$4.)$ A cantilever wood beam with a span of $L=12ft$ supports a linearly distributed load with maximum intensity of $w_0=550l\frac{b}{f}t.$ The allowable bending stress of the wood is $1\mathrm{.}85$ ksi $.$ If the aspect ratio of the solid rectangular cross section is specified as $\frac{h}{b}=0\mathrm{.}65,$ determine the minimum width $b$ that can be used for the beam. $10\mathrm{.}67in$

Hint: You will need to find the maximum bending moment. Even though this is a triangular load, you should be able use the graphical method to draw the shear and moment diagram and determine the maximum bending moment.

Once you have the maximum bending moment you can use that with the given dimensional limitations to find the width.