1. 2K Cold Box Internal Piping Flexibility Analysis
Shirley Yang
LCLS-II 2K Cold Box FDR
March 28, 2018

2. Summary
This presentation addresses the analysis performed to assure the design of the LCLS II 2K Cold Box internal piping system is in accordance with ASME B31.3 Process Piping, the SLAC Cryogenic Plant Seismic Design Criteria and the ASCE 7-10 seismic code.
The design goals are:
No component is overstressed under any combined case scenarios.
The maximum displacement on Weka valves shall not exceed the suggested maximum displacement from the supplier.
For normal operation cases without seismic effect, the reaction forces and moments on cold compressor nozzles shall not exceed the allowable loads provided by Air Liquide.
For transportation mode and operation with seismic effect, the cold compressor casings shall not be overstressed.
LCLS II 2K Cold Box FDR – Internal Piping Analysis

3. 3D Model with Cold Compressor Casings
The casings and nozzles are modeled based on the measured or calculated dimensions.
The extension necks are rigidly anchored.
The control valves, female bayonets and other small pipes are anchored at the end of the vacuum jacket pipes.
This model is used to check stresses and displacement of the piping system for transportation mode and the normal operation mode with seismic effect.
LCLS II 2K Cold Box FDR – Internal Piping Analysis

4. 3D Model without Cold Compressor Casings
The casing nozzles are rigidly anchored.
The control valves, female bayonets and other small pipes are anchored at the end of the vacuum jacket pipes.
The inlet and outlet nozzles are modeled at the same elevation .
This model is used to check the reaction forces and moments on cold compressor nozzles for normal operation mode without considering the seismic effect.
LCLS II 2K Cold Box FDR – Internal Piping Analysis

5. Load Cases The following stresses are checked per ASME B31.3:
Hoop stress; stress due to internal pressure
Sustained stress; stress due to the sustained loads, such as pressure and weight in any component in a piping system
Expansion stress; ambient / install temperature to case temperature
Occasional stress; stress due to the sustained loads and earthquake / transportation acceleration
The following two loads combinations are also applied to the analysis per ASCE :
P + ( SDS)*D + 0.7ƿ*QE (5E)
P + ( SDS)*D + 0.7ƿ*QE (8)
P – pressure
SDS – Design Spectral Acceleration (LCLSII-4.8-EN-0227-R2)
ƿ – Redundancy Factor (ASCE )
QE – Effects of horizontal seismic forces
LCLS II 2K Cold Box FDR – Internal Piping Analysis

6. Load Cases – cont. Seismic Loads Applied to the Analysis
Transportation Loads Combinations (include the self-weight)
Case
Ex (g)
Ey (g)
Ez (g)
Temp. 1 (°F)
Pressure (psi)
TR1
1.5 -1
120 15
TR2
-1.5
TR3
TR4
TR5 -4
TR6 2
LCLS II 2K Cold Box FDR – Internal Piping Analysis

7. Operation without Seismic Effect
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
LCLS II 2K Cold Box FDR – Internal Piping Analysis

8. Operation without Seismic Effect – cont.
Casing Inlet & Outlet Nozzle Reaction Summary
LCLS II 2K Cold Box FDR – Internal Analysis

9. Operation without Seismic Effect – cont.
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
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
PV41565
BA04
0.09
PV41500
BP09
0.57 3
PV41212
BF07
0.43
2.5
LCLS II 2K Cold Box FDR – Internal Analysis

10. Operation with Seismic Effect
Maximum Loads Summary – Operation without 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
Sus. + E2
ASCE 7-10 – Earthquake
0.535
CASE2
LCLS II 2K Cold Box FDR – Internal Piping Analysis

11. Operation with Seismic Effect – cont.
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
CASE1
Maximum Displacement on Control Valves – 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
PV41565
BA04
1.53
GRTP + E9
PV41500
BP09
2.14
GRTP + E12 3
PV41212
BF07
0.80
GRTP + E 7
2.5
LCLS II 2K Cold Box FDR – Internal Analysis

12. Operation with Seismic Effect – cont.
Casing Stress Hand Calculation
LCLS II 2K Cold Box FDR – Internal Analysis

13. Amb to design temperature T2
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
LCLS II 2K Cold Box FDR – Internal Piping Analysis

14. Conclusion
The internal piping system is designed to meet the requirements of ASME B31.3, SLAC cryogenic plant seismic design criteria and the ASCE 7-10.
Loads on cold compressor casing nozzles are less than the Air Liquide allowable loads under operating condition without considering the seismic effect.
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.
The displacements at the control valves under operation conditions with seismic effects are lower than the recommended maximum displacements from the vendor.
LCLS II 2K Cold Box FDR – Internal Piping Analysis