8. A2mx2mx 1 mm square plate with E = 70 GPa and v = 0.3 is subjected to a uniformly dis¬

tributed load as shown in Figure (a). Due to symmetry, it is sufficient to model one quarter of the plate with artificial boundary conditions, as shown in Figure (b). Use two triangular ele¬

ments to find the displacements, strains, and stresses in the plate. Check the answers using simple calculations from mechanics of materials.

<%= lOOMPa t t t t t t t CTw = 100 MPa 2 m TTTTTTT ffyy = lOOMPa 1^1 2 m da © >

2 /

1 m

/ 1

(a) (b)