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TEST CASE 7.2 BENDING OF A SQUARE PLATE HINGED AT THE CORNERS

Reference:

Batoz, J. L., Bathe, K. J. and Ho, L. W., “A Study of Three-Node Triangular Plate Bending Elements”, Int. J. Num. Meth. in Eng., Vol. 15, pp. 1771-1812, 1980.

 

Problem description:

A square slab hinged at the corners is loaded with a concentrated transverse force F in a free corner (point C).

 

Problem sketch:

 

Type of created problem:

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

 

Geometric characteristics:

a = 0.2032 m; t = 2.54·10-2 m.

 

Material properties:

Isotropic elastic: E = 7030.7 tf/m2; μ = 0.3.

 

Boundary conditions:

At point D: X = Y = Z = UZ = 0;

At points A and B: Z = 0.

 

Loads:

F = 2.268·10-3 tf.

                        

Model description:

The system is modeled by 2 shell elements (FE type is 42).

 

Calculation results:

Target value

Analytical solution

LIRA 10

Deviation, %

Mxy, N·m/m

-11.121

-11.121

0.00

wc, m

-0.0064

-0.0064

0.00