Problem $3(33\%)$

A two$-$story building is shown with steel beams connected to a steel column. The roof load

$(P_C)$ is equal to $100k$ and the load from the beams at story level one $(P_B)$ is $180k.$ The

cross$-$sectional area of the first story level is $22\mathrm{.}0i{n}^2$ and $6\mathrm{.}0i{n}^2$ for the second story. Story

height $1$ is $14ft$ and story height $2$ is steel A two$-$story building is shown with steel beams connected to a steel column. The roof load $($PC$)$ is equal to $100$ k and the load from the beams at story level one $($PB$)$ is $180$k$.$ The cross$-$sectional area of the first story level is $22\mathrm{.}0$ in$2$ and $6\mathrm{.}0$ in$2$ for the second story. Story height $1$ is $14$ ft and story height $2$ is $12$ ft$.$ E$($steel$)=29,000$ ksi. $(+=$ tension, $-=$ compression$)$

$$ Draw the Axial Force Diagram with x $=0$ at $$A$$

$$ Draw the Axial Stress Diagram

$$ Draw the Axial Strain Diagram

$$ Draw the Axial Displacement Diagram

$$ What is the displacement at C

$$ How much additional load $($P$0)$ can be applied at $$C$$ if the maximum displacement at $$C$$ is limited to $1/4$ in$?$