Problem $6\mathrm{.}4$

The truss show below is loaded at midspan with a weight $P=60lbs.$ The member lengths and cross

sectional areas are given in the figure. The members are all made of steel.

$A_{\text{t}\text{o}\text{p}}=0\mathrm{.}01227i{n}^2$

$A_{\text{d}\text{i}\text{a}\text{g}}=1\mathrm{.}09A_{\text{t}\text{o}\text{p}}$

$A_{\text{b}\text{o}\text{t}}=2\mathrm{.}35A_{\text{t}\text{o}\text{p}}$

a$)$ Verify that the forces in the members are as indicated.

b$)$ Using Trussworks, determine the vertical deflections at nodes $2$ and $4.$