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CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 1 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 1
2K Cold Box Internal Piping Flexibility Analysis
Revision History:
Revision Date Released Description of Change
- 12/15/2017 Original release, Issued for Project use
A 2/26/2018 - Changed casing and its nozzle material from SA-240-304 to SA-240-304L.
- Changed the size of PV41212 and its upstream pipe to be 2 inch.
- Changed the maximum design temperature and pressure to be 120F and 15 psi for transportation case.
- Separated the analysis cases for operation without seismic loads and operation with seismic loads.
- Added displacement results for all control valves.
Issued for Project Use
Shirley Yang
Mechanical Engineer
Cryogenic Engineering Group
Jefferson Lab
Fredrik Fors
Mechanical Engineer
Mechanical Engineering Group
Jefferson Lab
Nate Laverdure
Mechanical Engineer
Cryogenic Engineering Group
Jefferson Lab
Joseph Matalevich
LCLSII Cold System Manager
Mechanical Engineering Group
Jefferson Lab
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 2 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 2
Table of Contents
1.0 Introduction ............................................................................................................................................ 3 2.0 Piping Design Scope............................................................................................................................... 3 3.0 Seismic Load Calculation ....................................................................................................................... 6 4.0 Allowable Stress ..................................................................................................................................... 9 5.0 Load Cases ........................................................................................................................................... 10 6.0 Piping Flexibility Analysis ................................................................................................................... 11
6.1 Normal Operation without seismic effect .......................................................................................... 12
6.2 Normal operation with seismic load effect ........................................................................................ 16
6.3 Transportation Mode ......................................................................................................................... 18
7.0 Summary / Conclusions ........................................................................................................................ 20 8.0 Associated Analysis Files & Documents .............................................................................................. 20 9.0 References ............................................................................................................................................ 21
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 3 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility 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 2K cold box piping design is suitable for all operating and occasional (seismic and transportation) loads.
2.0 Piping Design Scope
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], and the Cryogenic Plant Seismic Design Criteria [4].
Figure 1: LCLS-II 2K Cold Box Internal Piping System
The drawing information of components included in the analysis and the pressure-temperature design
parameters for the 2K cold box internal piping system are summarized below.
Table 1: Drawing Information of Components Included in the Analysis
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 4 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 4
Drawing Number Drawing Title Drawing Revision
Drawing Type
79222-0031 Vessel Top Section Assembly A Assembly
79222-0061 PIPE SPOOL – TL TO CC1 - Assembly
79222-0062 PIPE SPOOL – CC1 TO CC2 - Assembly
79222-0064 PIPE SPOOL – CC2 TO CC3 - Assembly
79222-0065 PIPE SPOOL – CC3 TO CC4 - Assembly
79222-0066 PIPE SPOOL – CC4 TO CC5 - Assembly
79222-0067 PIPE SPOOL – CC5 TO SCB-CC5-1 - Assembly
79222-0068 PIPE SPOOL – SCB-CC6-1 TO CC6 - Assembly
79222-0069 PIPE SPOOL – CC6 TO PV41160 - Assembly
79222-0070 PIPE SPOOL – PV41160 TO PV14470 - Assembly
79222-0071 PIPE SPOOL – SCB-BYP-1 TO PV41565 - Assembly
79222-0072 PIPE SPOOL – PV41170 TO SCB-CCR-1 - Assembly
79222-0073 PIPE SPOOL – PV41170 TO PV41212 A Assembly
79222-0074 PIPE SPOOL – PV41212 TO PV41510 A Assembly
79222-0075 PIPE SPOOL – SCB-LHD-1 TO PV41500 - Assembly
79222-0076 PIPE SPOOL – PV41500 TO EHTR - Assembly
79222-0079 PIPE SPOOL – EHTR TO CC1 INLET - Assembly
79222-0081 PIPE SPOOL – MV41382 BRANCH - Assembly
79222-0082 PIPE SPOOL – MV41162 BRANCH - Assembly
79222-0083 PIPE SPOOL – PV41500 BRANCH - Assembly
79222-0084 PIPE SPOOL – PV41565 BRANCH - Assembly
79222-0086 PIPE SPOOL – PV41530 BRANCH - Assembly
79222-0087 PIPE SPOOL – PV41540 BRANCH - Assembly
79222-0088 PIPE SPOOL – PV 41550 BRANCH - Assembly
79222-0089 PIPE SPOOL – PV41560 BRANCH - Assembly
79222-0105 HEATER ASSEMBLY - Assembly
C4118-A-100-A2 SLAC COLD COMPRESSOR 1 (CC1) A Assembly
C4118-A-110-A2 SLAC COLD COMPRESSOR 2 (CC2) A Assembly
C4118-A-120-A2 SLAC COLD COMPRESSOR 3 (CC3) A Assembly
C4118-A-130-A2 SLAC COLD COMPRESSOR 4 (CC4) A Assembly
C4118-A-140-A2 SLAC COLD COMPRESSOR 5 (CC5) A Assembly
C4118-A-150-A2 SLAC COLD COMPRESSOR 6 (CC6( A Assembly
Table 2: Design Parameters
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 5 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 5
System
Operation Transportation
Design Temperature Range (°F)
Design Pressure (psig)
Design Temperature Range
(°F)
Design Pressure (psig)
2K CBX Internal Piping
-452 – 70 60 0 – 120 15
The size, material and schedule for each piping component are specified on the design drawings. The
general properties are summarized in Table 3 below.
Table 3: Piping System Spec
Line Pipe Size Pipe Material Pipe Schedule
Transfer Line to CC1 Inlet 10” / 6” A312-TP304/304L 10S
CC1 Outlet to CC2 Inlet 6” / 8” / 5” A312-TP304/304L 10S
CC2 Outlet to CC3 Inlet 5” / 6” / 4” A312-TP304/304L 10S
CC3 Outlet to CC4 Inlet 4” / 6” / 3” A312-TP304/304L 10S
CC4 Outlet to CC5 Inlet 3” / 4” A312-TP304/304L 10S
CC5 Outlet to 5-3/16” bayonet 3” / 4” A312-TP304/304L 10S
5-3/16” Bayonet to CC6 Inlet 4” / 3” A312-TP304/304L 10S
CC6 Discharge to 4K CBX 4” A312-TP304/304L 10S
CCs Bypass 1” / 2-1/2” A312-TP304/304L 10S
CC6 Discharge 1” Thermal Relief 1” A312-TP304/304L 10S
CC6 Discharge ½” Thermal Relief 1/2” A312-TP304/304L 40
3 ATM Warm Helium Injection 1/2” A312-TP304/304L 40
Heat Piping to CC1 Suction 2” / 4” A312-TP304/304L 10S
PV41500 - control valve to CC1 Suction 2.17” OD A312-TP304/304L 0.079”
PV41212 – CCs bypass control valve 1.496” OD A312-TP304/304L 0.047”
PV41160, PV41170 and PV41565 – CC6
Discharge Control valves 4.76” OD A312-TP304/304L 0.098”
5-3/16” Bayonet 5-3/16” OD A312-TP304/304L 0.049”
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 6 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 6
The pipes are assumed to be electric fusion welded tubes with a single butt seam (Basic Quality Factor,
Ej = 0.8 per Table A-1B in B31.3). All other ASTM A312 tube fabrication methods with higher quality
factors are therefore acceptable.
3.0 Seismic Load Calculation
The ASCE 7-10 chapter 13 Seismic Design Requirements for Nonstructural components in conjunction
with ASME B31Ea-2010 [5] and the LCLS II Cryogenic Plant Seismic Design Criteria are used to
perform the seismic load calculations.
The site seismic design parameters include Site Class C, SD1 = 1.013 and SDS =1.968. The Component
Amplification Factor is 2.5 per ASCE 7-10 Table 13.5-1. The Response Modification factor is 6 and the
Redundancy Factor is 1. To be conservative, 1.5 is used as the Importance Factor and 1 is used as the
Height Ratio.
Table 4 summarizes the seismic design parameters and the calculated accelerations in both horizontal
and vertical directions.
Table 4: 2K CB Seismic Load Calculation
There are two general approaches to consider the seismic effect. The first one is the Strength Design
method (LFRD) per ASCE 7-10 12.4.2.3. The other one is the Allowable Stress Design method (ASD)
per ASCE 7-10 12.4.2.3. The ASD method is used for the internal piping system analysis. The basic case
combinations are listed in Table 5.
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 7 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 7
Table 5: Basic Loads Case Combinations with Seismic Load Effect
Where
D – dead load or weight.
0.14SDS – vertical seismic acceleration.
QE – effects of horizontal seismic forces. Where required by Section 12.5.3 or 12.5.4, such effects shall
result from application of horizontal forces simultaneously in two directions at a right angle to each
other.
ρ – redundancy factor.
Using 1.476W for QE (calculated per ASCE 7-10 12.8) and a value of 1 for the redundancy factor ρ, the
above load combinations can be written in the Table 6:
Table 6: Basic Case Combinations with Seismic Load Effect – after calculation
ASD Basic Combinations from ASCE 7-10 12.4.2.3
5. 1.28D ±1.03W (horizontal direction) ±0.31W (30% orthogonal) 8. 0.32D ±1.03W (horizontal direction) ±0.31W (30% orthogonal)
Since the piping system is not symmetrical to the coordinate system, 16 different acceleration load cases
need to be considered. They are listed in Table 7, calculated from the definitions in Table 6.
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 8 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 8
Table 7: Seismic Loads Combinations
Please note, the static earthquake acceleration loads applied to the analysis are listed in Table 8 below:
Table 8: Seismic Loads Applied to the Analysis
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 9 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 9
4.0 Allowable Stress
The material of the internal piping system is 304/304L stainless steel. But the material of the piping system
on the cold compressors is 304L stainless steel. To be conservative, the allowable stress for 304L stainless
steel is used. Per 302.3.5, ASME B31.3, the stresses due to the sustained loads, SL, shall not exceed Sh;
the stresses due to the expansion loads, shall not exceed SA.
Where,
Sh – Basic allowable stress at maximum metal temperature expected during the displacement cycle under
analysis. It is taken from Table A-1 of ASME B31.3, which is 16.7 ksi,
Sc – Basic allowable stress at minimum metal temperature expected during the displacement cycle
under analysis. It is 16.7 ksi per Table A-1 of ASME B31.3,
f – Stress range factor. It is 1 per calculation,
SA – Allowable displacement stress range, which is 25 ksi per the equation below
SA = f * (1.25Sc + 0.25Sh)
Per B302.3.6, ASME B31-1, the sum of the longitudinal stresses, SL, due to the sustained loads, such as
pressure and weight, and of the stresses produced by occasional loads, such as transportation, wind or
earthquake, may be as much as 1.33 times the basic allowable stress Sh. Therefore, the allowable stress
for Occasional loads is 22.2 ksi.
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 10 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 10
5.0 Load Cases
The piping flexibility and loads on cold compressor nozzles, control valves as well as on the bayonets
need to be checked for the shipping mode, the normal operation mode without seismic effect and the
normal operation plus seismic effect mode. The design goals are, for normal operation mode without
seismic effect, the nozzle loads on the cold compressor casings should not exceed the given allowable
loads from Air Liquide; for transportation and normal operation mode with seismic effect, the stresses
on the casings and other piping system components should not exceed the allowable stress of
corresponding material.
There are two shipping cases. The first case is a 1.5g acceleration in two lateral directions plus the self-
weight load; the second case is a ±3g vertical acceleration plus the self-weight [6]. 15 psi positive
pressure and a temperature range of 0 - 120 F are assumed during transportation.
Table 9: TransportationLoads Combinations (include the self-weight)
Case Ex (g) Ey (g) Ez (g) Temp. 1 (°F) Temp. 2 (°F)
TR1 1.5 -1 1.5 120 0
TR2 1.5 -1 -1.5 120 0
TR3 -1.5 -1 1.5 120 0
TR4 -1.5 -1 -1.5 120 0
TR5 0 -4 0 120 0
TR6 0 2 0 120 0
For the normal operation mode, the design load combinations are specified in ASME B31.3 and ASCE
7-10 2.3.2. The ASCE 7-10 loads cases are showing in Table 5 above. The ASME B31.3 code required
combinations are below.
Hoop Gravity + Pressure
Sustained Minimum to Maximum Temperature
Expansion Ambient/Install Temperature to Case Temperature
Occasional Sustained + Earthquake / transportation acceleration
The table below summarizes the load combinations applied to the various piping system.
Table 10: Loads Combination and Allowable Limits
Combination Component Allowable Limit Reference
Hoop Pipe Stress Ej×S 304.1.2
Sustained Pipe Stress S 302.3.5(c)
Expansion Pipe Stress SA 302.3.5(d)
Occasional Pipe Stress 1.33 S 302.3.6
ASCE 7-10 - Stress Pipe Stress 1.33 S 302.3.6
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 11 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 11
6.0 Piping Flexibility Analysis
Figures 2 and 3 show 3D piping analysis models created in Bentley AutoPIPE. The first model in
Figure 2 includes the casings and extension necks of the cold compressors, where the necks are rigidly
anchored. This model is used for the analysis of transportation cases and normal operation with seismic
effects, since the stresses in the extension necks and casings can be checked directly. Please note that the
casing and nozzles were modeled based on the measured or calculated dimensions.
The second model does not include the cold compressor casings and extension necks, so the inlet and
outlet nozzles are anchored instead. This model is used for the operation loads cases without seismic
effects. The force and moment reactions on casing nozzles are extracted from this case to compare them
with the given allowable loads on nozzles. The control valves, female bayonets and other small pipes are
also anchored at the end of vacuum jacket pipes.
Figure 2: 3D Model of the 2K Cold Box Internal Piping System with Casing and Extension Necks
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 12 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 12
Figure 3: 3D Model of 2K Cold Box Internal Piping System without Casing and Extension Necks
6.1 Normal Operation without seismic effect
The design goal is to make sure the force and moment reactions on the cold compressor casing nozzles
are less than the allowable loads provided by the vendor, Air Liquide. This is in addition to meeting the
stress requirements of the cold box piping system and bayonets, as well as the stress and deformation
requirements of the control valves. To reach this goal, the model shown in Figure 3 is used for this
analysis.
Table 11: Maximum Loads Summary – Operation without Seismic Effect
Combination Maximum Stress Ratio
(Calculated/Allowable) Node Load Case
Hoop 0.185 AT09 Pmax
Sustained 0.170 BN01 Grav. + Pmax
Expansion 0.486 BP02 Amb. to design
temperature T
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 13 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 13
A stress ratio plot for the analyzed model is provided below in Figure 4. The maximum stress ratio for
each combination and the node where this stress occurs is provided in Table 11. As the figure and table
demonstrate, the systems stresses are below allowable for all load cases and combinations.
Figure 4: AutoPIPE LCLSII 2K Cold Box Internal Piping Model Stress Plot – Operation without
Seismic Effect
The maximum displacement for each combination and the nodes where this movement occurs are
provided in Table 12 below.
Table 12: Maximum Displacement Summary – Operation without Seismic Effect
Combination Maximum Displacement
(in) Node Load Case
Hoop 1.41E-3 AT07 Max P
Sustained 0.040 AY02 Grav. + Pmax
Expansion 0.468 BP05 Amb to design
temperature T
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 14 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 14
The distance from the node BP05 to the nearest line is 14”, so the piping system has enough space to
move around. Therefore a maximum displacement of 0.47” is considered acceptable.
The reactions at the casing inlet and outlet nozzles are listed in the Table 13. The allowable loads from
the Air Liquide drawings of the cold compressor casings are summarized in Table 14.
Table 13: Casing Inlet & Outlet Nozzle Reaction Summary – Operation without Seismic Effect
Point Combination LocalFX LocalFY LocalFZ RF LocalMX LocalMY LocalMZ RM
CC1 INLET lbf ft-lb
G09
Gravity{1} -172 0 -2 172 -1 -2 -9 9
Pressure 1{1} 0 0 0 0 0 1 0 1
GRTP1{1} -255 3 -34 257 86 -130 -52 165
SUSTAIN -172 0 -2 172 -2 -1 -9 9
CC1 OUTLET
AP00
Gravity{1} 1 -128 0 128 7 -2 -76 77
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} 6 -135 -9 135 44 -5 -59 74
SUSTAIN 1 -128 0 128 7 -2 -77 77
CC2 INLET
AP16
Gravity{1} -133 0 -1 133 0 -10 2 11
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} -127 9 -6 127 4 -37 -53 64
SUSTAIN -133 0 -1 133 -1 -10 2 10
CC2 OUTLET
AQ00
Gravity{1} 2 -84 0 84 -2 1 -35 35
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} 19 -151 18 153 -76 3 -7 76
SUSTAIN 2 -84 0 84 -2 1 -35 36
CC3 INLET
AQ09
Gravity{1} -92 2 0 92 1 7 -11 13
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} -26 22 -14 37 -2 -129 -156 202
SUSTAIN -92 2 0 92 1 7 -10 13
CC3 OUTLET
AR00
Gravity{1} 2 -80 0 80 1 -1 -26 26
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} 15 -135 -16 136 61 -6 -9 62
SUSTAIN 2 -80 0 80 1 -1 -27 27
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 15 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 15
CC4 INLET
AR08
Gravity{1} -89 2 1 89 -1 0 -11 11
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} -35 6 21 41 4 156 -24 158
SUSTAIN -89 2 1 89 -1 0 -11 11
CC4 OUTLET
AS00
Gravity{1} 1 -51 0 51 1 0 -18 18
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} 6 -71 -4 71 17 -1 -7 18
SUSTAIN 1 -51 0 51 1 0 -18 18
CC5 INLET
AS09
Gravity{1} -55 0 0 55 0 2 -3 4
Pressure 1{1} 0 0 0 0 0 0 0 0
GRTP1{1} -35 0 7 36 0 47 4 47
SUSTAIN -55 0 0 55 0 2 -3 4
CC5 OUTLET
AT00
Gravity{1} 1 -51 0 51 -1 0 -18 18
Pressure 1{1} 0 -1 0 1 1 0 -1 1
GRTP1{1} 2 51 3 51 -66 4 70 96
SUSTAIN 1 -52 0 52 0 0 -19 19
CC6 INLET
AU06
Gravity{1} -50 0 0 50 0 0 1 1
Pressure 1{1} 0 0 0 0 0 0 -1 1
GRTP1{1} -42 -23 0 48 0 0 145 145
SUSTAIN -50 0 0 50 0 0 0 0
CC6 OUTLET
AV00
Gravity{1} 1 -57 0 57 3 0 -19 19
Pressure 1{1} 0 -1 0 1 0 0 -1 1
GRTP1{1} -2 122 -3 122 -44 3 74 86
SUSTAIN 1 -58 0 58 3 0 -20 20
Gravity – the load from the self weight of the system
Pressure – the load from ΔP of the system
GRTP – the combined load of self weight + Thermal + ΔP of the system
SUSTAIN – the combined load of self weight + ΔP of the system
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 16 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 16
Table 14: Casing Nozzles Allowable Loads
Nozzle Allowable Resultant Force - lbf
Allowable Resultant Moment - ft-lb
CC1 Inlet / Outlet 259 254
CC2 Inlet / Outlet 214 210
CC3 Inlet / Outlet 214 221
CC4 Inlet / Outlet 180 199
CC5 Inlet / Outlet 157 184
CC6 Inlet / Outlet 169 166
By comparing the results in Table 13 to the allowable loads in Table 14, it can be seen that all force and
moment reactions on the cold compressor nozzles are lower than the given allowable loads.
Bayonets are modeled by using 0.049” wall thickness tube. Control valves are modeled after the
specification from the vendor, WEKA [7]. No high stressed areas were observed on either bayonets or
control valve body tubes. The deformations at the control valves are listed in the table below. They are
much less than the maximum displacements provided by the vendor.
Table 16: Maximum Displacement on Control Valves – Operation without Seismic Effect
Valve Node on AutoPIPE
Rmax - in lateral mm Case
Allowable per WEKA mm
PV41160 AV11 0.17 Thermal 1.9
PV41170 AW11 0.12 GRTP 1.9
PV41565 BA04 0.09 GRTP 1.9
PV41500 BP09 0.57 Thermal 3
PV41212 BF07 0.43 Thermal 2.5
6.2 Normal operation with seismic load effect
The design goal is to make sure the cold compressor casings are not overstressed in any scenario, and
that the displacements on the control valves do not exceed the maximum displacements provided by the
vendor. As discussed in Section 6.0, the model shown in Figure 2 above is used for this analysis.
A stress ratio plot for the created model is provided in Figure 5 below. The maximum stress ratio for
each combination and the node where this stress occurs is provided in Table 17 below. As this figure
and table demonstrate, the system stresses are below allowable for all load cases and combinations.
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 17 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 17
Figure 5: AutoPIPE LCLSII 2K Cold Box Internal Piping Model Stress Plot – Operation with
Seismic Load Effect
Table 17: Maximum Stress Summary – Operation with Seismic Effect
Combination
Maximum Stress Ratio
(Calculated/Allowable) Node Load Case
Hoop 0.185 AT10 Pmax
Sustained 0.220 G14 Grav. + Pmax
Expansion 0.486 BP02 Amb to design
temperature T
Occasional 0.805 G14 Sus. + E2
ASCE 7-10 – Earthquake 0.535 G14 CASE2
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 18 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 18
Table 18: Maximum Displacement – Operation with Seismic Effect
Combination Maximum Displacement
(in) Node Load Case
Hoop 1.40e-3 BE05 Max P
Sustained 0.041 AY02 Grav. + Pmax
Expansion 0.468 BP05 Amb to design
temperature T
Occasional 1.22 AP12 Sus. + E1
ASCE 7-10 – Earthquake 0.939 AP12 CASE1
The maximum displacement occurs downstream of the flex hoses on CC1 inlet and CC2 inlet and outlet
spool sections. The distance from the node AP12 to the nearest line is 12”, so the piping system has
enough space to move around. Therefore a maximum displacement of 1.22” is considered acceptable.
The stresses in the cold compressor casings were also checked by hand calculations using the reaction
loads on the casing inlet and outlet nozzles, which were extracted from the AutoPIPE model shown in
Figure 3. Generally, the stresses are higher per hand calculation than those on the model since the
maximum combined load were used and the direction of the loads was ignored. But in no case does the
calculated stress exceed the allowable stress.
Table 19 summarizes the maximum displacements on control valve bodies with the seismic effect. They
are less than the maximum displacements provided by the vendor.
Table 19: Control Valve Maximum Displacement Summary – Operation with Seismic Effect
Valve Node on AutoPIPE
Rmax - in lateral mm Case
Allowable per WEKA mm
PV41160 AV11 1.68 GRTP + E10 1.9
PV41170 AW11 1.67 GRTP + E10 1.9
PV41565 BA04 1.53 GRTP + E9 1.9
PV41500 BP09 2.14 GRTP + E12 3
PV41212 BF07 0.80 GRTP + E 7 2.5
6.3 Transportation Mode
Since the cold compressor cartridges will be shipped separately, the design goal for the transportation
mode is to make sure the CC casings won’t be overstressed in any combination of transportation
accelerations, and that there is enough room for the pipe spools to freely move. As shown in Figure 6
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 19 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 19
below, the maximum stress is 21 ksi, which is 95% of the allowable stress (22.2 ksi). The maximum
displacement is 1.57 in, occurring at node AP12, downstream of the flex hose on the CC2 inlet line.
Since the clearance from this line to the nearest piping system is 12”, there is enough room to
accommodate this displacement.
Figure 6: AutoPIPE LCLSII 2K Cold Box Internal Piping Model Stress Plot - Transportation
Table 20: Maximum Displacement Summary – Transportation
Combination Maximum Displacement
(in) Node Load Case
Hoop 3.52e-4 BE05 Max P
Sustained 0.040 AY02 Grav. + Pmax
Expansion 0.091 BP05 Amb to design
temperature T2
Occasional 1.57 AP12 Sus. + TR4
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 20 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 20
7.0 Summary / Conclusions
The piping stresses are within the allowable for all normal and occasional design conditions. The pipe
displacements are acceptable for all normal and occasional design conditions. Loads on nozzles are less
than the Air Liquide allowable loads for all of the cold compressor casings under operating conditions
and stresses do not exceed the allowable stress under any condtions. The displacements at the control
valves under operation conditions with seismic effects are lower than the recommended maximum
displacement from the vendor. Thus, the pipe system design is acceptable.
8.0 Associated Analysis Files & Documents
The structural analysis of the 2K cold box related to this analysis is:
79222-P0002 LCLSII 2K Cold Box Pressure Safety & Structural Analysis
The calculation documents and model files listed in Table 18 below are on file at JLab and can be
provided upon request. The files are located in the folder path on the JLab network indicated below:
\\JLABSGRP\\cryo\LCLS II ANALYSIS FOLDER\2K\Internal Piping Flex\
Table 18. Additional documentation relating to the analysis.
File Name File Type Description
AutoPIPE_2K_ColdBox_Operation.zip Compressed AutoPIPE Project
Analysis files for operations load cases. Including result and input databases
AutoPIPE_2K_ColdBox_Transportation.zip Compressed AutoPIPE Project
Analysis files for transportation load cases. Including result and input databases
CC Measurement PDF Document The measured casing dimensions to help create the 3D model for analysis.
Casing mass cal.xlsx Microsoft Excel 2016 spreadsheet
Calculation of the casing thickness for modeling purpose.
CC Shafts Cal.xlsx Microsoft Excel 2016 spreadsheet
Calculation of stresses and deformation of the 2K Cold Box CC Nozzles
Approved: 2/28/2018; E-Sign ID : 360772; signed by: DCG: T. Fuell; O.: S. Yang; Re. 1: F. Fors; Re. 2: N. Laverdure; Re. 3: J.
CSA Documentation-Calculations
Title: 2K Cold Box Internal Piping Flexibility Analysis
Note Number: 79222-P0003, Rev. A
Author(s): Shirley Yang Page 21 of 21
CSA Documentation - 2K Cold Box Internal Piping Flexibility Analysis Page 21
9.0 References
[1] American Society of Mechanical Engineers, ASME B31.3, Code for Process Piping, New York,
2014.
[2] California Building Standards Commission, California Building Code, Sacramento, CA, 2013.
[3] American Society for Civil Engineers, ASCE/SEI 7-10 Minimum Design Loads Buildings and
Other Structures, 2013.
[4] Cryogenic Plant Seismic Design Criteria, LCLSII-4.8-EN-0227-R2
[5] American Society of Mechanical Engineers, ASME B31Ea-2010 Addenda to ASME b31e-2008,
Standard for the Seismic Design and Retrofit of Above-Ground Piping Systems
[6] “Shipping load for 2K coldbox”, email from Hongyu Bai, SLAC. 12/6/2016
[7] WEKA Specification no. 20100223 – Allowed Piping Loads – Allowed Displacement. Rev.
August 2010 - FHo
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