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/m^{2}; 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, % |
M_{xy}, N·m/m |
-11.121 |
-11.121 |
0.00 |
w_{c}, m |
-0.0064 |
-0.0064 |
0.00 |