Problem $1-$Axial Forces $-10$ points

Description: Given a pinned$-$pinned $($simply supported$)$ W$10$x$12$ column made from steel $(E=29$Msi $)$

with a yield stress of $50$ksi and length of $10$ feet answer the following questions. Use Appendix B to find

the geometric properties. Circle your response.

A$)$ Given a load of $150$ kips compression what is the average compressive stress?

a$)42\mathrm{.}4$

b$)1,460$

c$)42\mathrm{.}4$ksi

d$)50$ksi

B$)$ If the average stress was instead $36$ksi what would the average axial strain be$?$

a$)1,240$

b$)1,460$

c$)0\mathrm{.}0072$

d$)10\mathrm{.}2$ksi

C$)$ What is the critical Euler buckling load?

a$)1,070$ kips

b$)557$ kips

c$)43\mathrm{.}3$ kips

d$)724$ kips

D$)$ Given the load from A$,$ is the column stable or does it buckle?

a$)$ Stable

b$)$ Buckles

E$)$ Assuming the column stays stable, if the compressive strain is instead $2,000,$ how much does

the column shrink in inches?

a$)0\mathrm{.}175$

b$)0\mathrm{.}240$

c$)0\mathrm{.}020$

d$)0\mathrm{.}410$