$E=210$GPa, Area, $A=0\mathrm{.}001m^2$

For the linear elastic, axially loaded member shown above, find the following.

A$)$ Find the equation for internal normal force as a function of $x,N(x).$ Make sure you use the proper sign convention for internal normal force.

B$)$ Find the deflection at point $B,{}_B.$

C$)$ Find the maximum deflection that occurs at any point on the member, ${}_{\text{m}\text{a}\text{x}}.$