4-67. Figure P4-67 shows a shaft carrying three gears that rotates at 1150 rpm. Gear A delivers 20 kW to a mat- ing gear that drives a mixer. Gear C delivers 12 kW to a different mating gear that drives a circular saw. All power comes into the shaft through gear B. Consider- ing only torsion, compute the shearing stress in each part of the shaft. Consider stress concentrations. C

4-67. Figure P4-67 shows a shaft carrying three gears that rotates at 1150 rpm. Gear A delivers 20 kW to a mat- ing gear that drives a mixer. Gear C delivers 12 kW to a different mating gear that drives a circular saw. All power comes into the shaft through gear B. Consider- ing only torsion, compute the shearing stress in each part of the shaft. Consider stress concentrations. C

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.7.3P: A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at...

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A motor driving a solid circular steel shaft with diameter d = 1.5 in, transmits 50 hp to a gear at B, The allowable shear stress in the steel is 6000 psi. Calculate the required speed of rotation (number of revolutions per minute) so that the shear stress in the shaft does not exceed the allowable limit.
The steel axle of a large winch on an ocean liner is subjected to a torque of 1.65 kN · m (see figure). What is the minimum required diameter dminif the allowable shear stress is 48 M Pa and the allowable rate of twist is 0.75º/m? (Assume that the shear modulus of elasticity is 80 G Pa.) Repeat part (a) if the shaft is now hollow with an inner diameter of 5d/8, Compare dminvalues to corresponding values from part (a)
A solid circular shaft AB of diameter d is fixed against rotation at both ends (sec figure), A circular disk is attached to the shaft at the location shown. What is the largest permissible angle of rotation 0max of the disk if the allowable shear stress in the shaft is Tallow? [Assume that a >b. Also, use Eqs. (3-50a and b) of Example 3-9 to obtain the reactive torques.]
13–31 Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclockwise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler.(a) Find the force F3b that gear 3 exerts against shaft b.
In the geared shaft shown below, gears A and B and gears C and D are separated by 500 mm. Gears B and C are separated by 400 mm. Gear A is experiencing a 250N⋅m250N⋅m clockwise torque; gear B is experiencing a 75N⋅m75N⋅m counter-clockwise torque; gear C is experiencing a 325N⋅m325N⋅m counter-clockwise torque; and gear D is experiencing a 150N⋅m150N⋅m clockwise torque. What is the absolute maximum shear stress in the shaft (in MPa) if the shaft has a 50-mm diameter?
The diameters of the solid shafts in the gear wheel set shown in the figure are dAB = 20mm, dCD = 25mm, dEF = 40mm. Since the safety shear stress of each shaft is 90MPa, determine the largest T torque that can be applied. Calculate the total angle of rotation in A for the maximum applied torque value.
A solid constant-diameter circular shaft is subjected to torques TA = 420 lb- ft, TB = 1,040 lb- ft, TC = 850 lb-ft, andTD = 230 lb-ft, acting in the directions shown in the figure. The bearings shown allow the shaft to turn freely. (a) Plot a torque diagram showing the internal torque in segments (1), (2), and (3) of the shaft. Use the right-hand rule. (b) If the allowable shear stress in the shaft is 6,000 psi, what is the minimum acceptable diameter for the shaft?
Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclockwise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler (b) Find the torque T4c that gear 4 exerts on shaft c.
A steel shaft ABCD of length L = 6.5 is shown in Figure 4. Given the torque at A, B, C andD is 80 kNm, 150 kNm, 60 kNm and 10 kNm, respectively. The shaft has a diameter of200 mm.a) Determine the angle of twist of the end A. b) Calculate the angle of twist of A relative to C. c) Plot a diagram of torque, T versus length, L of the shaft.
In the gear system shown in the figure, the motor applies a torque of 231 N-m to the gear at A. A torque of TC = 440 N-m is removed from the shaft at gear C, and the remaining torque is removed at gear D. Segments (1) and (2) are solid 38-mm-diameter steel (G = 80 GPa) shafts, and the bearings shown allow free rotation of the shaft. Assume DA = 110 mm, DB = 370 mm, L1 = 1.7 m, and L2 = 1.1 m. Calculate the rotation angle of gear D relative to gear B. Express your answer in radian rounded to the nearest thousandths.
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The splined ends and gears attached to the steel shaft are subjected to the torques shown in Figure 4. Take G = 75 GN/m². (i) (ii) Determine the location along the 40 mm diameter shaft where the shear stress is largest and plot the variation in shear stress from the shaft centre to its outer surface. Determine the angle of twist of sections C, D, and B relative to end A by producing a graphical plot of the variation of angle of twist from end A to end B (wind-up diagram). 300 N-m 500 N-m A www. 300 mm 200 N.m MAAN 400 mm Figure 4 500 mm 400 N-m