3.4-1 A stepped shaft ABC consisting of two solid circular segments is subjected to torques 7, and 72 acting in oppo- site directions, as shown in the figure. The larger segment of the shaft has a diameter of d =58 mm and length 760 mm; the smaller segment has a diameter of d45 mm and length of L = 510 mm. The material is steel with shear modulus G-76 GPa, and the torques ards 7, 2300 Nm and 7 900 N-m. (a) Calculate the maximum shear stress Tax in the shaft and the angle of twist o (in degrees) at end C (b) If the maximum shear stress in BC must be the same as that in AB, what is the required diameter of seg- ment BC? What is the resulting twist at end C? A Lo Li
3.4-1 A stepped shaft ABC consisting of two solid circular segments is subjected to torques 7, and 72 acting in oppo- site directions, as shown in the figure. The larger segment of the shaft has a diameter of d =58 mm and length 760 mm; the smaller segment has a diameter of d45 mm and length of L = 510 mm. The material is steel with shear modulus G-76 GPa, and the torques ards 7, 2300 Nm and 7 900 N-m. (a) Calculate the maximum shear stress Tax in the shaft and the angle of twist o (in degrees) at end C (b) If the maximum shear stress in BC must be the same as that in AB, what is the required diameter of seg- ment BC? What is the resulting twist at end C? A Lo Li
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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Question
![3.4-1 A stepped shaft ABC consisting of two solid circular
segments is subjected to torques 7, and 72 acting in oppo-
site directions, as shown in the figure. The larger segment
of the shaft has a diameter of d =58 mm and length
760 mm; the smaller segment has a diameter of
d45 mm and length of L = 510 mm. The material is
steel with shear modulus G-76 GPa, and the torques ards
7, 2300 Nm and 7 900 N-m.
(a) Calculate the maximum shear stress Tax in the
shaft and the angle of twist o (in degrees) at end C
(b) If the maximum shear stress in BC must be the
same as that in AB, what is the required diameter of seg-
ment BC? What is the resulting twist at end C?
A
Lo
Li](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2006393e-c97e-4081-8173-0190425f3dd9%2F1c8f05a6-bb8e-4620-9192-14b994bcdef4%2F8ps33cs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.4-1 A stepped shaft ABC consisting of two solid circular
segments is subjected to torques 7, and 72 acting in oppo-
site directions, as shown in the figure. The larger segment
of the shaft has a diameter of d =58 mm and length
760 mm; the smaller segment has a diameter of
d45 mm and length of L = 510 mm. The material is
steel with shear modulus G-76 GPa, and the torques ards
7, 2300 Nm and 7 900 N-m.
(a) Calculate the maximum shear stress Tax in the
shaft and the angle of twist o (in degrees) at end C
(b) If the maximum shear stress in BC must be the
same as that in AB, what is the required diameter of seg-
ment BC? What is the resulting twist at end C?
A
Lo
Li
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