Тест 4.8 Stability of a thin-walled cantilever in compression (new)

Analytical solution: Strength. Stability. Fluctuations. I.A. Birger, J.G. Panovko, eds. M.: "Machine Engineering", 1968, p. 59.

Geometry:

L = 1.5 м; а = 23 мм, b = 56 мм, h = 96 мм, t = 4 мм.

Material characteristics: Е = 2.1 x 10⁷ т/м², ν = 0.3; for scheme 1 - the projection on the Z1 axis of the distance between the center of gravity and the center of bend Ru_Z = 8.7 см.

Boundary conditions:
For scheme 1 - point A is pinched.
For scheme 2 in the section corresponding to t. A - all the nodes are fixed in the direction of Y, w1 = w3 = 0, u2 = 0.

Loads: F = 10 т.

The following were used: Scheme1 - rod finite elements (FE 10), breakdown - 50 FE.
Scheme2 - finite elements of a thin plate (FE 41), breakdown - 50 FE along the length and 60 FE along the cross section.

Formulas (3.3.20), (3.3.29) from the book by A.S. Gorodetsky, I.D. Evzerov were used for constructing the stability matrix. Computer models of structures, M. "ASV", 2009.

CALCULATION RESULTS:

FILES

Source data text files:
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