A circular plate made of aluminum alloy (E = 72.0 GPa and Y = 276 MPa) is to have a 254-mm...

A circular plate made of aluminum alloy (E = 72.0 GPa and Y = 276 MPa) is to have a 254-mm diameter. The edge of the plate is clamped and a pressure of p = 73.8 kPa is applied. Determine the required thickness h of the plate, so that this pressure (73.8 kPa) is two-thirds of the pressure that will cause the plate to just reach yield.

Hint: Here, the stress at the edge of the plate is the significant stress, since no yield of the plate is permitted. Use Figures 13.15a and 13.15b to solve for h by trial and error, with values  and a = 276 MPa.

FIGURE 13.15 Maximum stresses and deflections in thin circular plates having large deflections and with edges clamped.