$2$ Homework $2-$Due@$11-59$ pm

$1$E$2502$ Homework $2-$Due @ $11-59$ pm $11-6-202$

Question $2(20$ points$)$

From Figure $1$ below, two different titanium alloy members used for the fabrication of medical device as shown. The coupling is held together with a rectangular pin. Given that the coupling is supporting a load of $25$ kN as shown.

a$.$ Draw the free body diagram.

b$.$ Calculate the shear stress in the rectangular pin. $($Note that the pin is in double shear$).$

c$.$ Calculate the normal stress on the $40$ mm by $4$ mm face.

d$.$ Calculate the normal stress on the cylindrical rods with diameter $d=18mm.$

e$.$ Calculate the shear stress in part $($c$)$ and part $($d$)$ above