Тест 4.9 Stability of an articulated beam under distributed moment loading (new)

Analytical solution: А. V. Perelmuter, V. I. Slivker Stability of structures and related issues, SKADSOFT Publishing House, 2007, p. 582

Geometry:

L = 1 м;

Material characteristics: EF = 100 т, ЕIy = 4 тм2, EIz = 1 тм², GI = 1 тм².

Boundary conditions: uA = uB = vA = vB = wA = wB = θXA = θXB = 0.

Loads: uniformly distributed moment along the local axis Y or Z – M = 1 тм/м.

Rod finite elements were used (FE 10), the breakdown is 100 FE. Formulas (3.3.20) from the book by A.S. Gorodetsky and I.D. Evzerov "Computer models of structures" were used for constructing the stability matrix., М. «АСВ», 2009.

CALCULATION RESULTS:

The desired value	Analytical solution	Calculation results (LIRA)	Uncertainty,%
Stability margin	22,38	22,38	0,0

Note: analytical solution given in the book by A. V. Perelmuter, V. I. Slivker Stability of Structures and Related Issues erroneously, factor 2 is lost.

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