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

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.10P: The tensional pendulum shown in the figure consists of a horizontal circular disk of a mass M = 60...

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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.
Requlred Information A countershaft carrying two V-belt pulleys Is shown In the figure. Pulley A recelves power from a motor through a belt with the belt tensions shown. The power Is transmitted through the shaft and dellivered to the belt on pulley B. Assume the belt tenslon on the loose side at B Is 15 percent of the tension on the tight side. Glven B(dg) = 400 mm, TA = 575 N, and TỊA2) = 3835.25 N. 300 450 400 TIA T(A2Y `150 250 dia. B(da) 20 dia. B At the point of maximum bending moment, determine the bending stress and the torslonal shear stress. The bending stress at the point of maximum bending moment is [.09515 MPа. The torslonal shear stress at the point of maximum bending moment is 259.442 MPа.
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
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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: TA1= 550 lbf, TA2=82.5 lbf, dA=6 in, dg 7.5 in, and dshaft=1.292 in. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. TAI TA A(DA) dehaft B(da) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. The bending stress at the point of maximum bending moment is kpsi. The torsional shear stress at the point of maximum bending moment is kpsi.