Shaft ABCDE is made by three segments as follows:

Segment AB is made of A$992$ steel and has a diameter of $1\mathrm{.}5$ in$.$

Segment BD is made of bronze C$86100$ and has a diameter of $3$ in $.$

DE is made of aluminum $2014$ and has a diameter of $2\mathrm{.}0in.$

Determine the displacement in inches of point A$.$ Assume P$1=10$ lb$,$ P$2=20$ lb $,$ and $P3=50lb.$