A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives topower from a motor through a belt with the belt tensions shown. The power is transmittedthrough the shaft and delivered to the belt on pulley B. Assume the belt tension on the looseside at B is 15% of the tension on the tight side.(a) Determine the tensions in the belt on pulley B, assuming the shaft is running at aconstant speed.(b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simplesupports.(c) Draw shear-force and bending-moment diagrams for the shaft. If needed, make one setfor the horizontal plane and another set for the vertical plane.(d) At the point of maximum bending moment, determine the bending stress and thetorsional shear stress.(e) At the point of maximum bending moment, determine the principal stresses and themaximum shear stress.250 dia.30045°40045 N300 NA15020 dia.T₂BDimensions in millimeters.300 dia.

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Answered: A countershaft carrying two V-belt…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter4: Shear Forces And Bending Moments

Section: Chapter Questions

Problem 4.5.37P: The inclined beam represents a ladder with the Following applied loads: the weight (W) of the house...

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A countershaft carrying two V-belt pulley is shown in Figure 1. Pulley A receivespower from a motor through a belt with the belt tensions shown. The power is transmittedthrough the shaft and delivered to the belt on Pulley B. Assume the belt tension on the loose sideat 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 constantspeed).(b) Find the magnitudes of the bearing reaction forces assuming the bearings act as simplesupports.(c) Draw the shear force and bending moment diagrams for the shaft.
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a) A line shaft as shown in Figure Q is driven using a motor placed vertically below it. The pulley on the line shaft is 1.6 m in diameter and has belt tensions 7.5 kN and 2.4 kN on the tight side and slack side of the belt respectively. Both tensions may be assumed to be vertical and the weight of the pulley is negligible. If the pulley is overhang from the shaft, the distance of the centre line of the pulley from the centre line of the bearing being 500 mm.6.Figure Q(i) Predict using distortion energy theory, the appropriate diameter of the shaft that failure will not occur if the yield strength, Sy = 370 Mpa and factor of safety is 2.5. (ii) Assuming the maximum allowable shear stress of 42 MPa, find its diameter using maximum shear stress theory. (iii) Comparing the diameters in (i) and (iii) above, which of them would you have used to design your shaft and why?
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A line shaft supporting two pulleys A and B is shown in figure below. Power is supplied to the shaft by means of a vertical belt on the pulley A, which is then transmitted to the pulley B carrying a horizontal belt. The ratio of belt tension on tight and loose sides is 3:1. The limiting value of tension in the belts is 2.7 kN. The shaft is made of plain carbon steel 40C8 (Sut = 650 N/mm2 and Syt = 380 N/mm2). The pulleys are keyed to the shaft. Determine the diameter of the shaft if, k = 1.5 and k, = 1.0. (Sm valing odi of 450 A B 2500 22.0=1821 P3 4500 250 ₁ 4500 P1 A P₂ P4
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