P
1 = 4000 lb compression
P
2 = 11000 lb compression
P
3 = 6000 lb compression
$\delta = \dfrac{PL}{AE}$
$\delta = -\delta_1 - \delta_2 - \delta_3$
$\delta = -\dfrac{4\,000(3 \times 12)}{0.5(10 \times 10^6)} - \dfrac{11\,000(5 \times 12)}{0.5(10 \times 10^6)} - \dfrac{6\,000(4 \times 12)}{0.5(10 \times 10^6)}$
$\delta = -0.2184 \, \text{ in} = 0.2184 \, \text{ in (shortening)}$ answer