$(3$ pts$)$ Strain. A short compression member $3$ in $,$ by $3$ in$.$ in cross$-$section and $14$ in$.$ long is subjected to a $60,000lb$ axial compressive load. As a result, the length of the member is shortened to $10\mathrm{.}50$ in $.$ Compute the strain in the member. $-$ Hint: useful example $9\mathrm{.}14.$

$(4$ pts$)$ Shear Stress. In the bolted connection of Figure below, assume that the bolts are $1$ in$.$ diameter and that the allowable shear stress for the bolts is $16,000.$ Based on bolt shear only, compute the safe allowable load P that may be applied $-$ Hint: useful example $9\mathrm{.}9.$

$(4$ pts $)$ The relation between stress and strain. A $30-$foot$-$long steel rod is subjected to a tensile load of $17,500lb.$ The rod has a diameter of $1$ in $.$ The proportional limit for steel is $34,000$ and the modulus of elasticity $E=29,000,000$ psi. Compute $($a$)$ the tensile stress, $($b$)$ the strain, and $($c$)$ the total elongation. $-$Hint: useful examples $9\mathrm{.}16.$

$(4$ pts$)$ Factor of Safety. A short, solid compression member of the circular cross$-$section is to support a load of $130$ kips $.$ Determine the minimum required diameter for this member based on $($direct$)$ compressive stress. The member is to be made of gray cast $1$ iron. Use a factor of safety of $2\mathrm{.}0$ against compression failure.$-$Hint: $1)$ use ultimate $($compression$)$ strength as the failure stress, which can be found in textbook Appendix G$,$ and $2)$ useful examples $10\mathrm{.}6.$