(Solved): 6.1 The square plate shown below has the following dimensions and material constants: L=1m,t= ...

6.1 The square plate shown below has the following dimensions and material constants: $L=1\mathrm{m},t=0.02\mathrm{m},E=30\times 10^6\mathrm{N}/{\mathrm{m}}^2$, and $v=0.3$. Use plate elements to determine the maximum displacement and von Mises stress in the slab in the following cases: (a) The four edges are clamped and the slab is under a uniform load $q=1\mathrm{N}/{\mathrm{m}}^2$. (b) The four edges are clamped and the slab is under a concentrated force $P=1\mathrm{N}$ at the center $C$. (c) The four edges are hinged and the slab is under a uniform load $q=1\mathrm{N}/{\mathrm{m}}^2$. (d) The four edges are hinged and the slab is under a concentrated force $P=1\mathrm{N}$ at the center $C$. Verify the FEA solutions with the analytical solutions given in the Table 6.1.