Тест 4.13 Console bending stability (new)
Verification of the LIRA-FEM software / Тест 4.13 Console bending stability (new) / Analytical solution: A. V. Perelmuter, V. I. Slivker Stability of structures and related issues, Moscow: SCADSOFT Publishing House, 2007, p. 573. 573.
Analytical solution: А. V. Perelmuter, V. I. Slivker Stability of Structures and Related Issues, Moscow: SCADSOFT Publishing House, 2007, p. 573.
Geometry:
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L = 10 м; |
Material characteristics: : EF = 10 т, ЕIy = EIz = 10 тм2, GI = 10 тм2.
Boundary conditions: Point A is pinched.
Stresses: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. |
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We used rod finite elements ( FE 10), breakdown is 100 FE. The load application nodes are absolutely rigid bodies.
The formulas (3.3.20) from the book by A.S. Gorodetsky and I.D. Evzerov were used for constructing the stability matrix Computer models of structures, М. «АСВ», 2009.
CALCULATION RESULTS:
|
Loading scheme |
The desired value |
Analytical solution |
Calculation results (LIRA) |
Uncertainty,% |
|
1,2,6 |
Stability coefficient |
π |
3,1417 |
0,01 |
|
3,4,5 |
Stability coefficient |
π/2 |
1,5708 |
0,0 |
|
7 |
Stability coefficient |
1,0 |
1,0 |
0,0 |
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