Two solid 1.625-in.-diameter steel shafts are connected by the gears shown in the figure. The shaft lengths are L₁ = 10 ft and L₂ = 17 ft. Assume that the shear modulus of both shafts is G = 12,900 ksi and that the bearings shown allow free rotation of the shafts. Assume Ng=51 teeth and Nc=32 teeth. If the gear at D is rotated through an angle of 7°, what is the maximum shear stress in each shaft? A Answers: T₁ = t₂ = Mi L₁ (1) Nc NB C B psi psi L2 (2) Tp D

Two solid 1.625-in.-diameter steel shafts are connected by the gears shown in the figure. The shaft lengths are L₁ = 10 ft and L₂ = 17 ft. Assume that the shear modulus of both shafts is G = 12,900 ksi and that the bearings shown allow free rotation of the shafts. Assume Ng=51 teeth and Nc=32 teeth. If the gear at D is rotated through an angle of 7°, what is the maximum shear stress in each shaft? A Answers: T₁ = t₂ = Mi L₁ (1) Nc NB C B psi psi L2 (2) Tp D

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...

See similar textbooks

Similar questions

A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and T2acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of dv- 2.25 in. and a length Lt= 30 in.; the smaller segment has a diameter d2— 1.75 in. and a length L, = 20 in. The torques are T, = 21,000 lb-in. and fz=10.000 lb-in. (a) Find reaction torque TAat support A. (b) Find the internal torque T(x) at two locations: x = L1/2 and x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams (FBDs).
A hollow tube ABCDE constructed of monel metal is subjected to five torques acting in the directions shown in the figure. The magnitudes of the torques are T1= 1000 lb-in., T2= T4= 500 lb-in., and T3= T5= 800 lb-in. The tube has an outside diameter of d2= 1.0 in. The allowable shear stress is 12,000 psi and the allowable rate of twist is 2.0°/ft. Determine the maximum permissible inside diameter d1, of the tube.
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.]
A full quarter-circular fillet is used at the shoulder of a stepped shaft having diameter D2= 1.0 in. (see figure), A torque T = 500 lb-in. acts on the shaft. Determine the shear stress at the stress concentration for values as follows: D1= 0.7,0.8, and 0.9 in. Plot a graph showing versus D?
The stepped shaft shown in the figure is required to transmit 600 kW of power at 400 rpm. The shaft has a full quarter-circular fillet, and the smaller diameter D1= 100 mm. If the allowable shear stress at the stress concentration is 100 MPa, at what diameter will this stress be reached? Is this diameter an upper or a lower limit on the value of D2?
Two solid 1.625-in-diameter steel shafts are connected by the gears shown in the figure. The shaft lengths are L₁= 10 ft and L₂ = 17 ft. Assume that the shear modulus of both shafts is G = 12.900 ksi and that the bearings shown allow free rotation of the shafts. Assume Ng= 51 teeth and Nc=32 teeth. If the gear at D is rotated through an angle of 7°, what is the maximum shear stress in each shaft? Answers: TI = 7₂ = i i L₁ (1) Nc 10004.11 6277.09 NB psi psi L2 Tp O
The two solid steel shafts shown in the figure are connected by gears. Determine the angle of twist of end A of shaft AB when the torque T = 25 N - m is applied. The DC axis is fixed at D. Each axis has a diameter of 20 mm. G = 70GPa.
An aluminum shaft with a constant diameter of 50 mm is loaded by torques applied to gears attached to it as shown in the figure. Using G = 28 GPa, determine the relative angle of twist of gear D relative to gear A. Note: SHOW FBD AND DETAILED SOLUTION
A compound gear train with gears P, Q, R and S has number of teeth 20, 40, 15 and 20 respectively. Gears Q and Rare mounted on the same shaft as shown in the figure below. The diameter of the gear Q is twice that of the gear R. IF the module of the gear Ris 2 mm, the centre distance in mm between gears P and Sis Q S P R I I 1
Four gears are attached to a circular shaft and transmit the torques shown in the figure. The allowable shear stress in the shaft is 10000 psi 8000 lb-in. 19,000 lb-in. 4000 lb-in. A 7000 lb-in. B D (a) What is the required diameter d of the shaft (in inches) if it has a solid cross section? in. (b) What is the required outside diameter d (in inches) if the shaft is hollow with an inside diameter of 1.4 in.? in.
The shaft of a gear box supporting two spur gears B and C is shown in figure below. The shaft is mounted on two bearings A and D. The pitch circle diameters of gears B and C are 900 and 600 mm respectively. The material of the shaft is steel FeE 580 (Sut = 770 and Syt = 580 N/mm2). The factors k, and k, are 1.5 and 2.0 respectively. Determine the shaft diameter. Assume that the gears are connected to the shaft by means of keys. 900 1609 900 4421 B 2413.67 6631.5 900 O
For the gear system shown in the figure, the diameter of shaft AB = 12 mm. Determine the diameter of shaft CD so that the maximum shear stress in shaft CD is 75 MPa and the twist angle of point D not exceed 0.026 rad. G for both shafts =77GPA Rc Fixed TCD D RB 0.4 m 0.6 m RB (mm) Rc (mm) Tcp (Nm) 56 36 1536