For the C clamp shown, a force is applied at the end of the $0\mathrm{.}375$ in$$diameter handle.$$The$$screw is a $0\mathrm{.}75$ in$-6$ Acme thread $($from Figure $8-3),$ and is $10\mathrm{.}00$ in long overall, with a$$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 fails. Using the force,$$determine the factor of safety for yielding at the$$interface of the screw body and the base of the first engaged thread, assuming the$$first thread carries $38$ percent of the total clamping force.

$$

where$$L$=3\mathrm{.}500$in and the maximum force that can be applied to the end of the handle to$$reach the point of yielding of the handle is$67\mathrm{.}92$ lbf$.$

a$)$ Find the clamping force.

b$)$ Using the force,$$determine the factor of safety for yielding at the$$interface of the screw body and the base of the first engaged thread, assuming the$$first thread carries $38$ percent of the total clamping force.

c$)$ Determine a factor of safety for buckling of the screw For the C clamp shown, a force is applied at the end of the $0\mathrm{.}375$ in diameter handle. The screw is a $0\mathrm{.}75$ in$-6$ Acme thread $($from Figure $8-3),$ and is $10\mathrm{.}00$ 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 $\backslash (1\backslash$mathrm$\{$in$\}\backslash ).$ It is desired that the handle will yield before the screw fails. Using the force, 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 $38$ percent of the total clamping force.

where $\backslash (\backslash$mathrm$\{$L$\}=3\mathrm{.}500\backslash )$ in and the maximum force that can be applied to the end of the handle to reach the point of yielding of the handle is $67\mathrm{.}92$ lbf $.$

a$)$ Find the clamping force.

b$)$ Using the force, 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 $38$ percent of the total clamping force.

c$)$ Determine a factor of safety for buckling of the screw