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TEST CASE 3.1 STABILITY OF SHELL

Reference:

L.D. Landau, E.M. Lifshitz. Course of Theoretical Physics. In 10 Volumes. Volume VII. Theory of Elasticity. – 4th ed., revised and expanded. – M.: «Nauka», 1987, p. 123.

 

Problem description:

The cantilever shell is loaded with a uniformly distributed load f along the free end. Determine the safety factor coefficient.

 

Problem sketch:

Type of created problem:

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

 

Geometric characteristics:

L = 10 m; b = 0.5 m; h = 0.1 m.

 

Material properties:

Elastic modulus: E = 2·107 tf/m2;

Poisson’s ratio: μ = 0.3.

 

Boundary conditions:

The left edge of the shell: X = Y = Z = UX = UY = UZ = 0.

 

Loads:

f = 20 tf/m.

 

Model description:

The system is modeled using 500 finite elements of thin shell (FE type is 44). The number of nodes in the calculation scheme is 606.

 

Calculation results:

Target value

Analytical solution

LIRA 10

Deviation, %

Safety factor

4.1479

4.1638

0.38

 

Buckling mode