3.4-3) A stepped shaft ABCD consisting of solideircular segments is subjected to three torques, asshown in the figure. The torques have magnitudes of12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length ofeach segment is 25 in. and the diameters of the segmentsare 3.5 in., 2.75 in., and 2.5 in. The material is steel withshear modulus of elasticity G = 11.6 × 10³ ksi.(a) Calculate the maximum shear stress max in theshaft and the angle of twist , (in degrees) atend D.(b) If each segment must have the same shear stress,find the required diameter of each segment inpart (a) so that all three segments have shearfrom part (a). What is the resultingstress T,maxangle of twist at D?12.5 kip-in.|3.5 in.9.8 kip-in.| 2.75 in.9.2 kip-in.2.5 in.C.25 in.25 in.25 in.PROBLEM 3.4-3

Answered: Image /qna-images/answer/21a28349-4778-4afb-9207-b8483b5858d2.jpg

3.4-3) A stepped shaft ABCD consisting of solid eircular segments is subjected to three torques, as shown in the figure. The torques have magnitudes of 12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length of each segment is 25 in. and the diameters of the segments are 3.5 in., 2.75 in., and 2.5 in. The material is steel with shear modulus of elasticity G = 11.6 × 10³ ksi. %3D (a) Calculate the maximum shear stress 7max in the shaft and the angle of twist &, (in degrees) at D end D. (b) If each segment must have the same shear stress, find the required diameter of each segment in part (a) so that all three segments have shear stress Tmax from part (a). What is the resulting angle of twist at D? 12.5 kip-in. 13.5 in. 9.8 kip-in. | 2.75 in. 9.2 kip-in. 12.5 in. B 1 C 25 in. 25 in. 25 in.

3.4-3) A stepped shaft ABCD consisting of solid eircular segments is subjected to three torques, as shown in the figure. The torques have magnitudes of 12.5 kip-in., 9.8 kip-in., and 9.2 kip-in. The length of each segment is 25 in. and the diameters of the segments are 3.5 in., 2.75 in., and 2.5 in. The material is steel with shear modulus of elasticity G = 11.6 × 10³ ksi. %3D (a) Calculate the maximum shear stress 7max in the shaft and the angle of twist &, (in degrees) at D end D. (b) If each segment must have the same shear stress, find the required diameter of each segment in part (a) so that all three segments have shear stress Tmax from part (a). What is the resulting angle of twist at D? 12.5 kip-in. 13.5 in. 9.8 kip-in. | 2.75 in. 9.2 kip-in. 12.5 in. B 1 C 25 in. 25 in. 25 in.

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 3.4.11P: A tapered bar AB with a solid circular cross section is twisted by torques T = 36,000 lb-in. (sec...

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