Simply Supported Square Plate under Twisting
- Gokhan Alkan (Unlicensed)
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.
