a$)(30$ points$)$ Provide the following:

a$.$ Reactions at A and $B$

b$.$ Free Body Diagram

c$.$ Shear and Bending$-$Moment diagrams $-$ Include labels for locations of changes in both Shear

and Moment Diagrams and also indicate maximum shear and maximum moment.

b$)(10$ points$)$ Considering cross section shown has been formed by securely bonding C$83400$ Brass and

$2014-$T$6$ Aluminum stock.

a$.$ Transform the cross section by converting the Aluminum portion of the cross section to Brass

$($Hint: width will be less than $30mm)$

b$.$ Then determine the Centroid and Moment of Inertia of the transformed cross section.

c$)(10$ points$)$ Considering the Maximum Bending Moment and Moment of Inertia from part a and $b$

a$.$ Solve for the maximum compressive and tensile stress.

b$.$ Indicate location where maximum compression and maximum tension occur and the curvature

of the beam that will occur due to the loading.

d$)($Bonus $-10$ points$)-$ Draw Stress distribution along the cross section at the maximum moment,

including values at material change location