Representative Problems

$8\mathrm{.}2-5$ A hemispherical window $($or viewport$)$ in a

decompression chamber $($see figure$)$ is subjected to

an internal air pressure of $85$ psi $.$ The window is

attached to the wall of the chamber by $14$ bolts.

$($a$)$ Find the tensile force $F$ in each bolt and the ten$-$

sile stress $$ in the viewport if the radius of the

hemisphere is $14$ in $.$ and its thickness is $1\mathrm{.}25$ in$.$

$($b$)$ If the yield stress for each of the $14$ bolts is

$50$ ksi and the factor of safety is $3\mathrm{.}0,$ find the

required bolt diameter.

$($c$)$ If the stress in the viewport is limited to $500$ psi $,$

find the required radius of the hemisphere.