Question $2$: Two wood beams, each of rectangular cross section $(3\mathrm{.}0in4\mathrm{.}0in.,$ actual dimensions$),$ are glued together to form a solid beam with dimensions $6\mathrm{.}0in.4\mathrm{.}0in.$ The beam is simply supported with a span of $8$ ft $.$

a$)$ What is the maximum moment $M_{\text{m}\text{a}\text{x}}$ that may be applied at the left support if the allowable shear stress in the glued joint is $200$ psi? $($Include the effects of the beam's own weight, assuming that the wood weighs $35l\frac{b}{f}{t}^3,$ and that the weight is distributed uniformly through the length of the beam$).$

b$)$ Repeat part $($a$)$ if $M_{\text{m}\text{a}\text{x}}$ is based on allowable bending stress of $2500$ psi $.$