The shaft shown in Figure 4 is loaded with concentrated torques at B, C, and D, and is fixed at A. (i) Draw a torque diagram for the shaft and give the value of the internal torque in each section of the shaft. (You may use the method of sections, or the graphical method). (ii) The shaft is constructed from two separate pieces that are joined together between B and C using 12 bolts that are uniformly pitched and 8 mm in diameter. The radius of the mating surface between the pieces of shaft is 120 mm. Determine the shear stress in each bolt. (Draw an appropriate FBD and show the equilibrium calculations). Hint: Consider a FBD of the right piece of the shaft with the bolts removed, and apply the torque equilibrium condition.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...
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The shaft shown in Figure 4 is loaded with concentrated torques at B, C, and D, and is
fixed at A.
(i) Draw a torque diagram for the shaft and give the value of the internal torque in each
section of the shaft. (You may use the method of sections, or the graphical method).
(ii) The shaft is constructed from two separate pieces that are joined together between B
and C using 12 bolts that are uniformly pitched and 8 mm in diameter. The radius of the
mating surface between the pieces of shaft is 120 mm. Determine the shear stress in each
bolt. (Draw an appropriate FBD and show the equilibrium calculations).
Hint: Consider a FBD of the right piece of the shaft with the bolts removed, and apply the
torque equilibrium condition.
40 kNm
10 kNm
30 kNm
A
C
Figure 4.
[ans.: (i) TcD = 30 kNm; TBC = 20 kNm; TAB = 60 kNm (ii) Tbolts = 277 MPa]
Transcribed Image Text:The shaft shown in Figure 4 is loaded with concentrated torques at B, C, and D, and is fixed at A. (i) Draw a torque diagram for the shaft and give the value of the internal torque in each section of the shaft. (You may use the method of sections, or the graphical method). (ii) The shaft is constructed from two separate pieces that are joined together between B and C using 12 bolts that are uniformly pitched and 8 mm in diameter. The radius of the mating surface between the pieces of shaft is 120 mm. Determine the shear stress in each bolt. (Draw an appropriate FBD and show the equilibrium calculations). Hint: Consider a FBD of the right piece of the shaft with the bolts removed, and apply the torque equilibrium condition. 40 kNm 10 kNm 30 kNm A C Figure 4. [ans.: (i) TcD = 30 kNm; TBC = 20 kNm; TAB = 60 kNm (ii) Tbolts = 277 MPa]
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