Power Screw Design Case Study

For the C clamp shown below, a force is applied at the end of the $\frac{3}{8}-$in diameter handle.

The screw is a $\frac{3}{4}$ in$-6$ Acme thread, and is $10$ in long overall, with a maximum of $8$ in possible in the clamping region.

The handle and screw are both made from cold$-$drawn AISI $1006$ steel.

The coefficients of friction for the screw and the collar are $0\mathrm{.}15.$

The collar, which in this case is the anvil striker's swivel joint, has a friction diameter of $1$ in $.$

It is desired that the handle will yield before the screw will fail.

Sketch free body diagrams, state all assumptions, and explain calculations step by step:

$($a$)$ Determine the maximum force that can be applied to the end of the handle to reach the point of yielding of the handle. $[5]$

$($b$)$ Using the force from part $($a$),$ determine the clamping force. $[5]$

$($c$)$ Using the force from part $($a$),$ determine the factor of safety for yielding at the interface of the screw body and the base of the first engaged thread, assuming the first thread carries $38\%$ of the total clamping force. $[10]$

ONLY NEED FREE BODY DIAGRAM $($DISLIKE IF FBD MISSING$)$