Solution to Problem 210 Axial Deformation

P₁ = 4000 lb compression
P₂ = 11000 lb compression
P₃ = 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