Resolve the problem below with the vertical edges constrained from displacing in x direction, but free to displace vertically. Determine the vertical displacement of the top edge and the stresses required to prevent the vertical edges from displacing.
A rectangular material sample (2 in tall and 1 in wide is subjected to a vertical tensile stress of 50,000psi on its upper edge. The bottom edge of the sample is constrained from displacing in the vertical, or y, direction but is free to expand or contract in the horizontal, or x, direction. The stresses throughout the sample are uniform. Determine the displacement in the y direction at the top edge of the sample. Determine the displacement of the vertical edge in x direction. Assume that conditions of plane stress apply and E = 29,000,000 psi (steel).