Problem 1: The shaft shown below is a constant diameter of D = 20 mm, and is loaded with two pulleys with geometry and forces shown on the diagram. All other dimensions are in mm. The pulley, B, has belt tension in which the loose side is 20% the tension on the tight side. Assume the shaft is rotating at constant speed. 250 dia. 300 45 NA 20 dia. 400 300 N T₂ 150 300 dia. a. Determine the belt tensions T, and T₂. b. Determine the reaction forces in the y and z directions at the bearings. c. Use Matlab to plot separate bending moment diagrams along the z-axis (M) and the y-axis (M). d. Use Matlab to plot the vector sum of the bending moments. Highlight on the plot where the bending moment is largest and what the magnitude is at that location. e. What is the value of the maximum stress in the shaft from bending? f. Plot a torsion diagram along the shaft length. g. What is the value of the maximum shear stress induced by the torsion in the beam?

Fig: 1