Analyze the structure shown in Figure $2-1.$ Draw the free body diagram and determine the reactions. Draw the shear force and bending moment diagram. Determine the maximum bending moment and the maximum bending stress at the location of the maximum bending moment. Compute the maximum deflection of the beam. $(35$ points$)$

Figure $2-1$: Simply supported beam with a uniform load and concentrated load

The details of the beam and loading are:

$,$ Beam: W$1430$

$,$ Young's modulus: $29000$ksi

Uniform load, w: $1\mathrm{.}35$kip$\frac{s}{f}t$

$,$ Concentrated load, P: $10$ kips

$,$ Report the stress in ksi, rounded to $2$ decimal places

$,$ Report the deflection in inches, rounded to $2$ decimal pl