# A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a…

A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. a) Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant speed. b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports. c) Draw shear-force and bending-moment diagrams for the shaft. If

A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent of the tension on the tight side. a) Determine the tensions in the belt on pulley B, assuming the shaft is running at a constant speed. b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports. c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one set for the horizontal plane and another set for the vertical plane. d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. e) For a factor of safety of 2 for fatigue, what Sut is needed assuming Se = 0.35Sut, ignoring any stress concentrations f) Select a grade of steel that would be appropriate for the shaft g) If the stress concentrations are Ky= 1.6 and Kis = 1.9 at the bearings and pulleys what impact does that have on Sut and material selection 10 in 18 in ? 100 12 in T2 500 lbf T 75 lbf 8-in dia. 14-in dia. B 10-in dia.

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