Elasti-Plastic Analysis of 30”-2500# (42” OD) Swivel Flange Assembly Prepared for JP Kenny, COOEC & CNOOC March 11, 2011 Rev B
Taper-Lok Corporation 13770 Industrial Road Houston, TX 77015
Contents 1 Overview
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2 Report Limitations
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3 Introduction
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4 Model Information 4.1 Assembly Information . . . . . . . . . . . . . . . . . . 4.2 Material Information . . . . . . . . . . . . . . . . . . . 4.2.1 Material Assignments . . . . . . . . . . . . . . 4.2.2 Elastic Properties . . . . . . . . . . . . . . . . 4.2.3 Plastic Properties . . . . . . . . . . . . . . . . 4.3 Boundary Conditions . . . . . . . . . . . . . . . . . . . 4.3.1 Swivel Flange Assembly Boundary Conditions . 4.4 Constraints . . . . . . . . . . . . . . . . . . . . . . . . 4.4.1 Swivel Flange Assembly Constraints . . . . . . 4.5 Contact Interactions . . . . . . . . . . . . . . . . . . . 4.5.1 Swivel Flange Assembly Contact Interactions . 4.6 Load Cases . . . . . . . . . . . . . . . . . . . . . . . .
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5 Results 16 5.1 Global Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 5.2 Local Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 5.3 Design Pressure - Service Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 A Assembly Drawing
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B Component Mesh Plots
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C Swivel Flange Assembly Local Failure Check C.1 Female Flange Local Failure Check . . . . . . C.2 Male Fitting Local Failure Check . . . . . . . C.3 Seal Ring Local Failure Check . . . . . . . . . C.4 Swivel Local Failure Check . . . . . . . . . .
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D Component Stress D.1 Bolt . . . . . . D.2 Fitting . . . . . D.3 Seal . . . . . . D.4 Swivel . . . . . D.5 Weld Neck . . .
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References
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List of Tables 1 2
Material Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Elastic Table . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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Report# TL-FEA-11-30-2500-SFA
List of Figures 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49
Swivel Flange Assembly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Assembly Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Sealing Area Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ASTM A694 F70 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . AISI 4130 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . A320 L7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Symmetry Boundary Condition for Swivel Flange Assembly . . . . . . . . . . . . Fixed End Boundary Condition for Swivel Flange Assembly . . . . . . . . . . . . Tie Constraint Between Bolt and Swivel for the Swivel Flange Assembly . . . . . Tie Constraint Between Bolt and Weld Neck for the Swivel Flange Assembly . . Tie Constraint Between Swivel and Male Fitting for the Swivel Flange Assembly Surface to Surface Contact for the Nose and Pocket Swivel Flange Assembly . . . Surface to Surface Contact for the Seal and Pocket Swivel Flange Assembly . . . Surface to Surface Contact for the Seal and Nose Swivel Flange Assembly . . . . Load Cases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Area of Bolt Load Application on the Swivel Flange Assembly . . . . . . . . . . Area of the End Cap Load on the Swivel Flange Assembly . . . . . . . . . . . . . Area of Internal Pressure Application on the Swivel Flange Assembly . . . . . . Location of External Load Application . . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Assembly von Mises Plot . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Assembly Equivalent Plastic Strain Plot . . . . . . . . . . . . . . . Swivel Flange Assembly von Mises Plot . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Assembly Equivalent Plastic Strain Plot . . . . . . . . . . . . . . . Swivel Flange Assembly Seal Area Equivalent Plastic Strain Plot . . . . . . . . . Swivel Flange Assembly Maximum Principal Stress Plot . . . . . . . . . . . . . . Swivel Flange Assembly Middle Principal Stress Plot . . . . . . . . . . . . . . . . Swivel Flange Assembly Minimum Principal Stress Plot . . . . . . . . . . . . . . Histogram of Local Failure Unity Check . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Assembly von Mises After Design Loads Are Applied . . . . . . . . Swivel Flange Assembly Plastic Strain After Design Loads Are Applied . . . . . Seal Ring Contact Pressure Male Side After Design Loads Are Applied . . . . . . Seal Ring Contact Pressure Female Side After Design Loads Are Applied . . . . 30”-2500# Swivel Assembly Drawing . . . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Assembly Bolt Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . Fitting Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Seal Ring Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Weld Neck Flange Mesh . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bolt von Mises Plot 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Bolt von Mises Plot 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fitting von Mises Plot 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Fitting von Mises Plot 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Seal von Mises Plot 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Seal von Mises Plot 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Seal von Mises Plot 3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange von Mises Plot 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . Swivel Flange von Mises Plot 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . Weld Neck Flange von Mises Plot 1 . . . . . . . . . . . . . . . . . . . . . . . . . . Weld Neck Flange von Mises Plot 2 . . . . . . . . . . . . . . . . . . . . . . . . . .
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Report# TL-FEA-11-30-2500-SFA
1
Overview
This report details the analysis of a 30”-2500# Taper-Lok swivel flange assembly with a smaller outside diameter (OD) geometry. The analysis is based on Section VIII Division 2 Part 5[1] for Elastic-Plastic Analysis. Load cases for boltup, internal pressure & external loads were applied to the model. The results shown for the internal pressure & external loads shown in the analysis are in accordance with Part 5. The analysis demonstrates that the swivel flange assembly fully meets the criteria for protection against global collapse & protection against local failure.
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Report Limitations
The scope of this report is limited to the matters expressly covered. This report is prepared for the sole benefit of JP Kenny, COOEC & CNOOC. In preparing this report, Taper-Lok has relied on the design information provided by JP Kenny[2]. Taper-Lok has made no independent investigation as to the accuracy or completeness of such information and has assumed that such information was accurate and complete. All recommendations, findings, and conclusions stated in this report are based upon the facts and circumstances as they existed at the time that this report was prepared. A change in any fact or circumstance upon which this report is based may affect the recommendations, findings, and conclusions expressed in this report.
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Introduction
Taper-Lok designed the 30”-2500# swivel flange assembly for CNOOC Liwan project on the pipeline tie-in phase. Lay barge limitation required that the flange OD be limited to 42”. The purpose of this analysis is to perform a design check on the geometry for the given loads. Stress analysis of the geometrical non-linear assembly was performed using Abaqus/Standard 6.101[3], a general finite-element analysis (FEA) code. Non-linear material data was used for the analysis. The following sections detail the FEA procedures: model information, material properties, boundary conditions and loading, FE meshing, load cases, model validation and result post-processing.
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Model Information
2D drawings of the flange assembly and it’s components can be found in Appendix A. The FEA model is based on half assembly. Figure 1 shows the assembly model being analyzed. A one diameter length was added to the pipe ends of the model in order to normalize any secondary stresses at the pipe/flange transition. Boundary and load symmetry was applied to the model. The corrosion allowance was 2mm. The design temperature was 61◦ C.
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Figure 1: Swivel Flange Assembly
4.1
Assembly Information
8 node linear brick elements were used in all components of the assembly. Element size was determined such that areas experiencing high stresses and/or strains resulted in smooth transitions in value. Particular attention was given to areas of plastic strain. Also, element size was reduced where contact interaction was defined and sliding was anticipated. This lead to a fine mesh in and around the seal, female pocket, male nose areas and the swivel fitting areas of the assemblies. Figure 2 shows the Swivel Flange Assembly (SFA) mesh. Figure 3 shows the fine mesh around the sealing area.
Figure 2: Swivel Flange Assembly Mesh
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Figure 3: Sealing Area Mesh
4.2
Material Information
Table 1 shows the materials used in the assembly. The pipe was assigned just elastic properties since it was weaker than the pipe and experienced high strains during global loading. 4.2.1
Material Assignments
Table 1: Material Table Part Material Female Weldneck ASTM A694 F70 Male Fitting ASTM A694 F70 Seal Ring ASTM A694 F70 Swivel Flange AISI 4130 Studs SA-320 L7 Nuts SA-194 GR 4
4.2.2
Elastic Properties
Table 2 shows the elastic properties used for all the materials.
Material All Materials
4.2.3
Table 2: Elastic Table Young’s Modulus Poisson’s ratio 30,000,000 psi 0.3
Plastic Properties
Figures 4 - 6 show the Stress Strain curves used in the models [4]. 5
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Figure 4: ASTM A694 F70
Figure 5: AISI 4130
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Figure 6: A320 L7
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4.3 4.3.1
Boundary Conditions Swivel Flange Assembly Boundary Conditions
Symmetry boundary condition was applied to the cut through surface on the half model as shown in Figure 7. A displacement boundary condition (x=0) was applied to the pipe end of the male fitting to stabilize the model and to counteract the end cap load (figure 8).
Figure 7: Symmetry Boundary Condition for Swivel Flange Assembly
Figure 8: Fixed End Boundary Condition for Swivel Flange Assembly
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4.4
Constraints
Tie constraints were applied to the underside of each bolt head and its’ corresponding surface. This is an acceptable assumption given that the shear loads across this interface are very low which signify that slipping at these contact surfaces would not occur. Tie constraint was also added to the swivel/male fitting surfaces. 4.4.1
Swivel Flange Assembly Constraints
Figure 9: Tie Constraint Between Bolt and Swivel for the Swivel Flange Assembly
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Figure 10: Tie Constraint Between Bolt and Weld Neck for the Swivel Flange Assembly
Figure 11: Tie Constraint Between Swivel and Male Fitting for the Swivel Flange Assembly
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4.5
Contact Interactions
Surface to surface contact with finite sliding was defined for all other contact interactions. A coefficient of friction = 0.1 which is suitable for the low friction molybdenum coating applied to the surface of the seal was used for contact interactions involving the seal. 4.5.1
Swivel Flange Assembly Contact Interactions
Figure 12: Surface to Surface Contact for the Nose and Pocket Swivel Flange Assembly
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Figure 13: Surface to Surface Contact for the Seal and Pocket Swivel Flange Assembly
Figure 14: Surface to Surface Contact for the Seal and Nose Swivel Flange Assembly
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4.6
Load Cases
Two criteria were tested to fulfill the requirements of part 5. The global criteria and the local criteria. The requirements for each of these criteria are detailed in Table 5.5 of ASME VIII Division 2 Part 5. Figure 15 shows the load cases and steps applied to the model. The assembly has a design pressure of 3,423 psi with 32,674 psi bolt pre-stress. As such these values were multiplied by their respective load factors outlined in Table 5.5 of part 5 and shown in Figure 15. Two global load cases were analysied. The first load case had 2.1 for boltup and internal pressure with 2.6 for external loads & the second load case had 2.4 factor for boltup and internal pressure. The end cap loads were applied as uniform negative pressures acting on the pipe end, with the magnitude of this pressure calculated as the ratio of the bore area to the pipe internal area times the internal pressure. Figures 16 - 18 show the areas of the models where the loads were applied. Traixial strain check for the local criteria was performed with values from the global loads (factor of 2.4). This check covers both the 1.7 local failure check as well as 2.3 hydrostatic test check (since 2.4 is greater than the other two). The resultant loads (force & moment) were calculated and applied in the direction (for force)/about the axis (for moment) in which the biggest component acts.Therefore the load acts in the X axis and the moment is applied about the Z axis. This approximation keeps the analysis conservative while reducing processing runtime.
Figure 15: Load Cases
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Figure 16: Area of Bolt Load Application on the Swivel Flange Assembly
Figure 17: Area of the End Cap Load on the Swivel Flange Assembly
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Figure 18: Area of Internal Pressure Application on the Swivel Flange Assembly
Figure 19: Location of External Load Application
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5 5.1
Results Global Criteria
Acceptance for the Global Criteria is based on the stability of the model which is illustrated by the convergence of a solution. Figures 20-21 show the results of load case A(see Figure 15). As the models did converge, it met the Global Acceptance criteria.
Figure 20: Swivel Flange Assembly von Mises Plot
Figure 21: Swivel Flange Assembly Equivalent Plastic Strain Plot
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5.2
Local Criteria
Acceptance for the Local Criteria is based ASME VIII Division 2 Part 5. The criteria is determined by calculating the limiting triaxial strain (l ) at each element and comparing it to the equivalent plastic strain. Equation 1 shows the equation for l . Figures 22 - 27 show results of load case B (see Figure 15). Figure 28 shows a histogram for all the elements undergoing plastic stain for load case B. The unity check is the equivalent plastic strain normalized against the limiting triaxial strain. As can be seen in the histograms all values are below 1 and therefore pass the local criteria. Appendix ?? lists samples of the required values for each element to determine the limiting triaxial strain as well as the values for the computed triaxial strain. It should be pointed out that there is no data for the bolts. This is due to the fact that the bolts did not experience any plastic strain. All the element data are not included in this report as it would add many pages to this report therefore only a sample is provided. Data for each of the elements are available upon request. According to Part 5 section 5.3.3. n o αsl 2 +σ3 − 1 − 1+m [( σ1 +σ ) 3] 3σ
l = lu e
2
e
(1)
Where,
lu = max(m2 , Specified Elongation, Specified Reduction of Area) m2 = 0.6 (1.00 − R)
(For Ferritic Steel)
minimum specified yield strength R= minimum specified ultimate tensile strength
E Specified elongation = 2 · ln 1 + (For Ferritic Steel) 100 100 Specified Reduction of Area = ln (For Ferritic Steel) 100 − RA E = % elongation RA = % reduction in area αsl = 2.2
(For Ferritic Steel)
Appendix D shows multiple views of the von Mises plots for each components for the local failure cases. More details, including a complete mathematical description of the local criteria check can be found in Division 2, Criteria & Commentary[5].
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Figure 22: Swivel Flange Assembly von Mises Plot
Figure 23: Swivel Flange Assembly Equivalent Plastic Strain Plot
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Figure 24: Swivel Flange Assembly Seal Area Equivalent Plastic Strain Plot
Figure 25: Swivel Flange Assembly Maximum Principal Stress Plot
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Figure 26: Swivel Flange Assembly Middle Principal Stress Plot
Figure 27: Swivel Flange Assembly Minimum Principal Stress Plot
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Figure 28: Histogram of Local Failure Unity Check
5.3
Design Pressure - Service Criteria
Load case C was applied to the assembly to model the design pressure & design external loads. This load case is representative of the expected stresses and strains of the assemblies for design conditions. Figures 29 - 32 show the results of these load cases, including the contact pressure at the sealing surfaces of the seal ring.
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Figure 29: Swivel Flange Assembly von Mises After Design Loads Are Applied
Figure 30: Swivel Flange Assembly Plastic Strain After Design Loads Are Applied
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Figure 31: Seal Ring Contact Pressure Male Side After Design Loads Are Applied
Figure 32: Seal Ring Contact Pressure Female Side After Design Loads Are Applied
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A
Assembly Drawing
Figure 33: 30”-2500# Swivel Assembly Drawing
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B
Component Mesh Plots
Figure 34: Swivel Flange Assembly Bolt Mesh
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Figure 35: Fitting Mesh
Figure 36: Seal Ring Mesh
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Figure 37: Swivel Flange Mesh
Figure 38: Weld Neck Flange Mesh
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C
Swivel Flange Assembly Local Failure Check
C.1
Female Flange Local Failure Check
Matl A694 F70
Yield(psi) 70000
Tensile(psi) 82000 αsl
l = lm e{−( 1+m2 )[( element 300 874 20423 20432 20460 20521 20561 20579 20580 20586 20587 20588 20623 20625 20663 20675 20704 20720 20779 20780 20788 20821 20845 20921 20925 20928 20932 20937 20940 20941 20946 20948 21061 21064 21102 21261 21493 21496 21497 ... ... ... ... 42632 42634 42659 42718 42756
peq 4.384e-005 1.778e-004 1.563e-004 5.983e-005 5.058e-006 1.279e-004 9.898e-005 1.388e-004 1.174e-004 2.169e-005 9.493e-005 4.141e-005 5.595e-005 1.975e-005 1.339e-004 3.204e-005 8.628e-005 7.197e-005 1.163e-004 9.566e-005 1.208e-004 1.274e-004 1.149e-004 9.546e-005 1.924e-004 1.627e-004 6.569e-005 1.540e-004 2.251e-004 1.716e-004 8.040e-005 8.525e-005 8.369e-005 1.283e-004 2.505e-006 1.492e-005 5.887e-004 9.288e-004 2.474e-004 ..... ..... ..... ..... 1.306e-003 6.515e-005 1.934e-004 1.211e-003 2.831e-004
R 0.854
Elong 0.180
Red 0.000
m2 0.088
Elong Spec 0.331
Red Spec 0.000
lm 0.331
αsl 2.20
σ1 +σ2 +σ3 )− 13 ]} 3σe
σe 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.012e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.010e+004 7.014e+004 7.016e+004 7.012e+004 ..... ..... ..... ..... 7.018e+004 7.011e+004 4.771e+004 3.385e+004 7.012e+004
σ1 3.638e+003 1.545e+004 3.777e+004 3.991e+004 4.003e+004 3.890e+004 3.954e+004 3.923e+004 3.947e+004 3.835e+004 4.065e+004 3.978e+004 3.982e+004 3.980e+004 3.965e+004 3.932e+004 3.967e+004 4.090e+004 3.918e+004 3.914e+004 3.888e+004 4.015e+004 3.825e+004 4.044e+004 3.945e+004 3.875e+004 3.959e+004 3.989e+004 3.816e+004 3.791e+004 3.956e+004 3.989e+004 3.918e+004 3.984e+004 3.873e+004 7.454e+004 2.760e+004 2.703e+004 3.678e+004 ...... ...... ...... ...... -8.261e+002 7.153e+004 4.089e+004 3.343e+004 7.403e+003
σ2 -3.132e+003 -3.956e+003 4.361e+003 4.236e+003 4.370e+003 4.569e+003 4.262e+003 4.052e+003 4.515e+003 5.037e+003 4.279e+003 4.689e+003 4.236e+003 4.993e+003 4.173e+003 4.561e+003 4.411e+003 4.277e+003 4.308e+003 4.507e+003 4.379e+003 3.958e+003 4.961e+003 4.282e+003 4.647e+003 4.355e+003 4.632e+003 4.177e+003 4.496e+003 4.075e+003 4.177e+003 4.437e+003 4.598e+003 4.482e+003 4.959e+003 8.436e+003 1.153e+003 9.875e+002 4.928e+002 ...... ...... ...... ...... -4.001e+003 4.670e+004 -3.726e+003 2.275e+002 -3.133e+003
28
σ3 -6.961e+004 -6.233e+004 -4.280e+004 -4.086e+004 -4.074e+004 -4.176e+004 -4.120e+004 -4.150e+004 -4.124e+004 -4.220e+004 -4.017e+004 -4.094e+004 -4.094e+004 -4.090e+004 -4.111e+004 -4.138e+004 -4.107e+004 -3.994e+004 -4.153e+004 -4.154e+004 -4.179e+004 -4.066e+004 -4.231e+004 -4.036e+004 -4.126e+004 -4.192e+004 -4.112e+004 -4.088e+004 -4.244e+004 -4.271e+004 -4.119e+004 -4.086e+004 -4.150e+004 -4.091e+004 -4.187e+004 1.018e+003 -5.192e+004 -5.243e+004 -4.405e+004 ...... ...... ...... ...... -7.254e+004 -7.611e+003 -9.398e+003 -1.031e+003 -6.739e+004
l 1.262e+000 1.059e+000 6.538e-001 6.294e-001 6.271e-001 6.390e-001 6.335e-001 6.386e-001 6.327e-001 6.423e-001 6.206e-001 6.279e-001 6.304e-001 6.257e-001 6.329e-001 6.342e-001 6.310e-001 6.177e-001 6.374e-001 6.366e-001 6.405e-001 6.284e-001 6.440e-001 6.229e-001 6.321e-001 6.422e-001 6.305e-001 6.300e-001 6.483e-001 6.542e-001 6.339e-001 6.283e-001 6.355e-001 6.287e-001 6.383e-001 2.897e-001 8.116e-001 8.213e-001 6.933e-001 ..... ..... ..... ..... 1.366e+000 2.242e-001 4.388e-001 3.392e-001 1.192e+000
peq l
0.0000 0.0002 0.0002 0.0001 0.0000 0.0002 0.0002 0.0002 0.0002 0.0000 0.0002 0.0001 0.0001 0.0000 0.0002 0.0001 0.0001 0.0001 0.0002 0.0002 0.0002 0.0002 0.0002 0.0002 0.0003 0.0003 0.0001 0.0002 0.0003 0.0003 0.0001 0.0001 0.0001 0.0002 0.0000 0.0001 0.0007 0.0011 0.0004 ... ... ... ... 0.0010 0.0003 0.0004 0.0036 0.0002
Pass
peq l
≤1
True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True ...... ...... ...... ...... True True True True True
Report# TL-FEA-11-30-2500-SFA
C.2
Male Fitting Local Failure Check
Matl A694 F70
Yield(psi) 70000
Tensile(psi) 82000 α
l = lm e element 17954 17955 17965 17997 17999 18000 18001 18002 18003 18026 18027 18028 18029 18049 18051 18052 18053 18054 18055 18056 18057 18058 18059 18067 18068 18069 18070 18071 18072 18073 18097 18105 18107 18116 18117 18129 18130 18143 18144 ... ... ... ... 51921 51925 51929 51935 51936
sl )[( {−( 1+m
peq 1.488e-004 4.134e-006 5.963e-005 3.874e-004 9.117e-004 6.948e-005 7.060e-004 9.164e-004 1.434e-004 3.858e-004 1.185e-003 1.064e-003 1.440e-004 2.662e-004 9.354e-003 2.190e-003 2.371e-003 1.489e-003 1.248e-003 1.063e-003 1.092e-003 1.124e-003 2.935e-004 7.553e-005 3.894e-004 5.625e-004 8.218e-004 6.138e-004 1.717e-003 2.169e-003 3.613e-004 2.230e-005 6.112e-004 1.154e-005 9.909e-004 1.033e-003 5.554e-004 8.304e-005 1.199e-003 ..... ..... ..... ..... 3.307e-004 1.857e-004 9.356e-004 3.953e-004 7.772e-005
2
R 0.854
Elong 0.180
Red 0.000
m2 0.088
Elong Spec 0.331
Red Spec 0.000
lm 0.331
αsl 2.20
σ1 +σ2 +σ3 )− 13 ]} 3σe
σe 7.011e+004 7.010e+004 7.011e+004 3.786e+004 5.402e+004 6.270e+004 3.994e+004 3.403e+004 4.888e+004 7.013e+004 4.083e+004 4.159e+004 3.638e+004 7.012e+004 5.127e+003 2.203e+004 2.826e+004 2.946e+004 3.546e+004 4.382e+004 4.253e+004 4.143e+004 7.012e+004 4.339e+004 3.912e+004 3.828e+004 4.582e+004 4.153e+004 2.696e+004 2.227e+004 7.013e+004 3.647e+004 4.581e+004 7.010e+004 4.115e+004 4.358e+004 5.309e+004 7.011e+004 4.191e+004 ..... ..... ..... ..... 3.851e+004 3.777e+004 4.412e+004 4.173e+004 5.720e+004
σ1 7.322e+004 7.411e+004 7.588e+004 -4.346e+003 3.338e+004 6.469e+004 2.637e+003 -1.128e+004 -1.335e+004 7.388e+004 2.533e+003 4.239e+003 -6.896e+003 7.319e+004 -3.212e+003 -1.773e+003 4.301e+003 -9.139e+003 -6.479e+003 4.729e+003 1.707e+003 9.551e+001 6.897e+004 -2.601e+004 -2.099e+004 -1.630e+004 3.270e+002 -8.432e+003 -6.097e+002 -1.553e+003 7.277e+004 -6.181e+003 3.751e+004 2.090e+004 6.787e+003 5.553e+002 1.619e+004 7.461e+004 6.532e+003 ...... ...... ...... ...... 9.542e+003 1.191e+004 9.575e+002 1.135e+003 5.556e+002
σ2 3.911e+004 3.651e+004 3.563e+004 -1.515e+004 -1.882e+004 2.317e+004 -1.038e+004 -1.862e+004 -3.957e+004 4.159e+004 -8.248e+003 -9.070e+003 -2.909e+004 4.110e+004 -5.567e+003 -8.377e+003 -1.522e+004 -1.158e+004 -1.106e+004 -3.910e+003 -6.189e+003 -8.147e+003 8.329e+003 -4.104e+004 -3.245e+004 -2.637e+004 -1.198e+004 -2.652e+004 -6.706e+003 -3.762e+003 4.193e+004 -3.819e+004 -1.460e+003 1.779e+004 -9.155e+003 -4.856e+003 -3.681e+004 3.766e+004 2.425e+003 ...... ...... ...... ...... -2.384e+004 -1.552e+004 -8.049e+003 -2.702e+004 -3.769e+004
29
σ3 -7.418e+003 -6.772e+003 -5.070e+003 -4.644e+004 -2.230e+004 -7.426e+003 -4.219e+004 -4.838e+004 -6.974e+004 -6.572e+003 -4.261e+004 -4.238e+004 -4.888e+004 -7.235e+003 -9.093e+003 -2.635e+004 -2.810e+004 -3.974e+004 -4.401e+004 -4.276e+004 -4.422e+004 -4.484e+004 -7.818e+003 -7.492e+004 -6.456e+004 -5.861e+004 -5.039e+004 -5.594e+004 -3.010e+004 -2.485e+004 -7.492e+003 -4.588e+004 -1.294e+004 -5.071e+004 -3.995e+004 -4.548e+004 -3.699e+004 -6.242e+003 -3.728e+004 ...... ...... ...... ...... -3.259e+004 -3.117e+004 -4.697e+004 -4.680e+004 -6.520e+004
l 2.369e-001 2.393e-001 2.334e-001 2.101e+000 7.155e-001 2.736e-001 1.509e+000 3.063e+000 3.526e+000 2.280e-001 1.443e+000 1.396e+000 3.130e+000 2.321e-001 6.812e+000 1.985e+000 1.648e+000 2.592e+000 2.093e+000 1.239e+000 1.406e+000 1.536e+000 3.331e-001 5.897e+000 4.963e+000 3.865e+000 1.618e+000 2.840e+000 1.655e+000 1.619e+000 2.318e-001 3.445e+000 4.623e-001 7.292e-001 1.299e+000 1.403e+000 1.350e+000 2.344e-001 1.024e+000 ..... ..... ..... ..... 1.476e+000 1.208e+000 1.484e+000 2.102e+000 2.170e+000
peq l
0.0006 0.0000 0.0003 0.0002 0.0013 0.0003 0.0005 0.0003 0.0000 0.0017 0.0008 0.0008 0.0000 0.0011 0.0014 0.0011 0.0014 0.0006 0.0006 0.0009 0.0008 0.0007 0.0009 0.0000 0.0001 0.0001 0.0005 0.0002 0.0010 0.0013 0.0016 0.0000 0.0013 0.0000 0.0008 0.0007 0.0004 0.0004 0.0012 ... ... ... ... 0.0002 0.0002 0.0006 0.0002 0.0000
Pass
peq l
≤1
True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True ...... ...... ...... ...... True True True True True
Report# TL-FEA-11-30-2500-SFA
C.3
Seal Ring Local Failure Check
Matl A694 F70
Yield(psi) 70000
Tensile(psi) 82000 α
l = lm e element 1 2 3 5 6 7 8 9 10 11 12 13 15 18 20 26 28 29 30 31 32 33 34 35 36 38 39 40 42 43 51 52 53 54 55 56 57 58 59 ... ... ... ... 6953 6954 6955 6956 6957
sl )[( {−( 1+m
peq 1.574e-004 5.278e-004 1.816e-003 3.817e-004 2.681e-004 5.013e-004 6.098e-004 6.032e-004 2.191e-004 3.965e-004 1.582e-004 2.479e-004 8.223e-006 4.994e-003 5.233e-004 4.419e-005 1.068e-004 2.199e-004 3.577e-004 3.245e-004 5.532e-004 4.690e-004 5.082e-004 3.857e-004 1.491e-004 2.730e-006 4.612e-004 3.037e-003 4.668e-003 4.460e-003 6.653e-005 7.016e-005 1.022e-004 3.184e-004 2.112e-004 4.675e-004 3.696e-004 2.674e-004 2.575e-004 ..... ..... ..... ..... 1.156e-004 2.515e-004 8.600e-004 6.087e-004 4.074e-004
2
R 0.854
Elong 0.180
Red 0.000
m2 0.088
Elong Spec 0.331
Red Spec 0.000
lm 0.331
αsl 2.20
σ1 +σ2 +σ3 )− 13 ]} 3σe
σe 5.191e+004 4.770e+004 5.689e+004 4.813e+004 5.131e+004 4.755e+004 4.792e+004 4.755e+004 4.714e+004 4.779e+004 4.892e+004 5.156e+004 6.740e+004 7.084e+004 4.496e+004 5.862e+004 4.779e+004 4.983e+004 4.723e+004 4.765e+004 4.808e+004 4.905e+004 4.814e+004 4.900e+004 5.382e+004 6.329e+004 7.013e+004 7.036e+004 7.084e+004 7.052e+004 4.728e+004 4.985e+004 4.794e+004 4.855e+004 4.880e+004 4.509e+004 4.839e+004 4.748e+004 4.728e+004 ..... ..... ..... ..... 5.233e+004 4.912e+004 7.016e+004 7.014e+004 4.938e+004
σ1 -4.586e+003 4.532e+003 -1.165e+004 -2.409e+003 -2.923e+003 -2.099e+003 5.231e+003 3.003e+003 -3.881e+003 -2.002e+003 -4.701e+003 3.256e+003 9.624e+003 1.808e+004 1.541e+004 6.614e+003 -9.002e+003 -3.365e+002 -2.230e+003 -5.265e+002 5.257e+003 5.314e+003 2.296e+003 3.612e+003 4.482e+003 9.835e+003 7.934e+003 1.127e+004 1.893e+004 2.297e+004 -1.023e+004 -5.227e+003 -8.767e+003 -8.919e+002 -2.377e+003 -1.433e+003 -3.266e+003 -5.871e+003 -4.311e+003 ...... ...... ...... ...... 1.106e+001 -7.538e+002 5.548e+003 1.067e+004 -2.518e+003
σ2 -1.485e+004 -3.114e+003 -4.556e+004 -5.624e+003 -9.690e+003 -7.151e+003 1.779e+003 -6.851e+003 -8.827e+003 -4.772e+003 -1.404e+004 -1.714e+004 -5.149e+004 -1.604e+004 -2.949e+004 -3.244e+004 -1.056e+004 -1.534e+004 -8.519e+003 -6.968e+003 -1.154e+003 -2.809e+003 -3.254e+003 -1.033e+004 -2.253e+004 -4.011e+004 -5.761e+004 -3.125e+004 -1.573e+004 -6.751e+003 -1.223e+004 -1.938e+004 -1.360e+004 -8.397e+003 -6.653e+003 -1.050e+004 -6.136e+003 -7.791e+003 -9.174e+003 ...... ...... ...... ...... -2.153e+004 -3.952e+003 -5.172e+004 -5.253e+004 -5.023e+003
30
σ3 -6.086e+004 -4.653e+004 -7.732e+004 -5.207e+004 -5.728e+004 -5.197e+004 -4.432e+004 -4.871e+004 -5.330e+004 -5.112e+004 -5.762e+004 -5.538e+004 -6.267e+004 -6.336e+004 -2.961e+004 -6.079e+004 -5.755e+004 -5.595e+004 -5.229e+004 -5.107e+004 -4.571e+004 -4.729e+004 -4.838e+004 -5.084e+004 -5.750e+004 -6.133e+004 -6.602e+004 -6.995e+004 -6.256e+004 -5.755e+004 -5.847e+004 -6.063e+004 -5.894e+004 -5.275e+004 -5.318e+004 -5.037e+004 -5.303e+004 -5.428e+004 -5.383e+004 ...... ...... ...... ...... -5.965e+004 -5.140e+004 -7.271e+004 -6.479e+004 -5.310e+004
l 1.843e+000 1.229e+000 3.199e+000 1.507e+000 1.627e+000 1.547e+000 1.098e+000 1.368e+000 1.670e+000 1.470e+000 1.860e+000 1.607e+000 1.848e+000 1.164e+000 1.251e+000 1.759e+000 1.928e+000 1.712e+000 1.597e+000 1.488e+000 1.164e+000 1.202e+000 1.296e+000 1.434e+000 1.673e+000 1.724e+000 1.975e+000 1.538e+000 1.143e+000 9.643e-001 2.060e+000 2.057e+000 2.038e+000 1.537e+000 1.534e+000 1.649e+000 1.550e+000 1.705e+000 1.696e+000 ..... ..... ..... ..... 1.848e+000 1.403e+000 2.036e+000 1.810e+000 1.487e+000
peq l
0.0001 0.0004 0.0006 0.0003 0.0002 0.0003 0.0006 0.0004 0.0001 0.0003 0.0001 0.0002 0.0000 0.0043 0.0004 0.0000 0.0001 0.0001 0.0002 0.0002 0.0005 0.0004 0.0004 0.0003 0.0001 0.0000 0.0002 0.0020 0.0041 0.0046 0.0000 0.0000 0.0001 0.0002 0.0001 0.0003 0.0002 0.0002 0.0002 ... ... ... ... 0.0001 0.0002 0.0004 0.0003 0.0003
Pass
peq l
≤1
True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True ...... ...... ...... ...... True True True True True
Report# TL-FEA-11-30-2500-SFA
C.4
Swivel Local Failure Check
Matl AISI 4130
Yield(psi) 85000
Tensile(psi) 115000 αsl
l = lm e{−( 1+m2 )[( element 136 180 224 488 532 576 620 884 928 972 1280 1324 1368 1632 1676 1720 1764 2028 2072 2116 2424 2468 2512 2776 2820 2864 2908 3172 3216 3260 3568 3612 3656 3920 3964 4008 4052 4316 4360 ... ... ... ... 27682 27702 27740 27948 27955
peq 8.640e-005 1.107e-004 7.329e-005 1.257e-005 9.268e-005 1.241e-004 2.751e-005 9.244e-005 1.182e-004 1.002e-004 1.084e-004 1.112e-004 9.955e-005 5.975e-005 1.335e-004 1.204e-004 2.023e-005 9.324e-005 1.158e-004 1.036e-004 1.056e-004 1.090e-004 8.401e-005 5.659e-005 1.161e-004 1.234e-004 2.076e-005 7.914e-005 1.225e-004 1.078e-004 1.010e-004 1.046e-004 9.651e-005 5.211e-005 1.259e-004 1.117e-004 1.101e-005 8.771e-005 1.064e-004 ..... ..... ..... ..... 6.379e-005 6.785e-005 1.259e-005 8.030e-005 2.874e-004
R 0739
Elong 0.210
Red 0.000
m2 0.088
Elong Spec 0.381
Red Spec 0.000
lm 0.381
αsl 2.20
σ1 +σ2 +σ3 )− 13 ]} 3σe
σe 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.011e+004 ..... ..... ..... ..... 7.011e+004 7.011e+004 7.010e+004 7.011e+004 7.012e+004
σ1 -4.165e+003 -3.648e+003 -3.860e+003 -3.841e+003 -3.255e+003 -3.957e+003 -3.350e+003 -3.792e+003 -3.750e+003 -3.438e+003 -3.294e+003 -3.875e+003 -3.680e+003 -2.997e+003 -3.716e+003 -3.947e+003 -3.792e+003 -3.648e+003 -3.844e+003 -3.529e+003 -3.354e+003 -3.623e+003 -3.672e+003 -2.707e+003 -3.966e+003 -3.672e+003 -3.299e+003 -3.468e+003 -3.845e+003 -3.374e+003 -3.287e+003 -3.806e+003 -3.715e+003 -3.081e+003 -3.715e+003 -3.885e+003 -3.895e+003 -3.720e+003 -3.913e+003 ...... ...... ...... ...... 2.381e+004 4.196e+003 3.613e+003 1.759e+004 -4.935e+002
σ2 -2.655e+004 -2.649e+004 -2.653e+004 -2.706e+004 -2.586e+004 -2.699e+004 -2.637e+004 -2.617e+004 -2.622e+004 -2.589e+004 -2.612e+004 -2.620e+004 -2.672e+004 -2.718e+004 -2.634e+004 -2.638e+004 -2.669e+004 -2.648e+004 -2.669e+004 -2.630e+004 -2.680e+004 -2.650e+004 -2.718e+004 -2.703e+004 -2.614e+004 -2.649e+004 -2.653e+004 -2.598e+004 -2.639e+004 -2.600e+004 -2.609e+004 -2.619e+004 -2.669e+004 -2.709e+004 -2.632e+004 -2.626e+004 -2.675e+004 -2.659e+004 -2.655e+004 ...... ...... ...... ...... -1.010e+004 -1.318e+004 -1.157e+004 -5.831e+003 -1.472e+004
31
σ3 -8.273e+004 -8.233e+004 -8.250e+004 -8.261e+004 -8.188e+004 -8.269e+004 -8.207e+004 -8.236e+004 -8.234e+004 -8.202e+004 -8.197e+004 -8.243e+004 -8.241e+004 -8.199e+004 -8.235e+004 -8.253e+004 -8.248e+004 -8.233e+004 -8.253e+004 -8.219e+004 -8.218e+004 -8.231e+004 -8.251e+004 -8.174e+004 -8.248e+004 -8.235e+004 -8.207e+004 -8.207e+004 -8.245e+004 -8.200e+004 -8.196e+004 -8.237e+004 -8.243e+004 -8.204e+004 -8.234e+004 -8.245e+004 -8.257e+004 -8.241e+004 -8.255e+004 ...... ...... ...... ...... -5.681e+004 -7.296e+004 -7.284e+004 -6.123e+004 -7.664e+004
l 1.934e+000 1.916e+000 1.923e+000 1.935e+000 1.889e+000 1.937e+000 1.903e+000 1.913e+000 1.913e+000 1.895e+000 1.896e+000 1.916e+000 1.922e+000 1.910e+000 1.914e+000 1.923e+000 1.925e+000 1.915e+000 1.926e+000 1.907e+000 1.913e+000 1.915e+000 1.932e+000 1.897e+000 1.918e+000 1.916e+000 1.905e+000 1.898e+000 1.920e+000 1.896e+000 1.895e+000 1.914e+000 1.922e+000 1.911e+000 1.914e+000 1.918e+000 1.930e+000 1.920e+000 1.926e+000 ..... ..... ..... ..... 9.832e-001 1.428e+000 1.413e+000 1.045e+000 1.571e+000
peq l
0.0000 0.0001 0.0000 0.0000 0.0000 0.0001 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0000 0.0001 0.0001 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0000 0.0000 0.0001 0.0001 0.0000 0.0000 0.0001 0.0001 0.0001 0.0001 0.0001 0.0000 0.0001 0.0001 0.0000 0.0000 0.0001 ... ... ... ... 0.0001 0.0000 0.0000 0.0001 0.0002
Pass
peq l
≤1
True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True True ...... ...... ...... ...... True True True True True
Report# TL-FEA-11-30-2500-SFA
D
Component Stress Plots
This appendix shows von Mises component stress plots for the local failure cases for both the swivel flange assembly and the blind flange assembly
D.1
Bolt
Figure 39: Bolt von Mises Plot 1
Figure 40: Bolt von Mises Plot 2
32
Report# TL-FEA-11-30-2500-SFA
D.2
Fitting
Figure 41: Fitting von Mises Plot 1
Figure 42: Fitting von Mises Plot 2
33
Report# TL-FEA-11-30-2500-SFA
D.3
Seal
Figure 43: Seal von Mises Plot 1
34
Report# TL-FEA-11-30-2500-SFA
Figure 44: Seal von Mises Plot 2
Figure 45: Seal von Mises Plot 3
35
Report# TL-FEA-11-30-2500-SFA
D.4
Swivel
Figure 46: Swivel Flange von Mises Plot 1
Figure 47: Swivel Flange von Mises Plot 2
36
Report# TL-FEA-11-30-2500-SFA
D.5
Weld Neck
Figure 48: Weld Neck Flange von Mises Plot 1
Figure 49: Weld Neck Flange von Mises Plot 2
37
Report# TL-FEA-11-30-2500-SFA
References [1] 2007 ASME Boiler & Pressure Vessel Code Section VIII Division 2 Alternative Rules Part 5 [2] Design Flange Loads for 30” Riser & Tie-In Spool at Liwan Gas CEP, South China Sea Deepwater Gas Development, Memorandum 140180.01 Memo 009, 2011 [3] ABAQUS/Standard User’s Manual, Volume 1, Version 6.10-1, ABAQUS Inc. [4] Material Tension Test Report, AFG Metallurgical Lab, Houston, TX, 2011 [5] ASME Section VIII - Division 2, Criteria & Commentary, ASME PTB-1-2009
38
Report# TL-FEA-11-30-2500-SFA