Problem $1.$ Uniaxial Stress and Strain

A $10-$mm$-$diameter rod has a modulus of elasticity of $E=100$GPa. It is $4$ m long and subjected to an axial tensile load of $6$ kN $.$ Assuming linear elastic behavior:

$($a$)$ Draw and label a diagram of the deformed material.

$($b$)$ Determine the stress.

$($c$)$ Determine the strain.

$($d$)$ Determine the elongation.