An additional support is now added at point C (there is no longer T/3 acting at point C). For this configuration the value T is not given. The cross-sectional properties are the same as in the previous part. A B C T X L = 50 in Figure 3.2: Shaft with two fixed ends Find the distance x where you should place I so that the reactive torques at the supports A and C are equal. Note that, as in Part I, x also represents the length of the solid section AB. 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 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.
An additional support is now added at point C (there is no longer T/3 acting at point C). For this configuration the value T is not given. The cross-sectional properties are the same as in the previous part. A B C T X L = 50 in Figure 3.2: Shaft with two fixed ends Find the distance x where you should place I so that the reactive torques at the supports A and C are equal. Note that, as in Part I, x also represents the length of the solid section AB. 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 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
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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Transcribed Image Text:An additional support is now added at point C (there is no longer T/3 acting at point C). For this
configuration the value T is not given. The cross-sectional properties are the same as in the
previous part.
A
B
C
T
X
L = 50 in
Figure 3.2: Shaft with two fixed ends
Find the distance x where you should place I so that the reactive torques at the supports A and C
are equal. Note that, as in Part I, x also represents the length of the solid section AB.
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
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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