Reference:

Abaqus 6.11 Benchmarks Manual. – USA, Providence, RI., 2011, – 1731 p. – example 1.2.5. Lateral buckling of an L-bracket.

Problem description:

The L-shaped bracket is rigidly clamped at one end and loaded with concentrated force P at the other end, as shown in the figure. Determine the value of the force P_cr at which there is a loss of stability.

Problem sketch:

Type of created problem:

Spatial structure (X, Y, Z, UX, UY, UZ).

Geometric characteristics:

Bracket dimensions: a x b x c = 240 х 240 x 30 mm;

Plate thickness: t = 0.6 mm.

Material properties:

Elastic modulus: E = 7.124·10¹⁰ Pa;

Poisson’s ratio: μ = 0.3.

Boundary conditions:

Fixation domain: X = Y = Z = UX = UY = UZ = 0.

Loads:

P = 1 N.

Model description:

The system is modeled using 272 finite elements of thin shell (FE type is 44). The number of nodes in the calculation scheme is 345.

Calculation results:

Buckling mode