For the following problems, indicate the given values of $P,A,$ or $f$ and solve for the missing value

Sketch diagram

Show all work

A short square timber post supports a load of $115$ kips. If the allowable compressive stress is

$1000$ psi, what nominal$-$size square timber should be used? $(5$ pts$.)$

A steel bolt with a diameter of $0\mathrm{.}75$ in$.$ is to be used in a joint similar to that in Figure $2\mathrm{.}26$b$.$

What is the maximum permissible load on the joint if the allowable shear stress in the bolt is

$14$ ksi? $(5$ pts$.)$

What force must be applied to a steel bar that is $1in.$ square and $2ft$ long to produce an

elongation of $0\mathrm{.}016$ in$.?(4$ pts$)$

How much will a nominal $8"8"$ Douglas fir post shorten under an axial compression load of

$45$kips if the post is $12ft$ high? Use $E=1500$ksi. $(7$ pts$.)$

A $1/2"$ diameter round steel rod $40ft.$ long supports a load of $4$ kips. How much will it

elongate? $(8$ pts$.)$For the following problems, indicate the given values of P$,$ A$,$ or f and solve for the missing value. Show all work and sketch a diagram. $1.$ How much stress is on a steel bar with cross$-$sectional dimensions of $1\mathrm{.}25$ x $1\mathrm{.}75$ while carrying a tensile load of $82$ kips? $2.$ Determine the minimum cross$-$sectional area of a steel bar required to support a tensile force of $50$ kips if the allowable tensile stress is $20$ ksi.