7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques Tị and T; acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of di = 58 mm and length Li = 760 mm; the smaller segment has a diameter of dz = 45 mm and length of L2 = 510 mm. The material is steel with shear modulus G = 76 GPa, and the torques are T1 = 2300 N m and T3 = 900 N m. (a) Calculate the maximum shear stress rmax in the shaft and the angle of twist o. (in degrees) at end 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
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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7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques
Ti and T2 acting in opposite directions, as shown in the figure. The larger segment of
the shaft has a diameter of di = 58 mm and length Li = 760 mm; the smaller segment
has a diameter of d2 = 45 mm and length of L2 = 510 mm. The material is steel with
shear modulus G = 76 GPa, and the torques are T1 = 2300 N m and T2 = 900 N m.
(a) Calculate the maximum shear stress r max 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 segment BC? What is the resulting twist at end C?
Ans :[ T max = 50.3MPA , g. = 0.14°]
T
T
Transcribed Image Text:7. A stepped shaft ABC consisting of two solid circular segments is subjected to torques Ti and T2 acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of di = 58 mm and length Li = 760 mm; the smaller segment has a diameter of d2 = 45 mm and length of L2 = 510 mm. The material is steel with shear modulus G = 76 GPa, and the torques are T1 = 2300 N m and T2 = 900 N m. (a) Calculate the maximum shear stress r max 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 segment BC? What is the resulting twist at end C? Ans :[ T max = 50.3MPA , g. = 0.14°] T T
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