$1.$ A steel bar has a square cross section and carries an axial load in tension of $\backslash (5,000\backslash$mathrm$\{$~N$\}\backslash ).$ The cross section has a side length of $20$ mm $.$ The bar is $\backslash (1,000\backslash$mathrm$\{$~mm$\}\backslash )$ long.

a$.$ Make a detailed sketch of a section of the bar showing the coordinate system and the load. This should fit a space no less than $2"$ high by $4"$ wide $(50$ mm by $100$ mm $).$ For the force carried as an internal load this is a free body diagram. Also make a sketch of the cross section showing the dimensions. This should fit a space no less than $3"$ by $3"(75$ mm by $75$ mm $).(10$ pts$)$

b$.$ What is the cross section area, and what is the normal stress in the bar? $(15$ pts$)$

c$.$ What is the deflection $($change in length$)$ due to this load? $(10$ pts$)$