$1.$ A $1$ diameter cylindrical copper rod was loaded with $10000$ pounds. The rod is $60$ feet in length and Young$$s Modulus for copper is $16$ X $103$ Ksi. Calculate the following:

a$.$ Cross sectional area of the rod $($A$)$:

b$.$ Axial stress $(\backslash$sigma $)$:

c$.$ Axial strain $(\backslash$epsi $)$:

d$.$ Change in length $($L$)$:

$2.$ A steel bar is being used to support a roof structure.

a$.$ What is the axial stress of a steel support bar, which is $2$ by $6$ rectangular when loaded with $10,000$ pounds?

b$.$ If the steel support bar in use is capable of withstanding $5,000$ psi of axial stress without failure, calculate the actual safety factor?

c$.$ If the steel has a design safety factor of $5,$ what are the ramifications?

$3.$ A structural design requires that a brass cable does not compress more than $0\mathrm{.}02.$ What is the minimum diameter of the wire required if the anticipated load will be $10,000$ pounds and the length of the cable is $6$ feet? $($Young$$s Modulus for brass is $15$ X $106$ psi$)$

$4.$ If a $4$ diameter cable is used in Q$3,$ what compression would be expected? What safety issues could result, if any?