HW $1(100$ points$)$

Calculate the magnitude of the force FB assuming that the shaft is rotating at a constant speed. $(2$ points$)$

Calculate the reactions at supports O and C for the shaft shown in the figure. $(5$ points$)$

Draw the axial force, torque, shear force and bending moment diagrams. Note that the bending occurs in two

planes, XY and XZ $,$ hence, you will have two shear force and bending diagrams. $(18$ points$)$

Locate the most critical section. You must give reason $($with numerical backing$)$ for your choice. $(5$ points$)$

Calculate all the stresses at the four points $($top$,$ bottom, right left$)$ and at the point with maximum bending stress

$(20$ points$)$

Draw the stress state cubes at all the five points. $(10$ points$)$

Draw the Mohr's Circle for all the points which have a plane stress state. Clearly show the principal stress, max

shear stress and the original two points on the Mohr's circle. Also, report the co$-$ordinates of the center and the

radius of the Mohr's circle. $(20$ points$).$

Draw the rotated stress states for the principal stresses and max shear stress, clearly indicating the angle of

rotation. $(20$ points$)$

PLEASE PLEASE DO $5-8.$ WILL GIVE UPVOTE.