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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.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Hi, can you please help with A and B in this problem?

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.
Transcribed Image Text: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.
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