2K Cold Box Structural Analysis Shirley Yang, Scott Kaminski LCLS-II 2 K Cold Box FDR March 9, 2017

Stress, Displacement and Buckling Center Column Design Outline Design Parameters Mechanical Seismic Loads Stress, Displacement and Buckling Center Column Design Anchor & Shear Key Design Documentation Conclusion LCLS-II 2 K CBX FDR, Mar 9, 2017

2K Cold Box Structure 2K cold box structure is analyzed per PART 5 Design by Analysis Requirements of ASME Section VIII, Division 2. 12’1” OD 2” thick top plate; SA240, 304 SS. 12’ OD 1 1/4” thick top skirt; SA240, 304SS. 12’ OD 3/4” thick shell; SA516 Gr. 70, CS. 12’ OD 3/4” thick bottom head; SA516 Gr. 70, CS. 12’ OD 1/2” thick bottom skirt; A36, CS. LCLS-II 2 K CBX FDR, Mar 9, 2017

Material Properties Young’s Modulus (psi) Poisson’s Ratio 0.29 Density (lb/in^3) SA516 Gr. 70 CS RT 2.90E+07 0.26 0.28 RT = room temperature LCLS-II 2 K CBX FDR, Mar 9, 2017

Allowable Stress Per BPVC S8 The table below lists the allowed stresses for each stress category as defined in the BPVC, S8, Div. 2, paragraphs 5.2.2.4(e) and 5.5.6.1(d). Allowable Stresses for Each Stress Category (ksi) at Room Temp. Material Stress Category Pm PL PL + Pb PL + Pb + Q SA240, 304SS 20 30 60 SA516 Gr. 70 Pm = primary membrane stress ≤ S (per BPVC S8D2 paragraph 5.2.2.4(e)) PL = primary local membrane stress ≤ 1.5×S (per BPVC S8D2 paragraph 5.2.2.4(e) Pb = primary bending stress Q = secondary stress (PL + Pb) ≤ 1.5×S (per BPVC S8D2 paragraph 5.2.2.4(e)) (PL + Pb + Q) ≤ 3×S (per BPVC S8D2 paragraph 5.5.6.1(d)) LCLS-II 2 K CBX FDR, Mar 9, 2017

Seismic Load Cal – ASCE 7-10 LCLS-II 2 K CBX FDR, Mar 9, 2017

Seismic Load Cal – ASCE 7-10 Cont. LCLS-II 2 K CBX FDR, Mar 9, 2017

Boundary Conditions – Worse Case Scenario Vacuum is applied to the vessel The standard earth gravity and the seismic acceleration are applied to the vessel LCLS-II 2 K CBX FDR, Mar 9, 2017

Boundary Conditions – Worse Case Scenario Cont. 3. The moments from the AutoPipe on cold compressor nozzles and bayonets for worst cases are applied to the mounting plate. 4. The forces from the AutoPipe on cold compressor nozzles and bayonets are applied to the nozzle areas. 5. The seismic acceleration loads of cold compressors and motors are applied to the center of gravity of the CC system. 6. The bottom skirt surface is fixed. LCLS-II 2 K CBX FDR, Mar 9, 2017

Von-Mises Stresses The peak stress on the top plate is 15.7 ksi, less than the allowable stress, which is 20 ksi. LCLS-II 2 K CBX FDR, Mar 9, 2017

Von-Mises Stress – Top Groove Weld 0.5” groove weld between the top plate and top skirt LCLS-II 2 K CBX FDR, Mar 9, 2017

Von-Mises Stress – Middle Groove Weld 0.25” groove weld between the top skirt and the shell body. LCLS-II 2 K CBX FDR, Mar 9, 2017

Von-Mises Stress – Bottom Groove Weld 0.375” groove weld between the shell body and bottom head are extracted LCLS-II 2 K CBX FDR, Mar 9, 2017

Deformation The maximum deformation is 0.176”, which is located in the compressors CC4 to CC6 area. But the “relative” deformation in each compressor area is less than the required tolerance, which is 1/16”. LCLS-II 2 K CBX FDR, Mar 9, 2017

Vessel Buckling Buckling modes were checked for the vessel since it is under the vacuum at the normal operation condition. The minimum buckling factor is 14.2. Therefore, buckling is not a concern for the vessel. LCLS-II 2 K CBX FDR, Mar 9, 2017

Thermal and Structure Consideration of the Center Column 6” Sch. 80 304SS pipe 1/8” thick copper layer with a heat strap Top and bottom plates as well as spider ribs LCLS-II 2 K CBX FDR, Mar 9, 2017

Anchor Design Twelve 3/4” F1554 Grade 36 anchors equally spaced on a 150.5” diameter. Hilti HIT-RE 500 V3 adhesive anchoring system with an effective embedment depth of 12.5”. Anchors chairs with a top face 7” above the baseplate top face (gauge / stretch length of more than eight diameters). LCLS-II 2 K CBX FDR, Mar 9, 2017

Operating weight of 41,000 lbs and a 7’-6” center of gravity Anchor Design Operating weight of 41,000 lbs and a 7’-6” center of gravity ASCE 7-10 12.4.2.3 Load Combination 7 (0.9 - 0.2 SDS) D + ρQE Design Loads Vertical = -20,700 lbs ρQE (Mx) = 7,262,000 in-lbs ρQE (My) = 2,178,600 in-lbs The anchor bolts are suitable if the nominal bond and concrete breakout utilizations are less than 120% of the nominal steel utilization (the anchor embedment develops the steel strength of the anchor in tension) and the applied loads do not exceed the reduced steel, bond and concrete breakout strengths. LCLS-II 2 K CBX FDR, Mar 9, 2017

120% Nominal Steel Strength Nominal Concrete Breakout Strength Anchor Design   120% Nominal Steel Strength Nominal Bond Strength Nominal Concrete Breakout Strength Tension Utilizations 39.4% 23.3% 38.1% Reduced Strength Steel Reduced Strength Bond Reduced Strength Concrete Breakout 63.3% 47.7% 78.1% LCLS-II 2 K CBX FDR, Mar 9, 2017

Twelve 4” XXS A106 Grade B pipes equally spaced on a 150” diameter. Shear Key Design Twelve 4” XXS A106 Grade B pipes equally spaced on a 150” diameter. 7.625” long such that they extend 4” into the concrete slab Two 1.5” diameter holes to facilitate the flow of grout LCLS-II 2 K CBX FDR, Mar 9, 2017

ASCE 7-10 12.4.2.3 Load Combination 5 Shear Key Design ASCE 7-10 12.4.2.3 Load Combination 5 (1.2 + 0.2 SDS) D + ρQE + L + 0.2S Design Loads V = 168,600 lbs Suitable if the bearing strength of the concrete exceeds the applied bearing load, the reaction shear load does not yield the shear key in shear, the resulting moment does not yield the shear key in bending and the attachment weld is sufficient for the shear / moment applied at the shear key-baseplate connection.   Concrete Bearing Pipe Shear Stress Pipe Bending Stress Attachment Weld Utilizations 48.6% 36.1% 69.8% 91.2% LCLS-II 2 K CBX FDR, Mar 9, 2017

Anchor Structure – Boundary Condition The normal operation weight is 41,000 lbf for the 2K CB. 1.968g is applied to the X axial, and 0.59g is applied to the Z axial. Since the tensile load on anchors will be greater when there is less weight to resist overturning, -0.51g is applied to the Y axial. Thus a remote force of 80,700 lbf (41,000 lbf*1.968) in X axial, -20,700 (-41,000 lbf*0.51)lbf in Y axial and 24,200 (41,000lbf * 0.59)lbf in Z axial which is 90” above the baseplate is applied to the model. LCLS-II 2 K CBX FDR, Mar 9, 2017

Anchor Structure – Stress The peak von-Mises stress is 49.1ksi. But it is caused by singularity, which can be safely ignored. The average stress is far below the yield strength, which is 36 ksi. LCLS-II 2 K CBX FDR, Mar 9, 2017

Anchor Structure – Stress cont. LCLS-II 2 K CBX FDR, Mar 9, 2017

Nozzle Weldment and Reinforcement LCLS-II 2 K CBX FDR, Mar 9, 2017

Nozzle Weldment and Reinforcement Cont. LCLS-II 2 K CBX FDR, Mar 9, 2017

Nozzle Weldment and Reinforcement Cont. LCLS-II 2 K CBX FDR, Mar 9, 2017

Documentation Document No. Title Author Status 79222-P0002 2K Cold Box Structure Analysis Report S. Yang In Development 79222-A0001 2K Cold Box Anchor-Shear Key Calculations S. Kaminski Submitted for Review 79120-0038 LCLS-II General Equipment Layout Cold Box Room J. Tschirhart Released 79222-0020 LCLS-II 2K Cold Box Shipped Assembly D. Rath In Progress LCLS-II 2 K CBX FDR, Mar 9, 2017

Structural Analysis Conclusion Structural design of the vessel meets the normal operation condition with the seismic effect. The center column will be heat intercepted with copper layer to reduce the thermal shrinkage. Double fillet lap joint will be used to weld nozzles to shell. No reinforcement pad is required on openings. Design acceptable using ASME B&PVC Sect VIII Div. I and Div. II. LCLS-II 2 K CBX FDR, Mar 9, 2017