The bracket shown in the figure has the same circular cross$-$section along the

entire length. External force is $100$ kN and it acts in x $-$direction. Normal failure

stress is $200$ MPa $.$ The factor of safety is $2.$

Write the final solution in the box for this question.

$($a$)$ What is the amplitude of the force reaction $($normal force$)$ at the support

A$?$

$($b$)$ What is the allowable normal stress?

$($c$)$ Determine the diameter $(4$ decimal places$)$ of the circular cross$-$

section, in meters, at which the normal stress will be equal to the

allowable normal stress.

Please answer all parts of the question with steps