Consider the in$-$class example resulting in a $2012$ F$24-1\mathrm{.}7$E glulam beam when answering the following questions.

If the deepest $($d$)$ beam that I could fit into my structure were $12$ in$.,$ what size F$24-1\mathrm{.}7$E glulam would be required?

If the widest $($b$)$ F$24-1\mathrm{.}7$E glulam beam available was $8$ in$.,$ what size beam is required?

If the same $2012$ in$.$ F$24-1\mathrm{.}7$E glulam beam were to span $40$ feet, what is the greatest uniformly distributed load $($UDL$,$ w$)$ that could be carried?

In general, how are shear and bending stresses affected when the width of a rectangular beam is doubled $-$ justify your answer.

In general, how are shear and bending stresses affected when the depth of a rectangular beam is doubled $-$ justify your answer.

In general, if load remains unchanged, how are shear and bending stresses affected when the length of a beam is doubled $-$ justify your answer.