Problem $2.$

A wood beam supports the loads shown in Figure below. The cross$-$sectional dimensions of the beam are also shown. Assume that the three wooden components of the beam are fully bonded and function as a single, unified structure. Determine the magnitude and note coordinates in $\backslash ((\backslash$mathrm$\{$x$\},\backslash$mathrm$\{$y$\})\backslash )$ of:

$($a$)$ the maximum horizontal shear stress in the beam.

$($b$)$ the maximum tension bending stress in the beam.