Q$3.(2009$ midterm$)$

The rigid bar ABC is horizontal when there is no block at C$.$ Link BD has an E of $200$ GPa and a cross$-$sectional area of $100m{m}^2$ and the pin at A has a diameter of $30$ mm $.$ After the block is placed at point C $,$ the deflection of point C is $0\mathrm{.}8$ mm $.$ Determine

a$)$ The mass of block at $C$

b$)$ The corresponding deformation of link BD

c$)$ The shear stress on the pin at A $($assume double shear$)$

d$)$ The design factor of the pin if it's made of $2014-$T$6$ aluminum and you want to ensure the pin doesn't deform permanently.