A Steel Beam with a Rectangular cross section is to support a lateral load of $1200$ lb at its free end as shown in the figure.

a$)$ Calculate the Maximum Bending Stress, b$)$ Maximum Shear Stress and c$)$ Maximum Deflection

Given:

Material: Steel with:

$S_Y=36,000$

Modulus of Elasticity, $E=29{10}^6$ psi

$L=$ Length, $L=6\mathrm{.}5ft.$

Section Geometry: Prismatic Rectangular Bar with $B={1\mathrm{.}75}^{\text{'}\text{'}},H={3\mathrm{.}5}^{\text{'}\text{'}}$

$I=(\frac{1}{12})B{H}^3$