Тест 4.12 Stability of an articulated beam under bending (new)
Verification of the LIRA-FEM software / Тест 4.12 Stability of an articulated beam under bending (new) / Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, M: SCADSOFT Publishing House, 2007, p. 554. 554.
Analytical solution: А. V. Perelmuter, V. I. Slivker Stability of structures and related issues, М.: SCADSOFT Publishers, 2007, p. 554.
Geometry:
 |
L = 12.6 м; |
Material characteristics: EF = 10 т, ЕIy = EIz = 10 тм2, GI = 15.876 тм2.
Boundary conditions: uA = uB = vA = vB = wA = wB = θXA = θXB = 0.
Loads: P = 1 т, М = 1 тм.
The application points of the concentrated loads are 0.5 m away from the support. The moments are applied at the supports.
, М. «АСВ», 2009.
CALCULATION RESULTS:
|
Loading scheme |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
1 |
Stability margin |
π |
3,1421 |
0,02 |
|
2 |
Stability margin |
π |
3,1421 |
0,02 |
|
3 |
Stability margin |
π |
3,1421 |
0,02 |
|
4 |
Stability margin |
2,73 |
2,732 |
0,1 |
|
5 |
Stability margin |
2,0 |
2,02 |
1,0 |
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