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DEEP SUBMERSIBLE LOGISTIC SUPPORTDESIGN CONCEPT

David Thomas Byrnes

NAVAL POSTGRADUATE SCHOOL

Monterey, California

THESISDeep Submersible Logistic Support Design

by

David Thomas Byrnes

Concept

Thesis Advisor: Robert G. Paquette

September 1972

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Deep Submersible Logistic Support Design Concept

by

David Thomas ByrnesLieutenant Commander, United States NavyB. S., United States Naval Academy, 1963

Submitted in partial fulfillment of the

requirements for the degree of

MASTER OF SCIENCE IN OCEANOGRAPHY

from the

NAVAL POSTGRADUATE SCHOOLSeptember 1972

ABSTRACT

This thesis proposes a simplification of the logistic and operational

problems of deep submersibles using a support craft-submersible combina-

tion. Shown is an improved vehicle launch and recovery method and a

means to transfer personnel, supplies, and services during sea conditions

presently detrimental to such operations. The combination is shown as

capable of short range operations close to port as a complete unit,

but for distant areas, the combination, which is air transportable, may

require tending services of an available larger ship. A scale model of

the combination was built to illustrate a method for support craft and

submersible bow-to-stern mating concept. Designs for the submersible

indicate how the system components can accommodate an elevator to reduce

vehicle drag and to make equipment accessible for maintenance. Efficient

buoyancy material is important to the idea. Small diameter porcelain

spheres were made and tested to show the feasibility of sphere-syntactic

foam conglomerate for buoyancy at 20,000 feet.

.. 2

TABLE OF CONTENTS

I . INTRODUCTION 9

A. DEFINITION OF DEEP SUBMERSIBLE 9

B

.

NEED FOR DEEP SUBMERSIBLE 9

C. PROBLEM OF DEEP SUBMERSIBLE 10

D. SUGGESTED PROBLEM SOLUTION 10

E. APPROACH TO SOLUTION 11

II. REVIEW OF SUBMERSIBLE LOGISTIC PROBLEMS 13

A. BACKGROUND 13

B . TRANSPORTATION , LAUNCH AND RECOVERY 14

C. INTERACTION BETWEEN SUBMERSIBLE AND SUPPORT SHIP 16

D. BUOYANCY CONTROL 18

III. DESCRIPTION OF CONCEPT COMPONENTS 24

A. PORCELAIN SPHERES 24

1

.

Background 24

2. Description of Sphere Molds 25

3. Sphere Manufacturing 26

4. Sphere Pressure Testing.... 27

5. Sphere Data 29

6. Sphere Matrix in Syntactic Foam Development 34

B . SUPPORT CRAFT DEVELOPMENT , 37

1. Objectives 37

2

.

Bow to Stern Support Mating 38

a

.

Background 38

b. Landing Craft Modifications 38

3. Coupling Systems 40

a. Model Coupling Device 40

b. Shock Mitigation 43

c. Coupling Strength 44

d. Advanced Coupling Proposals 45

C. SUBMERSIBLE DESIGN 50

1. Objectives 50

2. Shape and Dimension 50

3. Propulsion 54

4. Elevator Platform 55

5. Basic Framework..... 56

6. Additional System Component * 58

D. OPERATIONAL TESTING OF COMBINED MODELS 61

IV. INTERPRETATION OF RESULTS 63

A. RESULTS OF COMPONENT INVESTIGATIONS 63

B . FINAL RESULTS 64

V. RECOMMENDATIONS FOR FUTURE WORK 66

VI. CONCLUSIONS 68

COMPUTER OUTPUT OF BUOYANCY MODULE DATA 69

COMPUTER PROGRAM FOR GENERATING BUOYANCY MODULE DATA 125

LIST OF REFERENCES 126

INITIAL DISTRIBUTION LIST 128

FORM DD 1473 131

LIST OF TABLES

TABLE

I DEEP SUBMERSIBLE SUPPORT REQUIREMENTS AND SYSTEMS 12

II LIGHTER THAN WATER BUOYANCY MATERIALS 21

III PRESSURE TEST DATA FOR TWO INCH DIAMETER PORCELAIN SPHERE 31

IV PRESSURE TEST DATA FOR THREE INCH DIAMETER PORCELAIN SPHERE... 32

V PRESSURE TEST DATA FOR FOUR INCH DIAMETER PORCELAIN SPHERE 33

VI LCM (6) CHARACTERISTICS 39

VII PORTABLE SUPPORT EQUIPMENT 41

VIII SHEAR AND BENDING MOMENT RESULTS 45

IX SERVICING SYSTEMS VIA HOLLOW COUPLING MECHANISM 47

LIST OF FIGURES

FIGURE

1 TRIESTE (DSV-1) PRIOR TO GASSING 20

2 TRIESTE (DSV-1) GASSING COMPLETED 20

3 CHRISTMAS TREE ORNAMENT AND TWO INCH SPHERE MOLD 25

4 FOUR INCH SPHERE HALF MOLD 26

5 PORCELAIN SPHERE CRADLED IN MOLD 28

6 SPHERE FAILURE AT FLAT SPOT 28

7 BROKEN SPHERICAL SHELL 30

8 BUOYANCY MODULES WITH SPHERE MATRIX 35

9 MODEL OF LCM (6) 39

10 MODEL OF LCSS WITH LOCKING DEVICE COCKED 42

11 MODEL OF LCSS WITH LOCKING DEVICE TRIGGERED 42

12 SHOCK MITIGATION BUMPER SKETCH 44

13 MATING SEQUENCE— TOP VIEW 46

14 MATING SEQUENCE—SIDE VIEW 46

15 SUBMARINE PROFILES 48

16 MODEL OF SUBMERSIBLE 49

17 SUBMERSIBLE PRELIMINARY SKETCH 49

18 TRIESTE 1 51

19 TRIESTE II 52

20 TRIESTE (DSV-1) 53

21 SUBMERSIBLE MODEL WITH ELEVATOR LOWERED 57

22 BASIC FRAMEWORK 57

23 BUOYANCY MODULE PLACEMENT 59

FIGURE

24 BASIC FRAMEWORK WITH ADDITIONAL STRUCTURAL MEMBERS 59

25 FRAMEWORK WITH ELEVATOR 60

26 COUPLED LCSS/ SUBMERSIBLE MODEL 62

27 DESIGN CONCEPT 65

ACKNOWLEDGEMENTS

Personal thanks go to Doctor R. G. Paquette of the Naval Postgraduate

School, advisor, for his many suggestions on the organization of the

thesis material and to Doctor E. B. Thornton, second reader, for his

assistance.

Acknowledgements must be made to professors J. E. Brock and S. P.

Tucker, both of the Naval Postgraduate School, for their interest and

encouragement

.

The Naval Postgraduate School Machine and Mold Shop supervisors

Mr. P. H. Wisler and Mr. G. I. Gulbranson, respectively, deserve recogni-

tion for the guidance provided during the author's utilization of their

facilities.

My wife rates special thanks for her patience and her assistance was

of significant benefit to the successful completion of this thesis.

I. INTRODUCTION

A. DEFINITION OF DEEP SUBMERSIBLE

A deep submersible is a submarine vehicle capable of operating in

ocean depths of several thousand to twenty thousand feet or greater.

This vehicle may be manned, unmanned, tethered or nontethered. It is a

craft too limited by size and mission to make it a self-sustaining ship,

thus requiring extensive logistic support.

B. NEED FOR DEEP SUBMERSIBLE

To implement national policy, governments require deep submersibles

to establish, inspect and protect their oceanic interests and to do the

exploratory work necessary to establish claims to underwater resources

under international law. Search and rescue responsibilities require a

deep submersible to be prepared to respond to events such as the THRESHER,

Palomares H-bomb and the SCORPION crises. Record-making feats, such as

TRIESTE'S dive to 36,800 feet, add to national prestige.

Submersible craft are instruments for scientific research. Short

term, well defined research objectives requiring deep submersibles exist

in the fields of pollution control, food production and mineral explora-

tion. Long term, more generalized investigations are certain to find

application in the future.

C. PROBLEM OF DEEP SUBMERSIBLE

A seaworthy deep submersible which can provide economic dividends

commensurate with the money required to remain operational does not

exist. The high cost of operating is related to the methods of logistic

support rendered to the deep submersible while on the ocean's surface.

Even moderate sea states cause difficulty in transferring personnel and

heavy equipments for providing routine services between a support ship

and deep submersible and in launching and recovering the craft. Costly

delays of days or weeks occur due to the weather. Transportation of the

submersible to the diving operation site is an additional requirement

which often proves difficult and expensive to accomplish.

D. SUGGESTED PROBLEM SOLUTION

Most of the logistic problems outlined in the preceding section could

be reduced if the submersible and a small support craft could be locked

together with a mechanical coupling through which personnel and materials

could transfer and services could be accomplished in moderate sea states.

The configuration would be an economical, seaworthy unit capable of riding

out rough seas if the weather deteriorated. For operations near port,

the submersible and support craft would operate independent of additional

assistance; while in remote locations, a tender ship may be required to

be available in the area. The ability to transport the submersible and

support craft components of the modular system by aircraft would be a

desirable feature.

The weight of materials used to fabricate submersibles operating at

great depths requires a means for external buoyancy which should be

adjustable to compensate for equipments changes. To achieve this, a

10

solid buoyancy module of syntactic foam-porcelain sphere conglomerate is

proposed. The buoyancy module reduces submersible size and weight while

eliminating problems associated with liquid and gas floatation systems.

Sensing systems such as cameras, hydrophones, personnel sphere, etc.,

which presently are mounted externally on the submersible' s hull, remain

underwater when the vehicle is on the surface. The systems are inaccessi-

ble for maintenance and are exposed to wave damage. An elevator, contain-

ing the vulnerable equipment, lowered from within the submersible would

correct the exposure faults.

A discussion of the problems presented and a proposed solution is

given in this thesis.

E. APPROACH TO THE SOLUTION

This thesis first acquaints the reader with the primary handling and

supply complexities associated with deep submersibles. Secondary

logistic problems, including those listed in TABLE I, are also discussed.

The design parameters for a system which will alleviate these problems

are then deduced. A syntactic foam composite, a key design parameter,

is investigated in greater detail to determine the feasibility of

including a matrix of porcelain spheres for the overal reduction of

submersible size and weight without sacrificing deep depth capability.

Based on the design characteristics determined to this point, a reasonable,

inexpensive method to test the idea is formulated.

A scale model of support craft, locking device and submersible was

constructed. The submersible model shows how the elevator works in the

raised and lowered positions. The model was tested in a tank to determine

its response to water motions. These subjects are discussed in subsequent

sections.

..11

TABLE I

DEEP SUBMERSIBLE SUPPORT REQUIREMENTS AND SYSTEMS

1. High Pressure Air Charging

2. SCUBA Diving

3. Battery Charging

4. Reballasting

5. Short Range Communication via Sound Powered Phones, Walkie-Talkie,and UHF

6. Performing Maintenance Routines

7. Maintaining Equipment Certification and Safety Standards

8. Repair Parts Stowage and Inventory

9. Fire Prevention

10. Compressed Gas Stowage and Handling

11. Running Lights

12. Ground Tackle

13. Small Boats

12

II. REVIEW OF SUBMERSIBLE LOGISTIC PROBLEMS

A. BACKGROUND

The submersible, as a type of submarine designed to penetrate the

deepest ocean, is a relatively new invention. The first bathyscaph, a

manned submersible designated FNRS-2, was built in 1948 by Auguste Piccard.

During sea trials, heavy swell caused personnel in charge of handling the

bathyscaph to lose control with the resulting accidental, unmanned dive

to 4,527 feet as related by Sweeney [Ref. 1], The designer, Piccard, had

given insufficient thought to the logistics of handling his submersible

at the ocean's surface. Although sometimes taken for granted or even

ignored in discussions of submersibles, logistic support is as important

to undersea exploration as the vehicle itself. In the opinion of Horton

[Ref. 2] "at least 60% of the cost of manned submersible systems and

75% of the operating problems are associated with the surface."

The loss of the USS THRESHER (SSN593) in 1963 motivated the formation

of the Deep Submergence Systems Review Group (DSSRG) to study submersible

problems and make recommendations for their correction. A survey of the

literature concerning submersible logistic problems including the DSSRG

final report [Ref. 3], numerous magazine and journal articles, technical

reports, and books points out the three major areas of surface logistic

problems as:

Transportation, launch and recoveryTransfer of personnel and materials between submersible and support

shipBuoyancy control.

Subcategories of tbese areas include battery charging, ballasting, air

charging, safety certification, and navigation and communication maintenance.

13

The approach to supporting submersibles has followed two schools of

thought - the ship oriented and the submersible oriented methods. The

ship oriented version considers the submersible as one of several tools

used to collect information, operating only as an extension of the ship.

The submersible oriented method presents the submersible as the primary

element of the organization, while the support ship, designed to provide

services for the vehicle, exists in a secondary position.

Support requirements vary with the type of submersible, be it of

shallow or deep water design. The shallow depth vehicle relies solely on

the use of air systems for major buoyancy control and carries the majority

of machinery and equipment within the pressure hull for protection from

ambient water conditions. The deep submersible maintains buoyancy

control by flooding tanks and dropping weights. Motors, batteries,

electrical boxes, pumps, winches, etc. are externally located, exposed to

water pressure and temperature variations.

B. TRANSPORTATION, LAUNCH AND RECOVERY

Sea state is the greatest natural hazard to successful submersible

operations. A support vessel provides transportation to the diving

location, carrying the submersible cradled on board or towed astern.

Support vessels require crane and winch systems especially designed to

handle heavy loads swinging with the motions of the ship. The sinking

of the submersible ALVIN illustrates that present handling system designs

which have been engineered to maximum capability within their sea state

limitations are still not completely satisfactory. When sea state causes

moderate pitch and roll, the pendulum motion and high dynamic loading

imparted to a crane-suspended load is difficult, if not impossible, to

control, thus preventing submersible operations. Possible deterioration

..14

of the weather during a dive can change a placid sea surface present at

dive commencement to cresting waves during recovery operations several

hours later. An example is the irretrievable loss of a CURV vehicle

off the coast of Washington state when the control cable fouled, then

snapped, during a rough sea recovery attempt.

The Deep Submergence Rescue Vehicle, DSRV, system utilizes an underwater

mating technique to attempt to eliminate sea state problems. In describing

this technique, the literature states that the DSRV must maneuver to dock

on the afterdeck of a submarine or to land on a platform suspended from

a surface ship. Since submersibles require prompt recovery and often

terminate a dive because of low power capacity, this system may reduce

sea state problems, but may not adequately solve the logistic support

problems. The design concept reported herein proposes a submersible which

would be adaptable to known surface support techniques, yet provide a

submerged support technique where maneuverability of the submersible is

not a critical factor in its recovery.

The variety of transportation, launch and recovery systems creates a

man-imposed logistic problem. Craven and Searle [Ref. A] describe the

frustrations of working with the heterogeneous submersible systems

assembled for the H-bomb recovery off Palomares. The systems were not

adaptable to interface logistically with each other or with support ships

available in the area.

The proposed concept is adaptable because it includes an air-trans-

portable support craft which provides the necessary interface between

any support ship available and the submersible. Additionally, the

concept defines a basic framework which, if used for different submersible

designs, would standardize handling techniques and servicing routines.

15

C. INTERACTION BETWEEN SUBMERSIBLE AND SUPPORT SHIP

The logistic interactions between a submersible and its support ship

during diving operations include the exchange of information, personnel,

and material with frequency of exchange governed by the type and mission

of the submersible being serviced. In general, deeper diving, more complex

vehicles require greater servicing, thus being more reliant on external

assistance. Sea state limits the ability to accomplish interactions.

The capability of maintaining logistic contact presently diminishes

markedly when sea state three is exceeded.

The exchange of information requires means for communication. Those

utilized during logistic support of submersibles include megaphones, sound

powered phones, portable walkie-talkies, and installed UHF radios, each'

imposing certain logistic requirements to make them operate satisfactorily.

The exchange of equipment and personnel requires the utilization of

small boats such as rubber life boats, outboard motor-powered skiffs and

diesel- driven whale boats. The ability of a small boat to come alongside

a pitching submersible for the transfer of personnel and equipment risks

collision, personnel injury, and material loss. Invariably, wave activity

will douse everything which, for personnel, is inconvenient, but for

electrical equipment, is intolerable.

The personnel traveling between the two vessels might include SCUBA

divers, safety inspectors, repair technicians, operating pilots, etc.

Attachments being transferred include one or more lines and hoses or

cables as required to accomplish the following evolutions: battery

charging, reballasting, air charging, dehumidifying, and electrical

grounding. The rigging systems involved are a challenge to even the

most capable boatswain mate. Equipment being transported to or from the

16

submersible includes: portable running lights, radios, tools, cameras,

and consumable items, such as lubricating oils and grease. Transferring

services over the water is a limiting factor to submersible operations.

ALUMINAUT, for example, was forced to retreat from heavy seas to

sheltered waters to accomplish battery charging without taking on water

through the open hatch.

Discussed to this point have been interactions between submersible

and support ship while operating at the ocean's surface. For submerged

operations, the support ship must preposition the submersible for the

dive to take place in the geographic area of interest. This navigational

aid continues throughout the dive via underwater sound communication.

In addition, the support ship must track the submersible to remain above

it and be able to recover the submersible after surfacing. The logistics

of maintaining this interaction requires a quiet vessel for listening,

presenting a problem to the surface ship with noisy equipment.

To overcome this difficulty, intermediate vessels such as motor whale

boats are employed to relay communications between submersible and command

control ship. Utilization of a submarine for a support ship, as in the

DSRV system, improves tracking efficiency for it is a quiet platform

designed for listening. In addition, the submarine can operate beneath

water temperature gradients which spoil sonar transmission.

The dependence of a deep submersible on a surface support ship seems

to be inherent to its operation even though it is a requirement fraught

with problems. To solve the problems encountered during interactions

between submersible and support ship, the proposed concept utilizes a

17

support craft designed to couple directly to the stern of the submersible,

Thus mated, the water gap and relative motion situations are eliminated.

Logistic servicing can then be accomplished with greater ease and under

safer working conditions. When uncoupled, the support craft, equipped

to track and communicate with its submerged vehicle, becomes a command

control platform.

D. BUOYANCY CONTROL

THioyancy is controlled by flooding or pumping tanks or by releasing

positive or negative buoyancy materials. To maintain the proper stab-

ility and attitude of a submersible, correct ballasting must be achieved.

The center of buoyancy must remain above the center of gravity during

submerged activity.

The logistics of ballasting a deep submersible such as TRIESTE

require gasoline and steel shot to be pumped to the bathyscaph while

it is towed astern of its support ship. Twenty-six tons of steel shot

is transferred to the submersible for every dive. Gasoline which is

substantially more compressible than sea water requires the continual

release of shot for the submersible to maintain near neutral buoyancy

control as it descends. For example, approximately twelve tons of shot

must be dropped to maintain neutral buoyancy at 36,000 feet.

Aside from the logistics of transferring shot to the submersible,

other problems exist. Steel shot corrodes rapidly in the oxygen-rich

surface waters. The oxides bind the shot into clumps which fail to

fall through the funnelshaped bottom of the shot tube; therefore, it is

advisable to dump any remaining shot following a dive and take on

twenty-six tons of known corrosion-free shot. A full load is required

18

because only when the tubs are full, can the operator be assured he has

dropped the correct amount prior to commencing a dive in order to maintain

the desired near-neutral trim control. Adopting the proposed concept

would drastically reduce the amount of shot required and the logistics of

handling it.

The choice of buoyancy material is so influential to the ultimate

design of a submersible that the various types and associated problems

require discussion. It is difficult to construct a small vehicle of

strong materials that is buoyant at substantial operating depths. The

total weight of the vehicle is greater than the volume of water dis-

placed; therefore, supplemental buoyancy is needed. Table II provides

a list of lighter than water materials which can be used to provide

buoyancy. For submersibles , only three have been used to any extent;

they are compressed air, syntactic foam, and gasoline. To date, only

one, gasoline used in floats for manned bathyscaphs, has worked to take

a vehicle down to 10,000 feet or greater.

Figures 1 and 2 depict the bathyscaph TRIESTE before and after it

is filled with 66,018 gallons of aviation gasoline. TRIESTE must be

filled with gasoline while being towed approximately 300 feet behind

its support ship. To transfer gasoline requires a complex rigging

system and consumes precious days of operating time. If sea conditions

increase while TRIESTE is filled with gasoline, there is no alternative

but to tow her until calm seas permit degassing and redocking. Should

repairs require redocking, many more days of operating time would be

lost. Gasoline cannot be left aboard TRIESTE either while docking, as

her draft would not clear the sill, or when in the support ship dry

dock as her structural members could not support the weight.

19

FIGURE 1. TRIESTE (DSV-1) PRIOR TO GASSING

FIGURE 2. TRIESTE (DSV-1) GASSING COMPLETED

20

TABLE II

MATERIAL

Gasses

AirHydrogenHeliumNitrogen

LIGHTER THAN WATER BUOYANCY MATERIALS

REMARKS

Highly compressibleHigh thermal contractionToxic or flammable

Liquids

GasolineEthyl AlcoholAmmonia SolutionsKeroseneTurpentineOils

Compressibility varies with depth,

subjected to temperature change

Solids

Glass MicrospheresMacrospheresLithiumSyntactic Foam CompositesSodium

Reactive metalsMacrospheres subject to sympatheticimplosionsAbsorption problems

The logistics of gasoline supplemental buoyancy necessitates extra

safety precautions. To prevent explosive vapors from being ignited by

a careless spark, static electricity, or the sun's concentrated heat,

the floatation tanks are kept filled with nitrogen gas. This is vented

to the atmosphere when the float is filled prior to diving. After

degassing, the nitrogen is passed via hose from the stowage bottles on

the support ship to TRIESTE. After dry docking, extensive ventilation

is conducted until the monitors show all traces of gasoline vapor have

evaporated. Static-free clothing is required and spark-producing tools

21

and heat generating systems such as the galley range are secured until

vapor free conditions are guaranteed. This can be a habitability

inconvenience, especially in tropic waters with the air conditioning

plant shut down. The use of large quantities of fluid for supplemental

buoyancy requires piping systems, electrically operated valves, and

many one-of-a-kind handling systems for logistic servicing.

The use of syntactic foam for supplemental buoyancy is highly

desirable and fits into any future submersible designs. It is a composite

material of hollow glass microspheres and a resin matrix. The low density

3of the microspheres, which ranges from approximately 15 to 25 lb/ ft

,

permits the fabrication of a family of buoyancy materials in density

3ranges of approximately 30 to 44 lb/ft ; the higher density foams possess

the greater strength necessary for deep ocean applications. The variations

in density are due to the type of resin used and number of microspheres

packed into a given volume of foam.

To increase the buoyancy of a given volume of syntactic foam, Stechler

and Resnick [Ref. 5] suggest imbedding one to four inch hollow spheres

within the foam. References 6 through 10 discuss the development of a

syntactic foam-sphere conglomerate which yields an optimized module in

the shape of a hexagonal-based prism. Ianuzzi [Ref. 9] states "it should

be possible to make up large blocks by cementing together flat plates

(of syntactic foam) with multiple cavities."

The proposed concept advances the buoyancy module development by

investigating porcelain spheres for their strength and buoyancy character-

istics. A sphere-foam conglomerate able to work at 20,000 feet is designed

to be logistically supportable. The proposed concept permits buoyancy

module adjustment to compensate for equipment additions or deletions that

ballasting alone cannot accomplish.

- 22

In concluding the overall discussion of submersible logistic problems,

the various ship and vehicle oriented support ships have been reviewed.

The interactions between the support ship and submersible have been

discussed and the methods used to provide supplemental buoyancy from

compressible gasoline to solid syntactic foam were related. The problems

were presented with respect to present operational systems and the

proposed concept advanced as a solution which is further explained in the

following sections.

23

III. DESCRIPTION OF CONCEPT COMPONENTS

A. PORCELAIN SPHERES

1. Background

As noted in Section II, improvement of syntactic foam buoyancy

could be achieved by the introduction of small pressure-resistant spheres.

Spheres made of materials which have high compressive strength-to-weight

characteristics are desirable. Materials which have been investigated

for this purpose include aluminum, annealed and tempered glass, alumina

and fiber reinforced plastics. Porcelain, a member of the ceramic

family known to have desirable compressive strength-to-weight property,

appears to have been overlooked. Part of the work of this thesis was

concerned with the making and testing of porcelain spheres, then de-

signing a sphere-syntactic foam conglomerate that would be a practical

buoyancy module for applications in deep submergence.

Preliminary experiments in manufacture of a monolithio porcelain

sphere were carried out using a Christmas tree ornament as a pattern

for the plaster mold. Figure 3 shows the ornament lying inside the

two halves of the mold. Using this mold, a spheroid with obvious flaws

and lack of sphericity was produced. Measurements showed the spheroid

to have a specific gravity equivalent to syntactic foam and an average

diameter of two inches. In spite of the flaws, it survived at pres-

sures of 14,200 lb/in2, the maximum that could be obtained by the

hydraulic system of the testing facility at that time. After an hour

at depth, the spheroid was retrieved for inspection and broken to

measure shell thickness.

24

FIGURE 3. CHRISTMAS TREE ORNAMENT AND TWO INCH SPHERE MOLD

To produce better quality porcelain spheres of various diameters,

more precise equipment was assembled, using the facilities of a machine

and mold shop. The following section explains the assemblage and manu-

facturing details in further detail.

2 . Description of Sphere Molds

To obtain finished spheres of good sphericity required a mold of

the same quality. Solid aluminum spheres with diameters of 2 1/3, 3 1/3,

and 4 1/3 inches were machined and polished to 1/1000 inch accuracy.

The oversize diameter required allowance for plaster mold and porcelain

sphere shrinkage when completely dried. Using the solid aluminum sphere

pattern, plaster molds were poured. After several trial-and-error attempts,

good molds were produced. Three molds of each diameter were made;

Figure 4 shows a four inch mold. Note that it was made in two interlock-

ing halves with a pour hole centered in one hemisphere.

25

FIGURE 4. FOUR INCH SPHERE HALF MOLD

3. Sphere Manufacturing

The two halves of the mold are banded together and positioned

with the opening on top. Porcelain slip is poured into the opening until

the mold is full. After a short interval, depending on shell thickness

desired, the mold is turned over. Shells of 1/10 inch thickness take

about 40 seconds to set up. After the mold is reversed and excess slip

has drained from within the cavity, residual slurry in the neck of the

opening is trimmed. A volume of slurry calculated to fill the remainder

of the shell opening is injected by syringe into the opening. A plug

is inserted to seal the hole and the mold is rotated so that the slip

will distribute itself over the opening. The mold is then set aside for

several hours to allow the porcelain within to dry and shrink from the

plaster.

26

After sufficient drying time, the mold sections are separated to

reveal a perfectly produced spherical shell of slightly less diameter than

the original aluminum sphere. A pinhole is pressed through the shell to

prevent fracture by air compressed as the shell shrinks. The pinhole

also prevents the sphere from exploding during the firing process. After

firing, the pinhole is filled with epoxy. Figure 5 is a finished four inch

sphere cradled in its mold to provide a comparison of size from beginning

to completion of manufacturing.

Developing the techniques outlined above was not without its

problems which included improper plug closure and cracks developing in

the sphere resulting from premature opening of the mold. Several methods

were employed to plug the sphere opening. After experimentation, new

molds were cast with shallow neck openings and fitted plugs to facilitate

rapid trimming of excess slip and easy insertion of the plug.

The two inch shells came out reasonably spherical; however, the

larger shells tended to develop flat spots on the side where the shell

rested during firing. Improvised supports such as wedges and dishes had

only limited success in preventing the flattening shown in Figure 6. To

correct this difficulty, a support which fits the sphere and is made of

a high melting temperature material might be used, but time allowance did

not permit experimentation with this idea.

4. Sphere Pressure Testing

All tests were conducted in the 12-inch converted gun barrel

pressure test facility at the Naval Postgraduate School, Monterey,

California, during March 1972. Forty spheres of various diameters were

tested. Of the 63 produced, 23 had succumbed to manufacturing flaws or

handling mishaps.

27

FIGURE 5. PORCELAIN SPHERE CRADLED IN MOLD

FIGURE 6. SPHERE FAILURE AT FLAT SPOT

28

Prior to testing, the remaining spheres were weighed and volume

measured to provide data for computing their apparent specific gravity.

Apparent specific gravity will be noted as ASG in the rest of the text.

During testing the spheres were wrapped in a plastic mesh which had a

weight tied to it. The mesh held the sphere submerged in the center of

the test chamber. Spheres were selected at random for a variety of tests

which included different loading rates, number of cycles and implosion

characteristics. No spheres were instrumented with strain gauges because

a penetrator was not available for wires to enter the pressure vessel.

The use of the pressure testing system required an initial

assembly of components to achieve higher operating pressures and the

sriting of a set of operating instructions. Problems were minor with the

exception of time and physical energy required to manually open and lift

the muzzle breech mechanism. The number of spheres tested at any one

time was limited by operator fatigue, rather than mechanical difficulties.

5. Sphere Data

Commercially prepared porcelain slurry was obtained from the

ceramic hobby shop, Fort Ord, California. The slurry formula was proprie-

tary information, but based on a measured bulk specific gravity of 2.56,

a rough estimate for Youngs Modules of 14.5 x 10 lb/in is assured for

the resulting fire ceramics. A compressive strength for this type of

2porcelain is 100,000 lb/in . To determine shell thickness, it was

assumed that pieces of broken shell could be measured; however, the

spheres were so badly fragmented by the implosion that flat spots present

before failure could not be determined. To resolve this problem, spheres

with obvious defects or flat spots were broken open. Thickness was

determined for segments of the sphere to calculate an average shell

. 29

FIGURE 7. BROKEN SPHERICAL SHELL

thickness. Shell thickness for unbroken spheres of similar ASG was

assumed to be similar. Figure 7 shows a sphere broken for this purpose.

A measurement of selected chips after implosion showed no major

deviation from this assumption. Ultrasonic or X-ray measurements of

shell thickness would have been desirable, but the equipment was not

available. Sphericity was measured semi-qualitatively by the repeated

ability of a shell to roll freely on a flat surface and come to rest

without preference to a particular axis of orientation. All two inch

diameter spheres and one three inch diameter sphere passed the sphericity

test. A more complicated device for sphericity measurements can be

devised using a vise to hold the sphere on a turntable. A dial indicator

fixed to a platform adjacent to the turntable would record any deviation

in local sphere radius as the turntable was rotated.

30

TABLE III

PRESSURE TEST DATA FOR TWO INCH DIAMETERPORCELAIN SPHERES

SPHEREDIA- #^U «-! - «l« <JU W* £ <

PRESSURE/DEPTHKPSI * KFT

, -u j- j- ^ .- — *i- * - ju »•* *•- j- *ju j-. *;- •*» •...... , , ^. „. „.,*-»%.,,. n n- Y- — ** **- t-

* ASC- * REMARKSt J- £ ^ * * A t * * * £ * * £ * * V ~ * * * * * * * * £ ¥

2 -

2 -

2-32 - 4 *

•JL

2 - 5 *

2 - t .*

2 - 7 *

2 *" 8I

2 " 9 *

2 -10 *

2 -11 -y

2 -12 *

2 -13 *

2 -14j

2 -15 *

2 -16 *

2 -17 ri

a. v j- .•- a. i- a- J*r- *t v -* ** r- ' * n

14.2

13.5

1? .3

13. 7

13.2

6.1

13.6

14.2

14.1

8.0

13.5

13.9

15.

1A.2

13.6

14.3

29.

27.6

28.2

28.3

27.0

12.5

27.8

29.0

2 8.8

16. 3

27.8

28.4

3 0.7

29.0

27.8

28. 2

&

.43 8

.45 2

.441

.440

.439

.43 3

.436

.450

.455

.430

.436

.451

.426

.471

.438

.429

.43

*

WALL THICKNESS .070 INCH+/- .005 ORIGINAL SPHERE

ND SYMPATHETIC IMPLOSIONWHEN TESTED WITH * 3-3

BROKEN FOR SHELL THICKNESS.063 INCH +/- .005

: fc if £ t- i * k t- * f ¥ t * * £ * *

AVERAGES

SHELL THICKNESS

DEPTH POP. FAILJi(01 SC0UNTIN3

* CRACKED DURING TEST SHELL* THICK .064 INI +/- .005sfis

* CYCLED 5 TIMES TO 14,000* THEN HELD 12 HOURSJ-

A* PIN HOLE BLOWOUT THICKNESS* .066 INCH +/- .005* SYMPATHETIC IMPLOSION WITH* SPHERE * 2-16

h* CYCLED 6 TIMES TO 14,200* THEM TESTED TO FAILURE

* SYMPATHETIC IMPLOSION WITH* SPHERE # 2-12* CYCLED 10 TIMES m 14,200* THEN TESTED tp FAILURE•¥ r H" '.»•*» A- *.* T "* *? **• '* «* " -i" ^ ->*'*-** -r» T rr ^ *» — -** *r» **-

= 3.055 INCH

-sE = 28,379 FEET2-4, 2-7 AND 2-11)

APPARENT SPECIFIC GRAVITY = 0.440

31

TABLE IV

PRESSURE TEST DATA FDR THREE INCH DIAMETERPORCELAIN SPHERES

SPHERE i* PPESSURE/DEPTH du *DIA - n

•JU <PSI -J- KFT a* ASG JU

£&~ ?ziz*z?t~&1z-%^%*£:i!r:iUiii i -- U- OL. *A» *A» »l* WL> «J. ' J- -J* •-'- -»V «- ^ »i*"

* a- J-**• "T*

3 - 1dbj * y- .396 &* At Jb>

3 - ? *T»Jg * .434 *»-

55c * 4.sic

3 - 3 2.1 **

4.3 J- .433*

3 - 4 JU ??? Oj * .429 &* J- A *

3 - 5 * 2.6 *A

5.3•T5

.378

3 - 6 3.3J*

6.3A

.396

3 - 73&

6.1 **• 12.5 * .411 gb

a.-r*

3 - 8 6.3 JU 12.95*

.405d*

3 - 9 2. 3*

A4.1 .389

*3 -10 8.8 18.0 *

&.4C9

3 -11 V&

4.5a-

9.2 *J-

.399 5k

-J-1*

REMARKSj, j- y. J, v'.. »,, j- v- ,'^ v. o- O/ J- j, y- w -J' •'/ v'' J- f J- J^ *t- J* <JU !<* JU

BROKEN ^r^ THICKN r SS.048 INCH +/- .005BROKEN FOR THICKNESS.061 INCH +/- .005

FLOODED DURING TEST NOFAILURE OBSERVED

FAILURE AT FLAT SPOT SEEFIGURE 7

CRACKED DURING TESTTHICKNESS .053 IN +1- .005VERY GOOD SPHERICITY

*.»-. *.'- »*- •.'- JL> j' *'* •-'* » 1 * J" "'•' *** j^ -1-- j!^; *** **~ «l »*• A J* J- ».*» J- J-- V- v' **- «* «*• *'' J- J- »V "X **• "^ - "J-- j*- *" *-V «-** w *V J— »«. «A* •.'^ «Jg «JU •-'- Ow ^V *1^ w ^ V^ »A* *A« •

AVERAGES

SHELL THINNESS = 0.054 INCH

DEPTH FOR FAIL(DI SC0UNTIN

URE = 9 t 056 FEETG 3-1, 3-2 AND 3-4)


32

TABLE V

PRESSURE TEST DATA FOR FOUR INCH DIAMETERPDPCELAIN SPHERES

SPHERE * PRESSURE/DEPTH * *DIA- # * KPSI * KFT * ASG * REMARKS

Or JU U* J-

4 - 1 * * * .292 * BROKEN PCR THICKNESS* * * * .339 INCH +/- .0054-2* 1.0 * 2.0 * .223 * CRACKED DURING TESTju a. ju j.

4 - 3 * .8 * 1.6 * .254 * THICKNESS .040 INCH* * * * + /- .0054-4* 4.2 * 8.6 * .308 *»** «l> A A

4 - 5 * 3.1 * 6.3 * .300 * FLAT SPOT FAILURE* * # *

4 - 6 * 7.0 * 14.3 * .312 * FLAT SPOT FAILUREj> a- «l. »»£

4 - 7 * 6.3 * 12.9 * .331 * TOTAL FAILURE& 3?S o1

* j>

4 - 8 * 2.1 * 4.3 * .293 * CRACKED THICKNESS* - * * .341 INCH +/- .0054-9* 4.0 * 8.2 *. 310* CD MPLETE FAILURE& * sfe sic

*:£?;** £ ^ *• :* £ A £ $ £ ;|r~ £ r * # £ £^- * * **o;. £ # ^

AVERAGES

SHELL THICKNESS = 0.040 INCH

DEPTH FOR FAILURE = 7,300 FEET(ALL SPHERES)


33

Tables III through V summarize the data obtained for spheres used

in this investigation. The information indicates that two inch diameter

spheres can be made which provide more buoyancy per weight of material

than syntactic foam. The spheres have suitable strength properties to

resist implosion at 20,000 feet. Increasing ASG with larger diameter

spheres is related to the time allowed for the slip to set in the mold

before it was inverted to drain the excess. The larger sphere molds

produced thinner shells for an equivalent slip set-up time.

6. Sphere Matrix in Syntactic Foam

As mentioned in the introduction, hexagonal blocks of foam with

spheres arranged in a hexagonal close pack matrix appears to be the

optimum buoyancy module. Because of the danger of sympathetic implosion,

the spheres must be separated by a designated interval. The exact

separation interval for a given diameter sphere has not yet been defined.

In a later section, an approach to investigating and defining the interval

is provided. To illustrate the nature of the buoyancy module, Figure 8

presents various combinations of spheres and layering that can be achieved,

A module of approximately 75 pounds would be a convenient weight for

logistic handling and will be considered as the limiting weight in the

following calculations. A conglomerate module of Figure 8 would have a

greater buoyancy/strength ratio than a solid module of only foam. The

properties of the sphere would be improved by the foam. The shells

would be somewhat stiffened against collapse and the spheres would be

protected against accidental damage.

34

MODEL

I 8 III

o o

^Po°

MODEL

II S IV

\

o°&Po

o o ooo o oo o oo o

-P-P^p o ooo o .~ o oo o

FIGURE 8. BUOYANCY MODULES WITH SPHERE MATRIX

35

Four methods of assembling the block were used, in order to

determine the design parameters of an actual sphere-foam conglomerate.

Models I through IV sketched in Figure 8 illustrate these methods. Model I

assumes a base layer of seven spheres while Model III assumes a base

layer of three spheres. In similar fashion, Models II and IV are conr-

structed with 19 and 12 spheres, respectively, used in the base layer.

Specific gravities for foam and sphere were assigned while the spacing

between adjacent spheres was increased by 0.10 inch increments to 1.40

inch maximum.

A digital computer was used to calculate the various combinations

of sphere diameters, sphere intervals and sphere and syntactic foam

densities to determine the dimensions and buoyancy of the resulting

conglomerate. For comparative purposes, the net buoyancy gain of the

conglomerate over an equivalent volume of solid syntactic foam was also

computed. The tabulation of these calculations and the program which

generated the data follows the conclusions found at the end of this thesis.

The computations indicate that the initial number of spheres in the base

layer has negligible effect on buoyancy of the constructed model in a

group, i.e, I and II or II and IV. To use the computer program to

calculate the net buoyancy gain for a block of syntactic foam with un-

supported spherical cavities the entering argument, ASG, can be set equal

to zero. A trade off of strength in the module with the porcelain spheres

absent could be advantageous for buoyancy applications at lesser depths.

This information is also provided in the tabulation at the end of the

thesis.

36

From the tabulated data, a sphere-foam conglomerate module

incorporating two-inch spheres and a one-half inch spacing interval of

the Model II type is chosen for further calculations. Specific gravities

of 0.45 and 0.58 for sphere and foam respectively lead to dimensions of

13. A inches diameter and 31.8 inches height for an approximately 70

pound module, which has a lower density than an equivalent solid volume

of foam. In this example, approximately two pounds net buoyancy increase

is achieved for each 70 pound module. Reference 11 states that a deep

submersible may require between 50 to 80 thousand pounds of solid

syntactic foam for vehicle supplemental buoyancy. Replacing solid syn-

tactic foam with the buoyancy module conglomerate could reduce vehicle

weight by approximately 1400 to 2300 pounds. The overall weight reduction

would also decrease vehicle size requirements. Additional space and

weight savings are achieved when solid floatation is compared to gasoline

floatation. For example, over half of the 26 tons of steel shot ballast

used on TRIESTE to compensate for gasoline compressibility would be

eliminated, as would about one-third of the 8820 cubic feet of gasoline.

B. SUPPORT CRAFT DEVELOPMENT

1. Objectives

The task is to solve the general problems of transfer of personnel,

materials and services which were discussed in the introduction. The

solution has been approached by several methods which include hoisting the

submersible to the deck of a support ship, by bringing the submersible

onto a dry docking platform of a support ship and by mating in a piggyback

fashion on a support submarine. The following section suggests a new

approach to solving the basic problems.

37

2. Bow to Stern Support Mating

a. Background

Three articles of the numerous references surveyed implied

an end to end mating concept. The first is by Terry [Ref. 12] who

suggests submarines be designed with interchangeable bows designed for

particular missions such as torpedoes, mines, bulk cargo, petroleum,

missiles, etc. The second mention of end to end mating was proposed by

Friedman [Ref. 13] where the bow of a submarine was a control module

that could function as a rescue chamber by jettisoning the stern section

should an incident prevent the entire submarine from surfacing. A sketch

implying end to end submersible coupling is in an article by Dimitriadia

[Ref. 14].

To investigate the feasibility of bow to stern mating, an

economical first step would be to modify a ship such as a readily avail-

able amphibious landing craft.

b. Landing Craft Modification

Landing craft have seen numerous modifications to their basic

framework to provide task-oriented craft for river patrol, mine sweeping,

diver support, etc. Figure 9 shows a 1/4 inch = 1 foot scale model of

an LCM (6). All attempts to procure a model or blueprints of an actual

LCM (6) met with negative results; the dimensions for the constructed

model were taken from information listed in Table VI, obtained from

Janes Fighting Ships 1971-72 [Ref. 15]. A wind-up spring motor for a toy

boat was utilized to provide propulsion power. Because of space limita-

tions only one spring motor could be fitted into the model.

38

TABLE VI

LCM (6) CHARACTERISTICS

DISPLACEMENT, TONS

DIMENSIONS, FEET:

MAIN ENGINES:

CONSTRUCTION

55 (full load)

56.2 x 14 x 3.9

2 diesels, 2 shafts

450 shp = 9 knots

Welded steel

FIGURE 9. MODEL OF LCM (6)

39

The first decision in modification was to limit the length

of the support craft to fifty feet. The modified LCM (6), shown in

Figures 10 and 11, will be redesignated for the remainder of this thesis

as LCSS or Logistic Craft Submersible Support. A bow coupling device

to be discussed in greater detail is installed in the forward section

of the LCSS. The interior of the LCSS can be loaded with portable support

equipment in port, prior to shipboard launch, by a boat alongside or by

crane. The portable support equipment would be chosen from the items

listed in Table VII to meet the specific needs of the mission. The

normal mission of the LCM (6) is to transport tanks, vehicles and men

through the surf zone; therefore, it should satisfy similar requirements

at sea during submersible operations. The two-shaft, two-diesel craft

should be able to provide sufficient power to guide and control the

submersible locked to the bow of the LCSS.

3. Coupling Systems

a. Model Coupling Device

The device used to lock the two models together had to operate

on correct alignment contact of the LCSS and submersible. It was desired

to keep the device simple to eliminate the requirements for a remote

control wire or electronic controls. It was anticipated that the two

models would be tested in a tow tank to observe their response to wave

actions separately, when mated and after coupling. Figures 10 and 11

show the assembled apparatus in the cocked and triggered positions

respectively.

40

TABLE VII

PORTABLE SUPPORT EQUIPMENT

1. Battery Charging

Diesel/Generator UnitBattery Monitoring EquipmentConnecting Cables

2. Personnel Accomodations

Berthing for Two or Three PersonsSanitary FacilitiesRefrigerator

.3. VHF Radio Equipment

4

.

Radar

5. Electronics Workshop

6. Tool Boxes

7. Work Benches

8. Ballast Pumps and Equipment

9. Air Compressor and Hoses

10. Hydraulic Pumps

11. Scuba Diver Equipment

12. Fire Fighting and First Aid Equipment

13. Repair Parts

Buoyancy BlocksLampsFuses

14. . Consumables

C0_ Absorbent CannistersRagsLubricantsDiesel FuelBallastBatteries

15. Marker Buoys and Transponders

16. Flags, Pennants, Shapes, etc.

41

FIGURE 10. MODEL OF LCSS WITH LOCKING DEVICED COCKED

FIGURE 11. MODEL OF LCSS WITH LOCKING DEVICED TRIGGERED

42

Components of the locking device include: a rubber bumper,

locking piston, spring, trip latch and trip rod. When the locking

piston is retracted into the rubber bumper, the trip latch retains the

piston in the cocked position. When the trip rod is actuated by hitting

the stern of the submersible, the spring forces the locking piston

forward into the receptacle on the submersible and draws the two craft

firmly together. To separate the two models, the wire inside the LCSS

is retracted to cock the locking piston. All logistic support can now

be accomplished directly over the decks of the two craft,

b. Shock Mitigation

The coupling system would be subjected to motion in six degrees

of freedom , but , ideally all accelerations would be small during any mating

operation. The hydrodynamic force of the submersible stern section would

provide drag to hold its bow into the waves. The LCSS would be able to

use its two diesel engines to minimize surge, yaw and sway accelerations.

The rubber bumper would be filled with salt water by a fire pump to

provide a shock mitigation system. Figure 12 illustrates the interaction

of a distributed force on the bumper being dissipated via a nozzle to

the atmosphere. If the relief nozzle is secured when the LCSS is coupled,

additional tensioning of the locking piston is performed when the pump

pressurizes the bumper. A dynamic system could be designed to maintain

a specific range of tension forces acting on the locking piston by

adding or venting water pressure within the bumper. Should supplemental

fastening between the two craft be required during high seas or during

transit, bolts would be mechanically installed at the bumper boundary.

43

swing\CHECK^VALVE

RELIEF VALVE

SPHERODIALSALT \ BUMPER

MPACTFORCES

\ BUMPER WEDGEDINTO

SUPPORT CRAFT

FIGURE 12. SHOCK MITIGATION BUMPER SKETCH

c. Coupling Strength

A critical step in design analysis is to estimate the maximum

wave-induced forces that could be anticipated at the intersection of the

two craft. Table VIII lists a summary of rudimentary calculations for

shear and bending moments. The calculations were considered for concen-

trated loads of fifty tons acting twenty-five feet on either side of the

coupling. The coupled unit is considered to approximate a hollow tube

of 100 feet total length. The assumption is made that material continuity

exists throughout the cylinder. The rubber bumper represents a prolate

spheroid with the major axis of 12 feet and a minor axis of 8 feet, giving

a surface area of approximately 265 square feet.

44

TABLE VIII

SHEAR AND BENDING MOMENTS RESULTS

WaveCondition

HOGGING

SAGGING

FREE END

Sketch

± 1

Shear Bumper

(tons) (tons

+50 0.38

0.0

50 0.38

Moment

(ft-ton)

+625

-625

+A02

The values in this table frhich are over estimated by perhaps

a factor of four) point out the necessity for substantial strength in

the members that hold the joint together.

d. Advanced Coupling Proposals

After installation and testing of the prototype coupling

designs in the readily adaptable landing craft, the support craft would

be given an opportunity to prove its operational value. Establishing the

feasibility of this type of support craft would open the way toward

building a specific surface boat designed to provide submersible logistic

support. For the advanced mating designs, it is proposed that efforts

be made to use a tubular interconnection to permit a dry passage between

the mated combination. In Figures 13 and 14 the top and side views,

respectively, of a hollow locking piston show how the tubular inter-

connection might be achieved. Table IX lists some of the items that

could be exchanged via the dry passage interconnection. Investigations

into still more, advanced submarine support craft could be initiated.

- 45

s

wawwow&w

oHH

8

gM>

oHWO53

wwo53

CO

gM

46

TABLE IX

SERVICING SYSTEMS

HOLLOW COUPLING MECHANISM

1. Cables

a. Battery Chargingb. Auxiliary Powerc. Instrument Monitoring and Testing

2. Life Support Replenishment

a. Oxygenb. CO Scrubbersc. Fresh Waterd. Sanitation Facilities

3. Air Conditioned, Dehumidified Air to Cool Electronic Equipments

While on Standby and in Checkout Phases of Submersible PrediveSituation

A. Consumable Fluids

a. Hydraulic Oilb. Silicone Oilc. Compensating Oil

5. Ballast Transfer

6. High Pressure Air

a. Pneumatic Tool Operationb. Air Bottle Recharging

7. Sound Powered Phone Communication Lines

8. Fire Fighting

a. Foamsb. CO

c. Salt Water

9. Personnel Ingress/Egress

.. 47

A first step in testing the submarine support craft idea might

be to modify a recently decommissioned diesel submarine. Figure 15

compares the profiles of an SS416 class diesel submarine with one modified

to include a submersible locked into place at frame 40.

Arguments for or against this idea hinge on the relatively

high cost of maintaining the submarine. To counter the expense of

keeping the submarine certifiable to dive, one could permanently surface

the vessel or limit its dives to 50 feet. The reduction from a wartime

crew to a submersible support ship crew would reduce costs and provide

adequate hotel facilities and support systems ready for immediate

utilization. From an organizational standpoint, the submarine force

would have complete control over both craft and would not have to worry

about interface problems realized between surface and submarine sailors.

The surface support craft, still a major component of the concept, would

be used when the submersible was flown to remote areas or when the support

submarine was drydocked.

SUBMARINE

SUBMARINE WITH SUBMERSIBLE

FIGURE 15. SUBMARINE PROFILES

48

;

; ;:-::-£xW;:::^^

FIGURE 16. MODEL OF SUBMERSIBLE

SUBMERSIBLE

PRELIMINARY

SKETCH

FIGURE 17. SUBMERSIBLE PRELIMINARY SKETCH

49

C. SUBMERSIBLE DESIGN

1. Objectives

Considering the preceeding paragraphs of Section III, two design

parameters, the use of a solid floatation material and the coupling of

support and submersible craft, have been established. Additional design

parameters such as hull shape and weight distribution were based on work

done by Green [Ref. 11], Guided by those parameters, the submersible

pictured by the model in Figure 16 evolved from the preliminary sketch

shown in Figure 17. This design is expected to perform more tasks over

a broader spectrum of potential missions and yet be more economical to

support logistically.

2. Shape and Dimension

The basic shape approximates ideal streamline shape. The ellip-

tical cross-section with its major axis parallel to the water surface

provides increased roll stability and more desirable towing characteris-

tics. The twelve foot beam by ten foot height dimensions were chosen to

fit through an aircraft cargo hatch. The overall length of forty feet

was selected preliminary weight and buoyancy estimates for a submersible

capable of descending to depths greater than 20,000 feet.

A compromise to the streamline body is the cut-off stern section

used for the coupling mechanism. Available experimental data on projectiles

and fuselages with one flat end are described in the following relationship

taken taken from Hoerner [Ref. 16]

.

3Cr>* = n n?Q 41

[ d J / \l °FB

dB = diameter of the base

d = maximum diameter of vehicle

C = coefficient of base drag

C = coefficient of fore body drag

50

co

WHCOWI—

I

C*H

00

WPi

oM

51

wHenWHPiH

WPi

O

52

I

>Q

WHenWMPiH

OCN

WPi

uHfa

53

Noting the configurations of the deep diving bathyscaphes of

Figures 18 through 20, a modest C = .18 is assumed to account forr d

surface irregularities and protuberances. Assuming the maximum of

/d = 1, the reference equation indicates a base drag of C = 0.07, a

comparatively small number which is on the order of 9% of the total hull

drag.

The skegs are extensions of the keel used to provide vehicle

support when it is set down out of the water. They act as skis for

landing on the ocean's bottom, as bumper parts for underwater obstacles

which could scrape the vehicle's belly and also act to retard yaw, roll,

and sway accelerations.

3. Propulsion

While operating in the water column or on the surface, the

submersible will want to be able to use maximum speed and control if

required. However, on the bottom, the submersible requires vertical and

horizontal control with the ability to creep at speeds, generally less

than two knots to be able to see what passes beneath.- An externally

mounted electric motor system which has proven itself on NR-1 and other

vehicles would be positioned under the coupling mechanism. The motor

would be part of an active rudder system surrounded by the stern skegs.

To provide rudder controls, another motor or a hydraulic system would be

used. The stern motor would provide the major propulsion requirements.

Two smaller motors (noted Figure 17, but absent from the model

of Figure 16) provide supplemental submerged propulsion and the fine

control propulsion for bottom maneuvering. The two smaller motors are

located high on the hull to either side of the center axis. The location

of these motors reduces turbulence on the bottom which stirs up clouds

54

of silt which may reduce visibility enough to stop operations. The two

smaller motors rotate 90° from vertical to horizontal which, with forward

and reverse controls, provide a wide range of attitude control near the

bottom. To prevent damage to the motors while on the surface, they

could be folded into the sail area for protection. Ducted propellers

or tandem propellers are alternate propulsion methods which provide high

efficiency.

4. Elevator Platform

A means for exposing instruments, tools, cameras, lights and

cabin windows to the area of interest has to be provided. Referring to

the pictures of TRIESTE (Figures 18 through 20), note that, in general,

equipments of this type are placed external to the hull. When the submer-

sible is on the surface, the equipment remains submerged, being continually

subjected to corrosion and wave action. This fact is the cause of many

material failures mentioned in the introduction. An elevator platform

which can raise and lower from the keel is expected to alleviate this

problem. The platform will contain the majority of equipment used to

obtain information. An advantage to the elevator is that it can be

lowered partially when approaching bottom and still be protected by

the skegs or it can be lowered completely to provide unhindered visibility

when operating near the bottom.

When the submersible is surfaced with the elevator in the raised

and locked position, all equipment on the platform would be in a dry

working space, thus eliminating many of the SCUBA-trained technician

requirements. Equipments that remain submerged on other submersibles

would be accessible for maintenance and protected from wave forces.

•• 55

The platform elevator concept introduces several engineering

design requirements, such as watertight seal at the platform interface

with the keel, a hydraulic control system for elevator, pumping or

blowing systems for water removal, and a wiring harness to provide

electrical continuity between equipment on the platform and power source

within the float. Time permitted only a brief investigation into the

feasibility of these requirements. In one fashion or another, similar

situations have been satisfactorily dealt with, such as hatch seal

between the sphere and the float on bathyscaphes, the elevator systems

for oil rigs and the ASR-21, the ballast control of submarines, or the

wiring harness that moves up and down on submarine snorkel masts.

There are several other advantages to the elevator. When it is

retracted, instruments no longer protrude to spoil streamlining or exist

as fragile extensions which may foul on cables or other objects. The

relatively unobstructed space above the equipment in the elevator platform

permits inter changeability . For example, a new or up-graded personnel

sphere could be positioned and plugged into existing penetrator leads

with little or no shipyard time or facilities required. Reballasting

of the solid floatation modules would be routine without a complete

dismantling of the superstructure. Figure 21 shows the model with the

elevator platform in the lowered position beneath the submersible.

5. Basic Framework

A method to distribute the loads acting on the submersible

must be outlined. Literature provides little insight into the structural

aspects of hydrospace vehicles aside from pressure hull considerations

or outer shell fabrication. The approach selected for building the

framework was to use the simplest design that could do the job. A truss

of hollow pipes to achieve the best strength ratio is sketched in Figure 22.

56

.vfill

SMI; . Sill

FIGURE 21. SUBMERSIBLE MODEL WITH ELEVATOR LOWERED

BASIC

FRAMEWORK

FIGURE 22. BASIC FRAMEWORK

57

This sketch is used only to outline the skeleton and not meant to

imply any specific materials or means of fabrication.

A discussion of the various design proposals and how they integrate

into the basic framework is now considered. The keel in the vicinity of

the elevator platform requires an open area and room for a hoisting

mechanism that can transmit its load directly to the frame. The buoyancy

module blocks of floatation material must be supported in a vertical plane

for upward buoyancy forces when submerged or downward weight forces when

surfaced. Figure 23 suggests how this would be achieved. The stern

coupling mechanism should lock directly to the frame as well as other

components subject to high force such as the lifting and towing

and the skegs. Figure 24 contains the additional structural members for

these stipulations. The addition of an elevator platform is sketched in

Figure 25.

The hollow pipes could contain the compensating oil reservoir.

A compressible oil is necessary to compensate for the increasing buoyancy

with depth of syntactic foam. The two top longitudinal pipes could

serve as a stowage tube for rams that could be extended ahead of the

submersible. The leading tip of the ram could have lights and cameras

to extend the field of vision, thus increasing operating efficiency

and safety.

6. Additional System Component

The component design of the support craft and submersible leads

to the possibility of coupling a third module to either of the original

craft. The third module could be used to transport objects through the

water column between the ocean's surface and bottom. Heavy objects

which could not be handled by a mechanical arm could be transported in a

third module by remote ballasting control from the submersible.

58

BUOYANCY

PLACKMIiNT

FIGURE 23. BUOYANCY MODULE PLACEMENT

I > .- rV?£ '

BASIC FRAMEWORK

WITH

ADDITIONAL STRUCTURAL

MEMBERS

FIGURE 24. BASIC FRAMEWORK WITH ADDITIONAL STRUCTURAL MEMBERS

59

LEVATOR

FIGURE 25. FRAMEWORK WITH ELEVATOR

If the transported object were a pontoon, the submersible would

preposition it alongside a sunken object, attach lines from the pontoon

to the object, then manipulate the pontoon to jettison ballast and the

object would be lifted to the surface. Floatation aboard the pontoon

would be the syntactic foam buoyancy modules.

Another example would be a cargo module containing data collec-

tion instruments or sonar hydrophone arrays precisely positioned by the

submersible on either covert or overt mission. Weeks later, the submersi-

ble would return to the site, couple with the cargo module, and retrieve

them. If the cargo module contained a diving bell or a rescue chamber,

it would serve to transfer men or material between the surface layers

and the deep depths. Once in place, the rescue chamber could return

to the surface without assistance of the submersible, thus another

60

rescue module could be positioned on a stricken submarine immediately

after the preceding rescue module commenced its ascent to the surface.

An infinity of missions never before possible can be imagined

with the utilization of the cargo module idea. It might even be the

forerunner of the submarine method used to transport oil. Submarine

tankers have been proposed, but why waste the time of a ship and

crew when a string of oil tank modules could be filling at the ocean

bottom well head or be emptying at the refinery site while the submersi--

ble moves the tank modules from well to refinery and back.

D. OPERATIONAL TESTING OF COMBINED MODELS

Constructing the coupling device to be used with the model LCSS took

longer than expected. Due to insufficient time for equipment set up,

observation of LCSS and submersible response to wave tank motions was

not conducted. A successful bathtub test of the complete model pictured

in Figure 26 proved that mating was possible in turbulent, hand-generated

conditions. The draft of the LCSS was varied by adding weights to

cause an alignment mismatch between the mating craft. In calm water

conditions, a variation of several feet could be a problem, but it is

doubtful that an experienced seaman would load his vessel to the extent

that he had little freeboard and could easily be swamped.

An alternate testing method by using the graphic display unit of

the IBM 360 computer also failed to materialize. The six month interval

required to mail order an IBM operations manual, plus the additional time

required to program wave conditions and various vehicle parameters, was

not available.

61

noSwpaHPi

U

Pw

POu

CM

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gHPt4

Zte?my#m-#:

62

IV. INTERPRETATION OF RESULTS

A. RESULTS OF COMPONENT INVESTIGATIONS

The results of the experiments with porcelain sphere manufacturing

and pressure testing suggest that a two inch diameter sphere with

desirable specific gravity and strength characteristics for 20,000 foot

buoyancy can be produced. Three inch diameter sphere received detri-

mental flaws during the firing process. These facts imply that a

porcelain sphere with a diameter between two to three inches exists

that could be manufactured without introducing a flaw. Improved mechani-

zation and processing techniques would lead to producing this sphere

with predictable properties including a uniform shell thickness.

The results of calculations to determine dimensions and buoyancy of

a sphere-syntactic foam module suggests that such a conglomerate would

be advantageous compared to the utilization of syntactic foam alone.

Using the porcelain spheres discussed in the preceding paragraph, the

sphere-foam conglomerate would be strong enough to provide safe

supplemental buoyancy at 20,000 foot ocean depths.

A scale model assembly of the modified landing craft and bow locking

device illustrated a possible approach to investigation of a new mating

concept. A scale model assembly of a submersible designed to accommodate

solid floatation material, a stern mating mechanism and bull streamlining

features illustrated a possible approach to standardization in future

submersible construction. The coupled support craft and submersible

63

models illustrate an approach to solving severe logistic servicing

problems by eliminating the water gap and relative motions which

separate such systems today.

Considering all these interpretations in summary leads to the final

results which follow in the next section.

B. FINAL RESULTS

The final result of this thesis is a design concept using coupled

components to solve deep submergence logistic problems. In Figure 27, a

sketch of the design concept using rectangles to represent the components

summarizes the results. In anticipating the needs of the oceanographic

decade ahead, this thesis submits a new approach to meet the goals of

the 1963 Deep Submergence Systems Review Group. The final result of

this thesis is a design concept which could develop into a totally

submerged search and recovery system which could operate to depths of

20,000 feet.

64

TRANSPORT PHASE

I o n

"s. ^c

SERVICING PHASE

OPERATIONAL PHASE

SURFACE INTERMEDIATE DEPTHS

COMMUNICATIONS

FIGURE 27. DESIGN CONCEPT

65

V. RECOMMENDATIONS FOR FUTURE WORK

The temptation to list generalized and grandiose recommendations is

relinquished in favor of providing several worthwhile extensions of the

thesis that require more support.

1. Investigate the optimum spacing between spheres to prevent

sympathetic implosion. A paper by Lord Rayleigh, "On the Pressure

Developed in a Liquid during the Collapse of a Spherical Cavity",

[Ref. 17] suggests that the pressure at a relatively moderate distance

from the shell of the cavity can be calculated on the basis of sphere

radius and coefficients of material compressibility.

2. Program the IBM 360 computer graphic television display to

generate ocean wave conditions. Using the generated waves, superimpose

the models of the support craft and submersible to determine optimum

displacement and dimension characteristics of the mating of the two

craft. Determine the maximum sea state and maximum forces that could

theoretically be encountered. Film the various situations for presenting

the results and comparing the data.

3. Design a sea-going locking device to support the Naval Postgraduate

School Submersible SEA OTTER. Depending on time and money, the project

could be extended through actual construction in the machine shop and

bay trials. The SEA OTTER would not have to be dive operational, but,

once the support system was available and proven, it would help justify

making SEA OTTER a working laboratory for oceanography-oriented students.

66

\

4. Designs of any specific system described in the paper, such as

the hydraulic elevator system, the stern coupling mechanism, the extend-

able light and camera boom, the elevator wiring harness, the compensating

oil system, mechanical arm installation, etc. offer a challenge to any

engineering-oriented student.

5. Develop a tactical doctrine that the LCSS and submersible would

use during the mating sequence. Should a diesel submarine be used for

the support ship, adapt the MK 101 Fire Control System for use as a

submersible tracking and recovery system.

67

VI. CONCLUSIONS

The measurements made on porcelain sphere strengths and associated

computations indicate that a high strength buoyancy material made of such

spheres embedded in syntactic foam would be feasible and an advantageous

substitute for fluid buoyancy materials.

A coupled modular combination of deep submersible and support craft

appears to be a practical solution to the present severe logistic

problems which now attend deep submergence operations.

The components of the proposed design concept, taken together or

independently, in future submersible construction will improve efficiency,

improve current methods of transporting, maintaining and operating,

improve safety, improve working conditions, eliminate unnecessary work,

and very important, reduce overall costs.

68

BJOYAMCY MOCULE DATA

^c^tjf:^*

INCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 0.0 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540

::k^3f:sje

MODULE WEIGHTI SOLID

50.557.261.664.966.968.569.871.171 .472.473.274.373.273.5

INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.0 SYNTACTIC FOAMDIMENSIONS: LENGTH IN INCHES; WEIGHT IN

SPHERE HEXAGONINTERVAL DIAMETER

C.l 3.550.2 3.980.3 4.410.4 4.630.5 5.260.6 5.680.7 6. 110.8 6.530.9 6.961.0 7.391.1 7.611.2 8.241. 3 8.661.4 9.09

PRISMHEIGHT

469,.0374,,6305..7254..8214.,6183,.7159,,0139,,8122..3109,,398..189..279.,071,.8

75.075.275.275.75.75.75.75.675.175.575.876.675.175.2

S.G . =

POUNDS

NETGAIN

24.618.013.510.58.26.65.44.53.73.12.72.31.91.7

0.540


0.1 6.680.2 7.110.3 7.530.4 7.960. 5 8.390.6 8.610.7 9.240. 8 9.660.9 10.091. J 10.511. 1 10.941.2 11.371.3 11.791.4 12.22

***INCLUDED SPHERESPHERE A.S.G. =DIMENSIONS: LE


0. 1 9.810.2 10.240.3 10.660.4 11.090.5 11.510. 6 11.940.7 12.370. 8 12.790.9 13.221.0 13.641. 1 14. 071.2 14.491.3 14.921.4 15.35

PRISMHEIGHT

134.3117.4104.594.285.076.970.465.660.354.550.946.942.640.9


46.650.654.157.760.262.064.167.068.268.269.870.369.371.9

76.075.175.175.675.775.676.177.677.876.377.276.875.077.4

DIAMETER = 3.00 INCHES0.0 SYNTACTIC FOAM S.G.=

NGTH IN INCHES; WEIGHT IN POUNDS


PRI SMHEIGHT

63.,657..353.,349,,047..442..540,.538..335.,933,.43 0.,631.,428..525.,3

45.348.552,054.258.458.261.863.665.765.765.872.770.067.2

77.676.076.876.379.676.778.479.379.478.676.883.780.275.4

NETGAIN

29.424.521.013.015.513.612.310.69.68.27.46.55.75.5

0.540

NETGAIN

32.327.624.822.121.218.516.515.713.813.011.011.010.28.3

69

BJOYANCY MODULE DATA

*##**INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.0 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540

SPHEREINTERVAL

HEXAGONDIAMETER

PR I SMHEIGHT

MODULEI

WEIGHTSOLID

NETGAIN

^i S^S^JJt

0. 1

0.20.30.40.50.60.70.80.911.11

1.

1

234

12.9413.3713.7914.2214.6415.0715.4915.9216.3515.7717.2017.6218.0518.47

36.934.231.332.128.929.726.226.923.223.724.320.220.721.2

45.646.649.256.054.461.160.166.660.866.973.366.572.378.4

INCLUDEDSPHERE A.DIMENSIONS:

SPHERES.G

DIAMETER0.400

= 1.00 INCHES

7877758278857986788490798591

.2

.3

.3

.2

.5

.3

.7

.2

.4

.5

.9

.5

.4

.4

SYNTACTIC FOAM S G.=LENGTH IN INCHES; WEIGHT IN POUNDS

32.730.726.126.124.224.219.619.617.617.617.613.113.113.1

0.500

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEI

WEIGHTSOLID

NETGAIN

%*%%%

.1

.2

.3

.4

.5

.6

.7

.8

. 9

.0

.1

.2

.3

.4

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09

507.0404.3329.8274.7231.9199.2172.6150.9132.4118.2105.595.087.178.2

70.271.572.473.173.574.174.574.774.575.075.075.276.. 375.4

7575757575757575757575757675

NCLUDED SPHERE DIAMETER = 2.00 INCHESPHERE A.S.G. = 0.403 SYNTACTIC FOAM SIMENSIONS: LENGTH IN INCHES; WEIGHT IN P

.1

.1

.1

.2

.2

.5

.5

.6

.2

.6

.5

.6

.7

.8

• o • =OUNDS

4.93.62.72.11.61.31.10.90.70.60.50.50.40.3

0.500

SPHEREINTERVAL

HEXAGONDIAMETER

PRISMHEIGHT

MODULEI

WEIGHTSOLID

NETGAIN

0.10.20.30.40.50.60.70.80.91.01.11.21.31.4

6.687. 117.537.968.398.819.249.6610.0910.5110.941 1 . 3711.7912.22

143.612 7.1114.7102.791.683.875.270.662.959.853.649.848.544.0

69.470.472.172.772.473.672.875.273.375.973.874.177.875.9

75.275.476.376.375.576.375.277.375.177.675.375.479.077.0

5.94.94.23.63.12.72.42.11.81.71.51.31.21.1

70

BUOYANCY MODULE DATA

##***INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.500


0.1 9.810.2 10.240.3 10.660.4 11. 090.5 11. 510.6 11.940. 7 12.370.8 12.790.9 13.221. 13.641.1 14.071.2 14.491.3 14.921.4

* ****15.35

PRISMHEIGHT

69, 162,,959,.255,.050.,545,.743,,741,.639,.436.,934,.331 ,.432.,329,.2

MODULEI

71.671.773.874.774.572.875.076.877.778.077.175.482.278.7

WEIGHTSOLID

7877787978767879808079778480

INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM SDIMENSIONS: LENGTH IN INCHES; WEIGHT IN P

.0

.4

.9

.3

.5

.4• 4.9.6.5.5.5.2.6

.G.=OUNDS

NETGAIN

6.55.65.14.64.13.63,43.12.92.62.42.02.01.9

0.500


0.1 12.940.2 13.370.3 13.790.4 14.220. 5 14.640.6 15.070.7 15.490.8 15.920.9 16.351. 16.771.1 17.201.2 17.621.3 18.051.4 18.47

*****INCLUDED SPHERESPHERE A.S.G. =

DIMENSIONS: LE


0.1 3.550.2 3.980.3 4.410.4 4.830.5 5.260. 6 5.680.7 6.110. 8 6.530.9 6.961.0 7.391. 1 7.811.2 8.241.3 8.661.4 9.09

PRISMHEIGHT

40..537.,935,,132,.132.,929,.730.,426,,927,.523..724.,324..820,,721,,2

MODULEI

72.773.372.671.277.974.581 .176.282.675.080.987.276.682.3

WEIGHTSOLID

7979787682798579867884907984

.6

.4

.3

.1

.8

.0

.6

.9

.2

. —

.2

.4

.0

.7



PRISMHEIGHT

469.0374.6305.7254.8214.6183.7159.0139.8122.3109.398.189.279.071.8

MODULEI

68.770.571.672.673.073.473.874.474.174.775.176.074.674.7

WEIGHTSOLID

75.075.275.275.375.175.175.275.675.175.575.876.675.175.2

NETGAIN

6.96.15.74.84.84.54.53.63.63.33.33.32.42.4

0.540

NETGAIN

6.44.73.52.72.11.71.41.21.00.80.70.60.50.4

71


*****INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540

SPHERE HEXAGON PRISM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT I SOLID GAIN

****:

0.G.0.0.0.0.0.0.0.1.1.1.1.1.

6.687.117.537.968.398.819.249.6610.0910.511J.9411.3711.7912.22

INCLUDED SPHERESPHERE A.S.G. =

134.3117.4104.594.285.076.970.465.66 0.354.553.946.942.640.9

DIAMETER =

0.400

68.3 76.068.8 75.169.7 75.171.0 75.671.6 75.772.1 75.673.0 76.174.9 77.675.3 77.874.2 76.375.2 77.275.1 76.873.6 75.076.0 77.4

3.00 INCHESSYNTACTI-C FOAM S

DIMENSIONSG.=

LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

*?" ^ »F *T* +T

. 1

.2

. 3

.4

.5

. 6

.7

.8

.9

.0

.1

.2

.3

.4

HEXAGONDIAMETER

9.8110.2410.6611.0911.5111.9412.3712.7913.2213.6414.0714.4914.9215.35

PR I SMHEIGHT

63.657.353.349.047.442.540.538.335.933.430.631.428.525.3

MODULEI

69.268.970.370.674.171.974.175.275.975.373.980.877.673.3

WEIGHTSOLID

77.676.076.876.379.676.778.479.379.478.676.883.780.275.4

NCLUDED SPHERE DIAMETER = 4.00 INCHESPHERE A.S.G. = J. 400 SYNTACTIC FCAM S.G.=IMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

0. 1

0. 20.30.40.50.60. 70.80.91.01.11.21.31.4

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2017.6218.0518.47

PRISMHEIGHT

36..934..231,.332..128..929,.726.,226..923,.223..724,.320..220..721,.2

MODULEI

69.869.468.67f>.472.379.074,-781.273.879.986.476.282.088. 1

WEIGHTSOLID

78.277.375.382.278.585.379.786.278.484.590.979.585.491.4

7.66.45.44.74.03.53.12.82.52.11.91.71.51.4

0.540

NETGAIN

8.47.16.45.75.54.84.34.13.63.42.92.92.62.1

0.540

NETGAIN

8.58.06.86.86.36.35.15.14.64.64.63.43.43.4

72


*****INCLUDED SPHERE DIAMETER = 1.00 INCHFSSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

3.580


0.1 3.55 436.8 67.4 75.1 7.60.2 3.98 349.0 69.6 75.2 5.60.3 4.41 284.9 71.0 75.2 4.20.4 4.83 236.2 71.8 75.3 3.20.5 5.26 200.0 72.7 75.2 2.60.6 5.68 170.9 73.0 75.1 2.00.7 6.11 148.5 73.7 75.4 1.70.8 6.53 130.2 74.2 75.6 1.40.9 6.96 113.9 73.9 75.1 1.11.0 7.39 102.2 74.9 75.9 1.01.1 7.81 90.6 74.4 75.3 0.81.2 8.24 81.4 74.4 75.1 3.71.3 8.66 74.9 75.9 76.5 0.61.4 9.09 67.6 75.4 76.0 0.5

^c ;$e ;$c ri; sjc

INCLUDED SPH DIAMETER =2.00 INCHE:5

SPHERE A.S.G. = 3.400 SYNTACTIC :am s.g.= 0.58DIMENSIONS: LE NGTH IN INCHES; WEIGHT IN POUNDS


0.1 6.68 125.0 66.8 75.9 9.20.2 7.11 139.6 67.7 75.4 7.60.3 7.53 98.4 69.4 76.0 6.50.4 7.96 87.9 70.1 75.7 5.60. 5 8.39 83.5 72.1 77.0 4.90.6 8.81 72.3 72.1 76.4 4.30.7 9.24 65.6 72.4 76.1 3.70. 8 9.66 60.7 73.8 77.1 3.30.9 10.09 55.2 73:. 5 76.4 2.91. 3 10.51 51.8 75.3 78.3 2.61. 1 10.94 48.1 76.0 78.4 2.41.2 11.37 44.1 75.4 77.5 2.11.3 11.79 39.7 73.2 75.1 1.81.4 12.22 37.9 75.4 77.0 1.6

*****INCLUDED SPHERE DIAMETER = 3.33 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WETGHT IN POUNDS

0.580

SPHERE HEXAGON PR I SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT I SOLID GAIN

0. 1 9.81 58.1 66.3 76.1 9.80.2 10.24 54.4 68.7 77.6 8.90.3 13.66 5 0.4 69.9 77.9 8.00.4 11.09 46.0 69.8 76.9 7.10.5 11.51 44.3 73.5 79.9 6.40.6 11.94 39.3 70.7 76.2 5.50.7 12.37 37.2 72.1 77.4 5.20.8 12. 79 34.9 73.1 77.7 4.60.9 13.22 32.4 7Z.6 77.1 4.31.0 13.64 29.8 71.8 75.5 3.71. 1 14. 37 30.6 78.8 82.5 3.71.2 14.49 27.7 75.8 79.2 3.41.3 14.92 28.5 62.8 86.2 3.41.4 15.35 25.3 78.3 81.0 2.8

73


$:";*£*


SPHEREINTERVAL

*****

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3515.7717.2017.6218.0518.47

PRI SMHEIGHT

33.,334,.231,,328,,228,,925,.626,.222,.623,,223,.719.,820,,220,.716..4

MODULEI

65.572.872.269.576.372.579.172.176.384.975.181 .187-.

3

72.3

WEIGHTSOLID

75.883.080.977.584.479.085.678.084.290.879.585.491.776.0

CLUDED SPHERE DIAMETER = 1.00 INCHESHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=MENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.580

NETGAIN

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEI

WEIGHTSOLID

0.2.0.28.78.18.16.56.55.95.95.94.44.44.43.7

0.500

NETGAIN

**5fc* A

0. 1

0.20.30.40.50.60.70.80.91.01.11.21.31.4

3.553.984.414.835.265.686.116.536.967.3 97.818.248.669.09

INCLUDED SPHERESPHERE A.S.G. =DIMENSIONS:

507.0404.3329.8274.7231 .9199.2172.6150.9132.4118.2105.595.087.178.2

DIAMETER =

0.450

72.7 75.173.3 75.173.7 75.174.2 75.274.4 75.274.8 75.575.0 75.575.1 75.674.9 75.275.3 75.675.3 75.575.4 75.676.5 76.775.6 75.8

2.00 INCHESSYNTACTIC FOAM S.G.=


SPHEREINTERVAL

0.10.20.30.40.50.63. 70.80.91.01.11.21.31.4

HEXAGONDIAMETER

6.687. 117.537.968.398.819.249.6610.0910.5110.9411.3711.7912.22

PRISMHEIGHT

143.6127.1114.7102.791.68 3.875.270.662.959.853.649.848.544.0

MODULEI

72.372.974.274.574.075.074.076.. 274.276.774.674.778.476.4

WEIGHTSOLID

75.275.476.376.375^576.375.277.375.177.675.375.479.077^0

2.51.81.41.00.83.70.50.40.40.33.30.20.23.2

0.53

NETGAIN

2.92.52.11.81.61.41.21.13.90.80.70.70.60.5

74



3.500

SPHEREINTERVAL

- J -.'.- --L- v'.

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

HEXAGONDIAMETER

9.8110.2410.6611. 3911.5111.9412.3712.7913.2213.6414.0714.4914.9215.35

PRISMHEIGHT

69, 162..959,.255..050.,545,.743.,741.,639,.436.,934,.331 ,.432..329,.2

MODULE WEIGHT1 SOLID

74.8 78.074.6 77.476.3 78.977.3 79.376.5 78.574.6 76.476.7 78.478.4 79.979.2 80.679.3 80.578.3 79.576.5 77.583.2 84.279.7 80.6


*&:

SPHEREINTERVAL

0. 1

0.20.30.40. 50.60.70. 80.91. 31. 1

1.21.31.4

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2017.6218. 3518.47

PRISMHEIGHT

40.537.935.132.132.929.730.426.927.523.724.324.823.721.2

MODULE WEIGHT1 SOLID

76.1 79.676.4 79.475.4 78.373.6 76. 1

80.3 82.876.7 79.083.3 85.678.0 79.984.4 86.276.6 78.382.6 84.288.8 90.477.8 79.083.5 84.7


NETGAIN

3.22.82.62.32.01.81.71.51.51.31.21.31.00.9

0.500

NETGAIN

3.43.02.82.42.42.22.21.81.81.61.61.61.21.2

0.540

SPHERE HEXAGON PRI SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT I SOLID GAIN

0.1 3.55 469.0 70.9 75.0 4.10.2 3.98 374.6 72.2 75.2 3.00.3 4.41 305.7 72.9 75.2 2.30.4 4.83 254.8 73.6 75.3 1.70.5 5.26 214.6 73.8 75.1 1.40. 6 5.68 183.7 74.0 75.1 1.10.7 6.11 159.0 74.3 75.2 0.90. 8 6.53 139.8 74.8 75.6 3.70.9 6.96 122.3 74.4 75.1 0.61.0 7.39 109.3 75.0 75.5 0.51. 1 7.81 98.1 75.4 75.8 0.41.2 8.24 89.2 76.2 76.6 0.41.3 8.66 79.0 74.8 75.1 3.31.4 9.09 71.8 74.9 75.2 0.3

75


*£#**INCLUDED SPHERE DIAMETER = 2.03 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

HEXAGONDIAMETER

PR I SMHEIGHT

MODULEI

WEIGHTSOLID

^c**5{:^

0.1 6.680.2 7.110.3 7.530.4 7.960.5 8.390.6 8.810.7 9.240.8 9.660.9 10.091.0 10.511.1 10.941.2 11.371.3 11.791.4 12.22

INCLUDEDSPHERE A,DIMENSIONS:

134.3117.4104.594.285.076.970.465.660.354.55 0.946.942.640.9

SPHERE DIAMETER =

S.G. = 0.450

71.1 76.071.1 75.171.6 75.172.6 75.673.1 75.773.4 75*674.1 76.175.8 77.676.2 77.875.0 76.375.9 77.275.7 76.874.1 75.076.5 77.4



SPHEREINTERVAL

*^x=^^

.1

.2

.3

.4

.5

. 6

.7

.8

.9

.0

.1

.2

.3

.4

HEXAGONDIAMETER

9.8110.2410.6611.0911.5111.9412". 3 712.7913.2213.6414.0714.4914.9215.35

PRISMHEIGHT

63.657.353.349.047.442.540.538.335.933.430.631.428.525.3

MODULEI

72.271.472.672.676.173.675.676.777.176.574.981.878.574.1

WEIGHTSOLID

7776767679767879797876838075

.6

.0

.8

.3

.6

.7

.4

.3

.4

.6

.8

.7

.2

.4


.G.=OUNDS

SPHEREINTERVAL

0. 1

0.20.30.40.50.60. 70.80.91.01. 1

1. 21.31.4

HEXAGONDIAMETER

12.9413.3713.791^.2214.6415.0715.4915.9216.3516.7717.2017.6218. 0518.47

PRISMHEIGHT

36,.934,.231,.332,.128,.929,.726,,226,.923 .223,.724 .320,• C20,.721 .2

MODULEI

72.872.271.077.874.5817683.075.581.688.077.483.289.3

WEIGHTSOLID

78.277.375.382.278.585.379.786.278.484.590.979.585.491.4

0.540

NETGAIN

4.94.13.53.02.62.32.01.81.61.41.21.11.00.9

0.540

NETGAIN

5.44.64.13.73.53.12.82.62.32.21.81.81.71.4

0.540

NETGAIN

5.45.14.44.44.04.03.33.32.92.92.92.22.22.2

76


£& sit**


0.5 80

SPHEREINTERVAL

ijt # sjr'ji: s(e

.1

.2

.3

.4

.5

.6

.7

.8

.9

.0

.1

.2

.3

.4

HEXAGONDIAMETER

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09

PRISMHEIGHT

43 6..8349..0284..9236,.2200.,0170,.9148.,5130.,2113..9102.,290,.681 ,.474,,967,.6

MODULE

69.671.272.272.773.473.674.274.674.275.274.774.676.175.6

WEIGHTSOLID

75.175.275.275.075.275.175.475.675.175.975.375.176.576.0

NCLUDED SPHERE DIAMETER = 2.00 INCHESPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=IMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

ifrif**,:*

.1

.2

.3

.4

. 5

.6

.7

.8

.9. 3.}.2.3.4

HEXAGONDIAMETER

6.687.117.537.968.398.819.249.6610.0910.5110.9411.3711.7912.22

PRISMHEIGHT

125..0109,.698..487,.980,,572.,365,.660,,755,,251..848.,144,.139.,737.9

MODULEI

69.369.871.371.773.573.373.574.774.376.176.776.073.875.9

WEIGHTSOLID

75.975.476.075.777.076.476.177.176.478.078.477.575.177.0


SPHEREINTERVAL

0.10.20.30.40.50.60.70. 80.91.01. 1

1.21.31.4

HEXAGONDIAMETER

9.8110.2410.6611.0911.5111.9412.3712.7913.2213.6414. 0714.4914.9215.35

PR I SMHEIGHT

58,.154,.450,,446,,044.,339,,337,.234..932,,429,.830.,627,,728.,525,,3


69.0 76.171.2 77.672.2 77.971.8 76.975.3 79.972.2 76.273.6 77.474.4 77.774.0 77.172.8 75.579.8 82.576.8 79.283.7 86.279.0 81.0

NETGAIN

5.54.03.02.31.81.51.21.00.80.70.60.50.40.4

0.580

NETGAIN

6.65.54.74.13.53.12.72.42.11.91.71.51.31.2

0.580

NETGAIN

7.16.45.85.14.64.03.83.33.12.72.72.52.52.0

77


%&%%%INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.580

SPHEREINTERVAL

# # * Sj: ^c

. 1

.2

. 3

.4

.5

.6

.7

. 8

.9

.0

. 1

.2

.3

.4

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2317.6218.0518.47

PRI SMHEIGHT

33.,334,.231,,328..228,.925,.626, 222,.623,,223,.719.,820..220,.116..4

MODULEI

68.475.774.671.778.574.380.973.780.086.576.382.383.573.3

WEIGHTSOLID

7583807784798578849079859176

.8

.0

.9

.5

.4

.0

.6

.0

.2

.4

.7

.0


.G.=OUNDS

SPHEREINTERVAL

0. 1

0.20.30.40.50. 60.70.80. 91.01.11.21.31. 4

> «.V jL» *. ' - «j_

HEXAGONDIAMETER

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09

PRISMHEIGHT

507,,0404,,3329,.8274,,7231,.9199..2172.,6150,.9132.,4118.,2105,.595,,087,.178,.2

MODULEI

75.175.175.175.275.275.575.57575757-5

75.676.775.8

WEIGHTSOLID

75.175.175.175.275.275.575.575.675.275.675.575.676.775.8

INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.530 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH JN INCHES; WEIGHT IN POUNDS

NETGAIN

7.47.46.35.85.84.74.74.24.24.23.13.13.12.7

0.500

NETGAIN

0.00.00.00.00.00.00.00.00.00.00.00.00.00.0

0.50


0. 1 6.68 143.6 75.2 75.2 0.00.2 7. 11 127.1 75.4 75.4 0.00.3 7.53 114.7 76.3 76.3 0.00. 4 7.96 102.7 76.3 76.3 0.00.5 8.39 91.6 75.5 75.5 0.00.6 8.81 83.8 7,6.3 76.3 0.00. 7 9.24 75.2 75.2 75.2 0.0O.S 9.66 70.6 77.3 77.3 0.00.9 10. 9 62.9 75.1 75.1 0.01.0 10.51 59.8 77.6 77.6 0.01.1 10.94 53.6 75.3 75.3 0.01.2 11.37 49.8 75.4 75.4 0.01.3 11.79 48.5 79.0 79.0 0.01.4 12.22 44.0 77.0 77.0 0.0

78


£*###INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS



0.1 9.810.2 10.240.3 10.6 60.4 11.090.5 11. 510.6 11.943. 7 12,370.8 12.790.9 13.221.0 13.641.1 14.071.2 14.491.3 14.921.4 15.35

ijc^cijc^^:

PRISMHEIGHT

69,.162. 959..255,.050,,545,.743.,741..639,.436..934, 331,.432..329,.2

INCLUDED SPHERE DIAMETER = 4.00

78.0 78.377.4 77.478.9 78.979.3 79.378.5 78.576.4 76.478.4 78.479.9 79.980.6 80.680.5 80.579.5 79.577.5 77.584.2 84.280.6 80.6

INCHESSPHERE A.S.G. = 3.5 00 SYNTACTIC FOAM S.G.=

J. 530

NETGAIN

3.30.00.03.30.00.00.00.03.00.00.00.00.00.0

0.500DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHERE HEXAGONNTERVAL DIAMETER

0.1 12.940.2 13.370.3 13.790.4 14.223. 5 14.640.6 15.070.7 15.490.8 15. 920.9 16.351. 3 16.771.1 17.201.2 17.621.3 18. 351.4 18.47

PRISMHEIGHT

40..537..935..132,.132..929,,730..426..927,.523.,124.,324..823.,721.,2


79.679.478.376.182.879.085.679.986.278.384.290.479.084.7

79.679.478.376.182.879.085.679.986.278.384,290.479.084.7

NETGAIN

0.,03..30.,00.,00,,00.,0J.,30.,00.,03..30.,00,,00.,00.,0


0.540


0.1 3.55 469.0 73.2 75.0 1.80.2 3.98 374.6 73.8 75.2 1.33.3 4.41 305.7 74.1 75.2 1.00.4 4.83 254.8 74.6 75.3 0.80.5 5.26 214.6 74.5 75.1 3.60.6 5.68 183.7 74.6 75.1 0.50.7 6.11 159.0 74.8 75.2 0.40. 8 6.53 139.8 75.3 75.6 3.30.9 6.96 122.3 74.8 75.1 0.31.0 7.39 109.3 75.3 75.5 0.21. 1 7.81 98.1 75.6 75.8 0.21.2 8.24 89.2 76.5 76.6 0.21.3 8.66 79.0 74.9 75.1 0.11.4 9.09 71.8 75.0 75.2 0.1

79

BJOYANCY MODULE D^TA

&%$c%H<;

INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FCAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540


0.1 6.680.2 7.110.3 7.530.4 7.960.5 8.390.6 8.810.7 9.240. 8 9.660.9 10.091.0 10.511. 1 10.941.2 11.371.3 11.791.4 12.22

#=r**

PRI SMHEIGHT

134.3117.4104.594.285.076.970.465.660.354.550.946.942.640.9

INCLUDED SPHERE DIAMETER =

SPHERE A.S.G. = 0.500


73. 8 76.073.3 75.173.6 75.174.3 75.674.5 75.774.6 75.675.2 76.176.8 77.677.1 77.875.7 76.376.6 77.276.3 76.874.6 75.077.0 77.4


DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

NETGAIN

2.21.81.61.31.11.00.90.80.70.60.50.50.40.4

0.540


0. 1 9.810.2 10.240.3 10.660.4 11.090.5 11.510.6 11.940.7 12.370.8 12.790.9 13.221.0 13.641.1 14.071.2 14.491.3 14.921.4 15.35

PRISMHEIGHT

63.,657,,353,.349.,047..442,,540.,538,.335.,933.,430,,631..428,.525,.3

O- J, O, J. o.

INCLUDED SPHERE DIAMETER = 4.00SPHERE A.S.G. = 0.500 SYMTACDIMENSIONS: LENGTH IN INCHES;


0. 1 12.940. 2 13.370.3 13.790.4 14.220.5 14.640.6 15.070. 7 15.490.8 15.920.9 16.351.0 16.771.1 17.201.2 17.621.3 18.051.4 18.47

PRISMHEIGHT

36.,934.,231,.332,.128,,929,.726.,226..923..223..724,.323,.220..721,.2

MODULE WEIGHT NETI SOLID GAIN

75.2 77.6 2.474.0 76.0 2.074.9 76.8 1.874.7 7o.3 1.678.1 79.6 1.675.3 76.7 1.477.1 78.4 1.278.1 79.3 1.278.4 79.4 1.077.7 78.6 1.076.0 76.8 0.882.9 83.7 0.879.5 80.2 0.874.8 75.4 0.6

INCHESCTIC FOAM S.G.= 0.54WEIGHT IN POUNDS

MODULE WEIGHT NETI SOLID GAIN

75.8 78.2 2.475.0 77.3 2.373.4 75.3 1.980.2 82.2 1.976.8 78.5 1.883.5 85.3 1.87S.3 79.7 1.584.8 86.2 1.577.1 78.4 1.383.2 84.5 1.389.6 90.9 1.378.6 79.5 1.084.4 85.4 1.090. 5 91.4 1.0

80


A* £*:£


SPHEREINTERVAL

0.10.20.30.40.50.60.70.80.91.01.11.21.31.4

##:*;;::

HEXAGONDIAMETER

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09


PRISMHEIGHT

436.8349.0284.9236.2200.0170.9148.5130.2113.9102.290.681 .474.967.6

DIMETER =0.500


71.7 75.172.7 75.273.4 75.273.6 75.074.1 75.274.2 75.174.6 75.475.0 75.674.6 75.175.4 75.974.9 75.374.8 75.176.2 76.575.7 76.0

INCHES2.00SYNTACTIC FOAM S.G.=

DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.10.20.30.40. 50.60.70. 80.91. 31. 1

1.21.31.4

*!iti::

6.687.117.537.963.398.819.249.66

10.0910.5110.9411.3711.7912.22

125.0109.698.487.98 0.572.365.660.755.251.848.144.139.737.9

71.972.073.173.274.974.574.575.675. 1

76.877.376.674.376.3

75.975.476.075.777.076.476.177.176.478.078.477.575.177.0



0. 1 9.810.2 10.240.3 10.660.4 11.090.5 11.510.6 11.940.7 12.370. 8 12.790.9 13.221.0 13.641. 1 14. 371.2 14.491.3 1^.921.4 15.35

PR I SMHEIGHT

53.,154..453.,446.,044,,339.,337,.234..932.,429,.833,,627,,728..525,,3

MODULEI

71.873.674.473.877.173.775.0757573.88 3.877.784.779.8

WEIGHTSOLID

76.177.677.976.979.976.277.477.777.175.582.579.286.281.0

3.580

NETGAIN

3.42.51.91.41.10.90.70.63.50.40.43.30.30.2

0.580


4.13.42.92.52.21.91.71.51.31.21.10.93.30.7

0.580

NETGAIN

4.44.03.63.12.92.52.32.31.91.61.61.51.51.2

81


A AAA A


0.580

SPHERE HEXAGON PR I SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT i SOLID GAIN

0. 1 12.94 33.3 71.2 75.8 4.50.2 13.37 34.2 78.5 83.0 4.50.3 13.79 31.3 77.0 80.9 3.90.4 14.22 28.2 73.9 77.5 3.60.5 14.64 28.9 80.8 84.4 3.60.6 15.07 25.6 76. 1 79.0 2.90.7 15.49 26.2 82.7 85.6 2.90.8 15.92 22.6 75.4 78.0 2.60.9 16.35 23.2 81.6 84.2 2.61.0 16.77 23.7 88.2 90.8 2.61. 1 17.20 19.8 77.6 79.5 1.91.2 17.62 20.2 83.5 85.4 1.91.3 18.05 20.7 89.7 91.7 1.91.4 18.47 16.4 74.4 76.0 1.6

A A -jr * A A £ A A A A A ?- AA A V V £ * * * # ^ * ^ *-" ^ £ fc AAAAAAAAAAAA&AAAA££*££*£££-£^~#^*£***"*"£*—* fc A AA A A 2;A A~ A -x AA A A A A A A *A A AiA A AA A A AA A A*A 5* ^-;Jf xct*-*^)(;*R^*^**^** AA**5?* A*:!;?*i>?S?;:AAA AAAAAA^AAJfeAAAAjuAAAAipA sjjsk * * A A AA A jf: A AAA A A A. ;p5£ A A A A A** A AA A * A A AA# A=£ A;JtAyA AA AA 3 A:

82


#$#>{-#

INCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 0.0 SYNDIMENSIONS: LENGTH IN INCHES

SPHEREINTERVAL

•%$:&%;$:

. 1

.2

.3

.4

.5

.6

.7

.8

.9

.0

.1

.2

.3

.4

HEXAGONDIAMETER

5.756.387.017.638.268.889.51

10.1310.7611.3912.0112.6413.2613.89

PRI SMHEIGHT

179.6146.0121.4102.387.175.965.758.451.647.342.333.534.231.4

CTIC FOAM S.G.= 0.54WEIGHT IN POUNDS

MODULE WEIGHT NETII SOLID GAIN

46.2 75.3 29.153.6 75.3 21.758.8 75.5 16.762.5 75.4 13.064.9 75.2 10.367.4 75.9 3.468.4 75.2 6.870.3 76.0 5.770.9 75.7 4.773.6 77.7 4.173.8 77.2 3.574.8 77.8 3.073.6 76.1 2.574.6 76.8 2.2

NCLUDED SPHERE DIAMETER = 2.00 INCHFSPHERE A.S.G. = 0.3 SYNTACTIC FOAM S.G.=IMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

% ric ^ £ $

.1

.2

.3

.4

. 5

.6

. 7

.8

.9

.0

. 1

.2

.3

.4

HEXAGONDIAMETER

10.8811.5112.1312.7613.3914.0114.6415.2615.8916.5117.1417.7718.3919.02

PRISMHEIGHT

50,.645,.341,.336,.834,.030,.829,.725,.924,.422,.620,.721 .419,.216 .8

MODULEII

41 .446.651.754.157.960.065.463.866.268.067.876.474.770.6

WEIGHTSOLID

75.976.077.175.977.276.780.676.577.978.177.085.682.377.2

NCLUDED SPHERE DUMETER = 3.00 INCHESPHERE A.S.G. = 3.0 SYNTACTIC FOAM S.G.=IMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

0.10. 20.30.40. 50.60.70.80.91.01.11.21.31.4

HEXAGONDIAMETER

lb. 0116.6417.2617.8918.5119.1419.7720. 3921.0221.6422.272 2.8923.5224.15

PRISMHEIGHT

25,,223. 221. . 118,,919.,517.17.,514.,715..215.,612.,512,,813.,213,,6

MODULEII

42.347.348.950.859.056.464.360.367.875.764.571.578.886.6

WEIGHTSOLID

81.781.579. 876.584.778.786.777.484.992.778.385.392.6100.4

0.540

NETGAIN

34.529.425.321.819.316.715.212.711.710.19.19.17.66.6

0.540

NETGAIN

39.434.230.925.625.622.322.317.117.117.113.813.813.813.8

83


INCLUDED SPHERE DIMETER = 4.00 INCHESSPHERE A.S.G. = 3.0 SYNTACTIC FOAM S.G.= 0.540DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHERE HEXAGON PRISM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT II SOLID GAIN

C.l 21.14 15.1 44.9 85.5 40.50.2 21.77 15.6 52.9 93.4 43.50.3 22.39 12.2 44.9 77.6 32.70.4 23.02 12.6 51.9 84.5 32.70.5 23.64 13.0 59.2 91.9 32.70.6 24.27 13.4 66.9 99.6 32.70.7 24.89 9.6 54.8 75.1 20.30.8 25.52 9.9 61.0 81.3 20.30.9 26.15 10.1 67.6 87.8 2.0.31.0 26.77 10.4 74.4 94.7 20.31.1 27.40 10.7 81.6 101.9 20.31.2 28.02 11.0 89.2 109.5 20.31.3 28.65 11.3 97.2 117.4 23.31.4 29.27 11.6 105.5 125.7 20.3

INCLUDED SPHERE DIAMETER = 1.33 INCHESSPHERE A.S.G. = 3.400 SYNTACTIC FOAM S.G.= 0.500DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 5.75 193.2 69.2 75.0 5.80.2 6.38 157.7 70.9 75.3 4.30.3 7.31 133.6 71.9 75.2 3.30.4 7.63 111.0 73.2 75.8 2.60.5 8.26 95.0 73.9 76.0 2.10.6 8.88 81.6 73.8 75.5 1.70.7 9.51 71.7 74.6 76.0 1.40.8 13.13 63.2 75.0 76.1 1.10.9 10.76 56.7 76.0 76.9 1.01.0 11.39 50.8 76.5 77.3 0.81.1 12.31 46.3 77.1 77.8 0.71.2 12.64 40.4 75.1 75.7 0.61.3 13.26 38.2 78.4 78.9 0.51.4 13.89 33.6 75.5 75.9 0.4

$ ;£ :£ ?« *INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 3.400 SYNTACTIC FOAM S.G.= 0.500DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


3.1 13.88 54.3 68.6 75.4 6.90.2 11.51 49.2 70.5 76.4 5.90.3 12.13 45.4 73.2 78.4 5.20.4 12.76 41.1 73.9 78.4 4.50.5 13.39 36.2 72.4 76.1 3.83.6 14.31 33.1 73.0 76.3 3.30.7 14.64 32.1 77.6 80.7 3.10.8 15.26 28.4 75.0 77.6 2.60.9 15.89 26.9 77.4 79.7 2.31.0 16.51 25.3 78.6 80.8 2.21.1 17.14 23.4 78.8 80.7 1.91.2 17.77 21.4 77.6 79.3 1.71.3 18.39 19.2 74.8 76.2 1.41.4 19.02 19.9 82.8 84.2 1.4

84


$C $ $C £#INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = J. 400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.500


0. 1 16. 010.2 16.640.3 17.260.4 17.890.5 18.510. 6 19.140.7 19.770.8 20.390.9 21. 021.0 21.641.1 22.271.2 22. 691.3 23.521.4 24.15

PRI SMHEIGHT

25.,223,,224,.121.,919,.520,.117.,518,.115.,215,,616.,112.,813,.213.,6

MODULEII

68.469.177.876.473.781 .876.184.075.482.790.576.483.290.4

WEIGHTSOLID

7575848278868088788593788593

.7

.5

.1

.1

.4

.6

.2

.1

.6

.9

.6

.9

.8

.0*'' >*J sf *" "

**

'


.G.=OUNDS


0. 1 21.140.2 21.770.3 22.390.4 23.020.5 23.640.6 2^.270. 7 24. 890.8 25.520.9 26.151.0 26.771.1 27.401.2 28.021.3 28. (j51.4 29.27

PRISMHEIGHT

15,.115..616..012,.613,.013,.413,.79,.9

10,.110,,410,.711,.011,.311 .6

MODULEII

71.679.086.872.279.086.93.71.77.83.90.97.605.0

112.7

WEIGHTSOLID

79.186.594.378.385.192.299.875.381.387.794.4101.4108.7116.4

-r ^ "-: "•-



0. 1 5.753.2 6.380.3 7.010.4 7.633.5 8.260.6 8.880. 7 9.510.8 10.130.9 10.761. 3 11.391.1 12.011.2 12.641.3 13.261.4 13.89

PRISMHEIGHT

179.6146.3121.4102.387.175.965.758.451.647.342.338.534.231.4

MODULEII

67.869.671.172.172.573.773.474.574.576.676.377.175.576.2

WEIGHTSOLID

75.375.375.575.475.275.975.276.075.777.777.277.876.176.8

NETGAIN

7.36.36.35.74.74.74.14.13.23.23.22.62.62.6

0.533

NETGAIN

7.57.57.56.16.16.16.13.83.83.83.83.83.83.8

0.540

NETGAIN

7.55.64.33.42.72.21.81.51.21.10.90.80.70.6

85

BUOYANCY MODULE: DATA

#*: *L ~JC

INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 3.^00 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540


0.1 10.88 50.6 66.9 75.9 8.90.2 11.51 45.3 68.3 76.0 7.60.3 12.13 41.3 70.5 77.1 6.60.4 12.76 36.8 70.3 75.9 5.70. 5 13.39 34.0 72.2 77.2 5.00.6 14.01 30.8 72.4 76.7 4.30. 7 14.64 29.7 76.7 80.6 3.90.8 15.26 25.9 73.2 76.5 3.30.9 15.89 24.4 74.8 77.9 3.01.0 16.51 22.6 75.5 78.1 2.61.1 17.14 20.7 74.6 77.0 2.41.2 17.77 21.4 83.2 85.6 2.41.3 18.39 19.2 80.4 82.3 2.01.4 19.02 16.8 75.5 77.2 1.7

% £ jjcrf- £INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 3.400 SYNTACTIC FOAM S.G.= 0.54DIMENSIONS: LEMiSTH IN INCHES; HEIGHT IN POUNDS


0. 1 16.01 25.2 71.5 81.7 10.20.2 16.64 23.2 72.6 81.5 8.90.3 17.26 21.1 71.8 79.8 8.00.4 17.89 18.9 69.8 76.5 6.60. 5 18.51 19.5 78.0 84.7 6.60.6 19.14 17.0 72.9 78.7 5.80.7 19.77 17.5 80.9 86.7 5.80.8 20.39 14.7 73.0 77.4 4.40.9 21.02 15.2 80.4 84.9 4.41.0 21.64 15.6 88.3 92.7 4.41.1 ZZ. 27 12.5 74.7 78.3 3.61.2 22.89 12.8 81.7 85.3 3.61.3 23,52 13.2 89.1 92.6 3.61.4

rZ. »fJ sbr Tiz y?

24.15 13.6 96.8 100.4 3.6


SPHERE HEXAGON PR I SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT II SOLID GAIN

0. 1 21.14 15.1 75.0 85.5 10.50.2 21.77 15.6 82.9 93.4 10.50.3 22.39 12.2 69.1 77.6 8.50.4 23.02 12.6 76.1 84.5 8.50.5 23.64 13.0 83.4 91.9 8.50.6 24.27 13.4 91.1 99.6 8.50.7 24.89 9.6 69.8 75.1 5.30.8 25.52 9.9 76.0 81.3 5.30.9 26.15 10.1 82.6 87.8 5.31.0 25.77 10.4 89.4 94.7 5.31.1 27.43 10.7 96.7 101.9 5.31.2 28.02 11.0 104.2 109.5 5.31.3 2 8.65 11.3 112.2 117.4 5.31.4 29.27 11.6 120.5 125.7 5.3

86


*****INCLUDED SPHERE DUMETER = 1.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.580


0.1 5.750.2 6.380.3 7.010.4 7.630.5 8.260.6 8.880.7 9.510. 8 10.130.9 10.761.0 11.391. 1 12. 011.2 12.641.3 13.261.4 13.89

PRI SMHEIGHT

166.,9136,.4113.,394,,881,.770.,261..155,,248,,343,.838,.634,,632,.129.,3

MODULEI I

66.168.870.571.172.672.873.175.474.575.974.674.276.176.2

WEIGHTSOLID

-.! V* w -*- «*-T t- *r- T '—

7575757575757577767775757676

.2

.5

.7

.1

.8

.4

.2

.2

.0

.2

.7

.1

.9

.9


NETGAIN

9.06.85.24.03.22.62.11.81.51.31.10.90.80.7

0.580


0. 1 10.880.2 11.510.3 12.130.4 12.760.5 13.390.6 14.010.7 14.640.8 15.260. 9 15.891.0 16.511.1 17.141.2 17.771.3 18.391.4

SL* "«V V- *.t«. *ir

19.02

PRI SMHEIGHT

46.,943..339,.334.,731,.828..527..325,.924.,422.,620,.718.,619..216,,8

MODULEII

64.868.870.670.171.671.274.977.979.880.579.677.285.980.7

WEIGHTSOLID

75.578.178.776.977.576.279.682.283.683.982.779.888.482.9



0. 1 16. 010.2 16.640.3 17.260.4 17.890.5 18.510.6 19.140. 7 19.770.8 20.390.9 21.021.0 21.641.1 22.271. 2 22.891. 3 23.521.4 24.15

PRISMHEIGHT

20.421.118.916.417.014.214.715.212.112.512.813.29.7

MODULEII

66.866.675.473.669.177.170.077.585.472.479.587.094.974.1

WEIGHTSOLID

78.276.985.782.176.584.575.783.291.177.084.191.699.576.9

NETGAIN

10.69.38.16.85.95.14.74.23.93.43.02.52.52.2

0.580

NETGAIN

11.410.310.38.57.47.45.75.75.74.64.64.64.62.8

87


*>!:*^;Jc


SPHEREINTERVAL

0.0.0,0.0,0,0,0,0.1.1,1,

1.

HEXAGONDIAMETER

21.1421.7722.3923.0223.6424.2724.8925.5226.1526.7727.4028.0228.6529.27

PRISMHEIGHT

15,.111,.812 .212,.613,.013 .49,.69,.9

10,.110,.410,.711,.011,.311,.6

MODULEI I

78.365.472.579.987.896.173.980.587.694.9102.7113.8119.4128.3

WEIGHTSOLID

9176839098

107808794

101109117126135

.3

.3

.8

.7

.0

.6

.3

.3

.7

.5

.6

.1

. 1:*s*

INCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 3.450 SYNTACTIC FDAM SDIMENSIONS: LENGTH IN INCHES; WEIGHT IN P

.G.=OUNDS

SPHEREINTERVAL

0.10.2.3.4

3.50.60.70.80.91.01. 1

1.21.31.4

>|;i^&A

HEXAGONDIAMETER

5.756.387.017.638.268.889.5110.1310.7611.3912.0112.6413.2613.89

PRISMHEIGHT

193.2157.7130.6111.095.081.671.763.256.750.846.040.438.233.6

MODULEII

72.173.173.574.574.974.775.375.676.576.977.575.478.675.7

WEIGHTSOLID

75.075.375.275.876.075.576.376.176.977.377.875.778.975.9



0.1 10.880.2 11.510.3 12. 130.4 12.760.5 13.390.6 14.010.7 14.640. 8 15.260.9 15.891.0 16.511. 1 17.141.2 17.771.3 18.391.4 19.02

PR I SMHEIGHT

54.349.245.441.136.233.132.128.426.925.323.421.419.219.9

MODULEII

72.073.475.876.274.274.779.176.378.579.779.878.475.583.5

WEIGHTSOLID

75.476.478.478.476.176.380.777.679.780.883.779.376.284.2

3.583

NETGAIN

13.510.910.913.910.910.96.86.86.86.86.86.86.86.8

3.500

NETGAIN

2.92.21.71.31.00.83.70.60.50.40.40.33.30.2

0.500

NETGAIN

3.43.02.62.31.91.61.61.31.21.13.90.80.70.7

88



0.500

SPHEREINTERVAL

HEXAGONDIAMETER

PR I SMHEIGHT

MODULEII

WEIGHTSOLID

NETGAIN

tAistt

0. 10.20.30.40.50.60.70.80.91

1.1.1

1.

1

234

16.0116.6417.2617.8918.5119.1419.7720.3921.0221.6422.2722.8923.5224.15

INCLUDEDSPHERE A,DIMENSIONS:

SPHERES.G

25.223.224.121.919.520.117.518.115.215.616.112.313.213.6

DIAMETER =

0.450

72.0 75.772.3 75.580.9 84.179.2 82.176.0 78.484.2 86.678.2 80.286.0 88.177.0 7 8.684.3 85.992.0 93.677.7 78.984.5 85.891.7 93.0



SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEI I

WEIGHTSOLID

3.73.23.22.92.42.42.12.11.61.61.61.31.31.3

0.500

NETGAIN

^t^T/c^:

0.10.20.30.40.50. 60.70.80.91.01.11.21.31.4

21.1421.7722.3923.0223.6424.2724. 8925.5226. 1526.7 727.4028.0223.6529.27

15.115.616.012.613.013.413.79.9

10.110.410.711.011.311.6

75.482.790.575.282.089.296.873.479.485.892.599.5106.9114.6

7986947885929975818794

101108116


.1

.5

.3

.3

. 1

.2

.8

.3

.3

.7

.4

.4

.7

.4

.G.=OUNDS

3.83.83.83.03.03.03.01.91.91.91.91.91.91.9

3.543


0. 1 5.750.2 6.330.3 7.010.4 7.630.5 8.260.6 8.880. 7 9.510.8 10.130.9 10.761.0 11.391.1 12.011.2 12.641. 3 13.261.4 13.89

PRISMHEIGHT

179.6146.0121.4102.387.175.965.758.451.647.342.338.534.231.4

MODULEII

70.571.772.773.373.574.574.175.074.977.076.777.375.776.5

WEIGHTSOLID

75.375.375.575.475.275.975.276.075.777.777.277.876.176.8

NETGAIN

4.93.62.82.21.71.41.10.90.80.70.63.50.40.4

89


#*£*:!:

INCLUDED SPHERE DIMETER = 2.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540

SPHEREINTERVAL

HEXAGONDIAMETER

PRISMHEIGHT

MODULEI I

WEIGHTSOLID

NETGAIN

J< x ^ g, a,*v* *r *i^ * * *"**

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

10.8811. 5112.1312.7613.3914.0114.6415.2615.3916.5117.1417.7718.3919.02

50.645.341.336.834.030.829.725.924.422.620.721.419.216.8

70.171.172.872.374.073.978.174.475.976.475.484.181.176.1

75.976.077.175.977.276.780.676.577.978.177.085.682.377.2


SPHEREINTERVAL

0. 1

0.20.30.40. 50.60.70. 80.91. 31. 11.21.31.4

& sic sic s*s sj;

HEXAGONDIAMETER

16.0116.6417.2617.8918.5119.1419.7720.3921.0221.6422.2722.8 923.5224.15

PRISMHEIGHT

25,,223,,221,,118..919, , 517.,017. , 514,,715,.215,.612,,512..813..213..6

MODULE WEIGHTII SOLID

75.2 81.775.8 81.574.7 79.872.2 76.58 3.4 84.775.0 78.782.9 86.774.6 77.482.0 84.989.9 92.776.0 78.383.0 85.390.3 92.698.1 100.4


5.74.94.23.63.22.82.52.11.91.71.51.51.31.1

0.540

NETGAIN

6.65.75.14.34.33.73.72.82.82.82.32.32.32.3

0.540

SPHERE HEXAGON PR I SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT I I SOLID GAIN

0. 1 21.14 15.1 78.7 85.5 6.80.2 21.77 15.6 86.6 93.4 6.80.3 22.39 12.2 72.2 77.6 5.40.4 23.02 12.6 79.1 84.5 5.40.5 23.64 13.0 86.4 91.9 5.40.6 24.27 13.4 94.2 99.6 5.40.7 24.89 9.6 71.7 75. 1 3.43. 8 25.52 9.9 77.9 81.3 3.40.9 26. 15 10.1 84.4 87.8 3.41.0 26.77 10.4 91.3 94.7 3.41. 1 2 7.43 10.7 98.5 101.9 3.41.2 28.02 11.0 106.1 109.5 3.41.3 28.65 11.3 114.1 117.4 3.41.4 29.27 11.6 122.4 125.7 3.4

90


^p */* ^^ *r* *p


0.580

SPHEREINTERVAL

.1

.2

.3

.4

.5

.6

.7

. 8

.9

.0

. 1

.2

.3

.4Jk^^sS;^

HEXAGONDIAMETER

5.756.387. 017.638.268.889.51

13.1310.7611.3912. 0112.6413.2613.89

PRI SMHEIGHT

166,,9136..4113,,394,.881,.770,,261,.155..248,,343,.838,,634,,632,.129,,3

MODULEII

68.770.771.972.273.573.573.775.974.976.374.974.576.376.4

WEIGHTSGLID

7575757575757577767775757676

.2

.5

.7

.1

.8

.4

.2

.2

.0

.2

.7

.1

.9

.9

INCLUDED SPHiSPHERE A.S.G,DIMENSIONS:

RE DIAMETER = 2.00 INCHES0.450 SYNTACTIC FOAM S.G.=


NETGAIN

6.54.93.72.92.31.91.51.31.10.90.80.70.60.5

0.580

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEII

WEIGHTSOLID

NETGAIN

SjcA ^t^:^:

3.10.20.30.40.50.60.70.80.91.01.11.21.31.4

10.8811.5112.1312.7613.3914.0114.6415.2615.8916.5117.1417.7718.3919.02

INCLUDED SPHERSPHERE A.S.G.DIMENSIONS:

46.943.339.334.731.828.527.325.924.422.620.718.619.216.8

DIAMETER =3.453

67.8 7571.4 7872.8 7872.0 7673.2 7772.6 7676.2 7979.1 8283.8 8381.4 8380.4 8277.9 7986.6 8881.3 82

3.00 INCHESSYNTACTIC FOAM S

LENGTH IN INCHES; WEIGHT IN P

.5

.1

.7

.9

.5

.2

.6

.2

.6

.9

.7

.8

.4

.9

OUNDS

7.76.75.94.94.33.73.43.02.82.42.21.81.81.6

3.583

SPHEREINTERVAL

HEXAGONDIAMETER

PRISMHEIGHT

MODULEI I

WEIGHTSOLID

NETGAIN

0. 1

0.20.33.40.50.60. 70.80.91.01.11.21. 31.4

16.0116.6417.2617.8918.5119.1419.7720.3921.0221.6422.2722.8923.5224.15

22.420.421.118.916.417.014.214.715.212.112.512.813.29.7

73.369.478.375.971.179.171.579.087.073.780.888,396.274.9

78.276.985.782.176.584.575.783.291.177.084.191.699.576.9

8.27.47.46.25.45.44.14.14.13.33.33.33.32.1

•91


$£$#*INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

0,0,0,0,0,0.0,0,0.1.

1.1.1.

^c £ s£ A :?:

HEXAGONDIAMETER

21.1421.7722.3923. 3223.6424.2724.8925.5226.1526.7727.4028.0228.6529.27

PRISMHEIGHT

15.111.812.212.613.013.49.69.9

10.110.410.711.311.311.6

MODULEII

82.368.575.582.990.99.75.82.89.96.104.6112.7121.2130. 2

WEIGHTSOLID

9176839 398107838794

101109117126135

.8

.3

.3

.6

.7

.0

.6

.3

.3

.7

.5

.6

.1

.1

INCLUDED SPHERE DUMETER = 1.00 INCHESSPHERE A.S.G. = 3.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

0. 1

0.20.30.40.50.60.70.80.91.31. 1

1.21.31.4

s^^jjj^y;

HEXAGONDIAMETER

5.756.387.017.638.268.889.51

10. 1310.7611.3912.0112.6413.2613.89

PRISMHEIGHT

193.2157.7130.6111.095.381.671.763.256.75 3.846.040.438.2

MODULEII

75.075.375.275.876.375.576.076.176.977.377.875.776.975.9

WEIGHTSOLID

75.075.375.275.876.075.576.076.176.977.377.875.778.975.9

INCLUDED SPHERE OUMETER = 2.03 INCHESSPHERE A.S.G. = 3.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 10.880.2 11.513.3 12. 130.4 12.760.5 13.390.6 14.010.7 14.640. 8 15.260.9 15.891.3 16.511. 1 17. 141.2 17.771.3 18.391.4 19.32

PRI SMHEIGHT

54,,349,.245..441.,136,.233.,132,.128,.426.,925,.323.,421.,419,.219..9

MODULEII

75.476.478.478.476.176.380.777.679.780.883797684

WEIGHTSOLID

75.476.478.478.476.176.380.777.679.780.883.779.376.284.2

3.583

NETGAIN

9.87.97.97.97.97.94.94.94.94.94.94.94.94.9

0.500

NETGAIN

0.03.30.00.00.00.03.30.00.03.30.00.03.30.0

0.500

NETGAIN

0.00.00.00.03.00.00.03.30.00.03.00.00.00.0

92


#££:£:#

INCLUDED SPHERE DIAMETER = 3. 03 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.500

SPHEREINTERVAL

*****

0,0,0,0,0.0,0,0.0,1.1.

1,1,1,

I

SD

1

23456789

1

234

HEXAGONDIAMETER

16.0116.6417.2617.8918.5119. 1419.7720.3921.0221.6422.2722.8923.5224. 15

PR I SMHEIGHT

25,,223,.224.,121. 919..520,,117..518,.115.,215,.616..112..813,.213..6

MODULE WEIGHTI I SOLID

75.7 75.775.5 75.584.1 84.182.1 82.178.4 78.486.6 86.680.2 80.288.1 88.178.6 78.685.9 85.993.6 93.678.9 78.985.8 85.893.0 93.0


SPHEREINTERVAL

:*£*

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

HEXAGONDIAMETER

21.1421.7722.3923. 0223.6424.2724.8925.5226.1526.7727. 4C28.0228.6529.27

PRI SMHEIGHT

15.,115..616,.012..613,.013,.413,.79 .9

10.,110..410,.711,.011..311,.6

CLUDED SPHERE DIAMETER = 1.00HERE A.S.G. = 3.500 SYNT,MENSIOMS: LENGTH IN INCHES;

SPHEREINTERVAL

0. 1

0.20.30.40.5C.60. 7C.80.91.01.11.21.31.4

HEXAGONDIAMETER

5.756.387.017.638.268.889.5110.131C.7611.3912.0112.6413.2613.89

PRISMHEIGHT

179.6146.0121.4102.387.175.965.758.451.647.342.338.534.231.4

NETGAIN

0.,00.,00.0,,0J,,00..00,,00,,00.,00.,03..00.,00..00..0

0.500

MODULE WEIGHT NETII SOLID GAIN

79.1 79.1 0.086. 5 86.5 0.094.3 94.3 0.078.3 78.3 0.085.1 85.1 0.092.2 92.2 0.099.8 99.8 0.075.3 75.3 0.081.3 81.3 0.087.7 87.7 0.094.4 94.4 0.0101.4 101.4 0.0108.7 108.7 0.0116.4 116.4 0.0

INCHESCTIC FOAM S.G.= J. 54WEIGHT IN POUNDS

MODULE WEIGHT NETI I SOLID GAIN

73.1 75.3 2.273.7 75.3 1.674.2 75.5 1.274.5 75.4 1.074.4 75.2 0.875.2 75.9 0.674.7 75.2 0.575.6 76.0 0.475.3 75.7 0.477.4 77.7 0.377.0 77.2 0.377.6 77.8 0.275.9 76.1 0.276.7 76.8 0.2

93


:Jc # 5j< 5fc sf-.

INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.&. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

ou J- J- vi ou^* ^i* *^ •)» >*

.1

.2

.3

.4

.5

.6

.7

.8

.9

.0

.1• 2.3.4

HEXAGONDIAMETER

10.8811.5112.1312.7613.3914.0114.6415.2615.8916.5117.1417.7718. 3919.02

PRISMHEIGHT

50,,645, 341,.336,.834..030..829.,725,.924,.422,.620,.721,.419.,216,.8


73.3 75.973.8 76.075.2 77.174.3 75.975.8 77.275.5 76.779.5 80.675.6 76.577.0 77.977.3 78.176.3 77.084.9 85.681.8 82.376.7 77.2

NCLUCED SPHERE DIAMETER = 3.00 INCHESPHERE A.S.G. = 3.500 SYNTACTIC FOAM S.G.=IMENSIO.MS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

HEXAGONDIAMETER

PRISMHEIGHT

MODULEII

WEIGHTSOLID

0.540

NETGAIN

2.62.21.91.61.41.21.10.93.90.80.73.70.60.5

0.540

NETGAIN

£$5fc*$

0.10.20.30.40.50.60.70.80.91.01. 1

1.21.31.4

16.0116.6417.2617.8918.5119.1419.7720.3921.0221.6422.2722.3923.5 224.15


25.223.221.118.919.517.017.514.715.215.612.512.813.213.6

DIAMETER =3.500

78.8 8179.3 8177.5 7974.6 7682.8 8477.0 788 5.0 8676.2 7783.6 8491.5 9277.3 7884.2 8591.6 9299.4 100

4.03 INCHES

.7

.5

.8

.5

.7

.7

.7

.4

.9

.7

.3

.3

.6

.4

DIMENSIONS:SYNTACTIC FOAM S

LENGTH IN INCHES; WEIGHT IN P.G.=OUNDS

SPHEREINTERVAL

0. 1

0.20.30.40.50.60.70.80.91.01.11.21.31.4

HEXAGONDIAMETER

21.1421.7722.3923.0223.6424.2724.8925.5226. 1526.7727.4328.0228.6529.27

PRI SMHEIGHT

15.115.612.212. 613.013.49.69.9

10.110.413.711.011.311.6

MODULEII

82.590.475.282.189.497.273.679.886.393.2133.4108.0115.9124.2

WEIGHTSOLID

5465o

85.937784.9199.675.181.387.894.7

131.9109.5117.4125.7

2.92.52.31.91.91.71.71.31.31.31.01.01.01.0

0.540

NETGAIN

3.03.02.42.42.42.41.51.51.51.51.51.51.51.5

94


^^.^ir. £INCLUDED SPHERE DIAMETER = 1.33 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 5.750.2 6.380.3 7.010.4 7.630.5 8.260.6 8.880.7 9.510. 8 10.130.9 10.761.0 11.391.1 12. 011.2 12.641.3 13.261*4 13.89

Jy O- «.'- »J> O.-»,\ ^»> *-|fc •¥* #J-

PRISMHEIGHT

166.,9136..4113.,394,,881..770.,261,.155..248,,343,.838.,634,,632,,129,.3

MODULEII

71.272.573.473.474.474.374.376.475.37675,747676,

WEIGHTSOLID

75.275.575.775.175.875.475.277.276.077.275.775.176.976.9

INCLUDED SPHERE DIAMETER = 2. 00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS



0.1 10.880.2 11.510.3 12.130.4 12.760.5 13.390.6 14.010.7 14.640.8 15.260.9 15.891.0 16.511.1 17.141.2 17.771.3 18.391.4 19.02

PR I SMHEIGHT

46.,943..339,.334,,731,.828,.527, 325,.924,,422,.620,.718.,619,.216,.8

70.874.075.173.974.974.077.580.381.982.481.378.687.381.9

75.578.178.776.977.576.279.682.283.683.982.779.888.482.9



0.1 16.010.2 16. 640.3 17.260.4 17.890.5 18.510.6 19.140. 7 19.77C.8 20.390.9 21.021. 21.641.1 22.271.2 22.891. 3 23.521.4 24.15

PRISMHEIGHT

22,.420..421,.118,.916.,417,.014,,214.,715,,212.,112,.512,.813,,29 .7

MODULEI I

73.272.381.178.373.281.273.180.688.675.082.189.597.475.7

WEIGHTSOLID

78.276.985.782.176.584.575.783.291.177.084.191.699.576.9

0.580

NETGAIN

4.03.02.31.81.41.20.90.80.70.60.50.40.40.3

0.580

NETGAIN

4.74.13.63.02.62.32.11.91.71.51.41.11.11.0

J. 5 80

NETGAIN

5.14.64.63.83.33.32.52.52.52.02.02.02.01.3

95


- ' *.'. -.'^ «jU .J


0.530


0. 1 21.14 15.1 85.8 91.8 6.00. 2 21.77 11.8 71.5 76.3 4.80.3 22.39 12.2 78.5 83.3 4.80.4 23.02 12.6 86.0 90.8 4.80. 5 23.64 13.0 93.8 98.7 4.80.6 24.27 13.4 102.1 107.0 4.80. 7 24. 89 9.6 77.6 80.6 3.00.8 25.52 9.9 84.3 87.3 3.00.9 26.15 10.1 91.3 94.3 3.01. D 26.77 10.4 98.7 101.7 3.01.1 27.40 10.7 106.5 109.5 3.01. 2 28.02 11 .0 114.6 117.6 3.01.3 28.65 11.3 123.1 126.1 3.01.4 29.27 11.6 132.1 135.1 3.0

^t^;*^s^ A *z±iz-%*?;?k~~il. AA#AA*r;;?:ri.:fe?<y;£*£ *: *:£z A A* £ A A. 5jt>? » A A A A s?.-* s!: A A ;?:£ # rs A ^X* V * * A - ~ * A St V* * >." €

: t* *r -r */- 'fi f -* *r- n - - -iljit^siit^iSKS^.s:; :v**** J~*: :ii:^V''T****~?~^*>'"-'!:V'!; **^"^~ft*Ts:-*~^ :

96


a &.%% *INCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 0.0 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540


0.1 3.550.2 3.980.3 4.410.4 4.830.5 5.260.6 5.680.7 6.110.8 6.530.9 6.961.0 7.391. 1 7.811.2 8.241.3 8.661.4 9.09

PR I SMHEIGHT

469,,0374..6305.,7254, , 8214,,6183,.7159,.0139,.8122,,3109..398,.189..279,.071,,8

MODULEII I

50.557.261.664.966.968.669.871.271.472.473.274.473.273.5

^C^i ^lA^C

WEIGHTSOLID

75.075.275.275.375.175.175.275.675.175.575.876.675.175.2



0.1 6.680.2 7.110.3 7.530.4 7.960.5 8.390.6 8.810.7 9.240.8 9.6 63.9 10.091.0 10.511.1 10.941.2 11.371.3 11.791.4 12.22

PRI SMHEIGHT

134.3117.4104.594.285.076,970.465.66 0.354.550.946.942.640.9

MODULE WEIGHTIII SOLID

46.650.654.557.760.262.364.467.068.568.269.870.369.372.3

76.075.175.175.675.775.676.177.677.876.377.276.875.077.4

y* w «JU «JU o>



0.1 9.810. 2 10.240.3 10.660.4 11.090.5 11.510.6 11.940. 7 12.370.8 12.790.9 13.221.0 13.641.1 14.071.2 14.491.3 14.921.4 15.35

PRISMHEIGHT

63.657.353.34 9.047.442.540.538.335.933.430.631 .428.525.3


46.448.552.054.259.559.361.864.765.766.865.872.771.167.2

77.676.076.876.379.76.78.79.79.478.676.883.780.275.4

NETGAIN

24.518.013.510.48.26.65.34.43.73.12.72.31.91.7

0.540

NETGAIN

29.424.520.718.015.513.311.710.69.28.27.46.55.75.1

0.54

NETGAIN

31.227.624.822.120.117.416.514.613.811.9111198.3

97


Sj; J;5{t^e4c


SPHEREINTERVAL

•%;J: * s{t #

.1

.2

.3

.4

. 5

.6

.7

.8

.9

.0

.1

.2

.3

.4

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2017.6218.0518.47

PRISMHEIGHT

36.934.231.332.128.929.726.226.923.223.724.320.220.721.2

MODULEIII

45.649.249.256.057.063.760.166.663.469.575.966.572.378.4

WEIGHTSOLID

7877758278857986788490798591

.2

.3

.3

.2

.5

.3

.7

.2

.4

.5

.9

.5

.4

.4


.G.=OUNDS

SPHEREINTERVAL

HEXAGONDIAMETER

PRISMHEIGHT

MODULEII I

WEIGHTSOLID

% ^ Air

:

0.1 3.550.2 3.980.3 4.410.4 4.830.5 5.260.6 5.680.7 6.110.8 6.530.9 6.961.0 7.391.1 7.811.2 8.241.3 8.661.4 9.09

INCLUDED SPHERESPHEPE A.S.G. =DIMENSIONS:

507.0404.3329.8274.7231.9199.2172.6150.9132.4118.2105.595.087.178.2

DIAMETER =0.400

70.2 75.171.5 75.172.4 75.173.1 75.273.5 75.274.1 75.574.5 75.574.7 75.674.5 75.275.0 75.675.0 75.575.2 75.676.3 76.775.4 75.8

2.00 INCHESSYNTACTIC FOAM S. G.=


SPHEREINTERVAL

0.10.20.30.40.50.60.70. 80.91.01. 1

1.21.31.4

HEXAGONDIAMETER

6.687.117.537.968.398.819.249.66

10. 0910.5110.9411.3711.7912.22

PR I SMHEIGHT

143.6127.1114.7102.791.683.875.270.662.959.853.649.848.544.0

MODULEIII

69.47C.572.172.772.573.672.975.273.375.973.974.177.875.9

WEIGHTSOLID

75.275.476.376.375.576.375.277.375.177.675.375.479.

C

77.0

0.540

NETGAIN

32.728.126.126.121.621.619.619.615.015.015.013.113.113.1

0.500

NETGAIN

4.93.62.72.11.61.31.10.90.70.60.50.50.40.3

0.500

NETGAIN

5.84.94.23.63.12.72.32.11.81.71.41.31.21.1

98


:**#£INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.500


0. 1 9.810.2 10.240. 3 10.660.4 11.090.5 11.510.6 11.940.7 12.370. 8 12.790.9 13.221.0 13.641. 1 14. 071.2 14.491.3 14.921.4

$ 5't 3 c it

15.35

PR I SMHEIGHT

69,,162..959,.255.,050..545,,743,.741,.639..436,.934.,331.,432,29..2

MODULE WEIGHTII I SOLID

71.8 78.071.7 77.473.8 78.974.7 79.374.5 78.572.8 76.475.2 78.476.8 79.977.9 80.678.0 80. 577.3 79.575.4 77.582.2 84.278.9 80.6


NETGAIN

6.35.65.14.64.13.63.23.12.72.62.22.02.01.7

0.500

a^

SPHERE HEXAGON PRISM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT II I SOLID GAIN

0. 1 12.94 40.5 73.2 79.6 6.40.2 13.37 37.9 73.3 79.4 6.10.3 13.79 35.1 73.0 78.3 5.20.4 14.22 32.1 71.2 76.1 4.80.5 14.64 32.9 77.9 82.8 4.80. 6 15.07 29.7 75.0 79.0 4.00.7 15.49 30.4 81.6 85.6 4.00.8 15.92 26.9 76.2 79.9 3.60.9 16.35 27.5 82.6 86.2 3.61.0 16.77 23.7 75.5 78.3 2.81. 1 17.20 24.3 81.4 84.2 2.81.2 17.62 24.8 87.7 90.4 2.81.3 18.05 2 0.7 76.6 79.0 2.41.4 18.47 21.2 82.3 84.7 2.4

INCLUDED SPHERE DIAMETER = 1.00 INCHESS D HERE A.S.G. = 0.4 00 SYNTACTIC FOAM S.G.= 0.54DIMENSIONS: LE NGTH IN INCHES; WEIGHT IN POUNDS

SPHERE HEXAGON PRISM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT III SOLID GAIN

0. 1 3.55 469.0 68.7 75.0 6.40.2 3.98 374.6 70.5 75.2 4.70.3 4.41 305.7 71.6 75.2 3.50.4 4.83 254.8 72.6 75.3 2.70.5 5.26 214.6 73.0 75.1 2.10.6 5.68 183.7 73.4 75.1 1.70.7 6.11 159.0 73.8 75.2 1.40.8 6.53 139.8 74.4 75.6 1.10.9 6.96 122.3 74.1 75.1 1.01. 7.39 109.3 74.7 75.5 0.81.1 7.81 98.1 75.1 75.8 0.71. 2 8.24 89.2 76.0 76.6 0.61. 3 8.66 79.0 74.6 75.1 0.51.4 9.09 71.8 74.7 75.2 0.4

99


#£:$:##INCLUDED SPHEP.E DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

3.540

SPHEREINTERVAL

HEXAGONDIAMETER

PRISMHEIGHT

MODULEII I

WEIGHTSOLID

NETGAIN

£ $ & %: $

0.10.20.30.40.50.60. 70.80.91.01.11.21.31.4

6.687.117.537.968.398.819.249.6610.0910.5110.9411.3711.7912.22


134.3117.4104.594.285.076.970.

4

65.660.354.550.946.942.640.9

DIAMETER =.400

68.368.869.871.071.672.273.074.975.474.275.275.173.676.1

7675757575757677777677767577

.0

.1

. 1

.6

.7

.6

.1

.6

.2

.8

.0

.4


DIMENSIONS:G.=


7.66.45.44.74.03.53.02.82.42.11.91.71.51.3

0.540

SPHEREINTERVAL

HEXAGONDIAMETER

pp t SMHE I GHT

MODULEIII

WEIGHTSOLID

NETGAIN

x- J- jJ- J- ^u

0.10.20.30.40. 50.60.70. 80.91.1. 11.21.31.4

9.8110.2410.6611.0911.5111.9412.3712.7913.2213.6414.0714.4914.9215.35

63.657.353.349.047.442.540.538.335.933.430.631 .428.525.3

69.568.970.370.674.472.274.175.575.975.673.980.877.973.3

77.676.076. 876.379.676.778.479.379.478.676. 883.780.275.4


8.17.16.45.75.24.54.33.83.63.12.92.92.42.1

0.540

SPHERE HEXAGON PR I SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT III SOLID GAIN

0. 1 12.94 36.9 69.8 78.2 8.50.2 13.37 34.2 70.0 77.3 7.30.3 13.79 31.3 68.6 75.3 6.80.4 14.22 32.1 75.4 82.2 6.80.5 14.64 28.9 73.0 78.5 5.60.6 15.07 29.7 79.7 85.3 5.60.7 15.49 26.2 74.7 79.7 5.10. 8 15.92 26.9 81 .2 86.2 5.10.9 16.35 23.2 74.5 78.4 3.91.0 16.77 23.7 80.6 84.5 3.91.1 17.20 24.3 87.0 90.9 3.91.2 17.62 20.2 76.2 79.5 3.41.3 18.05 20.7 82.0 85.4 3.41.4 18.47 21.2 88.1 91.4 3.4

100


£ # ^c :(; ik


0.580

SPHEREINTERVAL

:*^c^c5j«

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

HEXAGONDIAMETER

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09

PRI SMHEIGHT

436.,8349,.0284,,9236,,2200,.0170.,9148,.513 0,.2113.,9102,.290,.681..474,.967..6


67.4 75.169.6 75.271.0 75.271.8 75.72.7 75.273.0 75.173.7 75.474.2 75.673.9 75.174.9 75.974.4 75.374.4 75.175.9 76.575.4 76.0


NETGAIN

7.,65..64,.23,,22,,62,.01.,71,.41, 11,0,.80,.70,,60,.5

SPHERE HEXAGON PRISM MODULE WEIGHTINTERVAL DIAMETER HEIGHT III SOLID

0.580

NETGAIN

^c* :&;£A

0.10.20.30.40.0.0.0.D.1.1.1.1.31.4

6.687.117.537.968.398.819.249.6610.0910.5110.9411.3711.7912.22

125.0109.698.487.980.572.365.660.755.251.848.144.139.737.9

66.967.769.470.272.172.272.573.73.75.76.75.73.

INCLUDED SPhERE DIAMETERSPHERE A.S.G. = 0.430

75.4

3.00 INCHES

7575767577767677767878777577

.9

.4

.0

.7

.0

.4

.1

.1

.4

.0

.4

.5

.1

.0

DIMENSIONS:SYNTACTIC FCAM S.G.=



0.1 9.810. 2 10. 240.3 10.660.4 11.090. 5 11.510.6 11.940.7 12.370.8 12.790.9 13.221.0 13.641.1 14.071.2 14.491.3 14.921.4 15.35

PRISMHEIGHT

58.154.450.446.044.339.337.234.932.429.830.627.728.525.3

MODULEIII

66.769.170.370.273.570.772.573.173.271.878.876.283.278.3

WEIGHTSOLID

76.177.677.976.979.976.277.477.777.175.582. 579.286.281.0

9.17.66.55.54.94.23.63.32.82.52.32.01.71.6

0.580

NETGAIN

9.58.57.66.76.45.54.94.64.03.73.73.03.02.8

101


*##*#INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = C.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.580

SPHEREINTERVAL

££:{:**

0.0,3.

0,0,0,

o.0,1.

1

1.1.

1

I

s

D

1

234567893

1

234

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2017.6218.0518.47

PRISMHEIGHT

33,.334,,231,.328. 228,,925,.626,.222..623..223.,719,.82D,.220,,716 .4

MODULEII I

66.473.7

WEIGHTSOLID

7270777279.1

798575818773.2

7583807784798578849079859176

.8

.0

.9

.5

.4

.0

.6

.0

.2

.8

.5

.4

.7

.0


SPHEREINTERVAL

HEXAGONDIAMETER

PR I SMHEIGHT

MODULEIII

WEIGHTSOLID

NETGAIN

9.49.48.77.27.26.56.55.05.05.04.44.44.42.8

0.500

NETGAIN

O JL- *A* ^t* aJU.

+f* *p 3y» *.. A.

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09

507.0404.3329.8274.7231.9199.2172.6150.9132.4118.2105.595.087.178.2

72.773.373.774.274.474.875.075.174.975.375.375.476.575.6

75.175.175.175.275.275.575.575.675.275.675.575.676.775.8


2.51.81.41.00.80.70.50.40.40.30.30.20.20.2

0.500

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEIII

WEIGHTSOLID

NETGAIN

0.10.20.30.40.50.60.70. 30.91.01. 1

234

6811539639

8.819.249.6610.0910.5110.9411.3711.7912. 22

143.6127.1114.7102.791.683.875.270.662.959.853.649.848.544.0

72.372.974.274.574.075.074.176.274.276.774.674.878.476.4

75.275.476.376.375.576.375.277.375.177.675.375.479.077.0

2.92.42.11.81.51.41.21.10.90.80.70.60.60.5

102


j£ :£* y- *INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 9.810.2 10.240.3 10.660.4 11.090.5 11.510.6 11.940.7 12.370. 8 12.790.9 13.221.0 13.641. 1 14. 071.2 14.491.3 14.921.4 15.35

*:£:$£ :fc jfc

INCLUDED SPHERE DIAMETER =SPHERE A.S.G. = 0.450DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 12.940.2 13.370.3 13.790.4 14.220.5 14.640. 6 15.070.7 15.490.8 15.920.9 16.351.0 16.771. 1 17.201.2 17.621.3 18.051.4 18.47


-c^j:**:

PRI SMHEIGHT

40.537.935.132.132.929.730.426.927. 523.724.324.820.721.2


76.4 79.676.4 79.475.6 78.373.6 76. 1

80.3 82.877.0 79.083.6 85.673.0 79.984.4 86.276.9 78.382.8 84.289.0 90.477.8 79.083.5 84.7

0.500

PRISM MODULE WEIGHT NETHEIGHT III SOLID GAIN

69.1 74.9 78.0 3.162.9 74.6 77.4 2.859.2 76.3 78.9 2.655.0 77.0 79.3 2.350.5 76.5 78.5 2.045.7 74.6 76.4 1.843.7 76.8 78.4 1.641.6 78.4 79.9 1.539.4 79.3 80.6 1.436.9 79.3 80.5 1.334.3 78.4 79.5 1.131.4 76.5 77.5 1.032.3 83.2 84.2 1.029.2 79.8 80.6 0.8

4.00 INCHESSYNTACTIC FOAM S.G.= 0.500

NETGAIN

3.23.02.62.42.42.02.01.81.81.41.41.41.21.2

0.54

SPHERE HEXAGON PRISM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT II I SOLID GAIN

0. 1 3.55 469.0 71 .0 75.0 4.10.2 3.98 374.6 72.2 75.2 3.00.3 4.41 305.7 72.9 75.2 2.30.4 4.83 254.8 73.6 75.3 1.70.5 5.26 214.6 73.8 75. 1 1.40.6 5.63 183.7 74.0 75.1 1.10.7 6. 11 159.0 74.3 75.2 0.90.8 6.53 139.8 74.8 75.6 0.70.9 6.96 122.3 74.4 75.1 J.

6

1.0 7.39 109.3 75.0 75.5 0.51.1 7.81 98.1 75.4 75.8 0.41. 2 8.24 89.2 76.3 76.6 0.41.3 8.66 79.0 74.8 75.1 0.31.4 9.09 71.8 74.9 75.2 0.3

.103


#$*£#INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

i^in &'# A

.1

.2

.3

.4

.5

.6

.7

.8

.9

.0

.1

.2

. 3

.4

HEXAGONDIAMETER

6.687. 117.537.968.393.819.249.6610.0910.5110.9411.3711.7912.22

PRISMHEIGHT

134,,3117.,4104.,594.,285,,076..970,,465.,660, qi _*

54.,550..946,.942..640,.9

MODULEII 1

71.171.1

WEIGHTSOLID

71727373.474.175.876.275.075.975.774.176.6

7675757575757677777677767577

.0

. 4

. 1

.6

.7

.6

.1

.6

.8

.3

.2

.8

.0

.4


.G.=OUNDS

SPHEREINTERVAL

0.10.20.30.40. 50.60.70.80.91.1.11.1

j£ *-. >'; £ £

1234

HEXAGONDIAMETER

9.8110.2410.6611.0911.5111.9412.3712.7913.2213.6414.0714.4914.9215.35

PRISMHEIGHT

63.657.353.349.047.442.540.538.335.933.430.631.428.525.3

MODULEII 1

72.471.472.672.676.373.875.676.977.1

WEIGHTSOLID

76.74.81.78.74.

7776767679767879797876838075

.6

.0

.8

.3

.6

.7

.4

.3

.4

.6

.8

.7

.2

.4

INCLUDEDSPHERE ADIMENSIONS:

SPHERES.G

DIAMETER0.450

= 4. JO INCHESSYNTACTIC FOAM S.G.=


SPHEREINTERVAL

0.10.20.30.40.50.60.70. 80.91.01. 1

1.21.31.4

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2317.6218.0518.47

PRI SMHEIGHT

36.934.231.332.128.929.726.226.923.223.724.320.220.721.2

MODULEII I

72.872.671.077.875.081.776.583.075.982.088.477.483.289.3

WEIGHTSOLID

78.277.375.382.278.585.379.786.278.484.590.979.585.491.4

0.540

NETGAIN

4.94.13.43.02.62.21.91.81.51.41.21.11.00.9

0.540

NETGAIN

5.24.64.13.73.42.92.82.42.32.01.81.81.51.4

0.540

NETGAIN

5.44.74.44.43.63.63.33.32.52.52.52.22.22.2

104


3{C A i|CA £INCLUDED SPHERE DIAMETER = 1.33 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

:**

.1

.2

.3

.4

.5

.6

.7

. 8

.9

.0

. 1

.2

.3

.4

HEXAGONDIAMETER

3.553.934.414.835.265.686.116.536.967.397.818.248.669.39

PRISMHEIGHT

436.8349.0284.9236.2200.0170.9148.5133.2113.9102.293.681.474.967.6

MODULEIII

69.671.272.272.773.473.674.274.674.275.274.774.676.175.6

WEIGHTSOLID

7575757575757575757575757676

.1

.2

.2

.0

.2

.1

.4

.6

.1

.9

.3

. 1

.5

.0

NCLUDED.PHERE A,

I

SDIMENSIONS

SPHERES . *j . —

DIAMETER = 2.00 INCHES0.450 SYNTACTIC FOAM S

LENGTH IN INCHES; WEIGHT IN P.G.=OUNDS

SPHEREINTERVAL

0.10.20.30.40.53. 60.70.80. 91.01.11.21.31.4

sksk^c^s^

HEXAGONDIAMETER

6.687.117.537.968.398.819.249.66

1 J. 3910.5110.9411.3711.7912.22

PRI SMHEIGHT

MODULEII I

WEIGHTSOLID

125.0109.698.487.980.572.365.660.755.251.848.144.139.737.9

INCLUDED SPHERE DIAMETER =SPHERE A.S.G. = 3.453

69.4 75.969.8 75.471.3 76.371.7 75.773.5 77.073.4 76.473.5 76.174.7 77.174.4 76.476.1 78.076.8 78.476.1 77.573.8 75.175.9 77.3

3.00 INCHES

DIMENSIONS:SYNTACTIC FCAM S.G.=



0.1 9.810.2 10.240.3 10.660.4 11.390.5 11.510.6 11 .940. 7 12.370.8 12.790.9 13.221.0 13.641.1 14.071.2 14.491.3 14.921.4 15.35

PRISMHEIGHT

58.,154.,450..446.,344,,339..337.,234.,932..429.,830..627.,728. , 525..3

MODULEII I

69 .371.472.472.175.372.273.874.474.372.879.877.184.079.0

WEIGHTSOLID

76.177.677.976.979.976.277.477.777.17582,7986,81.0

0.580

NETGAIN

5.54.03.02.31.81.51.21.30.80.70.60.50.40.4

0.580

NETGAIN

6.55.54.74.03.53.32.62.42.01.81.61.41.21.2

J . 5 8 3

NETGAIN

6.86.25.54.84.64.03.53.32.92.72.72.22.22.0

105


*****INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.= 3.583DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 12.94 33.3 69.0 75.8 6.80.2 13.37 34.2 76.3 83.0 6.80.3 13.79 31.3 74.6 80.9 6.33.4 14.22 28.2 72.3 77.5 5.20.5 14.64 28.9 79.2 84.4 5.20.6 15.07 25.6 74.3 79.0 4.70.7 15.49 26.2 80.9 85.6 4.70.8 15.92 22.6 74.3 78.0 3.60.9 16.35 23.2 80.6 84.2 3.61.3 16.77 23.7 87.2 90.8 3.61.1 17.20 19.8 76.3 79.5 3.11.2 17.62 23.2 82.3 85.4 3.11.3 18.05 20.7 88.5 91.7 3.11.4 18.47 16.4 74.0 76.0 2.0

sSt sE$ sk sSc sfic


SPHERE HEXAGON PRISM MODULE WEIGHTINTERVAL DIAMETER HEIGHT III SOLID

0.1 3.55 507.0 75.1 75.10.2 3.98 434.3 75.1 75.10.3 4.41 329.8 75.1 75.10.4 4.83 274.7 75.2 75.23.5 5.26 231.9 75.2 75.20.6 5.68 199.2 75.5 75.50.7 6.11 172.6 75.5 75.50.8 6.53 150.9 75.6 75.60.9 6.96 132.4 75.2 75.21.3 7.39 118.2 75.6 75.61.1 7.8i 105.5 75.5 75.51.2 8.24 95.0 75.6 75.61.3 8.66 87.1 76.7 76.71.4 9.09 78.2 75.8 75.8



0.1 6.68 143.6 75.2 75.2 0.00.2 7.11 127.1 75.4 75.4 0.00.3 7.53 114.7 76.3 76.3 0.00.4 7.96 102.7 76.3 76.3 0.00.5 8.39 91.6 75.5 75.5 0.00.6 8.81 83.8 76.3 76.3 0.00.7 9.24 75.2 75.2 75.2 0.03.8 9.66 73.6 77.3 77.3 0.00.9 10.09 62.9 75.1 75.1 0.01.0 10.51 59.8 77.6 77.6 0.01.1 13.94 53.6 75.3 75.3 0.01.2 11.37 49.8 75.4 75.4 0.01.3 11.79 48.5 79.0 79.3 3.31.4 12.22 44.0 77.0 77.0 0.0

NETGAIN

0,,03.,00.,00.,00,.00,,03.,3?.,00.,03.,00.,00,,00,.00.,0

106


sjt sfcjfcijj Jjc


0.500

SPHEREINTERVAL

HEXAGONDIAMETER

PR I SMHEIGHT

MODULEII 1

WEIGHTSOLID

NETGAIN

^^^.^A:

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

9.8110.2410.6611.0911.5111.9412.3712.7913.2213.6414.0714.491^.9215.35

INCLUDEDSPHERE A,

SPHERES . o

69.162.959.255.050.545.743.741 .639.436.934.331.432.329.2

DIAMETER =

0.500

78.77.78.79.78.76.78.79.80.80.79.77.84.80.6

4.00 INCHES

7877787978767879808079778480

.0

.4

.9

.3

.5

.4

.4

.9

.6

.5

.5

.5

.2

.6

DIMENSIONS:SYNTACTIC FOAM S.G.=

LENGTH I N INCHES; WEIGHT IN POUNDS

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEIII

WEIGHTSOLID

0.00.00.00.00.00.00.03.00.00.00.00.00.00.0

0.500

NETGAIN

&%%.?;.*:

. 1

.2

.3

.4

.5

.6

.7

.8

.9

.0

.1

.2

.3

.4

12.9413.3713.7914.2214.6415.0715.4915.9216.3516.7717.2017.6218.0518.47

40.537.935.132.132.929.730.426.927. 523.724.324.820.721.2

79.679.478.376.182.879 .085.679.986.276.384.290.479.084.7

7979787682798579867884907984


.6

.4

.3

.1

.8

.0

.6

.9

.2

.3

.2

.4

.0

.7

.G.=OUNDS

SPHEREINTERVAL

0. 1

0.20.30.40.50.60.70.80.91.01.11.21.31.4

HEXAGONDIAMETER

3.553.984.414.835.265.686.116.536.967.397.818.248.669.09

PRISMHEIGHT

46 9,.0374,.6305,.7254..8214..6183,.7159.,0139,,8122..3109..398,.189,.279..071,.8

MODULEIII

73.273.874.274.674.574.674.875.374.875.375.676.574.975.0

WEIGHTSOLID

75.075.275.275.375.175.175.275.675.175.575.876.675.175.2

0.00.00.00.00.00.00.00.00.00.0J.d0.00.00.0

0.54

NETGAIN

1.81.31.00.80.60.50.40.30.30.20.20.20.10.1

107


:•: sk # :£ jt:


SPHEREINTERVAL

HEXAGON PRISM MODULE WEIGHTDIAMETER HEIGHT III SOLID

0.543

NETGAIN

****:

.1

.2

.3

.4

. 5

.6

. 7

.8

.9

.0

.1

. 2

.3

.4

6.687. 117.537.968.398.819.249.6610.0910.5110.9411.3711.7912.22

134.3117.4104.594.285.076.970.465.660.354.550.946.942.640.9

73.873.373.674.374.574.775.276.877.175.776.676.374.677.0

7675757575757677777677767577

.0

.1

.1

.6

.7

.6

.1

.6

.8

.3

.2

.8

.0

.4

MCLUDED SPHERE DIAMETER = 3.00 INCHESPHERE A.S.G. = 0.5C0 SYNTACTIC FOAM SIMENSIONS: LENGTH IN INCHES; WEIGHT IN P

.G.=OUNDS

SPHEREINTERVAL

^^***

. 1

. 2

.3

.4

. 5

.6

.7

.8

.9

.

. 1

.2

.3

.4

HEXAGONDIAMETER

9.8110.2410.6611.0911.5111.9412.3712.7913.2213.6414.0714.4914.9215.35

PRISMHEIGHT

63,.657,,353,,349..047,,442..540.,538,.335,.933,.430..631..428.,525..3

MODULEIII

75.374.074.974.778.175.477.178.278.477.876.082.979.674.8

WEIGHTSOLID

77.676.076.876.379.676.778.479.379.478.676. 883.780.275.4

2.21.81.51.31.11.00.9


0.60.50.50.40.4

0.540

NETGAIN

2.32.01.81.61.51.31.21.11.00.90.80.80.70.6

0.540

SPHEREINTERVAL

0. 1

0.20.30.40.50. 60.70. 80.91.01. 1

1.21.31.4

HEXAGONDIAMETER

12.9413.3713.7914.2214.6415.0715.4915.9216.3515.7717.2017.6216.0518.47

PRI SMHEIGHT

36,,934..231,,332..128..929,,726,.226..923.,223,.724,,320,,220..721.,2

ODULE WEIGHTIII SOLID

75.8 78.275.2 77.373.4 75.380.2 82.277.0 78.583.7 85.378.3 79.784.8 86.277.3 78.463.4 84.589.8 90.978.6 79.584.4 85.490.5 91.4

NETGAIN

2.42.11.91.91.61.61.51.51.11.11.11.01.01.0

108



0.580

SPHERE HEXAGON PRI SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT III SOLID GAIN

0. 1 3.55 436.8 71.7 75. 1 3.40.2 3.98 349.0 72.7 75.2 2.50.3 4.41 284.9 73.4 75.2 1.90.4 4.83 236.2 73.6 75.0 1.40.5 5.26 200.0 74.1 75.2 1.10.6 5.68 170.9 74.2 75.1 0.90.7 6.11 148.5 74.6 75.4 0.70. 8 6.53 13 0.2 75.0 75.6 0.60.9 6. 96 113.9 74.6 75.1 0.51.0 7.39 102.2 75.4 75.9 0.41. 1 7.81 9 0.6 74.9 75.3 0.41.2 8.24 81.4 74.8 75.1 0.31.3 8.66 74.9 76.2 76.5 0.31.4

INCLUD!

9.09 67.6 75.7 76.0 0.2

ED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.= 0.58DIMENSIONS: LE NGTH IN INCHES; WEIGHT IN POUNDS


0. 1 6.68 125.0 71.9 75.9 4.00.2 7.11 109.6 72.0 75.4 3.40.3 7.53 98.4 73.1 76.0 2.90.4 7.96 87.9 73.3 75.7 2.50.5 8.39 80.5 74.9 77.0 2.20.6 8.81 72.3 74.5 76.4 1.90.7 9.24 65.6 74.5 76. 1 1.60.8 9.66 60.7 75.6 77.1 1.50.9 10.09 55.2 75.2 76.4 1.21.0 10.51 51.8 76.6 78.0 1.11.1 10.94 48.1 77.4 78.4 1.01.2 11.37 44.1 76.6 77.5 0.91.3 11.79 39.7 74.3 75.1 0.81.4 12.22 37.9 76.3 77.0 0.7

$•,&%.%&

INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0.50J SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.580


0.1 9.81 58.1 71.9 76.1 4.20.2 10.24 54.4 73.8 77.6 3.80.3 10.66 50.4 74.5 77.9 3.40.4 11.09 46.0 73.9 76.9 3.00.5 11.51 44.3 77.1 79.9 2.90.6 11.94 39.3 73.7 76.2 2.50.7 12.37 37.2 75.2 77.4 2.20.8 12.79 34.9 75.6 77.7 2.00.9 13.22 32.4 75.4 77.1 1,81.0 13.64 29.8 73.8 75.5 1.61.1 14.07 30.6 80.8 82.5 1.61.2 14.49 27.7 77.9 79.2 1.31.3 14.92 28.5 84.8 86.2 1.31.4 15.35 25.3 79.8 81.0 1.2

109


*****INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.500 SYNTDIMENSIONS: LENGTH IN INCHES;


0.1 12.940. 2 13.370.3 13.790.4 14.220.5 14.640.6 15.070.7 15.490.8 15.920.9 16.351. 3 16.771.1 17.201.2 17.621.3 18.051.4 18.47

PRISMHEIGHT

33..334,,231 .328 .228,,925 .626,,222.,623..223.,719..82 .220,.716 .4


MGDULE WEIGHT NETIII SOLID GAIN

71.6 75.8 4.278.9 83.0 4.277.0 80.9 3.974.3 77.5 3.281.2 84.4 3.276.1 79.0 2.982.7 85.6 2.975.7 78.0 2.282.0 84.2 2.288.5 90.8 2.277.6 79.5 1.983,5 85.4 1.989.7 91.7 1.974.7 76.0 1.3

: * * >jr rkizif ^ciAspv:^;^*^!;*^:*****^;^***: :****3k*A***A*******-**iA=:-^^.^^^.****A**5";A****^*********:**!*** A** AricJ" *^^***5^Ai:t**rf;jfL *A*:4cX--**J«>k***^Ari;&>K^*>;;^-v^;5irris*sp** *:&>?:* * **;* :£**£*** *ii.Jt****^****^******^^********^^*^^-?^^*^^^^^^-^-**;'.-^*^* ******* £ *A A **^ *****:

110


# £ sk if if

• *±r -y ^' - o^r

INCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 0.0 SYNTDIMENSIONS: LENGTH IN INCHES;

PRI SMHEIGHT

179.6146.0121.4102.387.175.965.758.451.647.342.338.534.231.4



0. 1 5.750.2 6.380.3 7.010.4 7.630.5 8.260.6 8.880.7 9.510. 8 10.130.9 10.761.0 11.391. 1 12. 011.2 12.641.3 13.261.4 13.89


MODULE WEIGHT NETIV SOLID GAIN!

46.2 75.3 29.153.6 75. 3 21.658.9 75.5 16.662.5 75.4 13.064.9 75.2 10.367.5 75.9 8.468.4 75.2 6.870.3 76.0 5.770.9 75.7 4.773.6 77.7 4.173.8 77.2 3.574.9 77. 8 3.073.6 76.1 2.574.6 76.8 2.2

0.540


0.1 10.880.2 11.510.3 12. 130.4 12.760.5 13.390.6 14.010.7 14.640.8 15.260.9 15.891.0 16.511. 1 17. 141.2 17.771.3 18.391.4 19.02

>k ?y. * :f. A

PRISMHEIGHT

50.,645,.341.,336.,834,,030.,829,.725,.924..422,.620,,721.,419..216,,8

MODULEIV

42.047.151.754.758.560.565.463.866.868.068.477.074.771.1

WEIGHTSOLID

7576777577768076777877858277

.9

.0

.1

.9

.2

.7

.6

.5

.9

. 1

.0

.6

.3

.2


NETGAIN

3.98.85.31.28.76.25.22.71.10.18.68.67.66.0

0.540


0.1 16.010.2 16.640.3 17.260.4 17.690.5 18.510.6 19.140.7 19.770.8 20.390. 9 21.021.0 21.641.1 22.271.2 22. 891.3 23.521.4 24.15

PRI !>MHEIGHT

25.,223,,221..118..919,.517.,017..514,.715.,215..612,.512.,813,.213..6

MODULEIV

44.247.350.950.859.058.366.360.367.875.766.473.480.888.6

WEIGHTSOLID

81.781.579.876.584.778.786.777.484.992.778.385.392.6

100.4

NETGAIN

37.534.228.925.625.62 0.420.417.117.117111111

1

999

11.9

111


j{t jjt ^c &

:


0.540

SPHEREINTERVAL

-_-.,., Sfi

0.0.0.0.0.0.0.0.0.1.1.1.1.1.

INSPDI

HEXAGONDIAMETER

21.1421.7722.3923.0223.6424.2724. 8925.5226. 1526.7727.4028. 0228.6529.27

PR I SMHEIGHT

15,.115.,612,.212..613,.013,.49..69,.9

10.,110,.410,.711,.011,.311,.6

MODULEIV

44.952.949.556.463.871 .554.861.067.674.481 .689.297.2135.5

WEIGHTSOLID

85.593.477.684.591.999.675.181.387.894.7

101.9109.5117.4125.7

NETGAIN

CLUDED SPHERE DIAMETER = 1.00 INCHESHERE A.S.G. = 0.4J0 SYNTACTIC FOAM S.G.=MENSIONIS: LENGTH IN INCHES; WEIGHT IN POUNDS

4040282828282020202020202020

.5

.5

.1

.1

.1

.1

.3

.3

.3

.3

.3

.3

.3

.3

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEIV

WEIGHTSOLID

3.500

NETGAIN

^C "^i 5tC ^C 5?C

0.10.20.30.0.0.0.0.0.1.1.1.1.1.

5.756.387.017.638.268.889.51

10.1310.7611.3912.0112.6413.2613.89

193.2157.7130.6111.095.081 .671.763.256.750.846.04 0.438.233.6

INCLUDEDSPHERE *

DIMENSIONS

SPHERE« G. =

DIAMETER0.400

69.2 75.070.9 75.371.9 75.273.2 75.873.9 76.073.8 75.574.6 76.075.0 76.176.0 76.976.5 77.377.1 77.875.1 75.778.4 78.975.5 75.9

2.00 INCHESSYNTACTIC FOAM S.G.=HES; WEIGHT IN POUNDSLENGTH IN INCHES; WEIGHT IN

SPHEREINTERVAL

0.10.20.30.40.50.60.70.80.91.01.11.21.31.4

HEXAGONDIAMETER

10.8811.511212,13

137639

1^.0114.6415.2615. 8916.5117.1417.7718.3919.02

PRISMHEIGHT

54.349.245.441.36.33.32.28.26.925.323.421.419.219.9

MODULEIV

68.770.673.274.072.473.077.775.177.478.778.877.774.882.8

WEIGHTSOLID

75.476.478.478.476.176.380.777.679.780. 880.779.376.284.2

5.84.33.32.62.11.71.41.11.00.80.70.60.50.4

0.50

NETGAIN

6.75.85.24.43.83.33.02.52.32.11.91.61.41.4

112

BJ0YAN1CY MODULE DATA

% rie % ^: 5k

INCLUDED SPHERE DIAMETER =SPHERE A.S.G. = 0.400DIMENSIONS: LENGTH IN IN!

3.00 INCHESSYNTACTIC FOAM S.G.=HES; WEIGHT IN POUNDS


0.1 16. 310.2 16.640.3 17.260.4 17.890.5 18.510.6 19.140.7 19.770.8 20.390.9 21.021.0 21.641.1 22.271.2 22.891.3 23.521.4 24.15

sk 5k sji i!; :k

INCLUD ED SPHERESPHERE A.S.G. =D I MENS IONS: LE


0.1 21.140.2 21.770.3 22.390.4 23.020.5 23.640.6 24.270.7 24.890.8 25.520.9 26.151.0 26.771. 1 27.401.2 28.021.3 2 8.651.4 29.27

PRISMHEIGHT

25.223.224.121.919.520.117.518.115.215.616.112.813.213.6

MODULEIV

68.769.177.876.773.781.

S

76.584.37 5.482.790.576.783.690.8

WEIGHTSOLID

75.775.584. 1

82.178.486.680.288. 1

78.685.993.678.985.893.0



PRISMHEIGHT

15,.115,.616,.012,.613,.013,.413,.79,.9

10,.110,.410,,111,.011,,311.,6

MODULEIV

71.679.0

WEIGHTSOLID

867379,87.094.6

5* -Jr- 'r # &

71.577.683.990.697.6

105.0112.7

79.86.94.78.85.92.99.75.81.87.94.

101.108.116.


0.500

NETGAIN

6.96.36.35.44.74.73.83.83.23.23.22.22.22.2

0.500

NETGAIN

7.57.57.55.25.25.25.23.83.83.83.83.83.83.8

0.540

SPHERE HEXAGON PRI SM MODULE WEIGHT NETNTERVAL DIAMETER HEIGHT IV SOLID GAIN

0.1 5.75 179.6 67.8 75.3 7.50.2 6.38 146.0 69.7 75.3 5.60.3 7.01 121.4 71.2 75.5 4.30.4 7.63 102.3 72.1 75.4 3.40.5 8.26 87.1 72.5 75.2 2.70.6 8. 88 75.9 73.7 75.9 2.20.7 9.51 65.7 73.4 75.2 1.80. 8 13.13 58.4 74.5 76.0 1.50.9 10.76 51.6 74.5 75.7 1.21.0 11.29 47.3 76.6 77.7 1.11. 1 12. 31 42.3 76.3 77.2 0.91.2 12.64 38.5 77.1 77.8 0.81.3 13.26 34.2 75.5 76.1 0.71.4 13.89 31.4 76.2 76.8 0.6

113


xt^c^tA*INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 10.880.2 11.510. 3 12.130.4 12.760.5 13.390.6 14.010.7 14.640. 8 15.260.9 15.891.0 16.511. 1 17.141.2 17.771.3 18.391.4 19.02

PRI SMHEIGHT

50.645.341.336.834.030.829.725.924.422.62 0.721.419.216.8

MODULEIV

67.168.570.570.472.372.576.773.275.075.574.783.480.475.6

WEIGHTSOLID

5.96.07.15.97.26.70.66.57.98.17.05.62.37.2

jV V*- fc'~- -.



0. 1 16.010.2 16.640.3 17.260.4 17.890.5 18.510. 6 19.140.7 19.770.3 20,390. 9 21.021.0 21.641.1 22.271.2 22.891.3 23.521.4

U — »•.. J, u.24.15

PRISMHEIGHT

25.223.221.118.919.517.017. 514.715.215.612.512.813.213.6

MODULEIV

7272726978

.0

.6

.3

.6

.073.481.47380, 488.375.282.289.697.3

WEIGHTSOLID

81.781.579.876.584.778.786.777.484.992.778.385.392.6100.4


0.540

NETGAIN

8.87.56.65.54.84.23.93.32.92.62.22.22.01.6

0.540

NETGAIN

9.78.97.56.66.65.35.34.44.44.43.13.13.13.1

3.540

SPHERE HEXAGON PRISM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT IV SOLID GAIN

0. 1 21.14 15.1 75.0 85.5 10.50. 2 21.77 15.6 82.9 93.4 10.50.3 22.39 12.2 70.3 77.6 7.30.4 23.02 12.6 77.2 84.5 7.30. 5 23.64 13.0 84.6 91.9 7.30.6 24.27 13.4 92.3 99.6 7.33. 7 24. 89 9.6 69.8 75.1 5.30.8 25.52 9.9 76.0 81.3 5.30.9 26.15 10.1 82.6 87.8 5.31.0 26.77 10.4 89.4 94.7 5.31. 1 27.40 10.7 96.7 101.9 5.31. 2 2 8.32 11.0 134.2 139.5 5.31.3 28.6 5 11.3 112.2 117.4 5.31.4 29.27 11.6 120.5 125.7 5.3

114


£:•&%.£.%

INCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM 5.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.5 80


0.1 5.75 166.9 66.2 75.2 9.00.2 6.38 136.4 68.8 75.5 6.80.3 7.01 113.3 70.5 75.7 5.20.4 7.63 94.8 71 .1 75.1 4.00.5 8.26 81.7 72.6 75.8 3.20.6 8.88 70.2 72.8 75.4 2.60. 7 9.51 61.1 73.1 75.2 2.10.8 10.13 55.2 75.4 77.2 1.80.9 10.76 48.3 74.5 76.0 1.51.0 11.39 43.8 75.9 77.2 1.31.1 12.01 38.6 74.6 75.7 1.11.2 12.64 34.6 74.3 75.1 0.91.3 13.26 32.1 76.1 76.9 0.81.4 13.89 29.3 76.3 76.9 0.7

&^%?!i-$.

INCLUDE;D SPHERE DI^M!:TER = 2.00 INCHESSPHERE A.S.G. = 0.400 SYNTACTIC FOAM S.G.= 0.58DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 10.88 46.9 65.0 75.5 10.50.2 11.51 43.3 68 .8 78.1 9.30.3 12.13 39.3 70.8 78.7 7.90.4 12.76 34.7 70.1 76.9 6.30.5 13.39 31.8 71.6 77.5 5.90.6 14.01 28. 5 71.2 76.2 5.10.7 14.64 27.3 75.1 79.6 4.50.8 15.26 25.9 77.9 82.2 4.20.9 15.69 24.4 79.9 83.6 3.71. 16.51 22.6 80.5 83.9 3.41. 1 17. 14 20.7 79.8 82.7 2.91.2 17.77 18.6 77.2 79.8 2.51.3 18.39 19.2 85.9 88.4 2.51.4 19.02 16.8 80.9 82.9 2.0

jj; * # i!-. 3k

INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = . -^00 SYNTACTIC FOAM S.G.= 0.58DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 16.01 2 2.4 66.8 78.2 11.40.2 16.64 20.4 67.2 76.9 9.60.3 17.26 21.1 76.1 85.7 9.60.4 17.09 18.9 73.6 82.1 8.50.5 18.51 16.4 69.7 76.5 6.80.6 19.14 17.0 77.7 84.5 6.80.7 19.77 14.2 70.0 75.7 5.70. 8 20.39 14.7 77.5 83.2 5.70.9 21.02 15.2 85.4 91.1 5.71.0 21.64 12.1 73.1 77.0 4.01. 1 22.27 12.5 80.1 84.1 4.01.2 22.89 12.8 87.6 91.6 4.01.3 23.52 13.2 95.5 99.5 4.01.4 24. 15 9.7 74.1 76.9 2.8

115


#:&#$:£

INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.400 SYNTDIMENSIONS: LENGTH IN INCHES;

SPHEREINTERVAL

0.0.0.0.0.0.0.0.0.1.1.1.1.

HEXAGONDIAMETER

21.1421.7722.3923.0223.6424.2724.6925.5226. 1526.772 7.4028.0228.6529.27

PRI SMHEIGHT

15., 1

11,.812.,212.,613,.013.,49,.69,.9

10,.110,.410,,711,,011,.311..6


MODULE WEIGHT NETIV SOLID GAIN

78.3 91.8 13.567.0 76.3 9.474.0 83.3 9.^81.4 90. 8 9.489.3 98.7 9.497.6 107.0 9.473.9 80.6 6.880.5 87.3 6.887.6 94.3 6.894.9 101.7 6.8

102.7 109.5 6.8110.8 117.6 6.8119.4 126.1 6.8128.3 135.1 6.8

*#***INSPDI


SPHEREINTERVAL

0. 1

0.20.30.40.50.60.70.80.91.01.11.21.31.4

-u v- -', -JU:>k?V

HEXAGONDIAMETER

5.756.387.017.638.268.889.51

10.1310.7611.3912.0112.6413.2613.89

PRI SMHEIGHT

193.2157.7130.6111.095.081 .671.763.256.750.846.040.438.233.6

MODULE WEIGHTIV SOLID

72.1 75.073.1 75.373.5 75.274.5 75.875.0 76.074.7 75.575.3 76.75.6 76.176.5 76.976.9 77.377.5 77.875.4 75.778.6 78.975.7 75.9


0.500

NETGAIN

2.92.21.7

3

80.70.60.50.40.40.30.30.2

0.500

SPHERE HEXAGON PRISM MODULE WEIGHT NETNTERVAL DIAMETER HEIGHT IV SOLID GAIN

0. 1 10.88 54.3 72.0 75.4 3.40.2 11.51 49.2 73.5 76.4 2.90.3 12.13 45.4 75.8 78.4 2.60.4 12.76 41.1 76.2 78.4 2.20. 5 13.39 36.2 74.2 76.1 1.90.6 14.01 33.1 74.7 76.3 1.60. 7 14.64 32.1 79.2 80.7 1.50.8 15.26 28.4 76.3 77.6 1.30.9 15.89 26.9 78.5 79.7 1.21.0 16.51 25.3 79.8 80.8 1.01.1 17.14 23.4 79.8 80.7 0.91.2 17.77 21.4 78 .5 79.3 0.81.3 18.39 19.2 75.5 76.2 0.71.4 19.02 19.9 83.5 84.2 0.7

116


&:{: ^s^5!£


SPHEREINTERVAL

0.10.20.30.40.50.60. 70.80.91.1.11.21.31.4

HEXAGONDIAMETER

16. 0116. 6417, 2617. 8 913. 5119,,1419. 7720. 3921. 0221. 6422. 2722. 8923. 5224. 15

PRISMHEIGHT

25,,223,,224..121.,919,,520..117,.518..115,.215.,616..112..813,,213..6


72.2 75.772.3 75.580.9 84.179.4 82.176.0 73.484.2 86.678.4 80.286.2 88.177.0 78.684.3 85.992.0 93.677.8 78.984.7 85.891.9 93.0

„l- •.'..•.- wL.U


ju »v «Jy «'— «

PRISMHEIGHT

15.115.616.012.613.013.413.79.9

10.110.410.711.011.311.6

INCLUDED SPHERE DIAMETER =SPHERE A.S.G. = 0.450


0.1 21.140.2 21.770.3 22.390.4 23.020. 5 23.640.6 24.270.7 24.890.8 25.520.9 26.151.0 26.771. 1 27.401.2 28.021.3 28.651.4 29.27


75.4 79.182.7 86.590.5 94.375.7 78.382.5 85.189.6 92.297.2 99.873.4 75.379.4 81.385.8 87.792.5 94.499.5 101.4106.9 108.7114.6 116.4

I. 00 INCHESSYNTACTIC FOAM S.G.=

DI MENS IONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 5.750.2 6.383.3 7.010.4 7.630.5 8.260.6 8.880.7 9.510. 8 10.130.9 10. 761.0 11.391. 1 12. 311.2 12.641.3 13.261.4 13.89

PRI SMHEIGHT

179.6146.0121.4102.387.175.965.758.451.647.342.338.534.231.4

MODULEIV

70.571.772.773.373.574.574.175.074.977.076.777.475.776.5

WEIGHTSOLID

75.375.375.575.475.275.975.276.075.777.777.277.876.176.8

0.500

NETGAIN

3.53.23.22.72.42.41.91.91.61.61.61.11.11.1

0.500

NETGAIN

3.83.83.82.62.62.62.61.91.91.91.91.91.91.9

0.540

NETGAIN

4.93.62.82.21.71.41.10.90.80.70.60.50.40.4

117


**#£*INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.450 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.540

SPHERE HEXAGON PRI SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT IV SOLID GAIN

0. 1 10.88 50.6 70.2 75.9 5.60.2 11.51 45.3 71.2 76.0 4.80.3 12. 13 41.3 72.8 77.1 4.20.4 12.76 36.8 72.4 75.9 3.50.5 13.39 34.0 74.1 77.2 3.10.6 14.01 30.8 74.0 76.7 2.70.7 14.64 29.7 78.1 80.6 2.50. 8 15.26 25.9 74.4 76.5 2.10.9 15. 89 24.4 76.0 77.9 1.91.0 16.51 22.6 76.4 78.1 1.71. 1 17. 14 20.7 75.5 77.0 1.41.2 17.77 21.4 84.2 85.6 1.41.3 18.39 19.2 81.1 82.3 1.31.4 19.02 16.8 76.2 77.2 1.0


0.540

SPHERE HEXAGON PRI SMINTERVAL DIAMETER HEIGHT

0. 1 16.01 25.20.2 16.64 23.20.3 17.26 21.10.4 17.89 18.90.5 18.51 19.50.6 19.14 17.00.7 19.77 17. 50.8 20.39 14.70.9 21.02 15.21.0 21.64 15.61. 1 22.27 12.51.2 22.89 12.81.3 23.52 13.21.4 24.15 13.6

INCLUDED SPHERE DIAM ETER =SPHERE A.S.G. = . 4 50DIMENSIONS: LENGTH IN INC

SPHERE HEXAGON PRISMINTERVAL DIAMETER HEIGHT

0.1 21.14 15.10.2 21.77 15.60.3 22.39 12.20.4 23. 02 12.60. 5 23.64 13.00.6 24.27 13.40. 7 24.89 9.60.8 25.52 9.90.9 26.15 10.11.0 26.77 10.41.1 27.40 10.71.2 28. 02 11.01.3 28. 65 11.31.4 29.27 11 .6


75.5 81.775.8 81.575.0 79.872.2 76.580.4 84.775.3 78.783.3 86.774.6 77.482.0 84.989.9 92.776.3 78.383.3 85.390.7 92.698.4 100.4

4.00 INCHESSYNTACTIC FOAM S.G.=HES; WEIGHT IN POUNDS


78.7 85.586.6 93.472.9 77.679.8 84.587.2 91.994.9 99.671.7 75.177.9 81.384.4 87.891.3 94.798.5 101.9

106.1 109.5114. 1 117.4122.4 125.7

NETGAIN

6.25.74.84.34.33.43.42.82.82.82.02.02.02.0

0.540

NETGAIN

6.86.84.74.74.74.73.43.43.43.43.43.43.43.4

118


yc^^c^csj:


J. 583


O.L 5.75 166.9 68.7 75.2 6.50.2 6.38 136.4 70.7 75.5 4.90.3 7.01 113.3 71.9 75.7 3.73.4 7.63 94.8 72.2 75.1 2.90.5 8.26 81.7 73.5 75.8 2.30.6 8.83 70.2 73.5 75.4 1.90. 7 9.51 61.1 73.7 75.2 1.50.8 10.13 55.2 75.9 77.2 1.30.9 10.76 48.3 74.9 76.0 1.11.0 11.39 43.8 76.3 77.2 0.91.1 12.01 38.6 74.9 75.7 0.81.2 12.64 34.6 74.5 75.1 3.61.3 13.26 32.1 76.3 76.9 0.61.4 13.89 29.3 76.4 76.9 0.5

*.u *v J* *i* 4*


0.580


0.1 10.88 46.9 67.9 75.5 7.63.2 11.51 43.3 71 .4 78.1 6.70.3 12.13 39.3 73.0 78.7 5.70.4 12.76 34.7 72.0 76.9 4.93.5 13.39 31.8 73.2 77.5 4.30.6 14.01 28.5 72.6 76.2 3.70.7 14.64 27.3 76.4 79.6 3.30.8 15.26 25.9 79.1 82.2 3.00.9 15.89 24.4 81.0 83.6 2.71.0 16.51 22.6 81.4 83.9 2.41. 1 17.14 20.7 80.6 82.7 2.11.2 17.77 18.6 77.9 79.8 1.81.3 18.39 19.2 86.6 88.4 1.81.4 19.02 16.8 81.4 82.9 1.5

INCLUDED SPHERE DI4MiETER = 3.3 3 INCHESSPHERE A.S.G. = 3 . -^50 SYNTACTIC FOAM S.G.= 0.58DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 16.01 22.4 70.0 78.2 8.20.2 16.64 20.4 69.9 76.9 7.00.3 17.26 21.1 76.7 85.7 7.00.4 17.89 18.9 75.9 82.1 6.20.5 18.51 16.4 71.6 76.5 4.90.6 19. 14 17.0 79.6 84.5 4.90.7 19.77 14.2 71.5 75.7 4.13. 8 23.39 14.7 79.0 83.2 4.10.9 21.02 15.2 87.0 91.1 4.11.0 21.64 12.1 74.2 77.0 2.91. 1 22.2 7 12.5 81.2 84.1 2.91.2 22.89 12.8 88.7 91.6 2.91.3 23.52 13.2 96.6 99.5 2.91.4 24. 15 9.7 74.9 76.9 2.1

119


jk^jkjk:^


0.580

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEIV

WEIGHTSOLID

NETGAIN

****

0.10.20.30.40.50.60.70.80.91.1.1.1.1.

212122,23

14773902

23.6424.2724.8925.5226. 1526.7727.4028.0228.6529.27

INCLUDEDSPHERE A,

SPHERES. 6 . =

15.111.812.212.613.013.49.69.9

10.110.410.711.011.311.6

DIAMETER =

0.500

82.069.676.684.091.9100.275.882.489.496.8

104.112.121.130.

9176839098

107808794101109117126135

.8

.3

.3

. 8

.7

.0

.6

.3

.3

.7

.5

.6

.1

.1


DIMENSIONS:G.=


9.86.86.86.86.86.84.94.94.94.94.94.94.94.9

0.500

SPHEREINTERVAL

HEXAGONDIAMETER

PRI SMHEIGHT

MODULEIV

WEIGHTSOLID

NETGAIN

&^ -±: x*c £;

0. 1

0.20.30.40.50.60.70.80.91.01. 1

1.21.31.4

5.756.387.017.638.268. 889.5110.1310.7611.3912. 0112.6413.2613.89

193.2157.7130.6111.095.081.671.763.256.750.846.040.438.233.6

75.075.375.275.876.075.576.076.176.977.3777578

79

75.9

75.075.375.275.87b.75.576.076.176.977.377.875.778.975.9


0.00.00.00.00.00.00.00.00.00.00.00.00.0•0.0

0.500


0. 1 10.880.2 11.510.3 12. 130.4 12.760.5 13.390.6 14. 010.7 14.640.8 15.260.9 15.891.0 16.511. 1 17.141.2 17.771.3 18.391.4 19. 02

PRI SMHEIGHT

54.349.245.441.136.233.132.128.426.925.323.421.419.219.9

MODULEIV

75.476.478.478.476.176.380.777.679.760.880.779.376.284.2

WEIGHTSOLID

75.476.478.476.476.176.380.777.679.780. 880.779.376.284.2

NETGAIN

0.00.00.00.00.00.00.00.00.00.00.00.00.00.0

120


*****INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FCAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0. 1 16.010.2 16.640.3 17.260.4 17. £90.5 18.510.6 19. 140.7 19.770.8 20.390.9 21.021.0 21.641.1 22.271.2 22. 891.3 23.521.4 24.15

PRI SMHEIGHT

25..223,,224,.121.,919,.520,.117, 518,.115.,215. 616,.112..813,.213,,6

MODULEIV

WEIGHTSOLID

757584827886.680.288. 1

78.685.993.678.985.893.0

>l. *jl> J- *+* *i,-

*T *~ tt *r

INCLUDED SPHERE DIAMETER = 4.00 INCHSPHERE A.S.G. = 0.500 SYNTACTICDIMENSIONS: LENGTH IN INCHES; WEIGH

7575848278868088788593788593

ESFOAM ST IN P

.7

.5

.1

.1

.4

.6

.2

.1

.6

.9

.6

.9

.8

.0

.G.=OUNDS

SPhERE HEXAGONNTERVAL DIAMETER

0.1 21.140.2 21.770.3 22.390.4 23.020. 5 23.640.6 24.270. 7 24.890.8 25.520.9 26.151.0 26.771.1 27.401.2 28. 021.3 28.651.4 29.27

PRISMHEIGHT

15..115,,616,.012,.613..013 .413..79..9

10,.110,.410,.711,.011,.311 .6

MODULEIV

79.186.594.378 .385.192.299.875.381.387.794.4101.4108.7116.4

WEIGHTSOLID

7986.94.7885.92.9975.8187.794.4101.4108.7116.4

*.* *i* fci* •.'.- -,' -f

*""* T* T* T- *~»


SPHERE HFXAGCNINTERVAL DIAMETER

0.1 5.750.2 6.380.3 7.010.4 7.630. 5 8.260.6 8.880.7 9.510.8 10. 130.9 10.761. 11.391. 1 12.011.2 12.641.3 13.261.4 13.89

PRISMHEIGHT

179.6146.0121102877565.758.451.647.342.338.534.231.4

MODULEIV

73.173.774.274.574.475.374.775.675.377.477.077.675.976.7

WEIGHTSOLID

75.375.375.575.475.275.975.276.075.777.777.277.876.176. 8

0.500

NETGAIN

0.00.00.00.00.00.00.00.00.00.00.00.00.03.3

0.500

NETGAIN

0.00.00.00.00.00.00.00.00.00.00.03.30.00.0

0.540

NETGAIN

2.21.61.21.00.80.60.50.40.40.30.30.20.20.2

121


- ' . - ^ *?. 5^

INCLUDED SPHERE DIMETER = 2.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 10.880.2 11.510.3 12. 130.4 12.760.5 13.390.6 14.010.7 14.640.8 15.260.9 15.891.0 16.511. 1 17. 141.2 17.771.3 18.391.4 19.02

PRISMHEIGHT

50.645.341.336.83 4.030.829.725.924.422.620.721.419.216.8

MODULEIV

73.473.875.274.475.875.579.575.677.177.376.385.081.876.7

jU -if *L> *,'- 1

WEIGHTSOLID

75.976.077.175.977.276.780.676.577.978.177.085.682.377.2


SPHEREINTERVAL

0.10.20.30.40.50.60.70. 80.91.01. 1

1.21.31.4

£* j|;3^ yk

HEXAGONDIAMETER

16.0116.6417.2617.8918.5119.1419.7720.3921.0221.6422.2722.8923.5224. 15

PR I SMHEIGHT

25.223.221.118.919.517.017.514.715.215.612.512.813.213.6

MODULEIV

79.079.077.774.682.877.285.276.283.691.577.484.491.799.5

WEIGHTSOLID

81.781.579.876.584.778.786.777.484.992.778.385.392.6

100.4


DIMENSIONS

DIAMETER = 4.00 INCHES0.5C0 SYNTACTIC FOAM S.G.=


SPHEREINTERVAL

0. 1

0.20.30.40.50.60.70.80.91.01.11.21.31.4

HEXAGONDIAMETER

21.1421.7722.3923. 0223.6424.2724. 8925.5226.1526.7727.4028.0228.6529.27

PRI SMHEIGHT

15.115.612.212.613.013.49.69.9

10.110.410.711.011.311.6

MODULEIV

82.590.475.582.489.897.573.679.886.393.2100.4108.0115.9124.2

WEIGHTSOLID

85.593.477.684.591.999.675.181.387.894.7

101.9109.5117.4125.7

0.540

NETGAIN

2.52.11.91.61.41.21.10.90.80.80.60.60.60.4

0.540

NETGAIN

2.82.52.11.91.91.51.51.31.31.30.90.90.90.9

0.540

NETGAIN

3.03.02.12.12.12.11.51.51.51.51.51.51.51.5

122


5}t * ijt s£AINCLUDED SPHERE DIAMETER = 1.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.= 0.580DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 5.75 166.9 71.2 75.2 4.00.2 6.38 136.4 72.5 75.5 3.00.3 7,01 113.3 73.4 75.7 2.30.4 7.63 94.8 73.4 75.1 1.80.5 8.26 81.7 74.4 75.8 1.40.6 8.88 70.2 74.3 75.4 1.1


71.2 75.272.5 75.573.4 75.773.4 75.174.4 75.874.3 75.474.3 75.276.4 77.275.3 76.076.6 77.275.2 75.774.8 75.176.5 76.976.6 76.9

0.7 9.51 61.1 74.3 75.2 0.90.8 10.13 55.2 76.4 77.2 0.80.9 10.76 48.3 75.3 76.0 0.71.0 11.39 43.8 76.6 77.2 0.61.1 12.01 38.6 75.2 75.7 0.51.2 12.64 34.6 74.8 75.1 0.41.3 13.26 32.1 76.5 76.9 0.31.4 13.89 29.3 76.6 76.9 0.3

3cj *%r, 4: >*: ^£c

INCLUDED SPHERE DIAMETER = 2.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FCAM S.G.= 3.580DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 10.88 46.9 70.8 75.5 4.60.2 11.51 43.3 74.0 78.1 4.10.3 12.13 39.3 75.2 78.7 3.50.4 12.76 34.7 73.9 76.9 3.00.5 13.39 31.8 74.9 77.5 2.60.6 14.01 28.5 74.0 76.2 2.30.7 14.64 27.3 77.6 79.6 2.00.8 15.26 25.9 80.3 82.2 1.90.9 15.89 24.4 82.0 83.6 1.61.0 16.51 22.6 82.4 83.9 1.51.1 17.14 20.7 81.4 82.7 1.31.2 17.77 18.6 78.6 79.8 1.11.3 18.39 19.2 87.3 88.4 1.11.4 19.02 16.8 82.0 82.9 0.9

INCLUDED SPHERE DIAMETER = 3.00 INCHESSPHERE A.S.G. = 0,500 SYNTACTIC FCAM S.G.= 0.560DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS


0.1 16.01 22.4 73.2 78.2 5.10.2 16.64 20.4 72.6 76.9 4.30.3 17.26 21.1 81.4 85.7 4.30.4 17.89 18.9 78.3 82.1 3.80.5 18.51 16.4 73.5 76.5 3.00.6 19.14 17.0 81.5 84.5 3.00.7 19.77 14.2 73.1 75.7 2.50.8 20.39 14.7 80.6 83.2 2.50.9 21.02 15.2 88.6 91.1 2.51.0 21.64 12.1 75.3 77.0 1.31.1 22.27 12.5 82.3 64.1 1.81.2 22.89 12.8 89.8 91.6 1.81.3 23.52 13.2 97.7 99.5 1.81.4 24.15 9.7 75.7 76.9 1.3

*&;'*)..

123


#*#:INCLUDED SPHERE DIAMETER = 4.00 INCHESSPHERE A.S.G. = 0.500 SYNTACTIC FOAM S.G.=DIMENSIONS: LENGTH IN INCHES; WEIGHT IN POUNDS

0.580

SPHERE HEXAGON PR I SM MODULE WEIGHT NETINTERVAL DIAMETER HEIGHT IV SOLID GAIN

0.1 21.14 15.1 85.8 91.8 6.00.2 21.77 11.8 72.2 76.3 4.20.3 22.39 12.2 79.2 83.3 4.20.4 23.02 12.6 86.6 90.8 4.23. 5 23.64 13.3 94.5 98.7 4.20.6 24.27 13.4 102.8 107.0 4.20.7 24.89 9.6 77.6 80.6 3.30. 8 25.52 9.9 84.3 87.3 3.00.9 26.15 10.1 91.3 94. 3 3.01.0 26.77 13.4 98.7 101.7 3.31. 1 27.40 10.7 10O.5 109.5 3.01.2 28.02 11.0 114.6 117.6 3.01.3 28.65 11.3 123.1 126.1 3.31.4 29.27 11.6 132.1 135.1 3.0

124

COMPUTER PR03RAM TO GENERATE BUOYANCY MODULE DATA

GIVEN IN°UT INP3PMATION ASG (APPARENT SPECIFIC GRAVITY)OF SPHERE AND DG (SÊCIÎC GRAVITY) OF SYNTACTIC FOAMPROGRAM WILL GENERATE DIMENSIONS AND WEIGHT OF OPTIMUM MODELFOR SI (SPHE 3C INTERVAL) FROM 0.1 INCH TO 1.4 INCH S D ACINGOTHER TERMS AS FOLLOWS: CPI = CONSTANT TIMES PI, WM= SPECIFIEMAXIMUM WEI3HT OP M3DULE THAT CAN BE HANDLED, SR= SPHERERADIUS, SD = S°HE?E DIAMETER, DS= DENSITY OF SPHEPE,DF= DENSITY OF FOAM, DHEX= DIAMETER OF HEXAGON, AHEX= AREAOF PRISM BASE, WHEX= WEIGHT OF PRISIM, NS= NUMBER OF SPHERESINCLUDED IN LAYER. NS VA^YS ACCORDING TO MCÊL STUDIED

10

CPI =

WM=75.KKK=-1DO 60READ,DO 5KKK=KKIF (MODSD=IIWRITEWRITE(SR= SDDS=AS3DF= SGDO 4SI = JTBP =

TIP=(SDHEX=2AHEX=2H0=( WMHHEX=2NS=19HHEX=HNS = MS +IF (HHEHHEX=HNS=NS+IF(HHEGO TOCO NT INVHEX=AVS=NS*VF=VHEWHEXS=WHEXV=GAIN =

WRITE!CONTINCO NT INCONTINFORMATFORMATFORMAT

2' INC15X,'SP3/,5X,

•

400 FORMAT1 'MCDUL3 5X, •

H

c

47X,« IISTOPEND

20

405060

100200300

4-. 3/3. J

JJ=1 ,10ASG, SGI 1=1 ,4K+l(KK<,3),

3.141592

g.o)

(66,/2

J =y

c p

h+.0.5/D.0

,340.066

1,0.+sSI*(93r-)

*T

30) SD, ASG,0)

WRITE (6, ICO)

SG

2.c «

1410I

4/1728.4/ 1728.0

)*28

/ABP

J . 3 6 6 3.0*(SD+SI)+( (SR+SI J/0.8 86)

)

* (DHEX/2.0)**2HEX

+ TI °

.HO) GO TO 20+ TI P

HH C X

HEX12X.GEHEX19X.GE. HO) GO TO 2010JEHEXCPI*X-VSV4EXVF*D1,'HEX6 ,20UEUEUE{ ' 1«(F8.(

HES'HERE3 I M^(3X,E WEIGHT,4X

F+VS='-RSS - WHEXV3) SI ,PHEX,HHEX,WHEXV,WHEXS ,GAIN

,21X, 'BJOYANCY MODULE DATA"1,2X,F8.2,5X,F8.1,3X,3F8.1)'^^-S/^XÎNCLUDEO S°H

,/,

125

LIST OF REFERENCES

1. Sweeney, J. B. , A Pictorial History of Oceanographic Submersibles,

Crown Publishers, Inc., 1970.

2. Horton, T. F. , Deep Diving Manned Submersibles , Supplement to

Transactions of the 2nd Annual Marine Technology Society Conferenceand Exhibit, Washington, D. C, June 27-29, 1966.

3. Office of Naval Research, Report P-2452, Report of the Deep SubmergenceSystems Review Group , v. I, II, and III, March 1964.

4. Craven, J. P. and Searle, W. F. , The Engineering of Sea Systems,

Transactions of the 2nd Annual Marine Technology Society Conferenceand Exhibit, Washington, D. C. , June 27-29, 1966.

5. U.S. Naval Applied Science Laboratory Project 9300-57 ProgressReport 1, Analytical Studies of Hollow Spheres for "Lower DensityHigher Strength Buoyancy Materials, SF 202-24-25, Task 1013 , byStechler, B. G. and Resnick, I., August 16, 1965.

6. Resnick, I. and Macander, A., "Syntactic Foams for Deep Sea EngineeringApplications", Naval Engineers Journal , v. 80, n. 2, p. 235-243,April 1968.

7. Krenzke, Ma. A. and Kiernan, T. J., Advanced Syntactic Foams forDeep Submergence, Decade Ahead 1970-1980 , Transactions of the 5thAnnual Marine Technology Society Conference and Exhibit, Washington,D. C. , June 1969.

8. Kallas, D. H. and Chatten, C. K. , "Buoyancy Materials for DeepSubmergence", Ocean Engineering , v. 1, p. 421-431, January 1969.

9. Ianuzzi, A. P., The Design of an Optimized Buoyancy Module for DeepOcean Use , Transactions of the 6th Annual Marine Technology SocietyConference and Exhibit, Washington, D. C. , June 1970.

10. Rosenberg, M. A., "Buoyancy Materials for Deep Submergence",Oceanology International , v. S, n. 3, p. 30-32, March 1970

11. Green, P. A., Design Study of a Scientific Research SubmersibleSystem SRS - 20,000 , 7th U. S. Navy Symposium of Military OceanographyFroceedings, Annapolis, Maryland, p. 233-272, May 12-14, 1970.

12. Terry, R. D. , The Deep Submersible , Western Periodicals Co., 1966.

13. Friedman, B. L., "The Submarine That Save Its Crew", Naval ResearchReview, p. 23, January 1970.

126

14. Dimitriadis, A. P., "Prospects for Superconducting Systems on MilitarySubmarines", Journal of Hydronautics , v. 6, n. 1, p. 16-20, January1972.

15. Janes Fighting Ships 1971-72. p. 515, McGraw-Hill Book Co., 1972.

16. Hoerner, S. F. , Fluid-Dynamic Drag , Hoerner, 1965.

17. Lord Rayleigh, "On the Pressure Developed in a Liquid During theCollapse of a Spherical Cavity", Philosophical Magazine , Vol. 34,

p. 9, 1917.

127

INITIAL DISTRIBUTION LIST

Page

1. Defense Documantation Center 2

Cameron StationAlexandria, Virginia 22314

2. Library, Code 0212 2

Naval Postgraduate School

Monterey, California 93940

3. Department of Oceanography 3

Naval Postgraduate SchoolMonterey, California 93940

4. Dr. Robert G. Paquette 10

Department of OceanographyNaval Postgraduate School

Monterey, California 93940

5. Dr. Edward B. Thornton 1

Department of OceanographyNaval Postgraduate SchoolMonterey, California 93940

6. LCDR David T. Byrnes 3

USS TUSK (SS426)

c/o FPO New York, New York 09501

7. Commander San Francisco Bay Naval Shipyard 1

Mare IslandAttn: Mr. George Childs, Code 38

Vallejo, California 94590

8. Commander Submarine Development Group One 1

SUBDEVGRU ONEc/o FSPO San Diego, California 92132

9. Coors Porcelain Company 1

Attn: Mr. B. E. SteinkuhlerGolden, Colorado 80401

10. Mr. Harry A. Jackson 1

17 Birch LaneGroton, Connecticut 06340

11. Commanding Officer Naval Underwater 1

Research and Development CenterSan Diego, California 92132

128

12. Lockheed Missile and Space CompanyAttn: Mr. M. A. RosenbergBldg. 150, Dept. 57-30

P. 0. Box 504

Sunnyvale, California 94088

13. Undersea Vehicle Safety Standards SubcommitteeAttn: Mr. J. A. PritzlaffWestinghouse Oceanic DivisionP. 0. Box 1488Annapolis, Maryland 21404

14. Oceanographer of the NavyDepartment of the NavyMadison Building732 North Washington StreetAlexandria, Virginia 22314

15. Commander U. S. Naval Oceanographic OfficeU. S. Naval Oceanographic OfficeSuitland, Maryland 20390

16. Commander Naval Ships System CommandDepartment of the NavyNational Center, No. 3

2531 Jefferson Davis HighwayArlington, Virginia 20360

17. Chief of Naval ResearchOffice of Naval ResearchBallston Centre Tower No. 1

800 North Quincy StreetArlington, Virginia 22217

18. Commander ASW Warfare ProgramsAttn: Submarine DivisionDepartment of the NavyCNO, PentagonWashington, D. C. 20350

19. Commanding OfficerNaval Civil Engineering LaboratoryPort Hueneme, California 93041

20. University of Rhode IslandOcean Engineering DepartmentCollege of EngineeringAttn: Mr. F. H. MiddletonKingston, Rhode Island 02881

129

21. University of HawaiiAttn: Dr. J. P. CravenHonolulu, Hawaii 96822

22. The Catholic University of AmericaAttn: Dr. F. A. AndrewsWashington, D. C. 20017

23. Dr. N. A. OstensoCode 480DOffice of Naval ResearchArlington, Virginia 22217

130

lliT-lnfisifipdSecurity Classification

DOCUMENT CONTROL DATA -R&D(Security clas silication of title, body of abstract and Indexing annotation must be entered when the overall report In claiallled)

2a. REPORT SECURITY CLASSIFICATIONI originating activity (Corporate author)


ling] fnr,.qj fieri26. GROUP

3 REPOR T TITLE

Deep Submersible Logistic Support Design Concept

4 descriptive NOTES (Type of report and.inclusive date a)

Master's Thesis; September 19725 au THORiSi (First name, middle Initial, laat nama)

David Thomas Byrnes

« REPOR T D A TE

September 1972

7a. TOTAL NO. OF PAGES

1 ^7

76. NO. OF REFS

17t«. CONTRACT OR GRANT NO.

6. PROJEC T NO.

9a. ORIGINATOR'S REPORT NUMBERIS)

»6. OTHER REPORT NOIS) (Any other number* that may ba aaelfriedthla report)

10. DISTRIBUTION STATEMENT

Approved for public release; distribution unlimited.

11. SUPPLEMENTARY NOTES 12. SPONSORING MILI TAR Y ACTIVITY


13. ABSTRACT

This thesis proposes a simplification of the logistic and operational problemsof deep submersibles using a support craft-submersible combination. Shown is animproved vehicle launch and recovery method and a means to transfer personnel,supplies, and services during sea conditions presently detrimental to suchoperations. The combination is shown as capable of short range operations closeto port as a complete unit, but for distant areas, the combination, which is airtransportable, may require tending services of an available larger ship. A scalemodel of the combination was built to illustrate a method for support craft andsubmersible bow-to-stern mating concept. Designs for the submersible indicatehow the system components can accommodate an elevator to reduce vehicle drag andto make equipment accessible for maintenance. Efficient buoyancy material isimportant to the idea. Small diameter porcelain spheres were made and tested toshow the feasibility of sphere-syntactic foam conglomerate for buoyancy at20,000 feet.

DD, f

n°o

rv\.1473

S/N 0101 -807-681 1

(PAGE 1)

131 Unci n.ssi fird.Security Classification

4-3140*

Tipr-1 aasJLfj p ^Security Classification

key wo RDI

SubmarineSubmersibleSubmersible support shipSubmersible launch and recoverySbumersible logistic supportSubmersible matingSubmersible equipmentSubmarine supportSubmarine tankersBuoyancyBuoyancy spheresSyntactic foamCeramic spheresSalvageOcean SalvageOcean data collectionLifting heavy loadsUnderwater transportationDeep diving system

DD ,

F.r„14735/N 0101-607-632 1

BACK

132 Unci ass if j edSecurity Classification A- 3 I 409

t3S062

)o-Thes Bvrnes wmers^ e ,0"

concept

, n i' 1 r "'

2 u

Thesis 138062B97 Byrnesc.l Deep submersible lo-

gistic support designconcept.

^submersible logistic support^sjjn

deep submersible logistic support design concept. · navalpostgraduateschool monterey,california...

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