Please answer the next five questions using the following information:

A $11$ ft long cantilever timber beam carries a uniform load of $450$ lbs$/$ft over its entire span. Design an economical and efficient Douglas Fir Glue Laminated section. The width of the Glue$-$lam should not exceed $3-1/8".$

What is the Vmax value for this beam?

What is the Mmax value for this beam?

What is the maximum deflection $($Delta Max$)$ value$$ for this beam?

What would be the required moment of inertia for this beam $($Ireq$)?$

Based on the values of Vmax, Mmax and I req, which of the following glu$-$laminated section be safe and economical?

What size timber is needed for a $10$ ft tall column supporting a load of $6500$ lbs$.?$ Use a $4$x$4$ or $4$x$6$ or $6$x$6$ or $6$x$8$ Southern Pine Timber section. E$=1,500,000$ psi, Fc $=1150$ psi. Design the most safe, stable and economical section.

What is the value of Allowable Stress $($Fa$)$ for the designed column section?

What is the value of "Actual Stress $($fa$)"$ for the designed column section?

What is the value of slenderness ratio $($L$/$d$)$ for the designed column section?