Storage Tank Piping (79720-PS-002) Stress Analysis

Transcription

1 Author(s): Scott Kaminski Page 1 of 25 Storage Tank Piping (79720-PS-002) Stress Analysis Revision History: Revision Date Released Description of Change - May 11, 2017 Original release, Issued for Project use Issued for Project Use Scott Kaminski SLAC Accelerator Directorate Mechanical Engineer LCLS-II Bill Crahen JLAB Mechanical Engineering Mechanical Engineer Mike Bevins JLAB Mechanical Engineering Cryogenics Plant Deputy CAM Pressure System Documentation - Storage Tank Piping Stress Analysis Page 1

2 Table of Contents Pressure System Documentation-Calculations Author(s): Scott Kaminski Page 2 of Introduction Scope Piping Design Parameters Analysis Piping Evaluation Flange Evaluation Equipment Nozzle Evaluation Support Evaluation Associated Analyses / Documents Summary / Conclusions References Appendix A AutoPIPE Models / Reports Pressure System Documentation - Storage Tank Piping Stress Analysis Page 2

3 Author(s): Scott Kaminski Page 3 of Introduction The purpose of this Engineering Note is to document the analysis that was performed to ensure the LCLS-II Cryoplant Tank Farm warm helium 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 clean, dirty and purifier discharge lines from/to the Warm Helium Gas Storage Tanks through the trench to the North Slab of the Cryoplant Building. The analysis of the piping continuations on the North Slab is summarized in a separate document (see Section 9). The scope also includes the helium fill station connected to the dirty line and the relief valve arrangement on each of the helium storage tanks. This scope is shown in Figures 1-4 and the drawings listed below. Drawing Drawing Drawing Drawing Title Number Revision Type LCLSII He Gas Storage System (HGS) C P&ID LCLSII General Equipment Layout Tank Farm A Layout LCLSII Storage Warm He Helium Tank Storage Arrangement A Piping LCLSII Storage Warm He GHe Dirty Line Piping Arrangement LCLSII Storage Warm He GHe Clean Line Piping Arrangement LCLSII Storage Warm He Purifier Discharge Line Piping Arrangement LCLSII Storage Warm He GHe Dirty Line Interconnect Spool Assembly LCLSII Storage Warm He GHe Dirty Line Main Header Pipe Spool LCLSII Storage Warm He GHe Clean Line Main Header Pipe Spool LCLSII Storage Warm He GHe Clean Line Interconnect Spool Assembly LCLSII Storage Warm He GHe Purifier Discharge Header Spool Assembly Pressure System Documentation - Storage Tank Piping Stress Analysis Page 3

4 Author(s): Scott Kaminski Page 4 of LCLSII Storage Warm He GHe Purifier Discharge Upper Spool Assembly LCLSII Storage Warm He Relief Valve Spool Assembly, GHe Storage Tank LCLSII Storage Warm He GHe Dirty Line Pipe Spool Thru Trench To Purifier LCLSII Storage Warm He GHe Clean Line Pipe Spool From Purifier Thru Trench LCLSII Storage Warm He GHe Clean Line Pipe Spool Thru Trench To Distribution LCLSII Storage Warm He Gas Storage Fill Rack Assembly Purifier Discharge Line Clean Line Figure 1: LCLS-II Storage Tank Piping (Looking Southeast to Northwest) Pressure System Documentation - Storage Tank Piping Stress Analysis Page 4

5 Author(s): Scott Kaminski Page 5 of 25 Dirty Line Figure 2: LCLS-II Storage Tank Piping (Looking Northwest to Southeast) Figure 3: LCLS-II He Tank Relief Arrangement Pressure System Documentation - Storage Tank Piping Stress Analysis Page 5

6 Author(s): Scott Kaminski Page 6 of Piping Design Parameters Figure 4: LCLS-II Fill Rack Arrangement 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 pressure-temperature design parameters for each of the lines are summarized below. Line Minimum Design Metal Temperature ( F) Design Temperature ( F) Design Pressure (PSIG) Fill Station ,000 Dirty Line Clean Line Purifier Discharge Line Relief Line Pressure System Documentation - Storage Tank Piping Stress Analysis Page 6

7 Author(s): Scott Kaminski Page 7 of 25 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 Pipe Size(s) Fill Station 1 Dirty Line 4 / 2 Clean Line 4 / 2 Purifier Discharge Line 4 / 2 Relief Line 2 Pipe Materials ASTM A312-TP304/304L ASTM A312-TP304/304L ASTM A312-TP304/304L ASTM A312-TP304/304L ASTM A312-TP304/304L Pipe Schedule(s) Schedule 160 Schedule 10 Schedule 10 Schedule 10 Schedule 10 Flange Rating NA Class 300 Class 300 Class 300 Class 300 The pipes are assumed to be electric fusion welded tubes with a single butt seam (Basic Quality Factor, E j, of 0.8 per Table A-1B in B31.3). All other A312 tube 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 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, S D1 = and S DS = The substances used in the LCLS-II Cryoplant and these lines (namely inert cryogenics, gaseous helium) are not hazardous (highly toxic or explosive / flammable). Thus, per ASCE 7-10 Table 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 and the Cryogenic Plant Seismic Design Criteria, the Seismic Importance Factor for the Cryogenic Building and its associated components is I e = 1.0. Per ASCE and the site seismic design parameters (S 1 = 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 as demonstrated below. The component amplification factor, a p, is 2.5 in accordance with ASCE 7-10 Table Except for rare exceptions the piping joints are welded. Thus, per the Cryogenic Plant Seismic Design Criteria, the component response Pressure System Documentation - Storage Tank Piping Stress Analysis Page 7

8 Author(s): Scott Kaminski Page 8 of 25 modification factor, R p, is reduced from 12 to 6. To further improve seismic performance, the component importance factor, I p, is taken as 1.5 even though not required by ASCE F p = 0.4(a p)s DS R Ip (1 + 2 z h ) W p = 0.4(2.5) (1 + 2 z h ) W p = (1 + 2 z h ) W p (13.3-1) F pmax = 1.6 S DS I p W p = 1.6(1.968)(1.5)W p = W p (13.3-2) F pmin = 0.3 S DS I p W p = 0.3(1.968)(1.5)W p = 0.89 W p (13.3-3) So, F p = 0.89 W p 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 For the rare threaded piping sections / components, the component response modification factor, R p, 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 , the seismic force applied to the Purifier Discharge Line branch connections that run from the header to the tank is increased by a factor of 1.34 (based on nozzle elevation above tank base), the seismic force applied to the Clean Line branch connections that run from the header to the tank is increased by a factor of 1.15 and the seismic force applied to the Fill Station piping is increased by a factor of 1.66 (z/h = 1). Moreover, the seismic force applied to the threaded components within the Fill Station piping is increased by a factor of 3.22 (i.e W p ). For the relief line z/h = 0.9. 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 ). In addition, a vertical seismic force of ±0.2 S DS W p 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 As discussed / derived previously, the Risk Category for the Cryogenic Building and its associated components is II. As such, per Figure A in ASCE 7-10, the basic wind speed is 110 miles per hour (mph). In accordance with ASCE / , the exposure category for the piping is C (the same as the Cryogenic Building). The design wind load is determined in accordance with ASCE as demonstrated below. The gust-effect, G, is 0.85 in accordance with ASCE The effect on wind speed from upstream isolated hills, ridges, etc is considered negligible, so the topographic factor, K zt, is 1. As the pipe is round, the wind directionality factor, K d, is 0.95 in accordance with Table Pressure System Documentation - Storage Tank Piping Stress Analysis Page 8

9 Author(s): Scott Kaminski Page 9 of 25 As all pipe in this scope is less than 15 feet above the ground, the velocity pressure exposure coefficient, K z, is 0.85 in accordance with ASCE 7-10 Table As D (q z ), 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 ). F = q z GC f (lb/ft 2 ) (29.5-1) q z = K z K zt K d V 2 = (0.85)(1)(0.95)(110) 2 = 25.1 (29.3-1) F = (25.1)(0.85)(1.2) = (lb/ft 2 ) F min = (lb/ft 2 ) (29.8) So, F = (lb/ft 2 ) To meet the requirement that wind shall be assumed to come from any horizontal direction with no account for shielding for other structures (CBC ), 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 Analysis The piping is analyzed using Bentley AutoPIPE Version 10. The first model created is shown in in Figures 5 through 7 and the second is shown in Figure 8. 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 Notes: 1. The install temperature is assumed to be 55 F (the average expected daytime temperature in Palo Alto during November through March). 2. As AutoPIPE does not impose pressures below 0 psig, Case 3 is inherently a gravity check. A separate evaluation is discussed in Section The purpose of Case 4 is to evaluate the system during a pressure relief event (i.e. apply the relief valve discharge reaction force). Pressure System Documentation - Storage Tank Piping Stress Analysis Page 9

10 Author(s): Scott Kaminski Page 10 of 25 Tank Nozzles The nozzles are modeled as pipe, per the fabrication drawings [7], 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 ) is considered. Negligible anchor movements (less than 1/32 ) are not included in the model. In this scope, the drain / Dirty Line nozzle movement is negligible (due to proximity to the fixed tank saddle) and the Relief Line nozzle movement is negligible (piping supported off the tank). The thermal movement of the Clean and Purifier Discharge nozzles is conservatively calculated as linear thermal expansion and summarized below. Clean Line Case 1 Case 2 Case 3 Case 4 X (radial) Y (vertical) Z (longitudinal) Purifier Discharge Line Case 1 Case 2 Case 3 Case 4 X (radial) Y (vertical) Z (longitudinal) Seismic movement of the Clean / Purifier Discharge nozzles is shown to be negligible through the hand calculations below. From the tank design calculations [8], the seismic design force for the carbon steel tanks is known to be 47,900 lbs. The length (L) from the fixed saddle to the nozzles is 31.5 feet [9]. As the wind loads are smaller than the seismic loads [8], the wind movement is also negligible. Axial Displacement δ = PL AE δ = (π( 11x12 2 (47,900)(31.5 x 12) Lateral / Vertical Displacement ) 2 π( 11x12 0.8) 2 )(29 x ) ([9], equation 2.7) = 0.002" Pressure System Documentation - Storage Tank Piping Stress Analysis Page 10

11 Author(s): Scott Kaminski Page 11 of 25 Treat as a 31.5 foot long uniformly loaded beam δ = WL3 8EI δ = (47,900)(31.5 x 12) 3 ([10]) 8π = 0.016" 64 ((11x12)4 (11x12 2x0.8) 4 )(29 x 10 6 ) Relief Valve Reaction Force Friction Supports Flanges The relief valve discharge reaction forces from the valve manufacturer [11] are applied to Case 4. The reaction force from the Tube Trailer Fill Line relief valve (RV11029) is 249 lbs upward at the outlet of the elbow. The reaction force from the Storage Tank relief valves (RV11100A/B, RV11200A/B, etc) is 249*sin(5 )/2 = 11 lbs upward at each outlet of the tee. In calculating pipe stresses, nozzle loads and pipe displacements, friction is conservatively ignored (in line with ASCE 7-10 [3] ). In calculating support loads, friction is considered. The steel-to-steel coefficient of friction at the supports is assumed to be 0.5. In accordance with the design, U-bolts are modeled to reflect a loose installation. In other words, a gap of half the difference between the inner U-bolt dimension and the pipe outer diameter on both sides and the difference between the inner U- bolt dimension and the pipe outer diameter above the pipe is included. Oversized Unistrut pipe straps and Weld Straps are modeled in the same way. Pipe size Unistrut 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. Support movement due to seismic / wind displacement. Negligible anchor movements (less than 1/32 ) are not included in the model. As such, the only anchor movement imposed on the model is a conservative displacement of 0.1 at the Fill Station filter anchor (see Section 9). 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 (a), is summarized in the equation below (from Pressure System Documentation - Storage Tank Piping Stress Analysis Page 11

12 Author(s): Scott Kaminski Page 12 of 25 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. Combinations P Total = P + P eq P Total = P + 16M (πg 3 ) + 4F πg 2 To reduce the conservatism of this approach to a more reasonable level, the total calculated pressure is compared to 110% of the ASME B [12] flange pressure rating for normal design operating conditions and 150% (equal or less than the flange hydrotest pressure) for occasional operating conditions. The design load combinations are specified in ASME B31.3 and ASCE 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, in accordance with ASCE and , are below. Note that ρ = 1 per ASCE and pressure (P) and temperature (T, expansion from ambient / install temperature to case temperature) apply to all load combinations. 5a. ( S DS ) D + 0.7ρQ E + P + T 5b. (1.0) D + 0.6W + P + T 7. (0.6) D + 0.6W + P + T 8. ( S DS ) D + 0.7ρQ E + P + T The five potential strength determining load combinations, in accordance with ASCE and , are below. Note that ρ = 1 per ASCE and pressure and temperature loads apply to all load combinations. 1. (1.4) D + P + T 4. (1.2) D + 1.0W + P + T 5. ( S DS ) D + ρq E + P + T 6. (0.9) D + 1.0W + P + T 7. ( S DS ) D + ρq E + P + T The ASME B31.3 code required combinations are below. Hoop Sustained Pressure Gravity + Pressure Pressure System Documentation - Storage Tank Piping Stress Analysis Page 12

13 Author(s): Scott Kaminski Page 13 of 25 Expansion Expansion Occasional Occasional Minimum to Maximum Temperature Ambient / Install Temperature to Case Temperature Sustained + Earthquake 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 loads cases is significantly more conservative than required by code. Combination Component Allowable Limit Reference Hoop Pipe Stress E j x S Sustained Pipe Stress S (c) Expansion Max Pipe Stress S A (d) Expansion Cases 1-4 Pipe Stress S A (d) Occasional Earthquake Pipe Stress 1.33 S Occasional Wind Pipe Stress 1.33 S Gravity + Pressure + Temperature (Cases 1-4) Flange Pressure 1.1 F See above Pipe Stress 1.33 S Pipe Displacement NA ASCE 7-10 Stress 5a Flange Pressure 1.5 F See above Nozzle Loads Per Fabricator U-Bolts Pipe Stress 1.33 S Pipe Displacement NA ASCE 7-10 Stress 5b Flange Pressure 1.5 F See above Nozzle Loads Per Fabricator U-Bolts Pipe Stress 1.33 S Pipe Displacement NA ASCE 7-10 Stress 7 Flange Pressure 1.5 F See above Nozzle Loads Per Fabricator U-Bolts Pipe Stress 1.33 S Pipe Displacement NA ASCE 7-10 Stress 8 Flange Pressure 1.5 F See above Nozzle Loads Per Fabricator U-Bolts Pressure System Documentation - Storage Tank Piping Stress Analysis Page 13

14 Author(s): Scott Kaminski Page 14 of 25 ASCE 7-10 Strength 1 ASCE 7-10 Strength 4 ASCE 7-10 Strength 5 ASCE 7-10 Strength 6 ASCE 7-10 Strength 7 Pipe Straps Anchors Pipe Straps Anchors Pipe Straps Anchors Pipe Straps Anchors Pipe Straps Anchors Notes: 1. S = Basic Allowable Stress per Table A-1 in ASME B S A = Allowable Displacement Stress Range per ASME B (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, K d, is conservatively taken to be 1.0 (instead of 0.95). - The allowable displacement stress range is calculated by ASME B (d) equation 1(b). - The three way diverter valve is modeled as a tee with a concentrated weight equal to that of the valve. Figure 5: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Overview Pressure System Documentation - Storage Tank Piping Stress Analysis Page 14

15 Author(s): Scott Kaminski Page 15 of 25 Figure 6: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Close-Up 1 Figure 7: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Close-Up 2 Pressure System Documentation - Storage Tank Piping Stress Analysis Page 15

16 Author(s): Scott Kaminski Page 16 of 25 Figure 8: AutoPIPE Relief Line Model 5.0 Piping Evaluation Stress Stress ratio plots 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. Pressure System Documentation - Storage Tank Piping Stress Analysis Page 16

17 Author(s): Scott Kaminski Page 17 of 25 Figure 9: AutoPIPE Fill Station, Dirty, Clean and Purifier Discharge Model Stress Plot Pressure System Documentation - Storage Tank Piping Stress Analysis Page 17

18 Author(s): Scott Kaminski Page 18 of 25 Figure 10: AutoPIPE Stress Plot Close-Up 1 Figure 11: AutoPIPE Stress Plot Close-Up 2 Pressure System Documentation - Storage Tank Piping Stress Analysis Page 18

19 Author(s): Scott Kaminski Page 19 of 25 Figure 12: AutoPIPE Relief Line Model Stress Plot Pressure System Documentation - Storage Tank Piping Stress Analysis Page 19

20 Displacement Pressure System Documentation-Calculations Author(s): Scott Kaminski Page 20 of 25 Fill Station, Dirty, Clean and Purifier Discharge Model Maximum Ratio Combination ( Calculated Stress / Node Direction Allowable Stress) Hoop 0.49 CF09 NA Sustained 0.38 CF09 NA Expansion 0.60 F10 Max Range Occasional 0.97 D03 F- Seismic +100% x, +30% z, +y ASCE 7-10 Stress 5a 0.84 F10 Seismic -30% x, -100% z, +y Relief Line Model Combination Maximum Ratio ( Calculated Stress / Node Direction Allowable Stress) Hoop 0.25 G02 NA Sustained 0.16 B09 NA Expansion 0.12 B01 NA Occasional 0.53 A01 Seismic -30% x, -100% z, +y ASCE 7-10 Stress 5a 0.24 A01 Seismic -30% x, -100% z, +y The maximum displacement and the node where this movement occurs is provided in the tables below. The system displacements are reasonable for all load cases / combinations. Fill Station, Dirty, Clean and Purifier Discharge Model Maximum Displacement Node 1.64 D36 Relief Line Model Maximum Displacement Node 0.17 E02 / F02 Pressure System Documentation - Storage Tank Piping Stress Analysis Page 20

21 Author(s): Scott Kaminski Page 21 of 25 Vacuum Components 6.0 Flange Evaluation The pipe is capable of full vacuum as described below. Per 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 [13]. Following these sections, the greatest length to diameter ratio (50) in ASME BPVC Section II [14] Figure G is selected. The greatest diameter to thickness ratio for this scope is associated with 4 schedule 10 pipe (4.5 /.120 *.875). Conservatively from this D 0 /t ratio, a Factor A of.0004 is obtained from Figure G. From Figure HA-1, a temperature of 100 F and this Factor A, a Factor B of 5,500 is obtained. From Step 6 in UG-28, a maximum external pressure significantly greater than full vacuum is calculated. P ext = P ext = 4 (5,500) 3 (43) 4 B 3 ( D 0 t ) = 171 psi Confirmation of the pipe vacuum rating is provided by the Engineering Toolbox [15] and the Welded Steel Pipe Design Manual [16]. 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. The maximum flange ratio (total pressure / 1.1 or 1.5 flange rating) and the combination / flange where this pressure occurs is provided in the tables below. As these figures / tables demonstrate, the total pressures are within defined flange ratings (1.1 or 1.5 flange rating) for all load cases / combinations. Fill Station, Dirty, Clean and Purifier Discharge Model Combination Gravity + Pressure + Temperature (Cases 1-4) Maximum Total Pressure / 1.1 or 1.5 Flange Rating Node Direction 0.62 AT12 NA ASCE 7-10 Stress 5a / AT12 Seismic +100% x, +30% z, -y Pressure System Documentation - Storage Tank Piping Stress Analysis Page 21

22 Author(s): Scott Kaminski Page 22 of 25 Combination Gravity + Pressure + Temperature (Cases 1-4) Relief Line Model Maximum Total Pressure / 1.1 or 1.5 Flange Rating Node Direction 0.87 B06 NA ASCE 7-10 Stress 5b / A Equipment Nozzle Evaluation Seismic -100% x, -30% z, -y The maximum loads on each equipment nozzle are provided in the table below and compared to the allowable nozzle loads. As these tables demonstrate, the nozzles loads are less than the allowable nozzle loads for all load cases / combinations. He Gas Storage Tanks Nozzle Maximum Loads Allowable Loads Tank Radial: 78 lbs Long Shear: 57 lbs Radial: 1,000 lbs Long Shear: 1,000 lbs Clean Line Circ Shear: 41 lbs Circ Shear: 1,000 lbs 111 Long Moment: 200 ft-lbs Long Moment: 500 ft-lbs 116 Circ Moment: 89 ft-lbs Torsion: 37 ft-lbs Circ Moment: 500 ft-lbs Torsion: 500 ft-lbs Purifier Discharge Line Dirty Line Relief Line Radial: 62 lbs Long Shear: 62 lbs Circ Shear: 46 lbs Long Moment: 171 ft-lbs Circ Moment: 49 ft-lbs Torsion: 26 ft-lbs Radial: 283 lbs Long Shear: 305 lbs Circ Shear: 283 lbs Long Moment: 313 ft-lbs Circ Moment: 245 ft-lbs Torsion: 446 ft-lbs Radial: 180 lbs Long Shear: 640 lbs Circ Shear: 423 lbs Long Moment: 288 ft-lbs Circ Moment: 309 ft-lbs Torsion: 330 ft-lbs Radial: 1,000 lbs Long Shear: 1,000 lbs Circ Shear: 1,000 lbs Long Moment: 500 ft-lbs Circ Moment: 500 ft-lbs Torsion: 500 ft-lbs Radial: 1,000 lbs Long Shear: 1,000 lbs Circ Shear: 1,000 lbs Long Moment: 500 ft-lbs Circ Moment: 500 ft-lbs Torsion: 500 ft-lbs Radial: 1,000 lbs Long Shear: 1,000 lbs Circ Shear: 1,000 lbs Long Moment: 500 ft-lbs Circ Moment: 500 ft-lbs Torsion: 500 ft-lbs NA Pressure System Documentation - Storage Tank Piping Stress Analysis Page 22

23 Author(s): Scott Kaminski Page 23 of Support Evaluation The maximum loads on each support type are provided in the tables below and compared to the allowable support loads. As these tables demonstrate, the support loads are less than the allowable loads for all load cases / combinations. In this application the pipe does not contact the oversized Unistrut pipe straps / U-bolts, so an impact factor is not applicable (ASME B31E 3.7.4). Support Type 4 Pipe Strap 4 U-Bolt / Weld Strap 2 U-Bolt 1-1/4 U-Bolt 3/4 U-Bolt Filter Anchor Fill Station, Dirty, Clean and Purifier Discharge Model Maximum Loads Axial: 192 lbs Lateral: 584 lbs Vertical: 631 lbs Lateral: 173 lbs Vertical: 866 lbs Lateral: 268 lbs Vertical: 289 lbs Lateral: 215 lbs Vertical: 231 lbs Lateral: 121 lbs Vertical: 20 lbs Fx: 200 lbs Fy: 450 lbs Fz: 150 lbs Mx: 120 ft-lbs My: 70 ft-lbs Mz: 40 ft-lbs Allowable Loads Axial: 200 lbs [17] Lateral: 1,000 lbs [17] Vertical: 1,000 lbs [17] Lateral: 675 lbs [18] Vertical: 2,700 lbs [18] Lateral: 365 lbs [18] Vertical: 1,460 lbs [18] Lateral: 365 lbs [18] Vertical: 1,460 lbs [18] Lateral: 145 lbs [18] Vertical: 580 lbs [18] See below Node D01 C01 C01 BK04 BK04 Relief CH02F CF15 CH06 CF33 The filter anchor loads are judged acceptable through the Fill Station Structural Analysis ( A0001). 9.0 Associated Analyses / Documents Structural analyses, pipe stress reports and pressure system documentation related to this report are listed below P0006 CP1/CP2 Helium Recovery, Etc Piping (79120-PS- 111, 211) Stress Analysis A0001 Fill Station Structural Analysis Pressure System Documentation - Storage Tank Piping Stress Analysis Page 23

24 Author(s): Scott Kaminski Page 24 of A0002 Tank Farm Helium Pipe Support Structural-Anchor Analysis P7001 Cryoplant Component List P9001 Cryoplant 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 References [1] Process Piping, ASME B [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 # G [7] Horizontal Helium Gas Storage Tank, Modern Custom Fabrication [8] Structural Calculations for 30,000 Gallon Helium Gas Storage Tanks, John F Bradley Job [9] Mechanics of Materials, Beer, Johnston Jr and DeWolf 3 rd Ed [10] [11] RE: Flow Safe F84, F7350 Thrust Values, 3/14/17 from Flow Safe (on file at JLab) [12] Pipe Flanges and Flanged Fittings, ASME B [13] Rules for Construction of Pressure Vessels, ASME BPVC Section VIII, Division [14] Materials, ASME BPVC Section IID-2015 [15] [16] Welded Steel Pipe Design Manual, American Iron and Steel Institute Edition, p. 17 [17] P2558 Pipe Strap Design Load Report, Unistrut International July 24, 2006 [18] Pipe Hangers and Supports, Anvil International July 16, 2009 Pressure System Documentation - Storage Tank Piping Stress Analysis Page 24

25 Author(s): Scott Kaminski Page 25 of 25 Appendix A AutoPIPE Models / Reports The model and output files listed below are on file at JLab and can be provided upon request. FILE TYPE AutoPIPE Model AutoPIPE Output Report AutoPIPE Output Report AutoPIPE Output Report AutoPIPE Output Report AutoPIPE Flange Report AutoPIPE Flange Report AutoPIPE Flange Report AutoPIPE Flange Report AutoPIPE Results Database AutoPIPE Results Database AutoPIPE Results Database AutoPIPE Results Database AutoPIPE Model AutoPIPE Output Report AutoPIPE Output Report AutoPIPE Output Report AutoPIPE Output Report AutoPIPE Flange Report AutoPIPE Flange Report AutoPIPE Flange Report AutoPIPE Flange Report AutoPIPE Results Database AutoPIPE Results Database AutoPIPE Results Database AutoPIPE Results Database FILE NAME Tank Farm Final ( ).dat Tank Farm Final ( ) Seismic 1-4.xps Tank Farm Final ( ) Seismic 5-8.xps Tank Farm Final ( ) Seismic 9-12.xps Tank Farm Final ( ) Seismic xps Tank Farm Final ( ) Flange 1-4.xps Tank Farm Final ( ) Flange 5-8.xps Tank Farm Final ( ) Flange 9-12.xps Tank Farm Final ( ) Flange xps Tank Farm Final ( ) Seismic 1-4.mdb Tank Farm Final ( ) Seismic 5-8.mdb Tank Farm Final ( ) Seismic 9-12.mdb Tank Farm Final ( ) Seismic mdb Relief Final ( ).dat Relief Final ( ) Seismic 1-4.xps Relief Final ( ) Seismic 5-8.xps Relief Final ( ) Seismic 9-12.xps Relief Final ( ) Seismic xps Relief Final ( ) Flange 1-4.xps Relief Final ( ) Flange 5-8.xps Relief Final ( ) Flange 9-12.xps Relief Final ( ) Flange xps Relief Final ( ) Seismic 1-4.mdb Relief Final ( ) Seismic 5-8.mdb Relief Final ( ) Seismic 9-12.mdb Relief Final ( ) Seismic mdb These files are located in the folder path indicated below. M:\cryo\LCLS II ANALYSIS FOLDER\Tank Farm Helium Piping\PRESSURE SYSTEMS Pressure System Documentation - Storage Tank Piping Stress Analysis Page 25