VM-NR1677-02-3
VM-NR1677-02-3
NUREG/CR-1677: Volume 2, Benchmark Problem No. 3
Overview
| Reference: | NUREG/CR-1677 Volume II Piping Benchmark Problems, Dynamic Analysis Independent Support Motion Response Spectrum Method, P. Bezler, M. Subudhi & M. Hartzman of Brookhaven National Laboratory, prepared for the U.S. Nuclear Regulatory Commission, August 1985, Problem 3, pages 138-243. |
| Analysis Type(s): | |
| Element Type(s): | |
| Input Listing: |
Test Case
For test case description, problem sketch, material properties,
geometry properties and loadings refer to VM-NR1677-02-3-a
Results Comparison
Table 130: Frequencies Obtained from Modal Solution
| Mode | Frequency |
|---|---|
| 1 | 7.680 |
| 2 | 10.554 |
| 3 | 14.871 |
| 4 | 15.996 |
| 5 | 16.589 |
| 6 | 18.859 |
| 7 | 21.795 |
| 8 | 24.679 |
| 9 | 26.787 |
| 10 | 29.395 |
| 11 | 30.755 |
| 12 | 32.092 |
| 13 | 33.541 |
| 14 | 34.924 |
| 15 | 36.610 |
Case 1: Envelope Spectrum Excitation
Table 131: Maximum Displacements and Rotations Obtained from Spectrum Solve
| Result_Node | Value |
|---|---|
| UX at node151 | 0.607 |
| UY at node87 | 0.963 |
| UZ at node92 | 0.709 |
| ROTX at node92 | 1.052E-2 |
| ROTY at node72 | 9.991E-3 |
| ROTZ at node160 | 1.217E-2 |
Table 132: Element Forces and Moments Obtained from Spectrum Solve
| Result | MAPDL |
|---|---|
| Element 1 | |
| PX(I) | 1.0505E5 |
| VY(I) | 74.696 |
| VZ(I) | 1296.4 |
| TX(I) | 15196 |
| MY(I) | 94990 |
| MZ(I) | 3232.8 |
| PX(J) | 1.0505E5 |
| VY(J) | 71.945 |
| VZ(J) | 1257.5 |
| TX(J) | 15176 |
| MY(J) | 40883 |
| MZ(J) | 552.37 |
| Element 50 | |
| PX(I) | 2122.9 |
| VY(I) | 481.51 |
| VZ(I) | 50.148 |
| TX(I) | 15194.0 |
| MY(I) | 4431.0 |
| MZ(I) | 45121.0 |
| PX(J) | 2115.6 |
| VY(J) | 491.85 |
| VZ(J) | 50.22 |
| TX(J) | 15243.0 |
| MY(J) | 4303.0 |
| MZ(J) | 45680.0 |
Case 2: Independent Support Excitation with SRSS Combination
Table 133: Maximum Displacements and Rotations Obtained from Spectrum Solve
| Result_Node | Value |
|---|---|
| UX at node63 | 5.416E-1 |
| UY at node87 | 3.564E-1 |
| UZ at node63 | 5.116E-1 |
| ROTX at node58 | 8.109E-3 |
| ROTY at node72 | 6.860E-3 |
| ROTZ at node61 | 6.983E-3 |
Table 134: Element Forces and Moments Obtained from Spectrum Solve
| Result | MAPDL |
|---|---|
| Element 1 | |
| PX(I) | 6.4759E4 |
| VY(I) | 1.0495E2 |
| VZ(I) | 1.622E3 |
| TX(I) | 2.076E4 |
| MY(I) | 1.109E5 |
| MZ(I) | 4.9121E3 |
| PX(J) | 6.2814E4 |
| VY(J) | 1.0168E2 |
| VZ(J) | 1.5656E3 |
| TX(J) | 2.0729E4 |
| MY(J) | 4.5190E4 |
| MZ(J) | 9.6992E2 |
| Element 50 | |
| PX(I) | 4650.3 |
| VY(I) | 584.09 |
| VZ(I) | 66.369 |
| TX(I) | 20497.0 |
| MY(I) | 6765.2 |
| MZ(I) | 61979.0 |
| PX(J) | 4636.9 |
| VY(J) | 650.58 |
| VZ(J) | 66.172 |
| TX(J) | 20510.0 |
| MY(J) | 6794.7 |
| MZ(J) | 62182.0 |
Case 3: Independent Support Excitation with Absolute Sum Combination
Table 135: Maximum Displacements and Rotations Obtained from Spectrum Solve
| Result_Node | Value |
|---|---|
| UX at node63 | 7.632E-1 |
| UY at node87 | 4.772E-1 |
| UZ at node63 | 7.228E-1 |
| ROTX at node58 | 1.146E-2 |
| ROTY at node52 | 9.350E-3 |
| ROTZ at node61 | 9.866E-3 |
Table 136: Element Forces and Moments Obtained from Spectrum Solve
| Result | MAPDL |
|---|---|
| Element 1 | |
| PX(I) | 8.7497E4 |
| VY(I) | 1.6169E2 |
| VZ(I) | 2.3389E3 |
| TX(I) | 3.0557E4 |
| MY(I) | 1.6159E5 |
| MZ(I) | 7.7189E3 |
| PX(J) | 8.7496E4 |
| VY(J) | 1.5636E2 |
| VZ(J) | 2.2591E3 |
| TX(J) | 3.0507E4 |
| MY(J) | 6.6443E4 |
| MZ(J) | 1.523E3 |
| Element 50 | |
| PX(I) | 6377.0 |
| VY(I) | 845.27 |
| VZ(I) | 96.42 |
| TX(I) | 29989.0 |
| MY(I) | 10427.0 |
| MZ(I) | 88235.0 |
| PX(J) | 6358.5 |
| VY(J) | 930.53 |
| VZ(J) | 96.04 |
| TX(J) | 29977.0 |
| MY(J) | 10563.0 |
| MZ(J) | 88620.0 |
Note: PX (I) and PX (J) = Section axial force at node I and J
VY (I) and VY (J) = Section shear forces along Y direction at node I and J
VZ (I) and VZ (J) = Section shear forces along Z direction at node I and J
TX (I) and TX (J) = Section torsional moment at node I and J
MY (I) and MY (J) = Section bending moments along Y direction at node I and J
MZ (I) and MZ (J) = Section bending moments along Z direction at node I and J