Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Chapter 1, Problem 1.3.18P
A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed torque t1acting aver segment 1 and concentrated torque t2applied at C, as shown in the figure. Segment 1 of the shaft has a diameter of d1= 57 mm and length of L1= 0.75 m; segment 2 has a diameter d2— 44 mm and length L2= 0.5 m. Torque intensity /,"= 3100 N . m/m and T2= 1100 N. m.
(a) Find reaction torque TAat support A.
(b) Find the internal torque T(x) at two locations: .x = L1/2 and at .x = L1+ L2/2. Show these internal torques on properly drawn free-body diagrams.
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The figure below shows a shaft of three segments. It is restrained (fixed support) at both sides and is loaded by two torques. Use Gpronze = 35 GPa, Galum = 28 GPa, and Gsteel = 83 GPa.
Bronze
Aluminum
Steel
diameter = 25 mm
diameter = 50 mm
diameter = 25 mm
T-300 N.m- K
To-700 N.m K
D
B
2 m
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2 m
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2.5 m
Determine the angle of twist developed in steel from support B.
Select the correct response:
O 0.005 rad
0.516 rad
0413 rad
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1. A solid steel shaft ABCDE having diameter d = 40 mm turns with a constant angular velocity and freely in bearings
at points A and E. The shaft is driven by a gear at C, which applies a torque T₂ = 625 N_m in the direction shown in
the figure. Gears at B and D are driven by the shaft and have resisting torques T₁ and T3, acting in the opposite
direction to the torque T2. We know T₁ = 400 N.m, but T3 is not explicitly given in the problem. Segments BC and CD
have lengths LBC= 550 mm and LCD = 400 mm, respectively, and the shear modulus G = 80 GPa.
Determine the maximum shear stress in each segment of the shaft and the angle of twist between gears B and D.
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LCD
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= 1.3-18 A stepped shaft ABC consisting of two solid，circular segments is subjected to uniformly distrib uted torque i，acting over segment 1 and concentrated torqueT₂applied at C，as shown in the figure。Seg ment 1 of the shaft has a diameter ofd₁= 57 mm and length ofL₁= 0.75 m; segment 2 has a diameterd₂= 44 mm and lengthL₂= 0.5 m。Torque intensity1₁3100 N m / m andT₂= 1100 N·m。（a）Find reaction torque T at support A.（b）Find the internal torque T（x）at two locations：
Chapter 1 Solutions
Mechanics of Materials (MindTap Course List)
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