Recall from the Nov 18th lecture that we solved for the deflection of a long rec
ID: 2327133 • Letter: R
Question
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 deflectionExplanation / Answer
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.
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