Problem $1$: Consider the rectangular wood beam below.

$P=1000lb.$

Determine the reactions for the beam at $B$ and $D.$

Draw the shear and moment diagrams on the graph paper given and label them in detail.

If $S_{\text{m}\text{a}\text{x}}=1200,{}_{\text{m}\text{a}\text{x}}=30,$ determine if the beam works for bending stress and shear stress.

Find the shear stress at the $a-$ a place in the beam if it is $6$ in above the neutral axis. Show all work. $(100\%)$

Bending Stress Equation

${}_x=-\frac{My}{\text{I}}$

Shear Stress Equations

$=\frac{VQ}{It}$

${}_{\text{m}\text{a}\text{x}}=\frac{3}{2}\frac{V}{A}$

Moment of Inertia for a Rectangular Section

$I=b\frac{h^3}{12}$

First Moment of an Area

$Q=Ay$

Elastic Curve Equation

$\frac{d^{2}y}{d{x}^2}=\frac{M(x)}{EI}$