Problem Statement:

Consider the pulley system shown, with shaft diameter $d=20mm,$ pulley diameters $d_A=250,d_B=200mm,$ and

dimensions $a=300,b=400,c=150mm.$ The driving belts are under tension

$T_1=375,T_2=56\mathrm{.}25,T_3=45,T_4=300N,$ with $=45$

Draw $($on paper$)$ the shear$-$force and bending$-$moment diagrams for both planes $x-y$ and $x-z.$ At both points, A and

B$,$ calculate the net moment $M_A$ and $M_B$ by doing the vector sum of the two components, $M_y$ and $M_z,$ at the same point.

For this you need the full diagrams. Further see which one of the net moments is the largest, and use it to calculate the

max. bending stress $.$

Calculate the shear stress due to torque $$ based on the torque being transmitted.

Answer tolerance $=2\%.$ Be sure to include units and the correct sign with your answers. The sign of the bending$-$moment

$M$ and the shear$-$force $V$ follow the sign convention in the textbook. All quantities shown with arrows $($in the figures$)$ are

considered positive in the directions shown. It is to your advantage to set up the problem using the classical notation

shown in the diagram. In this way, downward loads on a simply supported beam result in positive bending moments. If any

of your loads are in the opposite direction, just take them as negative.

Your answers:

$M_{\text{m}\text{a}\text{x}}=$

$=$

$=$