Question #$1[1\mathrm{.}5$ mark$]$

A $45-$mm$-$diameter ASTM A$36$ steel rod is subjected to an axial tensile load of $320kN..$ The modulus of elasticity for the steel is $200,000$MPa. The modulus of rigidity of the steel is $79,000$MPa.

a$)$ Compute the axial $($longitudinal$)$ strain and the transverse strain.

b$)$ If the rod is $1\mathrm{.}5m$ long, compute the total elongation