TEST CASE 3.4 STABILITY OF THIN WALL CANTILEVER UNDER COMPRESSION
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 = 2.1·10^{11} 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:
Target value |
Analytical solution |
LIRA 10 |
Deviation, % |
Safety factor |
0.5634^{} |
0.55886 |
0.81 |
Buckling mode