Determine the middepth deflection at the free end and the maximum principal stresses and...

Determine the middepth deflection at the free end and the maximum principal stresses and their location for the beam subjected to the shear load variation shown in Figure P7–20. Do this using 64 rectangular elements all of size 2 in.; then all of size 6 in. × 1 in.; then all of size 3 in. × 2 in. Then use 60 rectangular elements all of size 3 in.; then all of size 3 in. Compare the free-end deflections and the maximum principal stresses in each case to the exact solution. Let E = 30 × 10⁶ psi, n = 0:3, and t = 1 in. Comment on the accuracy of both displacements and stresses.