Example $10\mathrm{.}6$ A steel conical tank, supported at its edges, is filled with a liquid of

density $.$ The yield point stress $({}_{yp})$ of the material is known. The cone angle is $2.$

Determine the required wall thickness $t$ of the tank based on a factor of safety FS$.$

Apply $($a$)$ the maximum shear theory and $($b$)$ the maximum shear distortion theory.

Figure Ex$10\mathrm{.}6\mathrm{.}1$ Cross section of conical tank