A rectangular piece of cortical bone with sides 2 cm (z) x 3 cm(x) x 4 cm (y), is tested by applying bi-axial forces in the x and y directions. Both forces have equal magnitudes Fx = Fy = 6000 N. Assume bone has an elastic modulus of 18 GPa and a Poisson's ratio of v = 0.37.
Determine the strains in the x, y, and z directions of the bone if:
a) Fx and Fy are both tensile.
b) Fx and Fy are both compressive.
c) Fx is tensile and Fy is compressive.