$2.$Using the stress$-$strain plot on the next page, determine the elastic modulus and the yield stress under the $0\mathrm{.}2\%$ offset method.

$4.$You are considering using the material in Problem $2$ to construct a $11-$ft

tall column.

a$.$ Suppose the column must carry a load of $1,000,000$ lb without yielding, and

the maximum allowable deflection at this load is $0\mathrm{.}1$ in$.$ What cross$-$

sectional area is required to meet both requirements?

b$.$ Using the cross$-$sectional area determined in a$,$ determine the maximum

force the column can carry $($post$-$yield$),$ and the maximum deformation the

column can withstand.