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PVEng

Pressure Vessel Engineering Ltd. ASME Calculations - CRN Assistance - Vessel Design - Finite Element Analysis

Design Conditions Code: ASME VIII-1 Year: 2007 Addenda: 2009 MAWP: 300

psi

MEAWP: 0

psi

Max. Temp.: 250

°F

MDMT: -20

°F

MDMT Press.: 300

psi

Finite Element Analysis Report - VIII-1 Cust: File: Desc: Dwg: Date:

N/A PVEfea-4431-6.1 Hydraulic Manifold Block PVEdwg-4431-6.1 December 13, 2011

Min. Thk. (UG-16b): 0.0625 Corrosion Allowance: 0 Hydrotest: 390

in psi

Impact Testing: None Impact Exemption: UHA-51(d) Radiography: None

UG-22 Loadings Considered Internal Press.: Yes External Press.: No Vessel Weight: No Weight of Attachments: No Attachment of Internals: No Attachment of Externals: No Cyclic or Dynamic Reactions: No Wind Loading: No Seismic Loading: No Fluid Impact Shock Reactions: No Temperature Gradients: No Differential Thermal Expansion: No Abnormal Pressures: No

Author: Cameron Moore Reviewer: Laurence Brundrett, P. Eng.

Hydrotest Loads: No

Conclusion: The Hydraulic Manifold Block PVEdwg4431-6.0 is acceptable for ASME VIII-1 use at 300 psi and 250˚F.

www.pveng.com [email protected] Phone 519-880-9808

Pressure Vessel Engineering Ltd. 120 Randall Drive, Suite B Waterloo, Ontario, Canada, N2V 1C6

Table of Contents Description Cover Table of Contents Executive Summary Stress Limits Model Mesh Error

Rev 0 Release 1 Update Report Captions

13-Dec-11 Page 1 2 3 4 5 6 7

Description Restraints Loads Reaction Forces Displacement Stress Stress

Revision(s) Description

Page 2 of 13 Page 8 9 10 11 12 13

Date By 12-Aug-10 CBM 13-Dec-11 CBM

Executive Summary ver 4.00

Page 3 of 13

Goal: The Hydraulic Manifold Block PVEdwg-4433-6 will be used under ASME VIII-1 service. This block cannot be calculated to ASME VIII-1 code rules due to the complexity of its geometry. The rules of VIII-2 are used with VIII-1 allowed stresses to determine the acceptability. Summary Conclusions: Analysis Software SolidWorks Simulation 2010 SP4.0 Analysis Type A static linear elastic study is performed using small displacement theory. Materials Material strength properties used in this report are obtained from ASME IID, Table 1A, and are suitable for VIII-1 components. The rules of ASME VIII-2 are used to set the stress limits. Model and Mesh The model used in this report represents the full hydraulic manifold block. Pipes are added in to transfer axial loads to the openings and simulate the effect of a closed loop piping system. A 0.125" second order tetrahedral mesh has been applied globally to the entire model. This results in an error of under 5% and is therefore valid. The reported reaction forces match those computed theoretically. The model is in balance and can be used for displacement analysis. Restraints & Loads One pipe is fixed; this prevents translation of the model in all three primary planes. The interior cavities and attached pipes are pressurized to 300 psi. When calculated theoretically, the actual reaction forces prove acceptable. The model is in balance and can be used for displacement and stress analysis.

Results The model has a maximum displacement of 0.0017". The displaced shape of the model is as expected and the magnitude of the displacement is acceptable. The model has a maximum peak stress of 3,043 psi. All stresses in the model are below the primary general membrane stress limit of 20,000 psi and is acceptable for ASME VIII-1 use. Analysis Conclusion: The Hydraulic Manifold Block PVEdwg-4431-6.1 is acceptable for ASME VIII-1 use at 300 psi and 250˚F.

Material Stress Limits ver 4.02 ASME VIII-2 Fig 5.1

Page 4 of 13

Material Input Chart: Temperature [ºF] Material = Application = Sm [psi] = Sy [psi] = Sya [psi] = Sta [psi] = E1 = E2 = E [psi] = v= Coef = Pm [psi] = Pl [psi] = Pl+Pb [psi] = Pl+Pb+Q [psi] = Prop. Sources Comments

Material 1 SA-479 316 Manifold Block 20,000 24,600 30,000 75,000 1.0 1.0 27,250,000 0.30 20,000 30,000 30,000 60,000

Variable Descriptions: VIII-2 5.13 Sm (basic allowable) Sta (tensile strength at ambient temp.) E1 (weld efficiency) E2 (casting efficiency)

Material 2 SA-312 TP316 Attached Pipes 20,000 24,600 30,000 75,000 1.0 1.0 27,250,000 0.30

Material 3 SA-403 316 Pipe Caps 20,000 24,600 30,000 75,000 1.0 1.0 27,250,000 0.30

Material 4

20,000 20,000 30,000 30,000 30,000 30,000 60,000 60,000 ASME II-D 2007 Edition, 2009 Addenda

Sya (yield strength at ambient temp.) E (modulus of elasticity) - IID Table TM-1 v (Poison's ratio) - IID Table PRD Coef (coefficient of thermal expansion)

Stress Limit Equations: VIII-2 Figure 5.1 Pm = E1*E2*Sm~~general primary membrane stress intensity limit (material only) Pm = 2*Sm~~general primary membrane stress intensity limit (bolting combine operation +seating) Pl = 1.5*E1*E2*Sm~~local membrane stress intensity limit Pl+Pb = 1.5*E1*E2*Sm~~primary membrane + primary bending stress intensity limit (material only) Pl+Pb = 3*Sm~~primary membrane + primary bending stress intensity limit (bolting combine operation + seating) Pl+Pb+Q = Max(3*E1*E2*Sm,2*E1*E2*Sy)~~primary + secondary stress intensity (2*Sy only valid for Sya/Sta