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Pressure System Documentation-Calculations Title: Nitrogen Distribution System (79720-PS-104 & 79720- PS-105) Stress Analysis Note Number: 79720-P0002 Author(s): Connor Kaufmann Page 1 of 24 Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 1 Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis Revision History: Revision Date Released Description of Change NA Do Not Use Original release, Issued for Project use Draft Connor Kaufmann JLab Cryogenics Group Mechanical Engineer Nate Laverdure JLab Cryogenics Group Pressure Systems Design Authority Hongyu Bai SLAC Accelerator Directorate Cryogenics Integration Group Leader Mike Bevins JLAB Mechanical Engineering Cryogenics Plant Deputy CAM

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Page 1: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 1 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 1

Nitrogen Distribution System

(79720-PS-104 & 79720-PS-105)

Stress Analysis

Revision History:

Revision Date Released Description of Change

NA Do Not Use Original release, Issued for Project use

Draft

Connor Kaufmann

JLab Cryogenics Group

Mechanical Engineer

Nate Laverdure

JLab Cryogenics Group

Pressure Systems Design Authority

Hongyu Bai

SLAC Accelerator Directorate

Cryogenics Integration Group Leader

Mike Bevins

JLAB Mechanical Engineering

Cryogenics Plant Deputy CAM

Page 2: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 2 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 2

Table of Contents

1.0 Introduction ............................................................................................................................................ 3 2.0 Scope ...................................................................................................................................................... 3 3.0 Piping Design Parameters ...................................................................................................................... 7 4.0 Analysis.................................................................................................................................................. 9 5.0 Piping Evaluation ................................................................................................................................. 18 6.0 Flange Evaluation ................................................................................................................................ 21 7.0 Equipment Nozzle Evaluation ............................................................................................................. 21 8.0 Support Evaluation ............................................................................................................................... 22 9.0 Associated Analyses / Documents ....................................................................................................... 22 10.0 Summary / Conclusions ..................................................................................................................... 22 11.0 References .......................................................................................................................................... 22 Appendix A – AutoPIPE Models / Reports ................................................................................................ 24

Page 3: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 3 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 3

1.0 Introduction

The purpose of this Engineering Note is to document the analysis that was performed to ensure

the LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating

and occasional loads.

This report discusses the piping scope (Section 2), the piping design parameters (Section 3), the

basis of the analysis that was performed (Section 4), evaluation of the various piping system

components (Sections 5 through 8), associated analyses / documents (Section 9) and the

summary / conclusion (Section 10).

2.0 Scope

The scope of this analysis consists of the liquid Nitrogen (LN2) “fill line” piping that extends

from the tank farm external fill station to the storage Dewars as well as the “withdrawal line”

LN2 piping that travels from the storage Dewars to end use on the North Slab (upper cold boxes,

purifier, vaporizer etc.) The scope also includes the gaseous Nitrogen (GN2) distribution lines

which have outlets across the entire North Slab.

This scope is shown in Figures 1-4 and the drawings listed below.

Drawing

Number Drawing Title

Drawing

Revision

Drawing

Type

79720-2000 LCLSII LN2/GN2 Distribution System - P&ID

79720-2032 LN2 Intake and Distribution Piping

Arrangement - Piping

79720-0033 LN2 Intake Line Pipe Spool - Piping

79720-2044 LN2 Filling Port - Piping

79720-0034 LN2 Distribution Line Spool - Piping

79720-2400 GN2 Distribution Piping Arrangement - Piping

79720-2401 GN2 Vaporizer Spool - Piping

79720-2402 GN2 Distribution Spool - To Purifier - Piping

79720-2403 GN2 Purge Spool – ½ MNPT - Piping

79720-2404 GN2 Purge Spool – 1 MNPT - Piping

79720-2405 GN2 Pipe Header Spool - Piping

79720-2406 GN2 Distribution – To Inside CR1 - Piping

79720-2407 GN2 Distribution – To Outside CR1 - Piping

79720-2408 GN2 Distribution – To CBX Room East - Piping

79720-2409 GN2 Distribution – To CBX Room West - Piping

79720-2410 GN2 Distribution – To Outside CR2 - Piping

79720-2411 GN2 Distribution – To Inside CR2 - Piping

Page 4: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 4 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 4

Figure 1: Nitrogen Distribution System (LN2 Tank Farm Piping)

LN2 Storage Dewars

LN2 Fill Station

LN2 Fill Station

LN2 “Fill Line”

Page 5: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 5 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 5

Figure 2: Tank Farm Piping LN2 Fill Station

Figure 3: Tank Farm LN2 Piping Fill and Withdrawal Lines

Figure 4: North Slab LN2 Piping

LN2 Storage Dewars

LN2 “Withdrawal Line”

LN2 “Fill Line”

CP2 Cold Box

CP1 Cold Box

To Tank Farm

Vaporizer

Page 6: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 6 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 6

Figure 5: North Slab GN2 Piping

Figure 6: North Slab GN2 Outlets (Indoor and Outdoor)

Vaporizer

Page 7: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 7 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 7

3.0 Piping Design Parameters

All piping is designed in accordance with ASME B31.3 Process Piping, 2014 Edition [1] and

local requirements. These local requirements include the 2013 California Building Code (CBC)

[2], its reference standard ASCE 7-10 [3], the 2013 California Mechanical Code (CMC) [4] and

the Cryogenic Plant Seismic Design Criteria [5]. The vacuum jacket for the liquid Nitrogen line,

is technically excluded from B31.3 standards, however the code is applied whenever practical.

The pressure-temperature design parameters for each of the lines is summarized below.

Line

Minimum Design

Metal Temperature

(°F)

Design

Temperature

(°F)

Design

Internal

Pressure

(psig)

Design

External

Pressure

(psig)

LN2 Process -320 100 145 0

LN2 Jacket -20 120 14.7 -14.7

GN2 -20 120 145 0

The size, material, schedule / rating and other pertinent properties for each piping component is

specified on the design drawings. The general properties for each of the lines are summarized

below.

Line Gen. Pipe

Size Pipe Materials

Pipe

Schedule(s)

Flange

Rating

LN2 Process 1.5 NPS ASTM

A312-TP304/304L Sch. 10S NA

LN2 Jacket 4 NPS ASTM

A312-TP304/304L Sch. 5S NA

GN2 2 NPS ASTM

A312-TP304/304L Sch. 10S NA

The pipes are assumed to be electric fusion welded tubes with a single butt seam (Basic Quality

Factor, Ej, of 0.8 per Table A-1B in B31.3). All other A312 pipe fabrication methods with

higher quality factors are therefore acceptable.

In addition to operating conditions, the piping is designed for occasional loads (seismic, wind).

The applied seismic loads and load combinations are determined in accordance with the 2013

CBC and ASCE 7-10.

Page 8: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 8 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 8

Per the LCLS-II Cryogenic Building Geotechnical Report [6] and the Cryogenic Plant Seismic

Design Criteria, the site seismic design parameters include Site Class C, SD1 = 1.012 and SDS =

1.968.

The substances used in the LCLS-II Cryoplant and these lines (namely inert cryogenics, gaseous

helium) are not hazardous (highly toxic or explosive / flammable) in accordance with CBC Table

307.1 and the Cryogenic Plant Seismic Design Criteria. Thus, per ASCE 7-10 Table 1.5-1 and

the Cryogenic Plant Seismic Design Criteria, the Risk Category for the Cryogenic Building and

its associated components is II. Per ASCE 7-10 Table 1.5-2 and the Cryogenic Plant Seismic

Design Criteria, the Seismic Importance Factor for the Cryogenic Building and its associated

components is Ie = 1.0. Per ASCE 7-10 11.6 and the site seismic design parameters (S1 = 1.168),

the Seismic Design Category for the Cryogenic Building and its associated components is E.

As the piping is a nonstructural component, the seismic design force is determined in accordance

with ASCE 7-10 13.3.1 as demonstrated below. The component amplification factor, ap, is 2.5 in

accordance with ASCE 7-10 Table 13.6-1. Except for rare exceptions the piping joints are

welded. Thus, per the Cryogenic Plant Seismic Design Criteria, the component response

modification factor, Rp, is reduced from 12 to 6. To further improve seismic performance, the

component importance factor, Ip, is taken as 1.5 even though not required by ASCE 7-10 13.1.3.

• 𝐹𝑝 =0.4(𝑎𝑝)𝑆𝐷𝑆

𝑅

𝐼𝑝

(1 + 2𝑧

ℎ) 𝑊𝑝 =

0.4(2.5)1.9686.0

1.5

𝑊𝑝 = 0.492 (1 + 2𝑧

ℎ) 𝑊𝑝 (13.3-1)

• 𝐹𝑝𝑚𝑎𝑥= 1.6 𝑆𝐷𝑆𝐼𝑝 𝑊𝑝 = 1.6(1.968)(1.5)𝑊𝑝 = 4.724 𝑊𝑝 (13.3-2)

• 𝐹𝑝𝑚𝑖𝑛= 0.3 𝑆𝐷𝑆𝐼𝑝 𝑊𝑝 = 0.3(1.968)(1.5)𝑊𝑝 = 0.89 𝑊𝑝 (13.3-3)

• So, 𝐹𝑝 = 0.89 𝑊𝑝 for piping supported at the base (z = 0)

For piping connected higher than 40% of the structural height (z = height of point of attachment,

h = average height of structure), the seismic design force is increased according to equation 13.3-

1. For the rare threaded piping sections / components, the component response modification

factor, Rp, is reduced from 6 to 3 in the spirit of the Cryogenic Plant Seismic Design Criteria.

In this system, most piping is base supported. In accordance with 13.3-1, the seismic force the

seismic force applied to the Fill Station piping and some piping within the North Slab is

increased by a factor of 1.66 (z/h = 1).

To meet the requirement that the seismic force is applied in the direction that produces the most

critical load effect, 100% of the seismic design force is applied in one horizontal direction and

30% of the seismic design force is applied in an orthogonal direction (ASCE 7-10 12.5.3.1). In

Page 9: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 9 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 9

addition, a vertical seismic force of ±0.2 SDS Wp is also simultaneously applied. All directional

combinations are applied (i.e. +100% X, -Y, -30% Z; -30% X, +Y, +100% Z; etc). The design

load combinations / factors in which these forces are applied are discussed in Section 4.

As with the seismic design force, the wind design force is determined in accordance with the

2013 CBC and ASCE 7-10. As discussed / derived previously, the Risk Category for the

Cryogenic Building and its associated components is II. As such, per Figure 26.5-1A in ASCE

7-10, the basic wind speed is 110 miles per hour (mph). In accordance with ASCE 7-10 26.7.2 /

26.7.3, the exposure category for the piping is C (the same as the Cryogenic Building).

The design wind load is determined in accordance with ASCE 7-10 29.5 as demonstrated below.

The gust-effect, G, is 0.85 in accordance with ASCE 7-10 26.9.1. The effect on wind speed from

upstream isolated hills, ridges, etc is considered negligible, so the topographic factor, Kzt, is 1.

As the pipe is round, the wind directionality factor, Kd, is 0.95 in accordance with Table 26.6-1.

As all pipe in this scope is less than 15 feet above the ground, the velocity pressure exposure

coefficient, Kz, is 0.85 in accordance with ASCE 7-10 Table 29.3-1. As D√(qz), see below, is

less than 2.5 for all pipes in this scope, the force coefficient is conservatively taken to be 1.2 (in

accordance with ASCE 7-10 Figure 29.5-1).

• 𝐹 = 𝑞𝑧𝐺𝐶𝑓 (𝑙𝑏/𝑓𝑡2) (29.5-1)

• 𝑞𝑧 = 0.00256 𝐾𝑧𝐾𝑧𝑡𝐾𝑑𝑉2 = 0.00256(0.85)(1)(0.95)(110)2 = 25.1 (29.3-1)

• 𝐹 = (25.1)(0.85)(1.2) = 25.52 (𝑙𝑏/𝑓𝑡2)

• 𝐹𝑚𝑖𝑛 = 16.00 (𝑙𝑏/𝑓𝑡2) (29.8)

• So, 𝐹 = 25.52 (𝑙𝑏/𝑓𝑡2)

To meet the requirement that wind shall be assumed to come from any horizontal direction with

no account for shielding for other structures (CBC 1609.1), the wind is applied in eight

horizontal directions (0°, 45°, 90°, 135°, etc). The wind vertical uplift force is considered

negligible for this piping scope. The design load combinations / factors in which the horizontal

forces are applied are discussed in Section 4.

For the inner LN2 process line, wind loads are not applied, since this load is only experienced by

the outer vacuum jacket pipe. Also, a significant portion of both the LN2 jacket and the GN2

pipe are located inside the cryoplant building (e.g. shielded from wind), this is ignored for the

analysis.

4.0 Analysis

Page 10: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 10 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 10

The piping is analyzed using Bentley AutoPIPE Version 10. To evaluate piping for the design

parameters discussed in Section 3, the models inputs are as described below.

Pressure –Temperature Cases

Case 1 Case 2 Case 3 Case 4

Pressure Max Max Vacuum* Max

Temperature Max Min Install Max

LN2 Process LN2 Jacket GN2

P (psig) T (oF) P (psig) T (oF) P (psig) T (oF)

Case 1 145 100 15 120 145 120

Case 2 145 -320 15 -20 145 -20

Case 3 0 70 0 70 0 70

Case 4 145 100 15 120 145 120

Also, since precise thermal expansion/contraction is available for 304/304L stainless steel at

cryogenic temperatures from the NIST Cryogenic Material Properties Database the linearized

default data in Autopipe is replaced with more accurate representations.

NIST Thermal Contraction Data

Parameter LN2 Process LN2 Jacket GN2 Unit

Min Design Metal Temperature -320 -20 -20 oF

Max Design Metal Temperature 100 120 120 oF

Thermal Contraction Rate -3.35 -0.89 -0.89 in/100ft

Thermal Expansion Rate 0.35 0.56 0.56 in/100ft

*Rate Relative to 70oF Reference Temperature

Notes:

1. The install/rest temperature is assumed to be 70°F (55oF is the average

expected daytime temperature in Palo Alto during November through March,

but 70oF gives a more conservative temperature range for thermal

contraction).

2. As AutoPIPE does not impose pressures below 0 psig, Case 3 is inherently a

gravity check. A separate evaluation is discussed in Section 5.

3. The purpose of Case 4 is to evaluate the system during a pressure relief event

(i.e. apply the relief valve discharge reaction force).

Page 11: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 11 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 11

Equipment/Dewar Nozzles

The nozzles are modeled as pipe to the shell to nozzle junction. This junction is

modeled as a nozzle flexibility element, to reflect the flexibility of the junction,

followed by a rigid anchor. The loads on the rigid anchor are compared to the

allowable nozzle loads.

Anchor movement due to thermal expansion / contraction of the tank and seismic

/ wind displacement of the tank (as required by ASCE 7-10 15.7.4) is considered.

Negligible anchor movements (less than 1/32”) are not included in the model.

Relief Valve Reaction Force

The relief valve discharge reaction forces as calculated are applied to Case 4.

Friction

In calculating pipe stresses, nozzle loads and pipe displacements, friction are

conservatively ignored. In calculating support loads (LRFD cases), friction is

considered. The steel-to-steel coefficient of friction at the U-bolt and pipe strap

supports is assumed to be 0.5. For the G-10CR spacers, the friction coefficient is

assumed to be 0.2.

Supports

In accordance with the design, U-bolts are modeled to reflect a loose installation.

In other words, a gap of 1/2 the difference between the inner U-bolt dimension

and the pipe outer diameter on both sides and above the pipe is included. The

Unistrut pipe straps are modeled with no gaps. Like anchors, the supports are

modeled as rigid. The loads on the rigid supports are compared to the allowable

support loads and used as inputs in the separate structural analysis. Spacers are

modelled having the as designed 1/16” radial gap movement, and are treated with

the friction values in the above section.

Flexible Hoses

Flexible hoses are used throughout the cold liquid Nitrogen lines in order to

accommodate thermal contractions in the process lines. Hoses are assumed to be

completely rigid in the axial and torsional directions, and are assigned a negligible

stiffness value in the other four degrees of freedom.

Flanges

Page 12: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 12 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 12

Flanges are checked for leak tightness using the conservative equivalent pressure

method. This method, defined in the obsolete Nuclear Piping Code (ASME

B31.7) paragraph 1-704.5(a), is summarized in the equation below (from

AutoPIPE) where P is the line pressure, M is the external bending moment, F is

the external axial tension force and G is the gasket reaction diameter.

𝑃𝑇𝑜𝑡𝑎𝑙 = 𝑃 + 𝑃𝑒𝑞

𝑃𝑇𝑜𝑡𝑎𝑙 = 𝑃 + 16𝑀

(𝜋𝐺3)+

4𝐹

𝜋𝐺2

To reduce the conservatism of this approach to a more reasonable level, the total

calculated pressure is compared to 110% of the ASME B16.5-2013 [11] flange

pressure rating for normal design operating conditions and 150% (equal or less

than the flange hydrotest pressure) for occasional operating conditions.

Some of the flanges used are not standard ANSI Pressure Class, and are qualified

by additional calculations as required by code. These flange calculations are

located in the components calculation report.

Combinations

The design load combinations are specified in ASME B31.3 and ASCE 7-10

2.3.2. While the pipe is designed using allowable stress design, some support

components (support anchors for example) are designed based on strength design.

As the pipe snow, rain and live loads are zero, the four potential allowable stress

determining load combinations are, in accordance with ASCE 7-10 2.4.1 and

12.4.2.3, below. Note that ρ = 1 per ASCE 7-10 13.3.1 and pressure (P) and

temperature (T, expansion from ambient / install temperature to case temperature)

apply to all load combinations.

5a. (1.0 + 0.14 SDS) D + 0.7ρQE + P + T

5b. (1.0) D + 0.6W + P + T

7. (0.6) D + 0.6W + P + T

8. (0.6 - 0.14 SDS) D + 0.7ρQE + P + T

The five potential strength determining load combinations are, in accordance with

ASCE 7-10 2.3.1 and 12.4.2.3, below. Note that ρ = 1 per ASCE 7-10 13.3.1 and

pressure and temperature loads apply to all load combinations.

1. (1.4) D + P + T

4. (1.2) D + 1.0W + P + T

Page 13: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 13 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 13

5. (1.2 + 0.2 SDS) D + ρQE + P + T

6. (0.9) D + 1.0W + P + T

7. (0.9 - 0.2 SDS) D + ρQE + P + T

The ASME B31.3 code required combinations are below.

Hoop Pressure

Sustained Gravity + Pressure

Expansion Minimum to Maximum Temperature

Expansion Ambient / Install Temperature to Case Temperature

Occasional Sustained + Earthquake

Occasional Sustained + Wind

The table below summarizes the load combinations applied to the various pipe

system components. Each load combination is applied in all applicable directions

/ direction combinations. Note that the ASCE load combinations are applied to

pressure-temperature Case 1 (maximum pressure, maximum temperature). The

inclusion of thermal expansion stresses in the ASCE 7-10 occasional load cases is

significantly more conservative than required by code.

Combination Component Allowable

Limit Reference

Hoop Pipe Stress Ej x S 304.1.2

Sustained Pipe Stress S 302.3.5(c)

Expansion – Max Pipe Stress SA 302.3.5(d)

Expansion – Cases 1-4 Pipe Stress SA 302.3.5(d)

Occasional – Earthquake Pipe Stress 1.33 S 302.3.6

Occasional – Wind Pipe Stress 1.33 S 302.3.6

Gravity + Pressure +

Temperature (Cases 1-4) Flange Pressure 1.1 F See above

ASCE 7-10 – Stress 5a

Pipe Stress 1.33 S 302.3.6

Pipe Displacement NA

Flange Pressure 1.5 F See above

Nozzle Loads Per Fabricator

U-Bolts Per Manufacturer

ASCE 7-10 – Stress 5b

Pipe Stress 1.33 S 302.3.6

Pipe Displacement NA

Flange Pressure 1.5 F See above

Nozzle Loads Per Fabricator

U-Bolts Per Manufacturer

ASCE 7-10 – Stress 7 Pipe Stress 1.33 S 302.3.6

Pipe Displacement NA

Page 14: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 14 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 14

Flange Pressure 1.5 F See above

Nozzle Loads Per Fabricator

U-Bolts Per Manufacturer

ASCE 7-10 – Stress 8

Pipe Stress 1.33 S 302.3.6

Pipe Displacement NA

Flange Pressure 1.5 F See above

Nozzle Loads Per Fabricator

U-Bolts Per Manufacturer

ASCE 7-10 – Strength 1 Pipe Straps Per Manufacturer

Anchors Per Manufacturer

ASCE 7-10 – Strength 4 Pipe Straps Per Manufacturer

Anchors Per Manufacturer

ASCE 7-10 – Strength 5 Pipe Straps Per Manufacturer

Anchors Per Manufacturer

ASCE 7-10 – Strength 6 Pipe Straps Per Manufacturer

Anchors Per Manufacturer

ASCE 7-10 – Strength 7 Pipe Straps Per Manufacturer

Anchors Per Manufacturer

Notes:

1. S = Basic Allowable Stress per Table A-1 in ASME B31.3

2. SA = Allowable Displacement Stress Range per ASME B31.3 302.3.5(d)

equation 1(b)

3. F = Flange Pressure Temperature rating per ASME B16.5

Additional model input parameters include

- The pressure case is the initial state for the temperature case

- The wind directionality factor, Kd, is conservatively taken to be 1.0 (instead of

0.95).

- The allowable displacement stress range is calculated by ASME B31.3

302.3.5(d) equation 1(b).

Page 15: Nitrogen Distribution System (79720-PS-104 & 79720-PS · PDF filethe LCLS-II Cryoplant Nitrogen Distribution System piping design is suitable for all operating ... Nitrogen Distribution

Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 15 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 15

Figure 7: AutoPIPE Tank Farm LN2 Fill Line Model

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 16 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 16

Figure 8: AutoPIPE LN2 Withdrawal Line Model

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 17 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 17

Figure 9: AutoPIPE LN2 Jacket Model

Figure 10: AutoPipe GN2 Line Model

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 18 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 18

5.0 Piping Evaluation

Stress

Stress ratio plot for the two models are provided below in Figures 9 and 10. The

maximum stress ratio for each combination and the node where this stress occurs

is provided in the tables below. As these figures / tables demonstrate, the systems

stresses are below allowable for all load cases / combinations.

Figure 11: AutoPIPE Tank Farm LN2 Fill Line Model Stress Plot

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Pressure System Documentation-Calculations

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Note Number: 79720-P0002

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Figure 12: AutoPipe LN2 Jacket Model

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

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Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 20

Figure 13: AutoPipe GN2 Line Model

LN2 Process Critical

Combination

Maximum Ratio

( Calculated Stress /

Allowable Stress)

Node

B31.3 Occasional Seismic 0.77 A19

LN2 Jacket Critical

Combination

Maximum Ratio

( Calculated Stress /

Allowable Stress)

Node

Thermal Expansion 0.79 D95

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Pressure System Documentation-Calculations

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Note Number: 79720-P0002

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Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 21

GN2 Combination

Maximum Ratio

( Calculated Stress /

Allowable Stress)

Node

Thermal Expansion 0.88 G04

Vacuum Loads

The jacket pipe is capable for full vacuum as described below. Per 304.1.3 of

ASME B31.3, the wall thickness for external pressure shall be determined in

accordance with UG-28 through UG-30 of the ASME BPVC Section VIII,

Division 1 [12]. However, as permitted by ASME Code Case 2286-5 section 3.1,

a more modern calculation method is implemented. As seen the referenced

components list document, all sizes of vacuum jacketed pipe have external

pressure ratings above required.

Components

The pressure-temperature ratings for all components exceed the requirements of

the four pressure-temperature cases. Please reference the component list

indicated in Section 9.

6.0 Flange Evaluation

Since the flanges used in this pressure system are not standard ANSI pressure class flanges, they

are individually qualified for use by an individual examination of the pressure and external code

combination loads. Please see referenced components calculation sheet for details.

7.0 Equipment Nozzle Evaluation

The maximum loads on each equipment nozzle are provided in the table below and compared to

the allowable nozzle loads. The nozzle loads are less than the allowable nozzle loads for all load

cases / combinations, as shown in the LN2 and GN2 Components List.

Nozzle Allowable Loads

(lbf,lbf-ft)

LN2 Vaporizer

Radial: 187

Long Shear: 250

Circ Shear 250

Long Moment: 125

Circ Moment: 166

Torsion: 29

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 22 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 22

8.0 Support Evaluation

The evaluation of the unistrut pipe straps, U-bolts and G-10CR spacers used are covered in the

referenced report listed in the associated analyses section 9. As mentioned prior, all pipe supports

are evaluated using only the LRFD ASCE 7-10 cases.

9.0 Associated Analyses / Documents

Structural analyses, pipe stress reports and pressure system documentation related to this report

are listed below.

79720-A0005 LN2 Fill Station Structural Analysis

79720-A0003 Pipe Support Structural and Anchor Analysis

79720-P0006 79720-PS-104 & 79720-PS-105 Component Lists

79720-P0005 79720-PS-104 & 79720-PS-105 Pressure System Forms

10.0 Summary / Conclusions

The pipe stresses are below allowable for all normal and occasional design conditions. The pipe

displacements are reasonable for all normal and occasional design conditions. The pipe flanges

are leak tight for all normal and occasional design conditions. The tank nozzle loads are below

allowable nozzle loads for all normal and occasional design conditions. The support loads are

below manufacturer allowable loads for all normal and occasional design conditions. Thus, the

pipe system design is acceptable.

11.0 References

[1] Process Piping, ASME B31.3-2014

[2] California Building Code, 2013

[3] Minimum Design Loads for Buildings and Other Structures. ASCE/SEI 7-10, 2010

[4] California Mechanical Code, 2013

[5] Cryogenic Plant Seismic Design Criteria, LCLSII-4.8-EN-0227-R2

[6] Final Report Geotechnical Investigation LCLS II Cryogenic Building and Infrastructure

SLAC National Accelerator Laboratory, Rutherford+Chekene #2014-106G

[7] LN2 Drawings

[8] Structural Calculations for LN2 Dewars TBD

[9] Mechanics of Materials, Beer, Johnston Jr and DeWolf – 3rd

Ed

[10] http://engineersedge.com/beam_bending/beam_bending8.htm

[11] Pipe Flanges and Flanged Fittings, ASME B16.5-2013

[12] Rules for Construction of Pressure Vessels, ASME BPVC Section VIII, Division 1-2015

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 23 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 23

[13] Materials, ASME BPVC Section IID-2015

[14] http://www.engineeringtoolbox.com/stainless-steel-pipes-bursting-pressures-d_463.html

[15] Welded Steel Pipe Design Manual, American Iron and Steel Institute- 2007 Edition, p. 17

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Pressure System Documentation-Calculations

Title: Nitrogen Distribution System (79720-PS-104 & 79720-PS-105) Stress Analysis

Note Number: 79720-P0002

Author(s): Connor Kaufmann Page 24 of 24

Pressure System Documentation – Nitrogen Distribution System Stress Analysis Page 24

Appendix A – AutoPIPE Models / Reports

The model files listed below are on file at JLab and can be provided upon request.

FILE TYPE FILE NAME

AutoPIPE Model LN2.dat

Input Database LN2_ASD_CASES1-4.dat

Input Database LN2_ASD_CASES5-8.dat

Input Database LN2_ASD_CASES9-12.dat

Input Database LN2_ASD_CASES13-16.dat

Input Database LN2_LRFD_CASES1-4.dat

Input Database LN2_LRFD_CASES5-8.dat

Input Database LN2_LRFD_CASES9-12.dat

Input Database LN2_LRFD_CASES13-16.dat

AutoPIPE Model Jacket.dat

Input Database Jacket_ASD_CASES1-4.dat

Input Database Jacket_ASD_CASES5-8.dat

Input Database Jacket_ASD_CASES9-12.dat

Input Database Jacket_ASD_CASES13-16.dat

Input Database Jacket_LRFD_CASES1-4.dat

Input Database Jacket_LRFD_CASES5-8.dat

Input Database Jacket_LRFD_CASES9-12.dat

Input Database Jacket_LRFD_CASES13-16.dat

AutoPIPE Model GN2.dat

Input Database GN2_ASD_CASES1-4.mdb

Input Database GN2_ASD_CASES5-8.mdb

Input Database GN2_ASD_CASES9-12. mdb

Input Database GN2_ASD_CASES13-16. mdb

Input Database GN2_LRFD_CASES1-4. mdb

Input Database GN2_LRFD_CASES5-8. mdb

Input Database GN2_LRFD_CASES9-12. mdb

Input Database GN2_LRFD_CASES13-16. mdb

These files are located in the folder path indicated below.

M:\cryo\CENTRAL DOCUMENTATION AREA\NON-JLAB PROJECTS DOCUMENTATION\LCLS-

II\Pressure Systems\LN2 & GN2