Q$1)$ A rectangular specimen is loaded as given in the figure below. Determine;

a$)$ The stresses in each direction,

b$)$ The strains in each direction,

c$)$ The total change in volume,

d$)$ The bulk modulus of elasticity and modulus of rigidity of the material,

e$)$ The equivalent hydrostatic pressure, which provides the same volume change as

in part $c$ for the given loading conditions,

f$)$ The Poisson's ratio of the material if the total volume change $($contraction$)$ is $40$

$c{m}^3$ for the given loading conditions.

$E=252$GPa

$=0\mathrm{.}24$