dds 582-1 calculations for mooring systems (1)

5/14/2018 DDS 582-1 Calculations for Mooring Systems (1)

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DDS 582-1CALCULA TIONS

FORMOORING SYSTEMS

DEPARTMENT OF THE NAVY,NAVAL SEA SYSTEMS COMMANDWASHINGTON, DC 203625101

DISTRIBUTION AUTHORIZED TO 000 AND DOD CONTRACTORS ONLY;(CRITICAL TECHNOLOGY) (16 JAN 1987). OTHER REQUESTS SHALL BEREFERRED TO NAVAL SEA SYSTEMS COMMAND (SEA 0982).


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D E S I G N D A T A S H E E TN A V A L S E A S Y S T E M S C O M M A N DD E P A R T M E N T O F T H E N A V YD D S 582-1

W A S H I N G T O N , D C 2 0 3 6 21 6 J A N U A R Y 1987D D S 582-1D E S I G N D A T A S H E E T - C A L C U L A T I O N S f O R M O O R I N G S Y S T E M SParagraph582-1-a582-1-b5 8 2 - 1 - c582-1-d582-1-d(1)582-1-d(2)582-1-d(3)

582-1-e582-1-e(1)

582-' - f582-1-f(1)582-1-f(2)582-1-f{3)582-1-f(4)582-1-f(5)582-1-f(6)582-1-f(7)582-1-f(8)582- t-g582-1-h582-1-t

582-1-j58?-1-k

582- '-Ill

Contents PageI N T R O D U C T I O N . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4S YM BO LS F O R F O RM UL AS ; A B BR EV IA TI ON S 5M O O R I N G D E S I G N C O N D I T I O N S 1 0M O O R I N G L O A D S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 0Wind forces............................................ 11CUrrent forces......................................... 11Calculation procedure for wind andcurrent forces , ,......... 15

C A L C U L A T I O N O F M O O R I N G L I N E F O R C E S , ' , , . . 21Step-by-step calculation procedure formooring line forces., , , 21M O O R I N G E Q U I P M E N T , , 26

Layout of mooring lines 26Hoar l ng 1 .ine s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 30Mooring chocks , 31Mooring bitts , 31Hawser reels 31Rope storage bins , , 31Capstan heads " 36Fairleaders , , , , 36

C A PS TA N P OW E R R EQ UI RE ME NT 36B E R T H I N G P I E R B O L L A R D S P A C I N G S 3 9E X A M P L E . M O O R I N G A N A L Y S I S U S I N G T H S C A L C U L A T I O NP R O C E D U R E , l l OB l B L I O G R A P H Y 52ADDITIONAL REFERENCE MATSRIAL. ............. , ... 52A P P E N D I X A - L I S T S O f S Y N T H E T I C R O P E S A N D T H E I R

B R E , Q . f : IN G S T R E N G T H S 3A P p ~ N n ; x H - C O N V E R S I O N T A B L E F O R M E T R I C U N I T S . , 60


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582-1-n APPENDIX C - MINIMUM NUMBER Of LINES USED INP R E L I M I N A R Y M O O R I N G A N A L Y S I S 6 2582-1-0 APPENDIX D - BLANK CALCULATION SHEETS 64

CalculationSheet - 1 Wind an d current forces, foot-pound units

Table

figure i,2.

3.4.

5 .6 .

7.8.9.10.

- 1 Wind and curren t forces, metric units- 2 Mooring line forces- 3 C apstan desi gn

TABLES1.tI.I Ir.I V .V .

C ho ck s fo r n yl on r op e ............................... .... 32B i tt s for n y I on rope..................................... 33Vertical hawser reels 34Hor izontal hawser ree I s '........... ............ .. 35C apstan head sizes for n ylon ropes 37

r'IGURESLongitudin al current skin friction coerricientCxca)' based on reference (1) 12L ateral current force coefficient (Cye)'based on refere n ce ( ,).................................... 1 3C urrent yaw moment coefficient (C xyc)'b as ed o n r efer en ce (1 ).................................... 14L ongitudinal win d force coefficient (Cxw)'based on tr-ef'er-ence (1) 16Lateral wind force coefficient (Cvw)'b as ed o n r efe re nc e ( 1} ......... " .......................... 1 7W i n d yaw moment coefficient (Cxyw)'based on reference (1) 19Diagram of mooring system with two degreeso f f re e do m... ...... ...... ...... ...... ....... ...... ...... .. 2 2E lastic modul i of moor ing ropes , 2'-lT ypical moo rin g arran gemen t on ship's forecastle '" 27T ypical moorin g arran gemen t on ship's quarter 28

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-.-.---.-.---.~~=~============-- .........

fI GU RE S ( co nt in ue d)

11. M oorin g lin e layouts for n ormal an d heavy weatherc o n d i t i o n s . .... ........ ' " 29

12. E xample of win d an d curren t force calculationsfor heavy weather con dition ~313. E xample of win d an d curren t force calculation sfor heavy weather con dition (con tin ued) 44'14. E xample of moorin g line force calculation s forn o r ma l w e at he r c o nd i ti o n ... .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. . 4 515. E xample of mooring lin e force calculationsfor n ormal weather con dition (contin ued) 4616. E xample of mooring lin e force calculation sfor n ormal weather con dition (con tin ued) 4717. E xample of moorin g lin e force ca~culation 3for heavy weather c on dition 4818. E xample of moorin g lin e force calculation 3for heavy weather con dition (con tin ued) 4919. E xample of moorin g lin e force calculat.ionsfor heavy weather con dition (con tin ued) 502 0. E xample of calculation of requiredcapstan power 51

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00S -5 82-1-a . I NT RO DU CT IO NA fiKed moorin g system provided on Navy ships should permit the ship to remainsafely moored to a pier un der specified design loading conditions.The purpose of this design data sheet is to provide guidance an d uniformstandards for design calculations for moorin g of Navy ships.The design procedure presented in the DDS applies to mooring lines ofdifferent materials, including manila, synthetic fiber, and wire.The data sheet contains three main parts: Part I ( D D S 58 2-1-d) p res en ts arecommended procedure for calculating wind and current forces, Part II ( D D SS82-1-e) describes a calculation procedure for determining mooring lineten sion forces based on a system that has two degrees of freedom, and Part III(DDS 582-1-f) provides information on mooring equipment such as ropes~ mooringchocks, bitts, hawser reels, and capstans.Calculation sheets and tables are prepared for use i n both metric and inch-poun d units. -Only Calculation S heet-l is presented in two versions, one forinch-poun d units an d the other for metric units. The two other calculationsheets are presented in on e version each.To illustrate the design procedure, an example is included in DDS 582-1-i.A bibliography of referenced doc~~ents cited in the text is provided inDD S 582~1-j. Additional references of related material are listed i nDDS 582-1-k.

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D D S - 5 8 2 - 1 - b . S Y M B O L S F O R F O R M U L A S ; A B B R E V I A T I O N S

S y m b o l o rabbreviation

a

b

BBS

cc

ex wCxycC x y weycC y w

r-' \)'-, ,l ...

Quantity or meaning

End projected area below thewaterlineLongitudinal projected wind areamodelCross-sectional area of mooringlineLateral (side) projected wind areaof vesselnIi .Xi1=1

BeamBreaking strength of lineB re ak in g s tr en gt h of ropen

L : > . ; . . X .2. 1 1 11= .Circumference of rope

Longitudinal current skin frictioncoefficientLongitudinal current force dragcoefficientLongitudinal wind force coefficientCurrent yaw moment coefficientWind yaw moment coefficientLateral current force coefficientLateral wind force coefficient

" 5

S IunitsU . S .inch-poundunits

N /m lb/ft

m 2 ft2

m2 ft 2

m m 2 in 2

m2 ft2N I b

m ftk N lbk N I b

kNm ft-lb

m m in

(Dimensionless)

do.do.do.do.do.do.


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Symbol orabbreviation

FS

ik .y l

K .1,J. 1

LWL

Quantity or meaning

Youngts modulus of rope materialFactor of safety of mooring lineTotal external longitudinal forceLongitutional current forceLogitutional wind forceTotal external lateral forceLateral current forceMooring line forceLateral wind forceCapstan powerLine number (often in subscript)Line spring constant componer.t inY-direct~on

L i n e s p r i n g c o n s t a n t :

Line length from chock ta ballardLine length from bitts to chockLength. of ropeLine length from bollard$ to bittsWaterline length of the shipCurrent yaw momentOverall yaw momentWind yaw momentCapstan line pull

6

SIunitsU.S.inch-poundunits

(Dimensionless)NNNNNNNkW

tU m

N/mm

mmmmNm

NmNmN

lbIbIbIbIbIbIbhp

Ib/ft

Ib/ftftftftftftft-lbft-lbft-lbIb


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STT1VV b

V cV c pV wWDX b 1 1Yb1 I.Zbl;XehiYeh}ZChJ

'Y1 16 y' 7 97 J h -'-_: -., :.7 lce

Quantity or meaning

W et ted s urfac eDraftL in e ten sionVolume

Lateral berthing speedCurrent speedCapstan line speedWind speedWater depth

B ol la rd c oo rd in at es

M oorin g chock coordin ates

Ship rotation about vertical axisDisplacement of shipS hi p t ra ns la ti on i n Y-direetionEfficiency of gears and bearingsEfficiency of hydraulic pumpand motor

Efficiency of capstan headMooring line angle in horizontalplane

7

U.S.S1 inch-poundunits units

m2 ft2m f tk N I bm 3 ft3

kt k tk t ktmlmin 11 ftlminkt k tm ft

m ft

m ft

r a d r a dt L Tm f t(Dimensionless)

do.

do.


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f' c

C Gdegdo.FSftghpinkktI bm

mminN

Quantity or meaning

Relative bearing of approachingcurrent (also called an gle ofc ur ren t a tta ck )

Relative bearing of approachingwind (also called angle of windattack)Mass density of water

Mass density of airHoc~ing line an gle in ver~icalp iane

Cente~ of g r a v i t yDegreeDittoFactor of safetyFootG r a mHorsepowerInchKilo (prefix, as in kW).Knot (1852 m e t e r s p e r hour)

51units

Pound (force unless otherwise indicated)MeterMilli (p refix, a s in m m )Minute (of time)Newton

8

--._---__-,". -----

U.Sinch-poundunits

21

21

----_" - --_._._._-------- .----_._----_.",----- ,_


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S ymbol orabbreviation Quan tity Or mean inB 51unitsU .Sinch-poundun i ts

rad Radianrev Revolutions Secon d (of time)51 In tern ation al S ystem of Un itsSNAME S ociety of N aval A rchitects and M arin eEngineerst Metric ton ~/L T L on g tonW Watt

21

1/ T he min ute (of time) and the degree (of arc) are not strictlypart of SI, but are usable with it, an d each has the same meanin gin both systems of un its.1b-s2A u n it of one ft is also kn own as the slug, which is

equivalen t to 32.11~ p ou nd s m as s, a pp ro xi ma te ly .J I T he metric ton , common in commerce, is n ot an SI un it, but is identi-cally equal to 1000 kg. When used as a un it of force the metric tonis taken as 9 . 8 0 6 6 5 kilonewtons.

9

-__


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D D S-582-1-c . M O O RI N G D ES I GN C O ND I TI O NSGen eralT he des ign of a sy stem fo r moo rin g to a pi er shall b e in acc ordan c e wi th them ethods a n d c riteri a descri bed herein.T he m oor in g equ ipme n t on N av y ships is i n te n ded to per mit the ship to rem ainm oor ed un der the co n di tio n s of win d an d cur ren t preval en t a t its usu alb erthin g sites, except for extrem e c on diti on s su ch a s t ho se c au se d byhurr ica nes or ty pho on s .I n this D D S the ship is ass umed to be m oor ed at c on v en tion al pier faci li~ieswhere the en vi ron men tal forc es im pos ed on it are tho se of wind a nd c ur ~r nt.I n the cal cula tio n s, the w in d a n d c urr en t forc es are c on s idered to b e st~adys tate in n a tur e a n d ac cor din gly a re treated as sta tic lo ads. T o a llc w rordyn a mic for ces , c on s erv ati ve ass umption s a re m ade in es tab lishin g w in d a~dc urr en t v elo cities for deS ign p urpo ses.The equi pme n t for mo ori n g sys tem s i s desig n ed fo r tw o w eather co n di tio r.s :

(1) N o rma l w eather co n di tio n. Win d of 25 k n ots an d cu rre n t of 1 kn otac tin g si multan eous ly an d at ri ght an gles to the shi p's c en terl in e,both ten din g to push the ship a way from the pier.{2 } Hea vy w eather co n di tio n. Wi n d of 50 kn ots an d cur ren t of 3 kr.otsac tin g s imu lta n eo usl y an d at righ: an gles to the shi p's ce~ter lin e.both ten di n g to p ~sh the ship -aw ay fr om ~he pi er.

T o determi n e the' wor st~cas e s tresses on the ship , wi n d an d c urre n t fo rcesshou ld be ca lcu lated far the ship lightl y l oaded (sha llow draft) an d ful lylo aded (deepes t dr aft), fo r each weather con dition .F actors of S afe~y of M oo rin g'L in esT o p rov ide fa cto rs of s afety bas ed o~ a do ubl ej u p li n e u~der the fo reg oin gco n di tio n s, the c alc ula ted ten s ion fo rces in mo ori n g li n es shou ld b e n ot lessthan the fcl]ow i~g:

o N or mal weather con dition , F S = 9.0 for des~gn ap pli ~~ l a~~so Hea vy weather co n di tio n , FS = 3.0 fo r li mit app lied i03ds

DDS-582-1-d. M O O R I~G LOADST he moo rin g a rra n gemen t i s desig n ed to a cco mmo date stati c steady state ~in dan d cur ren t for ces. O wi n g to thei r com plexity, the dy n am ic for ces cau sed bys U rg e, w in d gus ts, wa ves , an d pa ssi n g ship effec ts a re n ot c on s idered i n thec alc ula tio ns. I nstead, co nserva tiv ely esta bli shed desi gn l oadin g con dition ss pec ified in D D S 582-1-c pro vide suffic ien t r eserve stren gth in the moo rin g

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arran gemen t to allow for these tran sien t dyn amic stresses. Both win d andcurren t are applied at the ship's cen ter of gravity (eG), (1)O D $ - 5 8 2 - 1 - 0 ( 1 ) W I N D F O R C E SThe magn itude of the wind force on the ship is influen ced by the win d velocity(speed an d relative direction) an d by the projected wind area of the ship.Gen erally, the moored ship is exposed to the highest wind forces when the win dstrikes the ship from abeam with the ship in its light con dition.The resultan t win d forces an d yaw momen t actin g through the ship's cen ter areexpressed by the followin g equation s:

L on gitudinal win d forcefxw ; 1/2 Cxw . ;Ow V 2 A e

L ateral win d forcefyw :: 1/2 . C y w . I"w V 2 A s

Win d yaw momen tM - 1 / 2 C xyw Pw V 2 . As' L W Lw - w

( 1 )

(2)

(3)

D D S - 5 8 2 - 1 - d ( 2 ) C UR RE NT f OR CE SL on gitudin al current force

F xc ; 1 / 2 . jOc.' V c 2 ( C K c a . S . B l L W L + C x c b . A b ) (4 )where:

or S = 15.5 ~LW L .. D .S = 2.588 V LW L . 6 .

L ateral curren t forceFyc :: 1/2 . Cyc (S)

C u r r e n t yaw m o m e n tM e : : 1/ 2 . C x y c . ; o c . V c 2 . L W L 2 . T (6 )

where:C x c a C ye ' and CKyC are longitudin al, lateral, an d y a w curre n tcoefficien ts determin ed from the diagrams o n figures 1 , 2 , and 3.

( 1 ) M o o r i n g D es ig n P hy si ca l a n d Empirical D ata, D esign M a n u a l 26.6,D epartmen t of the N avy, N aval F acilities E n gin eerin g C omman d, March 19 82.

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o~o.oo

~O.2

~0.3

0.4 r-.180~~OO\ 6c1 \\

I I I I ~ 1 I I I _j. I ,T~

I ,

1\ .\\,. -.I I 1 I I I I I I I ,1 J

0.3

0.2

0.1

ANGLE OF CURRENT APPROACH 1 a cFIGURE 1 . Lon gitudinal current skin friction coefficien t

(C y.c a)! b as ed o n refer enc e ( 1 ) .

12

---~-- - --.~---.---------.,~-- .---------~----


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WD=I .054 . 0 ~ - - - - ~ ~ - - - - ~ - - - - - T , - - - - - - - ~ - - - - - - - - - - - - ~

~ 2. 0+----~__,I--,,--~-- ~----+-~-\-~+---~U

0~~~~--~~~~--~+-~~-1--~~~~~~0 .. 30 600 90 l200 1500 1800

A N G L E OF C U R R E NT APPROACH 1 e c

F I GU R E 2. L a ter al cur ren t forc e coeffi cien t( e y e ) , ba sed on referen ce (1).

1 3

--~-.-._------- ------- ------ -----


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------'---~--~-.-._------- -~ .. ----

0.4L E G E N D :

0 . 3 WD/T1.051.10 . ._-1.20 ---0.2 1.50 _ . .-2.00 . . . . . . . . . . . . . . . . .3.00 ----!!6.00 _ . . . . . . . . . . . . . . _ . -

0.1 ,IIDo.t; ! ~D.I e0 ce-,1(0.0

o . . . . . . ."O.!

-O.4~~~--~~~~--~~-+~~~~~--~+-~~-10 300 60 90 1200 I~Oo 1800

ANGLE OF CURR ENT APPROACH, 9cF IGU R E 3. C ur re n t ya w mom en t c oeffi ci en t ( C xyc),

bas ed o n r eferen ce (1).

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T he coefficien ts C ye and C xyc are affected by the clearan ce between the ship'skeel and the sea bottom. To facilitate computations, the un derkeel clearan ceis expressed as the ratio of the water depth ( W D ) to the ship's draft (1).D D S - 5 8 2 - 1 - d ( 3 ) C A L C U L A T I O N P R O C E D U R E F O R W I N D A N D C U R R E N T F O R C E SA step-by-step procedure is used in Calculation S heet-l (see appen dix D ) fordetermin in g wind an d curren t loads. The procedure is gen eral ar.c ~ay be usedfor win d and current velocities oriented at any an gle to the Siilp'scenterline.To meet the moorin g design requirements for Navy ships, the wln ~ an d currentforces must be calculated for both n ormal weather an d heavy weath~rconditions.Based Qn the defin ition s in D D S 582-1-d (1) an d D D S 582-1-d (2), the win d andcurrent calculation procedure consists of the followin g s:eos as numbered onC al cu la ti on S hee t-I .

I N P U T D A T ASteps _! JS pecify ship particulars used !or win d an d current forcecalculat ion s.Steps 5 and 6D etermin e end an d side projected wind areas (A e and A s).S tees 7 - 10Specify win d an d curren t speed (VW 1 Vc) an d their attack an gles(H Hw ' HHc)'S tep 11S pectfy water depth ( W D ) ,

W IN D F O R C EStep 12D etermin e lon gitudinal wind force coefficient (Cxw) from figure 4.S tep 13D etermin e lateral win d force coefficient (C y w ) from figure 5.

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1.00.90.80.70.6o.~0.40.30.20.1C 0.0U 0.1

0.20.30.4O.S0.6-0.7"0.8"0.9

I< 160"E='~OO-, I e." + 1 ' 1'\.. . _ I i ! J 1 : ! . . . . t. 'rL ' K l P~,." ' \ : 0' " ~ - ' J : I . A \~\1 . . ~ I 1 . t. . ~ . I\,\ r-,\


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ItJ"O.6

1.0 .:~ 180~OOJ \/ e .r \/ \/ \V \/ ~/ \/ \II "V " I I I , I I I I I , , \

0.9

0.8

0.70.6

0.4

0.3

0.2

o .0.000

ANGLE O F W INO APPROACH , 6w

F I G U R E S . L a t er a l w i n d f o rc e c oe f f i c i e n tC C y w ) .b a s e d o n r e f e r e n c e (1).

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D et er mi ne w in d y aw mome n t c oefficien t (C x y w ) fr om fi gu re 6.S tep 15Cal cu Late longitudinal wine f'or ce :o r f x w = 0 . 0 0 3 3 8 . C x w . V w

2 . A eF x w = 0 . 1 6 1 8 . C x w . V w 2 . A e

S tep 1 6

(lb) ( 1a)(N) ( 1b)

C alcu late later al win d f o r c e :Fyw 0 . 0 0 3 3 8 2 A s (lb) (2a); . Cyw . V wo rF y w = 0 . 1 6 1 8 . Cyw V 2 A s (N) (2b)w

S te D 17Ca~culate wi n d yaw ~omen t:

M . " , = 0.00338 C:~yw Ii 2 A L . r ~ L (ft-lb) ( 3a).\~ Sort - I " . , I = 0.1618 C x y w V . . . . A LWL (Nrn ) (38). s

C U R RE N T F OR C ES tep 1 8C al cula te the wetted surface:

S ;; 15.5 ~ A . LW LS = 2 . 5 8 8 . J ~ . L W L

Step 1 9D etermin e ra tio of wa ter dep th to dr aft ( W O / T ).S tep 20Determ in e l on gitudin al c urre n t ski n fri ctio n co effi cien t ( C xca ) fr omfi gure 1.Step 21D etermin e lateral c urre n t force co eCfi cien t ( e y e ) fro m fig ure 2.

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0.08

0.06

0.04

0.02

0.00

= - 0.04u"0.08

0.10

0.12

"0.14

- O~ 0V " 1 8 0 . ' ' J e . 0/ ~ 9w/ \V , _j_ 1 I j_ I _j_I\

I I

\' 1\ I\ /\ /\ /

~I t t t I f 1 l_ _l_

A N G L E O F W IN D A P P R O A C H leW

fIGURE 6. Wind yaw momen t coefficient (C xvw),based on reference (1).

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Step 22Calculate the longitudinal current force drag coefficient:

C x e b : ; C yc . C052 e cStep 2 3Determine current yaw moment coefficient (Cxyc) fr om fi gu re 3 .Step 2 4Calculate the longitudinal c ur re nt fo rc e:

fxc = 2.835 \J 2 B {C .. ~ _ S Lhl~ C xcb T) ( 1b).c "- 'l~.-....orfxc i35.95 V c 2 B (C xca S UIL C xCb T) un! -+ -

Step 2 5Calculate lateral current fcrce:

fye :; 2 . 8 3 5 Cyc V 2 LWL . TcorF 'ye = 1 3 5 . 9 5 . Cye V 2 LWL . Tc

Step 2 6Calculate current yaw moment:

M = 2 835' 2 2. . Cxye . Ve . LWL . TMe = 135.95 . Cxye . v e2 . LWL2 . Tor

T O T A L R E S I S T A N C E A N D Y A W M O M E N TStep 21

(lb)(N)

(ft-lb)( N m )

(4a)

(Sa)(Sb)

(6a)(6b)

Determine total lo ng it ud in al fo rc e a pp :ie d at i nt er se ct io n o f s hi p' saxes:

S tep 28Determin e total lateral force applied at in tersection of ship'~axes:

20

(7 )

(8)

~--'-- ..


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S tep 29D et er mi ne t ot al y a w moment:

M r = M w + M e - 0 . 4 8 . L W L . F x005-582-1-e. C A L C U L A T I O N O F M O O R I N G L I N E F O R C e S

(9 )

GeneralO n e solutio n to the moorin g problem uses a s~mplifi ed an alysis that considersthe moored ship as a syste m that has on ly two d~grees of freedom. figure 7illu strates the gen eral moo rin g lay out and n ome n clature u sed in thec al cu la ti on p ro ce du r e.C al culation S heet-2 (see ap pen dix D) is used to calculate the lin e forces of amoo red ship that is subjected to win d an d curren t forces actin g perpen dic ularto the ship!s cen terlin e at the C G. T he calcu lation s ar e based on thef ol lo wi n g a ss u mp ti on s :

o Y oun g's modulus of mo orin g lin es does n ot var y with lin e ten s ionforce s. (T he lin e sprin g coeffic ien ts are con st an t.)o M oorin g lin e arran gemen t is symmetr ical about the Y -axis.o Y aw momen t M r an d lateral force fy are appl ied at the cen te r of

gravity of the ship at a fix ed distan ce (X cg) from the forwardperpendicular.

D D S - 5 8 2 - 1 - e { 1 } S T E P - B Y - S T E P C A L C U L A T I O N P R O C E D U R E f O R M O O R I N G L I N E F O R C E ST he s tep-by-step proced ure use d i n C alculatio n S heet-2 is as follo ws:

S teps , - 6P repare a m oorin g a rra~ge~e~~ sho~in g l ocation s of moorin g lin es ,camels, bollards, an d moorin g choc ks; s pecify the coordin ates of t heChoc~ (Xch' Y ch' Zch) an d ballard (Xb1 , Y b1, Zbl) for eac h moorin glin e. (for prelimin ary an ~lysis purposes the design er may con su ltappen dix C to establish approxim ate n umber of lin es, lin e sizes, an dc a me l d im en s io n s.)S t ep 7D eter min e ho rizon tal projection (1i) for each moorin g lin e as shownin figure 7.

11 = ~{X C h - X b l)2 + (Y eh - Y bl)2

21

.-~--_ - _ - - _


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Step 8D eterm in e v erti cal lin e projecti on al on g Z-axi s.

6Zi :Zch - Z blS tep 9S pec ify total cros s-sectio n al n r ea (ai) of moor in g li n e as a pr oduc tof ro pe c ross-section ti mes n~mber of pa rts per li n e (n o rmall y threep arts per l in e).Step 10U sin g fi gure 8, s peci fy Y ou ng's modulus (Ei, for each lin e.Step 11D etermin e cos e i = (Y b1 - Ych) / 1 i for ea ch li n e (see figure 7 ).S tep 12D et er mi ne a ng le ~i in vertical pla n e.

i:: tan -1(6,Z/li)S teo 1 3Determine COS~i of each li~e.S tep i4S pecify the len g th of the lin e ~etw een the chock an d moo ri~g ~itts(10) S te D 15D eter mJn e to tal len gth of ea ch moo;i~g li n e (b i~ts to boll ard).

Li ::lo + 1i/os q > , , _S tep 1 6S pecify total b reak in g stren g th ( 8 S ) i of each l in e (see app en di x A )

(8S) ::(BS)r . (n u~b er of ~arts)where:(B S )r = brea kin g s tren gth o~ ren e.Step 17D eter min e sp ri~g c or.s tan t of eactl li n e in its p rin c ipal dir ecti on.

23


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-c~ 10'_'0 10'0~u--(J)


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Step 18D etermin e spring component (k y i ) of a li ne i n Y -d ire ct io n.

kyi :: Ki cos 8i COSiStep 19D etermin e term ( k yi ' X i ) where X i = X c h 'Step 20D e te r ml ' ne t e rm (k X .2)- Y l' 1 'Step 21P erform the followi~g summation s:

nb = " kyi . X chi~l

nc = L kyii= 1 . y 2"ch

nA s a check, n otice that the restorin g force f = 2 : r y i must be equal1 = 1in magnitude to the total extern al lateral force (ry)'

Step 22~pply ~otal extern al lateral force (Fy) and total yaw moment (Mr) toin tersection of the ship's axes at Xcg (see D D S - 5 8 2 - 1 - d ) .Step 2 3Calculate tran slation of ship's C C in Y -d:'rection ,

O y = [ F " y , c - (M, + Fy . leg) . b] / (ae - b2) (10)Step 2~C alculate rotation of ship about vertical axis.

' ) ' = [Fy . b - (M r + F " y Xcg) . a ] / (b2 - ac) (11)wher e X c g is the abscissa of the shi p ' s c a .

25


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S t e p 2 5F or each lin e calculate its force compon en t in Y -direction.

Fy i = K yi ( 6 y + XCh . ' " Y )S t e p 2 6O btain lin e ten sion fo rces.

T i : : F yi /(co s 8i .co/I \ )S tep 27D ete rmin e fact or of sa fety for each moor:n g li ~e.

FS = (BS) / T1I f the fac tor of s afety of on e 0,more lin es is less than 9.0 (for n ormalwea ther con dition ) or 3.0 (fo r heavy weather con ditio n ) on e or more of thefollowin g acti on s must be taken to obtai n adequa te moori n g arran gemen ~:

(a) S lackin g of the o verstressed lin e{s) (reduci n g sprin g con stan ts).(b) Shiftin g of moori n g lin es to differen t bollards or moo rin g chocks.(e) I n crea sin g the n umber of lin es.(d) I n creasin g the rop e sizes.

DDS-582-1-f. M O O R I N G E QU I P M E N TGe n e ralThe size of moorin g equipmen t selected is prima~ily a fun ction of the size,brea kin g stren gth, an d len gth of the moorin g lin es.figure3 9 an d 1 0 illu~trate a ~y p i c a l l a y o u t of ~oorin g equipmen t used On Navys ur fa ce s hi ps .

D D S - 582-1-f(1) L A Y O U T O F M O O R I N G ~I N E SF igure 11 presen ts two basic moorin g arran gemen ts, on e for n ormal weathercon d ition s an d the other for heavy weather con ditio n s. M oorin g li n es thatten d forward (or aft) are call ed forward (or a fter) sprin g lin e sj those thatten d abeam are ca lled bre ast lin es. M oori n g lin es are al so referred to asbow, stern , or quarter lin es depen din g on their loc ation on the ship. Abreast lin e amidships is called a waist breast.The overall moorin g l in e pattern a ffects the load distribution to in d ividuallin es. The effectiven ess of a moorin g l in e is i nfluen ced by its slope (ttatis, the vertical an gle {~i) formed by the l in e with the pier deck), an d by

.-~26


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tIt (1)I- -D atil .:.: 0"> ...0 ~ N CO 0 lJ\ Q'>C .- N M =r . . . .) (- coQ)c,~ Q)III a.0QO t.,c 0 0 0 0 0 0 0 0. . . . . . . . . 0 o~0 0 0 0 00.;;,: 0 .o 0U =r 0 0 0 0 0ro -1 - . . - . . . . . .Q) N r- =r .:r 0 t- O 0t.. N M U "\ t- .- Mt- OC Q .- .- .- N

NM=r 1 . / ' 1 '-D '-D In co~ lI'\ 0 U " I 0 U 0 e- O~ - NNMM =r .:r I J " ' >0 1 1 10 N. . c -uU) .c IJ) CO 0N ::;T >.D CO 0. . . . .- . . . . .- .- .- N

CI..oc. _III. . : . :< .Jo. . cu

< l! IIJ 1 1 1 . . .. .< .J ro Q) Q) .c: 0t . . . . . c : .c: ~0 w .u . . . . -o'- a. til ~ c oQ) 0 Q) '- 0c C L 1:) . . . . 0 (5 :.,: . . . . .. . . . . C .D < .J . i J_ _ . . , C (1j :::l U) "0 0 U cw '- 0 .o.J 0 . i J w . . c s, . . . . .(fj Q) . . . . IIJU '- ......0'" 0r o Q) .c I 'l l . .. .. ~ a ..D . . c : C . i J 0 a . a . ill 0."0I I J . .. .. . . o. J a..c ::l . .. ..0 . . c ']: N a . i J a.u 3 ~ . . . . . c0 . . . . . .-..I r o e . . . I D e . . . r o U)Q) r-I . . . . . . :1 . .. .. . ; :J 0 Q.O ~. . . . . (l) . . . . . . ~ g.c 0 -e . . . . ..D .-..I 0 Q) t . Q) c :c o ..... 4.. UI UI . . . . c : c o ,U. . . . c o ;:J .....00c: . . . .u c ot..-1 .!J: ...... CO ......I)0 r o - t.. C J: : : I 0 1 > . . . . . . t . . . c ' O~ 0.1 c 8 oo.'->'Q)":>Q.J. . c .. c .u c .........oo fII) .u 0') uQJ IIJ C3.....I D Q) C '0 III 4..Q) a.. . . . U) '00 Q) . . . . . 00000a. c...e 3: c : I I J r oz .& I.u 00 Q) '0.... Q) Q) r-I0 " " _ C : ~ N . . c l O ' )I I J Q) I I J . D Q J r o . . . .,U '0.....0 I.. Q) III Q) tI) r-I C. . . . . - . . . . "o ......... t . 1 1 1 . . . . . .3r a . . c ' O (tI.CI"O>roO.c1lJ II) c : .... d J.8 ..c o.tI),U .... .. . . . . . . . c : 3 .... 1/ 11-4.. o .....III 8: . : : r o III . : . : c N e . . . . .:.:0 :1 o 3: . . . . . . . . o . c o 00 .coo o 0 t . C Q) (.) 0.c:.uc . c o c o a . c . . c ou r o r o U I I J . c E 1 /1 .. .. . (.)(('132


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4) -.D \J"'I II'I M II'I.I.l ~ M 0- ;:;t ...0 (j\ttI.I.l . . . . C'\I M6..1:. . . . . t I O :.: . . . . .a 4)I.. 3: 2 0 0 0 0a. .0 .- N co t-c, . . . . . NM 1,/"\ 00C I!S .- M ...0 co ~0- eo ;:;t M .-.- N M ;:;t 1,/"\

t & . . N co c o ;:;t ;:;t< . . . . . . . . . . . . . . . . . . . . . . . . :. u"p o ~Il Z . . .Il , .!- 0 III. 0. . . . .." . . .0" . .w . . .1/... ...... ..~ . . .Iil0. ..' " ' .... 4 . . ...

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4)a..0l-cQ.) 0s: . . . ..oJ 6 -.) ~Q . I < o . . . . . . , < 0 . . . C.J;: < I : J 0 < 1 . l I-. . . . , fI l .. .. E 0..I: c, II) 0 < : . . . .

< 0 . . . II) E0 til Q) c v :II4) til I- 3 ~....,E (II .oJ . . . . ,0....0 Ul E . . . . .:3.oJ . . . . . ~"8Q. )~ ""C : O.oJ e t>O.o tI O c0 o e . . . . . . . . .:z e 4) < U O'l N 3:I.....c: 4) t: ttl~ t ; . . . . , "0 . . . . I.... . . . . . . CI6 4.. 4) .0. . . . . bOO '" -I til:w : c til 0...~ . . . . . . . . . . 0' : ' : . . 1 : II') 0 ::r.ttl tlO .oJ 0 tilQ.) Q) .... . . . , ; :>-t: I... 4) . . . . . zr ' < X :. o . . . c : o:l N :z

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Q .! I , .:::T "" I"- ..0 :: r NMM ~ I"-0. O"tJ"IO" C-N --If\ - c-o NMM ;;:t .;:- 1,(\..a..a c o 0-~.j..).c> < tl O0...~ Q .!Q.:;J: COCO.o 01,(\ CONO CO #Q. .c# I"- I"- tl"IM N 1,(\::r 0- ar.0- ..a..a ...0...0 ..a ..a -.DNNN r-- e- r-- to- r- t- I"-~~~~ \.0 ...0 \.0 \.0 -o ..0 ...0. . . . . - -.- . . . . . .- . . . .o:l

'NNN \.0 1..0 ..c..c < s 1..0 ..cI'!: r - - - r-- r-- ..c ..c ..0 ..0 \.0 >. D -.0. . . . . .NNN ~ :;r \ .I 'I \ .I 'I 1,(\ M 0

~...o\'o>.D > .D > .D ...0 > .D > .D ~ r-r- r - - - I"- COO:) 0'0'0"> .- N. . . . . . .< : l I :

COOO ~:r 0:) c o co 1,(\ 0. . . . . . MMM MM MM


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~ ~ 000 t- t-N0. NN(\j C 1\ C1\N0 NNN MMLrI" '~.c> C t I O0"1"1to ~8;3 LrI t.t'\ t.t'\ Il'\ t.t'\O.0 cocoee t- t-Il'\G: : r-I;:f" ;:f" . : : r CO co-.-

>. J J 000 N N OUl J,{'I U'\ U"'I r- 1-0Ul . - - - . . . . . -N1'I l~ . s : : : .x 000...~ < 3 . 10.3 000 0 00a. .c Mr"""oM CO CO . : : r- = : -< MMM M M -= rMMfV'I 000MMM . . . . . . . . . . .l.l'\ tJ"\ ll'\ \,0 ...0


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D05-582-1-[(1) CA PST AN HEAD ST he barrel diameter an d barrel height of capstan heads for n ylon ropes aredetermined f r o m t able V .

O DS -58 2- 1-f{8 ) fA IR LE AD ER Sfairleaders are used to lead moorin g lin es aroun d obstruction s an d provideproper align men t with win ches or capstan s. rairleaders are located toaccommodate lin es from both sides of the ship.

D D S - S 8 2 - 1 - g . C A P S T A N P O W E R R E Q U I R E M E ~ T'the two common ly used powerin g systems for capstan s are (a) direct-connectedelectric motor dr~ves (also called electromechan ical drives) an d (b)electrohydraulic drives. The advantage of electrohydraulic systems is thatthey permit fin er con trol of warpin g speed.F or prelimin ary design purposes, a step-by-step procedure presen ted inC alculation Sheet-3 is used to determin e berthin g line force an d requiredcapstan power. The procedure con sists of the first 12 of the followin g stepsfor all capstan s, plus steps 1 3 an d 1 4 for electromechan ical capstan s or steps1 3 , 1 5 , an d 1 6 fo r e le ct ro hy dr au li c c ap st an s.

Step 1S pecify the shi~'s waterlin e len gth (LWL).Step 2S pec ify draft (T).Step 3C alculate lateral prOjected wi~d area ( A s ) .Step 4S pecify lateral win d speed (V w) in knots perpen dicular to ship'scen terlin e (for win d not specified assume 15 kn ot s).Step 5S pecify capstan low lin e-warpin g speed (Vcp) in m!min or fe/min.Step 6Calculate lateral berthin g speed ( V b ) in kn ot s.S tep 7S pecify n umber of capstan s used durin g the berthin g operation.

3 6


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~d l . t : E~ Lt'I 0 \,Q . : : : r sr M .-a . a o \.() '" 0 III C O MCO0 .... .- - - ('\J NNM ML. QJ. t :C0 a...... 1 '0 1.(\ U "\ .- 0 N .- 0>'1.. C z 3: . . . . lJ"\ >.Q t- eo 0 .- M \J ' \.- - .- .-

~~ 0 o.D < : r > . ~ 0M-- O M e- .- ~ .-. . . . . . . . .- .- oN N N MM . : : : rQJ.cs, t>!I~ . . . .< ' I l QJc:a.c - = - r- .- =r CO N IJ'\ {J. . . . . . . IJ"\ " ' " eo e- 0 C\l M \.0, . . . . . .- .- .-

;::r 0- = = - C\ l e- N t- Oc \ . O ~ 0\ .- ('IJ ~ lJ"\ 0e .- .- .- . . . . .-c;l

I .I 'I .- e- - ~ 0 ~ N If)C .. . . . . . NMM =r U"I U" I > . . 0 t-~~ 1.(\ o . C > t- e e 0 "1 0N0 \.0 N CO =r .- MNMM =r ~ U" I '-0 t-

~. \.0 0~ en N \.0 0 COC . .. . . . . 0- N =r -.0 0" - . . . =r CO.- .- .- 0- NN N

-r ...... U" I .- I"- M0 ,-e "la.L ~tlOol:IC< ' I l. . . ,Ula.< ' I lUM0M0\0coI0\.0Nttl~C. . . .:);r o!..CV}c... . . . .:l:ttl>4Z. . . . . . .CO

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -


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S tep 8C al cu late wi nd fo rc e p er pen di cu lar to s hi p' s c en te rl in e.Step 9B ased on e ; g O degrees, determin e lateral current force coefficient.Step 10Calculate lateral curren t force (F yc) from the following expression :

F yc ; C . V b 2 . L W L . Twhere C ; 1 4 . 8 f or d es t ro y er s ; C = 1 S.6 fo r a ux il ia ri es .Step 1 1D etermin e operatin g lin e pull per capstan , an d roun d to the n earestS OO -p ou nd m ul ti pl e.

P cp = ( F yw + fyc) / (number of capstan s)S tep 12

E L E C T R O M E C H A N I C A L D R I V E C A P S T A N ( S t e p s 1 through 1 4 )Step 1 3S pecify overall bearin g an d gear effic ien ey ( 1 7 g) If n ot available use0.85 for spur or helical gear drive an d 0.15 for worm gear drive.Step 1 4C alculate the required power.

E L E C T R O H Y D R A U L I C C A P S T A N (Steps 1 through 1 3 plus steps 1 5 an d 1 6 )Step 15S pecify combin ed hydraulic pump an d motor efficien cy (~h)' If notavailable use 0.80.S tep 16C alculate the required power of electrohydraulic capstan.

3 8


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D DS -582-1-h. BE R THIN G PI E R BO L LA RD S PA C IN GST he mooring arran gemen t must be optimized to fit the expected berthin gfacility. Bollard spacings for three differen t berthin g piers are as follows:

(a) Berthin g pier for destroyer (9 )L ow bitts altern ate with bollards at 22-meter (72-foat) intervals,and in termediate cleats are at 7.3-meter (24~foot) distan ces so thattwo cleats are between each bitt an d its neighborin g ballard.

(b) Berthin g pier for cruiser an d auxiliary (10)Standard ballards altern ate with in termediate cleats at l5.2-meter( 50- fo ot ) i nt er va ls .

(cl Berthin g pier for carrier {ll)In termediate bollards alternate with cleats at l8.3-meter (60-foot)intervals.

(9 ) Berthing Pier for Destroyer, N A V~A C D raw i n g 8009 1 - 1 29 3318(10) Berthing P ier for C ruiser an d A uxiliary, N A VF A C D rawin g 80091-1293320( 1 1 ) B erthing P ier for C arrier, N A V F A C D rawL n g 80091-1293319

39


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DDS-582-1-i. E X A M P L E . M O O R I N G A N A L Y S I S U S I N G THE C A L C U L A T I O N P R O C E D U R E

Required: To check the mooring equipment for a destroyer class ship thatis subjected to normal and heavy weather loading condition s. The ship isrestrained in 45-foot water depth to a destroyer berthing pier with 9 or6 doubled-up moorin g lin es, as shown in figure 11. Each doubled-up lin econsists of three parts of 5-inch double braided nylon rope. D etermin ethe required power for electrohydraullc capstan s, and establish the sizesof mooring chocks a n d bitts a n d hawser reels. Ship particulars for thedestroyer in the fully loaded condition are as listed. (See also figures8 through 11, and 12 through 20 at the en d of this example.)

Displacement, l:l = 3,350 long tonsL W L = 3 83 ftBeam = 41.1 ftDraft = 14 ftCa lc ul ated pro jected la teral win d area, As = 9,100 ftZShip C G abscissa, X cg :: 190 ft

To establ is h mo or ing arran-gement, additional data are used (see figure 7)Pier level (above M W D ) :: 8 ftMean water depth ( M W D ) :: 4 5 ftC amel width :: 4 ft

Solution : Using the calculation procedure (system with Z degreesof freedom) two mooring arran gemen ts are in vestigated:(a) N i n e doubled-up mooring lines used for heavy weather condition(b) S ix doubled-up mooring lin es used for n ormal weather con dition

The mooring analysis is based on the following assamption s:o Both moorin g arrangemen ts are elastically symmetrical about theY-axis.o The a2 erage Y oung's modulus of the given nylon rope is 200,000lb/in and does n ot vary with lin e tension. The breakingstren gth of the rope is 73,000 poun ds (appendix A) or 219,000pounds per line.

( c o n t i n u e d )

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(A) Win d and current forces(a) Heavy weather condition (50-kt wind and 3-kt current)

By Calculation Sheet-1 (see figures 12 an d 13) the win d andcurrent forces and momen ts for the heavy weather condition arefound to be as follows:Fyw = 7 6 , 8 9 5 lb F'xw : 0Fyc = 153,230 I b F ' x c = 0

~ = -971,880 ft-lbM e : -1,048,000 ft-IbTotal ext ern al forc es are:Fy : 230,120 ft-IbFx ; 0M r = -2,019,900 ft-lb

(b) Normal weather condition (25-kt wind and l-kt current)T he wind an d _current forces an d moments for the normal weathercon dition are deduced from the calculated values for the heavyw ea the r c on di ti on by proportion ation of squares:Fyw = 76,895 x (25/50)2 = 19,224 I bF yc : 1 5 3 , 2 3 6 ( 1 / 3 ) 2 = 17,026 lb~ = - 971 ,8 80 {2 5/5 0) 2 = -242,970 f t - I bM e ~ -,,048,000 (1/3)2 ; -116,~40 ft-IbTotal e x t e r n a l f o r c e s a r e :Fy = 19,224 + 17,026 = 36,250 I bMr = -242,9 70 - 116,440 = -359,~10 ft-:b

(B) Line forcesB y C alculation S heet-Z (see figures 14 through 19 ) the line forces forboth normal and heavy weather conditions are calculated. Results in dicatethat the factors of safety for moorin g lines for the heavy and n ormalweather con ditions exceed 3 an d 9 respectively, thus satisfying therequirements i n D DS 582-1-c. (continued)

I. j 1


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(C ) Moori ng E quipment(a) M oorin g C hO CK S

The 12-inch mooring chocks based on 5-inch nylon rope (BS = 13,000lb) were selected from table 1.(b) Mooring bitts

The 6-inch mooring bitts were determi ned (see table II) from themaximum bendin g moment, which is calculated as follows:M = 73,000 lb x 13 i~ches = 474,500 in -I b( Mo me nt a ll ow ed = 4 81 ,000 i n- lb .)

(c) Hawser ReelsType ~ horizon tal hawser reels (table III) were selected to store5-inch nylon rope i n lengths o f 100 fathoms.

(d) Capsta nB y Calculation Sheet-3, (figure 20) the lin e pull and requiredpower of-the electrohydraulic capstan are found to be a s fo ll ow s:

o Line pull = 1 0, 000 l b/ ca ps t ana Capstan power = 20 horsepower at 4 0 ftlmin line speed.

The capstan barrel diameter for 5-inch nylo n rope was determined to be 2 1i n ches (see table V l .


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CALCULATION SHEET-1W IND AND CURRENT FORCES

(inch-pound units)Sh ip: ruMPI ( h N ' t ' ; ' r o o ! b e c c n n d it i O fl )Ship particulars Value

1 Displacement, t : : . L T 3 3 5 02 L W L ft 3833 Drcft, T ft 144 Beam. B ft 41.15 End projected wind area, Ae ft2 --6 Side projected wind area, As ft2 91007 WInd speed. Vw kt 508 Current speed, Vc kt I 3Is ',\lind engle, e 'N degrees\ 9010 Corr er t c ....ce c : deqr .nc: I 90e L_\. LJ .... ' J ........c __ 1r__ _____1 i \ V' t d -, " '-. ft 45,0 er eptn, a:-- ~ .. . --- - - -

VJind force12 Cxw (see figure 4) 013 Cyw (see figure 5) 1.014 CXYN (see figure 6) (- )0.03315 fx w = 0.00336 x @ x (0)2 X il l Ib 016 Fyw = 0.00338 x @ x ((2))2 X e D Ib 76,89517 M w = 0.00338 x @ x (Q))2 x x 0 ft-Ib ( - ) 97 1 ,8 80

From DDS 582-1

fIGURE 12. Examc 1e of ',./ind 3:lj eli ~""'~i t_.force cal CL! ,;'\tl ens f'o rhea'lv ...83t h'"r ' cord ~':.ic:~.


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.'

CALCULATION SHEET-1 (con tin ued )W IND AND CURRENT FORCES(inch-pound units)

Ship: fXAYlf (h eo4 ' , ! O t h e r t o n d jl : 0 0 )

Curren t force Value18 Wetted surface, S = 15.5 - J ( J ) x C D ft2 17.5571 9 Water depth/draft, oo/T =@/0 3.212 0 e xeo (see figure 1) 021 eye (see figure 2) I

1.1222 Cxcb =@x cos2 8c 0I (see f:gure 3) r- )0.023 Cxyc

2 . . : - IF x c = 2.5.35 x(D)2 G Y @ R '0 p. ~.J Ib 0"I t' x C '/ : '~'- ' 'X\2.J, ~ .~/. -....:..,.' . 'b ~II ir':"""

25 Fyc = 2.835 x@x (@) 2xG)xQ) Ib 153,230,1I = 2.835 x @ h < C @ ) 2 x C D 2 x C D { - ) 1 .0 4 8 ,0 0 026 I Me f~-IbTo t o l forces

2 7 Total longitudinal force, F x =@+@ Ib 028 Totol later ai force, F y =@+@ Ib 230.12029 ! Totcl y aw moment, Mr = @)+@- C.48 x (Dx@ f t+lb ( ~ ) 2 ,0 1 9 ,9 0 0From DDS 582-1

FiGU8E 13. E xamp}e of wind and current force c21culations forhea vy w eather.con d iiio n (c on t in ue o),

44


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. 9 -..cif)NIf- (j)W wW oI 0::0if) L LZ WZ0:Jf- o z_ -a : :~ 0U0_ 2U o'c. . . . .G): : : ; ; :

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oDN 0 : : : ) < : ; : ) 0 : : : ) (;) 0 : : : ) < : ; : )Dc:W 0.. 0- ~ ~ < : ; : ) < : ; : ) 0 < : ; : )(.!),. . . . . , C \I C \I ~ ~.....,.D-Nt'!e .- E ......... OE . g (Q


47/73

~-0(J) Q._::l .cC !,I)+-'C0o (.f) 1.nIs:ucVI+C::J

.-....,'+-UJ l _ j - E e- , e o ~ c o C O ' ) ~6- ~ It) t'\l C O ) C o. . . . . . . . . - ~ C \t I .() 0) ~ c ou zo ~ Iri . . . . : c :) III oj.xo t\l_ 0 C O ' ) C \l ~ t\l C O ' ).x . . . .'-'".-....0. . - . . . . . . . . . . zo 0) 0) 0) 0) 0) 0)(j') . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .tn ..::LO t \ J : t\l C\! C \ l t\J: C \l. . _ _ , . 0. . . .. . . . . . . .e ! C') c . . . . . c c-, ~ . - - . . . c o - ~ C \l c o t-,+ E':: 0) I.() r-, ('r') - c o -..J < : . 0 ~ I t . i 0) r - . . : cC o ) ~ I.() C \l ~ c- ,

1 \ I-...J@ 0 ,,-.. c o c o c o 0l c o c o..." E:t ---"' , ;0) - ;:') sc t-.. 1 . . ' : )- _ I..'} /:'-. to sc to c o ~ c o C o ) c 0) 0} z- ,. . ~ t-, 0') 0') 0) 0)0}) I , C'l 0') 0) 0) 0)c -

; I

eleI . . . . . .~ . . ~ t-.. . . . . . . . C ~ 0)) It) I II c o to < " : l C \l 0)c . .. - - C \l c o to l()-0 " e o ; c o. . . . . . "1J 0 "qo ~ r- ,'- , C \l "- r . . : . . . . : . . . . : t > ?II I""- \ l I I& 'I \ i !_t,_'--- I ,e I , I1


48/73

.-+-'Coo


49/73

NIt- e nW wW o:r: a : : :0(f) u..Zwz- :> ~l-0 0U0_J :EU

. . . - . . OON a a a a a a a a ac~r D . . . 0- a 0 0 a a 0 0 0 at : l _ ' C \I C \l C \l t\! ~ C \l t\ 1 C \I C \I'-".D-NNe 0 E c to to to to to to to to toE . : . : : . ..DNe I ..-.. C \I 0 l() 1.0 It') It') 1..')II .c E u E~ - C\j: t o - . . : - - C\j:0 > -o ._.. . . . .

. . : , , : .I.I: 0 to c o I C c o 0 ~ 0 ~0 e ,-..._ . . . . 1 r-, - It') Ol toE:::: C r : l to.I: X C") C r : l t";l t";l C \IU '--

III . 00 ~ N n "< t t!) ill r - - . . c o e n .-:.JZ

. 9 -.cV>

.DI. . . .oc

4 8

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~INc oLl)IJ') 00 ~0 . . . . .E ~0 0, _ ou, ," ' 1~I. . _ ,~oJ:

:: -:'l


50/73

C ' \ l1t-WWI(f)zor - -_j::>u_j


51/73

NI~wWIif)zo~_j~U_ju

oc :

o. . . .i-I ....0 ' J 1 l ' -to ~c t i C \j

- C \ !

\ 1 {fJou.D .s rII

50

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01\t::i

Eco1:1e. . . .

1 1ooX U>0u,+'- N~.DI_ C ; I Iu . . . ~

II~,-.,.E.I-'--.,..0 ooooo '-'O - : : : - E..- -. . _ , . . . _ , .3 E ~

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- _

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52/73

CALCULATION SHEET-3CAPSTAN DESIGN

Units: Inch-Ib _ V . . :: . .. . _ _ _ Metric Ship: EXAMPLEP R O C E D U R E Value

m (ft) 383m (tt) 14

m2 (tt2) 9100knots 15

(ft/min) 40knots 0. 4

2N(!e) 6920.6

14.8N ( 1 0 ) 12.697N (10) 9808.8

0.95

1 L W L2 Draft, T3 Side projected wind area, Asr - - - + - - - - - - - - - - - - - - - - - - - - - - - ~ - - - - - - - - - - - - - - - - - - - - - - - - - - + _ - - - - - - ~

8Dro.; Coeffi,ie"t

Dsstroye-sAUJ..:!io~:es

N' kt-2 m -' (:b-k\ -2 - f:- : t )709 H.8747 15.6

4 Wind speed at 90 degrees to ship's keel, V w5 Copstcn warping line speed, Vcp m/min6 Ship's lateral berthing s p . eed, Vb= fs\ (m/m!n)/JO\::V (ft/mln)/'OO7 Number of capstans

Lateral wind f orce, Fyw= 0.1618 xC)2xQ)Lateral wind force, F y i ' ' ' = O.00338x C D 2x Q)~ . _ ~ - - - - - - - - - L ~ - - - - - - - - - - ~ - - - = - - - - - - - - - - - - - - + _ - - - - - - ~

10 :"otercl cur ren t r eslst once, F xc = x 2 x C D x C D11 Capstan line pull, Pcp = [ +@J /(])12 Ccp st on head efficiency, T J e

Elect ro rnechcn.c ol capstcn

0.7516 II p @x(5)V iower - 60 x ( 1 2 ) x O J ' , x (S ) 19.6

From DDS 582-1

F1GURE 20. ExamDle of calculation of recuir'(">cj C~lDs:3n po~;er.

51

-------------------__


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005- 582-1-1 . B IB LI OGR AP HYReferences cited passim in preceding paragraphs are consolidated in a singleli sting here.(1) Mooring Design Physical and Empirical Data, D esign Manual 26.6.Department of the Navy, Naval Facilities E ngineering Command, March 1982.(2) Fiber Ropes; Natural and S ynthetic, Naval Ships' Technical Manual,Chapter 9280, NAVSHIPS 0901-280-0001, 1967.(3) P anama Canal Corr~ission, 9. Marine Director's Notice to Shipping N o. 9-81, March 6, ,981 .(4) Chocks for N ylon Rope, N AVSHIP S Drawin g 805-1843363.(S) Bitts for Nylon Rope, NAVSHIPS Drawing 805-1843362.(6) Vertical Hawser Reels for Manila Rope, NAVSHIPS Drawin g 52604-921842.(1) Horizontal Hawser Reels for Man ila Rope, NA VSHIPS Drawin g 52604-921841.(8) Capstan & Gypsy Heads , NAVSH IPS D ra~ing S 2601-860303.(9 ) Berthing Pier for Destroyer, NAVFA C Drawin g 80091-1293318.(10} Berthing P ier for Cruiser & A ux il ia ry , N AV FA C D ra wi ng 8009 1-129 3320.( 1 1 ) Berthi ng Pier'for Carri er, N A V f A C D r a ~i n g 8 009 1 -1 2 93 31 9 .

D DS-582-1-k. ADDIT IONAL REFERE NCE M ATERIAL(1) Design Manual, Harbor and. C oastal Facilities, NAVDOC KS DM-26. Departmentof the N avy, Naval Facilities Engineering Comman d, July 1968.(2 ) General Specifications for Ships of the U.S. Navy , Section 532.(3) Mode,n Prac tice ih M ooring of Ships, M'. . lOCh, w . SN."~E. Octobe r 1955.(4 ) P r i n c ipIes of Naval Arch ite c t u r e . S~JA:-IE, 1967.(5) R eview of Synthetic Fiber Ropes; Paul, Walter. Nat~onal Data B uoyDepartment ~rOject, U.S. Coast Guard, August 1970.(6) Hydrodynamics in Ship Design. SNAME , 1957.(7) Mooring of Surface Vessels to Piers, Chernjawski, M. Marine T echnology,SNAKE, January 1980.(8) Ship Design an d Construction, SNAME, 1980.

52

------~ ..- .-~.--.--~


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D)S-582-~-1f t . ? P E N D I X A

L I S T S O F S Y N T H E T I C R O P E S A N D T H E I R B R E A K I N G S T R E N G T H

Three-strand nylon rope 5ijPlai ted ny Ion 55Double bra ided n y I o n r op e , ............................. 56Plaited con tin uous polyester fi!ane~t withstaple wrap 51Three-strand polyester 57Three-strand polyropylen e '" .. , 58Double braided polyester filame~t w~thstaple wrap , 58Three-strand dual fiber 59Plaited dual fiber 59

53


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T ~R EE -S TR ~N D N YL ON ROPEMIL-R-17343

Circumference B re akin g strength Standard le n gth ...N S Ninches r n m ib kN feet m(4020-00-)5/8 16 950 4.20 700 213 51j1-7075*5/8 16 950 1.l.20 1200 36 5 263-3483*5/8 16 950 4.20 2250 685 701-30445/8 16 950 4.20 2250 685 242-4083*5/8 16 950 4.20 100 30 270-8245*3/4 19 1,500 6.65 2250 68 5 618-02613/4 1 9 1,500 6.65 900 274 523-91+613/ 4 19 1,500 6 . 6 5 600 182 542-2523*3/4 19 1,500 6.65 200 61 929-0058*1 25 2,600 11.55 2250 685 641-8898

25 2.600 11.55 42 12 593-9584i/8 29 3.300 14.65 1620 493 842-2431*1 1/8 29 3,300 14.65 1620 493 641-88991/1j 32 4,800 21.35 1200 365 753-2886: / U 32 4,800 21.35 50 15 530-2701~.I~ 38 5,500 25.80 121)1.1 365 6111-8900'/2 33 5,800 25.50 3 \ \1 ) 91 7!.1-315~3/!i 4i; 7,600 33.8\! 1200 365 560-77322 51 9,800 43.60 1200 365 753-28872 1/ll 57 13,200 58.70 125 3 8 585-2530

2 1/, 64 15,300 68.05 1200 365 753-28882 3/4 70 19,000 84.50 1200 365 174-12313 76 23,200 103.20 1200 36 5 752-8878'3 1/2 89 32,000 142.30 1200 3 6 5 174-12321 : 102 41,300 183.70 600 182 752-8879i. 1 1;': 111l 50,000 222.40 600 182 S1l2-33065 127 60,000 266.90 600 182 752-88805 1/2 1110 72,000 320.25 600 182 542-33076 152 90,000 400.35 600 182 51l2-33086 1/2 165 100,000 444.82 600 182 843-6306

7 178 127,000 561l.90 600 182 752-88818 203 164,000 729.50 720 219 752-88928 203 164,000 729.50 600 182 892-40289 229 209.000 9 2 9 . 6 5 600 182 842-746810 251l 265,000 1178.75 600 ~82 843-6307

* A n a st er is k in dicates an N S N :or ('Ir. icn ar a lt er ~~~ iv e ( no na st cr is ke d) NSNpertaining to the same rope s i z ~ may be s u b s ~ l t u t c : when t h e order isfilled.5 4


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P L A I - : - : : c . l N Y L O NMIL-R-24337

C i r c u m f e r e n c e B re ak i n g s tr en gt h S t a n d a r d l e n g t h N S Ni n c h e s n u n Ib k N f e e t m (4020-00-)3 /4 19 1,500 6.70 2250 68 5 106-93841 25 2,400 10.70 2250 685 106-93881/8 29 3.300 14.70 1620 494 106-93891/4 32 4,800 21.40 1200 36 5 106-93901 1/2 38 6,200 27.60 1200 365 106-9391

1 3/4 44 7,100 34.30 1200 36 5 106-93922 51 10,000 Ll4.50 1200 365 106-93932 1/4 57 ~3,800 61. Lrl 1200 365 106-939W2 1/2 64 16,000 7 1 .2 ( : 1200 36 5 106-93952 3 i 4 70 19,000 ;~ 1- ~- 1200 365 1':"6-9396....ji)~ 76 25,000 ~ 1 1 .2;:1 1200 3 6 3 10t-93j7)-, 1,'2 89 33,000 1 - " 6 . 3 C I 1200 363 l e E - 9 3 9 83 J/4 92 38,000 lc'1.(I(J 600 182 1i)6-93994 102 43,000 191.30 600 182 106-91644 1/2 114 50,000 222,1;0 600 182 10-9400': i 127 60,000 2 6 6 . 9 0 600 182 lC6-9~oJ :5 1/2 140 75,000 333.60 600 182 106-926 16 152 86,000 382.50 600 182 106-92936 1/2 165 98,000 1135.90 600 182 106-93337 178 117,000 520.40 600 182 106-9334

7 1/2 191 134,000 596.10 600 182 106-93358 203 153,000 680.60 600 182 106-93369 229 192,000 854.10 600 182 106-933710 254 237,000 1054.20 600 182 106-93381 i 279 280,000 1245.50 500 152 106-9339,.~ 305 _ 31.15.000 1534.60 400 122 106-9340r: _

5 5


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D O U B L E B R A I D E D N Y L O N R O P EM I L - R - 2 4 0 5 0

Circwnference B re ak in g st re ng th Stan dard len gth N S Ninches m m lb kN feet m (4020-)3/4 19 1,700 7.55 600 182 00-106-93421 25 2,700 12.00 600 182 00-106-9341i/B 2 9 3,900 17.30 600 182 00-946-04361/4 32 5 , 1 0 0 22.-70 600 ~82 OD-926-tl5291 1/2 38 6,900 30.70 600 '82 00-106-93[:, 3 /4 44 9,00(' UO.0


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P L A I T E D C O N T I N U O U S P O L Y E S T E R ~ I L A M E N T W I T H S T A P L E W R A P M I L - R - 2 4 5 3 7

C ircumfere n ceinches m m

B ~e ak in g s tr en gt hlb kN

3 / 4 191 2 51 1/ 8 291/4 3 2

1 1i2 3 8

2 , 0 8 02 , 9 8 03 , 9 1 05,0506,400; /2 3 8~/2 38i 2 3 83 / " 1 1 42 51

6,4006,110')6. ",:.,)8, 1009,9(1)2 1,"4 5 72 1/2 64? 3/ 4 703 76

"3 76'3 76r 1/). 8 33 1/':: 89") 3/4 9 2

J~ 102i' 112 114

12.20014.5(1)16,7(lIj1 . 9 , 0 0 019,0001 9 , 0 0 022,00025,00027.50030,7003 7 , 0 0 0

9.30~3.30~;7.7022."5028. Srj~'s.5028.5023 .5()3(;.0('44.0(, '5il.3064.6074.3084.5084.5084.5097.901 , ~ .20122.30136.60161l.60

Standard lengthfeet m225022501 6201 2 0 040080012002001200120012001200120040060012002001200600600600

68568 54 933651222443 6 56 13653653 6 53 6 536 512218236 56136 5182182182

T H R E E - S T R A N D P O L Y E S T E R HIL-R-30500

C ircumfere n ceinches mm

B re ak in g s tr cn gt ~k t - J

5/8 165/8 163 /4 191 251 251/11 321/ 2 383 76- 4 102

8 008(jO1,2002,5002,5003,8005,00018.50031,000

3.603' .605.3011 .1011,1016.9022.2082.30137.90

feetSt3ndard le:,wth

m

2700 82350 152250 6852 1 1 72 2 5 0 6 8 51200 3651200 36 51200 365600 182

N S N( 4 0 2 0 - 0 1 - )029-2778028-3842028-3825028-3828028-3826028-3829028-3830028-38 1.3028-3839028-3831029-8661 1028-36320 28 - 3 8' 33028-3834028-3835028-3841028-3836028-3837028-38400 2 8 - 3 8 3 8028-3827

00-202-i3C:5*00-659-89230 0 - 5 3 6 - 3 4 7 6 *00-180-654801-041-07890 0 - 0 8 5 - 4 4 2 400-630-487300-142-611500-630-4875

* A n asterisk in d icates an N S N for w hich an altern at ive (n on aster isked) N S ~pertaining to the sa~e rope size may be subst it uted when the order isfilled.

57


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T H R E E - S T R A N D P O L Y P R O P Y L E N EM I L - R - 2 4 0 4 9

C ircumfere n ce B re akin g strength S t an d ard length N S Ninches m m lb k N feet m ( 4 0 2 0 - 0 0 - )3 / 4 1 9 1 , 0 0 0 L l . 4 5 2 2 5 0 6 8 5 9 9 9 - 3 B 9 l l1 25 1 , 7 0 0 7.55 goo 274 5 3 0 - 0 6 9 825 1,700 7.55 210 6 :1 499-75291 l f 2 3 8 3,700 1 E . 4 5 50 1 5 874-79201 1/2 3 8 3,700 1E.45 600 12:: 968-', 3522 1 f 4 57 7,000 31,15 200 6: 874-7921

2 1 f 4 57 7,000 31. 15 6 ' _ ' } J 182 968-'3543 76 "3.000 57.80 600 182 968-~355

D O U B L E B R A ID E D P O L Y E ST E R F I L A M E N T W I T H S T A P L E W R ~ PMIL-R-24536

~:i r cumf er ence Breaking streq;tr: St.andad l e n g t h t J S Ninches mm ' _ k N ree~ m (4C 20-01-).D3 ,'_ 19 i,700 7 -- 6(}':) 1 C ' . .. .. 028-3823" , . ']:> ; . . . . ;.;..:1 2 5 2,600 i1.55 600 182 028-3824

1 1/8 29 3,600 iE:. C , , - : _ o 600 i82 029-2775l f l ; 32 1l,700 20.90 600 182 028-38!.!:'1/2 38 6,000 26.70 600 182 028-452'61 3 f 4 44 7,900 35.15 600 182 028-45272 51 .10,000 44.50 600 18 2 028-:


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T H R E E - S T R A N D D U A L F I B E RM I L - R - 4 3 9 4 2

C i c u r n f e r e n c e B r e a k i n r s t r e n g t h S t . a n d a r d length N S Ni n c h e s m m ill k N feet m ( 4 0 2 0 - 0 1 - )3/4 19 1, ',30 5 . 0 0 2 2 5 0 6 8 5 0 3 6 - 6 8 1 91 2 5 1,710 7 . 6 0 2 2 5 0 6 8 5 0 3 6 - 6 8 2 01/8 2 9 2 , 4 3 0 1 0 . 8 0 1 6 0 0 4 8 7 0 3 7 - 6 2 9 01/2 3 8 3 , 9 6 0 1 7 . 6 0 1 2 0 0 3 6 5 0 3 6 - 6 2 9 12 5 1 5 , 7 6 0 2 5 . 6 0 1 2 0 0 3 6 5 0 3 7 - 6 2 9 22 1 1 1 1 57 7 , 5 6 0 3 3 . 6 0 1 2 0 0 3 6 5 0 3 7 - 6 2 9 3

P L A I T E D D U A L F I B E RM I L - R - 4 3 9 5 2

C l r cumrer ence i:lrcD.~:inz s: ..rcngth s::,::.j~!'C > ; : . ' 0 : ; til ~lSi"li n c h e s m m Ib ~:~J ~ .. .~~! . .. .. m ( 4 0 2 0 - 0 1 - )

1 1/8 2 9 2 , 4 3 0 1 0 . 8 0 1 6 0 0 L l 3 7 0 3 8 - 4 8 9 71 1/2 3 8 3 , 9 6 0 1 7 . 6 0 1 2 0 0 3 6 5 0 3 8 - 4 8 9 82 1/2 6 4 9 , 1 _ 8 0 4 0 . 8 5 1 2 0 0 3 6 5 - 0 3 8 - 4 8 9 9

59


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D D S - 5 8 2 - 1 - mA P P E N D I X B

C O N V E R S I O N T A B L E f O R H E T R I C U N I T S

60

---------- ..~. -~~-- -


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A P P E N D I X BC O N V E R S I O N T A B L E f O R M E T R I C U N I T S

To convert a quantity given in the units of the first column to the samequantity stated in the units of the third column , multiply by the factorlisted in the middle column.

To convert fromDegrees (of arc)

Do.RadiansFathomsFeetInchesSquare feetCubic feetPounds massLong tons massSlugs massPounds forceLong tons forcePounds force persquare inch

0 0 .Do. .F oot-poun ds force(energy)

F oot-poun ds force(torque or mome~t)Foot-:ong tons force(~orque or mome~t)HorsepowerFeet per minuteKnots

D o .

Multiply by0 . 0 1 7 4 5 3 3 radians

degreesradians

1 . 8 2 8 8 It0 . 3 0 4 8 It0 . 0 2 5 4 It0 . 0 9 2 9 0 3 It0 . 0 2 8 3 1 70 . 4 5 3 5 9 2 3 7 It1.016 047

1 4 . 5 9 44 . 4 4 8 2 2 29 . 9 6 4 06 . 8 9 4 7 5 76 . 8 9 4 7 5 7 x 10-6

metersmetersmeterss quare meter sc ub ic m et er skilogramsmetric tonskilogramsnewtonskilonewtonskilopascalskilone .....ons pers qu ar e m il li me te rgigapascalsjoules

6 . 8 9 4 7 5 7 x 1 0 - 61 . 3 5 5 8 1 81.355 818 newton-meters3.037 032 kilonewton-me~ers

0.745 700 kilowatts0.3048 It meters per minute

1 8 5 2 Itknotsmeters per hour

It Con version factors equal to unity or marked by an asteriS K are exact;others are a pproximate.

61


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D DS 582-1-nAPPE1DTX C

M I N I M U M N U M B E R O f L I N E SU S E D I N P R E L I M I N ~ R Y M O O R I N G A N A L Y S : S

62


64/73

A P P E N D I X CM I N I M U M N U M B E R O F L I N E S U S E D I N P R E L I M I N A R Y M O O R I N G A N A L Y S I S

In the preliminary design stage the following table may be used to preparea mooring li~e al'rangement for analysis purposes. All lines are presumed to bedoubled up, with three parts per line.

Number and size of CamelDisplacement mooring 1 . (heavy widthlnesShip type (long tons) w ea the r c on di ti on ) (feet)

2000 - 4000 Eight 5-inch 4Destr'oyers 4000 - 6000 ELght 6-inch 4

I 6000 - 8000 Nine 6-inch 4r - - - 8000 - 12000 Two 8 -i nc h. e ight 6i ::ruisers f - 1j 2- inchI 12000 16000 Fcur 8-inch, eight 6I - i c-l/2-inchI~-.--.I 15000 20000 F o u : a -i nC h, e i.g ht 6-! t,- ','2- inchI I I'\:niliad es ! 20000 25000 Four ?-inch, eie~~ o IL I. - Ii 6- ~/2-i;.chI

\ 25000 - 30000 four 9-inch, eight 67-inch

Minesweepers Six 5-inch --Tugs Six 5-inch _ -

63


65/73

D D S 5 8 2 - 1 - 0A P P E N D I X 0

B L A N K C A L C U L A T I O N S H E E T S-, Wi n d an d c urren t force s, foot-poun d un its- 1 Win d an d cur ren t for ces, met~ic un i ts- 2 M oorin g lin e force s- 3 Capstan de sign

64


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f

CALCULATION SH EET-1W IND AND CURRENT FORCES

(inch-pound units)Shtp: _

Ship particulars Value1 Displ ocem en t, l : : J . L T2 L W L ft3 Droft. T f t4 8eam, 8 ft5 End projected win d area, Ae ft26 Side projected wind area, As ft27 Wind speed, Vw kt8, Current speed, Vc kt9 i Wind angle, 8w degrees10 Current angle. 9c degrees11 Water depth, W D ft

Wind tor ce12 Cxw (see figure 4)13 Cyw (see figure 5)14 Cxyw (see figure 6)15 Fxw := 0.00338 x @ x (0)2 x !b16 F yw = 0.00338 x @ x (0)2 x Ib17 Mw := 0.00338 x @ x ( C D ) 2 x C D xeD ft-Ib

From DDS 582-165


67/73

CALCULATION SHEET -1 (continue d)WIND AND CURRENT FORCES(inch-pound units)Ship: _

Current force Value18 WeHed surfa ee, S = 15.5 - J ( j ) x C D f t 219 Water depth/draft, WO/T = /020 exea (see figure 1)21 Gye (see figure 2) I22 Cxeb =@ x eos2 Be23 : Cxye (see figure 3)_1-

t24 ! Fx c ~ 2.835 x (@ )2 x(I)[ x@/Q)+@ xG ) ] lbI25 Fye = 2.835 x@x (@)2 x (Dx@ lb

I25 i Me = 2.835 x@ x


68/73

C A L C U L A T I O N S H E E T - 1WIND AND CURRENT FORCES(metric units)Ship:

Ship particulars Value1 Displacement, D. metric tons, t2 L W L ~ m3 Draft, T m4 8eam, 8 m5 End projected wind area, Ae m26 Side projected wind area, As m27 '/lind speed, Vw kt8 Current .s peed , V c kt9 Wind angle, 8w degrees10 Current angle. 8e degrees11 Water depth, WD m

v V in d for ce--- -- - -12 Cxw (see figure 4)

13 Cy.N (see figure 5)14 Cx yw (see figure 6)15 Fxw = 0.1618 x @ x (CD) 2 x C D N16 Fyw = 0.1618 x @ x (CD) 2 x N17 M w = 0.1618 x x(Q))2x @x (}) Nvm

From DDS 5826}


69/73

CALCULATION SHEET -1 (continue d)WIND AND CURRENT FORCES(m e tric un its )Ship: ~

Curren t force Value18 Wetted surface, S = 2.588-V(J) x G) m219 Water depth/draft. WO/T =/020 exca (see figure 1)21 eyc (see figure 2)2 2 Cxcb = x cos 2 ee23 C xyc _(see figure 3)24 Fxc = 135.95 x(@)2 x(D[ x@/0+@ x@] N

25 Fyc = 135.95 X@x(@)2x(DxQ) Ni . .1 = 135.95 x@ x (@ )2 x Q)2 x Q) Nom26 I MeTotal forces

27 Total longitudinal force. Fx =@+@ N2 8 Total lateral force, F y =+ N29 Total yaw moment. Mr = @+@- 0.48 x(})x@ Nm

From DDS 582-168


70/73

... . 9 -. . . . c(f)N

J. _ U1W wW '-'I n : :0if) I.J_Z wz0:JJ= CI z_j-0 : : :::> 0()0_ ::;: -I

. c : :0> - f . . _ _ , .f

. . c : :0X. . . _ . . . III..:.-( 1 ) 1 . IQ) 8- E21 I I i-+-' ..0 i0 N


71/73

. ..,

~-0'0): : : JC.--+-'C0U U')


72/73

.-

zoi=_J::>(_)_J-co

..a.s:U')

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73/73

~.~ .CALCULA TfON SHEET-3

CAPSTAN DESIGNUnits: Inch-Ib ____ Metric _ Ship: _

PROCEDURE Value1 LWL m (ft)2 Draft, T m (ft):3 Side projected wind area, As m 2 (ft2)4 Wind speed at 90 degrees to shlp's keel, Vw knots5 Capstan warping line speed, Vep mjmin (ft/min)6 Ship's lateral berthing d V ~m /m l n 5 / 3 0 knotspee, b= ft/min /1007 Number of capstans1 Lateral w i n d force, F y w = 0.1618 x(D2x@ NLateral wind force, F y w = O.00338x C D 2x C D (lb)

Drag Coefficlen t Nkt-2m~2 (lb-kt~2 _ft~2)9 Destroyers 709 14.8AuxU1aries 747 15.610 Lateral current resistanc-e, F xc= x@2x(Dx('D N (lb)11 Capstan line pull, Pcp= [+@] l e D N (lb). .12 Capstan head efficiency, T J c

Electromechanical capstan13 Overall bearing and gear efficiency, T / g14 _ C l D x ( 5) _ ( G D x -(S ) )Power = 60 x 0 2 ) x 1~ watts - 33,000 x 02) x 0 3 ) (hp)Electrohydraulic capstan15 Efficlency of hydraulic pump & motor, TJhyi6 _ @x _( @x )Power - 60 x (12) xl1~ x U 5 ) W - 33,000 x-iji)x_G~x 05) (hp)

From DDS 582-172

dds 582-1 calculations for mooring systems (1)

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