Objective

To verify the twisting behavior of the plate element.

Physical Problem

A square plate which is supported at three of its corners is shown in Fig. A.28. A concentrated load acting in the negative Z-direction is applied at the free corner.

Finite Element Model

An irregular mesh with eight plate elements is used.

Solution Results

The theoretical solution for this problem is a constant twist [1]. The central deflection is 0.0624 in., the deflection under the applied load is 0.2496 in and the bending and twisting moments in the whole model are Mx = My = 0, Mxy = 2.5 lb-in/in. ADINA gives the exact theoretical solution.

User Hint

This example may be regarded as a patch test problem since the theoretical solution is a constant twist. The ADINA solution obtained for the irregular mesh is exactly equal to the theoretical value and the plate element has, therefore, the ability to represent stresses due to a constant twist.

Referance

[1] 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.

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