Recall from the Nov 18th lecture that we solved for the defl

Recall from the Nov 18th lecture that we solved for the deflection of a long rectangular plate under uniform loading. Now we are using the same plate, where the dimensions are a 0.5 m, b 0.1 m, and a thickness t 0.01 m. The plate is made of a material with E 2 GPa and v 1/3, and the uniform pressure Po is 10 MPa. Assume the deflection of plate is only a function of y, and that the edges x a/2 and x --a/2 are free a) Calculate the defection of the plate, w(y), if the boundary conditions on the plate are fixed at y F 0, and hinged at y b b) Identify the location along the y-axis where the deflection of the plate is the greatest. Report the maximum deflection c) Calculate oy(y) and report the oy stress at the point of maximum deflection

Solution

The loading in not shown. Assume it is uniform along the x-y area? That way the beam is loaded with the thin edge below the load.

BC at y=0 mean there is a moment there.

BC at y=b means NO MOMENT at y=b. So the moment varies from that calulated for uniform beam to a hinged beam.(0)

Delection greatest where moment greatest.

You need to specify or Figure out how the beam is supported and how the loading is applied.