A rectangular titanium plate similar to the one shown in the figure has the following dimensions: a $=20$ mm$,$ b $=15$ mm$,$ and c $=5$ mm$.$ Uniformly distributed tension forces of $7\mathrm{.}5$ kN act in the z direction. Determine a$)$ the strain in the x direction, b$)$ the strain in the y direction, c$)$ the strain in the z direction, d$)$ elongation or shortening of side a$,$ e$)$ elongation or shortening of side b$,$ f $)$ elongation or shortening of side c and f$)$ The value of the effort necessary along the x axis to prevent deformation in that direction. Consider E $=120$ GPa and $=0\mathrm{.}35.$ It must be indicated whether the deformations are lengthening or shortening.