$(20$ pts$)$ An F$-18$ Hornet landing on an aircraft carrier at $150$ mph and

weighing $54,000lbs$ catches the arresting cable causing a axial tension load

$($P$)$ of $133,000lbs$ on the aircraft tail hook. Use the sketch below to

determine the following for the hollow aircraft tail hook:

A$.$ Maximum stress.

B$.$ Change in tail hook length. Use a modulus of elasticity of $29\mathrm{.}4{10}^6.$

C$.$ Tail hook, safety factor. Use a yield strength of $220$ ksi $.$

D$.$ If Poisson's ratio is $0\mathrm{.}279$ what is the tail hook lateral strain.