If the pressure for the plate in Problem 13.7 is increased, yielding will be initiated by moment Mbe at the fixed edge of the plate; however, the pressure-deflection curve for the plate will remain nearly linear until after the pressure has been increased to initiate yielding from bending at the center of the p late. Determine the required plate thickness and maximum deflection for the plate in Problem 13.7 if the plate has a factor of safety SF = 2.00 against initiation of yielding at the center of the plate.
Problem 13.7
A rectangular steel plate (E = 200 GPa, v = 0.29, and Y = 280 MPa) has a length of 2 m, width of 1 m, and fixed edges. The plate is subjected to a uniform pressure p = 270 kPa. Assume that the design pressure for the plate is limited by the maximum stress in the plate; this would be the case for fatigue loading, for instance. For a working stress limit σw = Y/2, determine the required plate thickness and maximum deflection.
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