Question $1$

The forces acting on a rectangular steel bar are shown in below.

a$.$ What is the total change in volume of the steel bar if its modulus of elasticity is $2100000kg\frac{f}{c}{m}^2$ and Poisson's ratio is $0\mathrm{.}25?$

b$.$ What must be the magnitude of the $P_2$ load so that there will be no change in volume?

Hint: Consider tensile stress as positive and compressive stress as negative.

Reminder: $K=\frac{E}{3(1-2v)}$

$K=\frac{{}_h}{\frac{V}{V_0}}$