A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to 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% 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) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. 250 dia. 300 45° 400 45 N. 300 NA 20 dia. T₂ B Dimensions in millimeters. T₁ 150 300 dia.

A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to 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% 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) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. 250 dia. 300 45° 400 45 N. 300 NA 20 dia. T₂ B Dimensions in millimeters. T₁ 150 300 dia.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.2.4P: Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.

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A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives to 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% 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) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. 250 dia. 300 45° 400 45 N 300 NA 150 20 dia. T₂ B Dimensions in millimeters. 300 dia.
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.
A countershaft carrying two V-belt pulleys is shown in the figure. Pulley A receives power from amotor through a belt with the belt tensions shown. The power is transmitted through the shaft anddelivered to the belt on pulley B. Assume the belt tension on the loose side at B is 15 percent ofthe 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 shear-force and bending-moment diagrams for the shaft. If needed, make one set for thehorizontal plane and another set for the vertical plane.(d) At the point of maximum bending moment, determine the bending stress and the torsionalshear stress.(e) At the point of maximum bending moment, determine the principal stresses and themaximum shear stress.
2. 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, 10 in assuming the shaft is running at a constant speed. 18 in b. Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple 12 in supports. T2 C. Derive the load intensity function (q), shear force 500 lbf (V) and bending moment (M) relations by using 75 lbf the Singularity Functions. 8-in dia. В d. Draw shear-force and bending-moment 1--in dia. diagrams for the shaft. 10-in dia.
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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 Bis 15 percent of the tension on the tight side. Given: B(dg) = 7 in, T(A) = 560 lb, and TA) = 93.333 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. B(dB) T(A1) T(A2) 1 dia. 8 dia. Determine the tensions in the belt on pulley Bassuming the shaft is running at a constant speed. The tension on the loose side of the pulley is | Ibf. The tension on the tight side of the pulley is Ibf.
A gear reduction unit uses the countershaft shown in the figure. Gear A receives power. to from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. (a) Determine the force FB, assuming the shaft is running at a constant speed. (b) Find 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) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. 406.400 mm 31.750 mm dia. Gear A 508.000-mm dia. FA= = 1334.466 N 20° 355.600 mm FB 228.600 mm 20° Gear B 203.200-mm dia.
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. Given: B(dß) = 7 in, T(A₁) = 480 lb, and T(A2) = 80 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 1 dia. T(A₁) B(dB) T(A₂) B 8 dia. 8 T₂
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. Given: TẠI = 250 lbf, T42 = 37.5 lbf, da = 9 in, dg = 11.25 in, and dshaft = 1.042 in. 18 in 12 in TAI TAZ A(da) dshaft B(ds) 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) At the location of the maximum bending moment, determine the bending stress and torsional shear stress. d) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.
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?