VM-NR1677-02-1
VM-NR1677-02-1
NUREG/CR-1677: Volume 2, Benchmark Problem No. 1
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 1, pages 18-76. |
| 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-NR1677-02-1-a
Results Comparison
Table 116: Frequencies Obtained from Modal Solution
| Mode | Frequency |
|---|---|
| 1 | 6.1125 |
| 2 | 6.3518 |
| 3 | 7.7648 |
| 4 | 8.7922 |
| 5 | 12.185 |
| 6 | 12.627 |
| 7 | 13.954 |
| 8 | 14.865 |
| 9 | 15.986 |
| 10 | 18.059 |
| 11 | 18.919 |
| 12 | 21.600 |
| 13 | 22.957 |
| 14 | 24.934 |
| 15 | 31.868 |
Case 1: Envelope Spectrum Excitation
Table 117: Maximum Displacements and Rotations Obtained from Spectrum Solve
| Result_Node | Value |
|---|---|
| UX at node19 | 6.154E-1 |
| UY at node275 | 1.216E-1 |
| UZ at node11 | 8.415E-2 |
| ROTX at node220 | 1.503E-3 |
| ROTY at node11 | 1.315E-3 |
| ROTZ at node265 | 1.485E-3 |
Table 118: Element Forces and Moments Obtained from Spectrum Solve
| Result | MAPDL |
|---|---|
| Element 120 | |
| PX(I) | 119.450 |
| VY(I) | 61.770 |
| VZ(I) | 57.027 |
| TX(I) | 596.71 |
| MY(I) | 1849.5 |
| MZ(I) | 2815.8 |
| PX(J) | 119.450 |
| VY(J) | 61.897 |
| VZ(J) | 57.209 |
| TX(J) | 596.73 |
| MY(J) | 2572.5 |
| MZ(J) | 3609.9 |
| Element 131 | |
| PX(I) | 230.56 |
| VY(I) | 63.22 |
| VZ(I) | 26.11 |
| TX(I) | 280.91 |
| MY(I) | 1035.7 |
| MZ(I) | 2216.7 |
| PX(J) | 193.14 |
| VY(J) | 145.13 |
| VZ(J) | 22.27 |
| TX(J) | 661.65 |
| MY(J) | 1315.1 |
| MZ(J) | 1146.0 |
Case 2: Independent Support Excitation with SRSS Combination
Table 119: Maximum Displacements and Rotations Obtained from Spectrum Solve
| Result_Node | Value |
|---|---|
| UX at node19 | 8.338E-2 |
| UY at node226 | 1.949E-1 |
| UZ at node224 | 1.835E-1 |
| ROTX at node196 | 1.828E-3 |
| ROTY at node208 | 2.168E-3 |
| ROTZ at node211 | 2.058E-3 |
Table 120: Element Forces and Moments Obtained from Spectrum Solve
| Result | MAPDL |
|---|---|
| Element 120 | |
| PX(I) | 89.219 |
| VY(I) | 68.747 |
| VZ(I) | 68.736 |
| TX(I) | 445.59 |
| MY(I) | 3401.100 |
| MZ(I) | 3655.000 |
| PX(J) | 89.220 |
| VY(J) | 68.840 |
| VZ(J) | 68.851 |
| TX(J) | 445.61 |
| MY(J) | 4269.500 |
| MZ(J) | 4540.500 |
| Element 131 | |
| PX(I) | 163.43 |
| VY(I) | 46.140 |
| VZ(I) | 29.737 |
| TX(I) | 697.98 |
| MY(I) | 917.89 |
| MZ(I) | 2272.9 |
| PX(J) | 139.13 |
| VY(J) | 100.30 |
| VZ(J) | 26.675 |
| TX(J) | 548.38 |
| MY(J) | 1497.2 |
| MZ(J) | 1971.3 |
Case 3: Independent Support Excitation with Absolute Sum Combination
Table 121: Maximum Displacements and Rotations Obtained from Spectrum Solve
| Result_Node | Value |
|---|---|
| UX at node19 | 9.336E-2 |
| UY at node229 | 1.497E-1 |
| UZ at node11 | 1.277E-1 |
| ROTX at node254 | 1.884E-3 |
| ROTY at node11 | 1.998E-3 |
| ROTZ at node254 | 1.767E-3 |
Table 122: Element Forces and Moments Obtained from Spectrum Solve
| Result | MAPDL |
|---|---|
| Element 120 | |
| PX(I) | 112.890 |
| VY(I) | 68.622 |
| VZ(I) | 62.717 |
| TX(I) | 654.090 |
| MY(I) | 2461.800 |
| MZ(I) | 3240.700 |
| PX(J) | 112.890 |
| VY(J) | 68.758 |
| VZ(J) | 62.887 |
| TX(J) | 654.120 |
| MY(J) | 3241.100 |
| MZ(J) | 4118.400 |
| Element 131 | |
| PX(I) | 226.91 |
| VY(I) | 64.766 |
| VZ(I) | 28.140 |
| TX(I) | 494.45 |
| MY(I) | 1032.1 |
| MZ(I) | 2466.8 |
| PX(J) | 189.13 |
| VY(J) | 144.40 |
| VZ(J) | 24.664 |
| TX(J) | 671.54 |
| MY(J) | 1411.7 |
| MZ(J) | 1634.9 |
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