Reference:

I.A. Birger, Ya.G. Panovko, Strength, Stability, Vibrations, Handbook in three volumes, Volume III, Moscow, Mashinostroenie, 1968, p. 68, 72.

Problem description:

The cantilever of thin cross section is loaded with axial concentrated force F at point B. Determine the safety factor coefficient.

Problem sketch:

Type of created problem:

The spatial structure considering warping of bars (X, Y, Z, UX, UY, UZ, W).

Geometric characteristics:

L = 1.5 m; а = 23 mm; b = 56 mm; h = 96 mm; t = 4 mm.

Material properties:

Elastic modulus: E = 2.1·10¹¹ Pa;

Poisson’s ratio: μ = 0.3.

Boundary conditions:

Point А: X = Y = Z = UX = UY = UZ = W = 0.

Loads:

F = 100 kN.

Model description:

The system is modeled using 50 finite elements of thin-wall bar (FE type is 7). The number of nodes in the calculation scheme is 51.

Calculation results:

Buckling mode