A 50-in long cantilever circular bar ABC is subjected to a torque T acting at point B, located at a distance x from the fixed support A and a torque T/3 applied at point C, with the senses shown in the figure. The cross-section of the bar is solid for segment AB and it has an internal cylindrical hole in the BC segment, as also shown in the figure. Assume that G = 3,770 ksi and T = 12kip.ft. A T B C T/3 X L = 50 in 3 in 2.4 in 3 in Cross-section of segment AB Cross-section of segment BC Figure 3.1: Cantilever shaft with external loads and cross-sections a) Draw the torsion moment diagram for the bar ABC. b) If the angle of twist at point C is equal to opc = 0.047 rad, find the value of the distance x. c) Calculate the angle of twist at point B. d) Calculate the maximum shear stress in segment AB and segment BC of the bar and show the stress distribution in the cross-section for each case. Show all important values in the sketch of the stress distributions.

A 50-in long cantilever circular bar ABC is subjected to a torque T acting at point B, located at a distance x from the fixed support A and a torque T/3 applied at point C, with the senses shown in the figure. The cross-section of the bar is solid for segment AB and it has an internal cylindrical hole in the BC segment, as also shown in the figure. Assume that G = 3,770 ksi and T = 12kip.ft. A T B C T/3 X L = 50 in 3 in 2.4 in 3 in Cross-section of segment AB Cross-section of segment BC Figure 3.1: Cantilever shaft with external loads and cross-sections a) Draw the torsion moment diagram for the bar ABC. b) If the angle of twist at point C is equal to opc = 0.047 rad, find the value of the distance x. c) Calculate the angle of twist at point B. d) Calculate the maximum shear stress in segment AB and segment BC of the bar and show the stress distribution in the cross-section for each case. Show all important values in the sketch of the stress distributions.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.15P: The nonprismalic cantilever circular bar shown has an internal cylindrical hole of diameter dtl From...

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