Two wood beams, each of rectangular cross section $(3.0 \text { in. } \times 4.0$ in., actual dimensions), are glued together to form a solid beam with dimensions 6.0 in. $\times 4.0$ in. (see figure). The beam is simply supported with a span of $8 \mathrm{ft}$
(a) What is the maximum moment $M_{\max }$ 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 35 lb/ft $^{3}$.
(b) Repeat part (a) if $M_{\max }$ is based on allowable bending stress of 2500 psi.