A stepped shaft ABC consisting of two solid circular segments is subjected to torques T1 and T2 acting onposite directions, as shown in the figure below. The larger segment of the shaft has diameter di 56 mm and length LI 750 mm; the smaller segment has diameter da 44 mm and length Lo 500 mm. The material is steel with shear modulus G 80 GPa, and the torques are T1-2000 N.m and Ta = 800 N.m. Calculate the following quantities: (a) the maximum shear stress Tmax in the shaft, and (b) the angle of twist 0 (in degrees) at end C. (c) the total strain energy stored in the shaft.

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 3.8.7P: A stepped shaft ACE is held against rotation at ends A and B and subjected to a torque T0acting at...
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stepped shaft ABC consisting of two solid circular segments is subjected to torques T1 and T2 acting
n opposite directions, as shown in the figure below. The larger segment of the shaft has diameter
di = 56 mm and length LI
500 mm. The material is steel with shear modulus G = 80 GPa, and the torques are T1= 2000 N.m and
Ta = 800 N.m. Calculate the following quantities: (a) the maximum shear stress Tmax in the shaft, and
(b) the angle of twist 0 (in degrees) at end C. (c) the total strain energy stored in the shaft.
750 mm; the smaller segment has diameter da = 44 mm and length
%3D
T1
T2
d2
B
IC
-L2-
Transcribed Image Text:stepped shaft ABC consisting of two solid circular segments is subjected to torques T1 and T2 acting n opposite directions, as shown in the figure below. The larger segment of the shaft has diameter di = 56 mm and length LI 500 mm. The material is steel with shear modulus G = 80 GPa, and the torques are T1= 2000 N.m and Ta = 800 N.m. Calculate the following quantities: (a) the maximum shear stress Tmax in the shaft, and (b) the angle of twist 0 (in degrees) at end C. (c) the total strain energy stored in the shaft. 750 mm; the smaller segment has diameter da = 44 mm and length %3D T1 T2 d2 B IC -L2-
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