The required information is in the attachment. Part A) Draw a free-body diagram. Show the torque reactions at supports A and C in the correct direction for resisting the applied torque, T. From your free-body diagram, write the equilibrium equation for the torques. Express the torsional equation of equilibrium for the shaft in terms of TA, and TC. Part B) Express the internal torque in AB, TA, in terms of the internal torque in BC, TC to three significant figures. (i.e., TA= ___________ TC) Part C) Using your statics equation and compatibility equation developed in Parts A and B, assume that the maximum allowable stress occurs in either AB or BC, then calculate TA and TC based on this assumption. Check your assumption and confirm that τ = 100 MPa has not been exceeded in either member. Express your answer in N−m to three significant figures.
The required information is in the attachment. Part A) Draw a free-body diagram. Show the torque reactions at supports A and C in the correct direction for resisting the applied torque, T. From your free-body diagram, write the equilibrium equation for the torques. Express the torsional equation of equilibrium for the shaft in terms of TA, and TC. Part B) Express the internal torque in AB, TA, in terms of the internal torque in BC, TC to three significant figures. (i.e., TA= ___________ TC) Part C) Using your statics equation and compatibility equation developed in Parts A and B, assume that the maximum allowable stress occurs in either AB or BC, then calculate TA and TC based on this assumption. Check your assumption and confirm that τ = 100 MPa has not been exceeded in either member. Express your answer in N−m to three significant figures.
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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Question
The required information is in the attachment.
Part A) Draw a free-body diagram. Show the torque reactions at supports A and C in the correct direction for resisting the applied torque, T. From your free-body diagram, write the equilibrium equation for the torques.
Express the torsional equation of equilibrium for the shaft in terms of TA, and TC.
Part B) Express the internal torque in AB, TA, in terms of the internal torque in BC, TC to three significant figures. (i.e., TA= ___________ TC)
Part C) Using your statics equation and compatibility equation developed in Parts A and B, assume that the maximum allowable stress occurs in either AB or BC, then calculate TA and TC based on this assumption. Check your assumption and confirm that τ = 100 MPa has not been exceeded in either member.
Express your answer in N−m to three significant figures.
Transcribed Image Text:Learning Goal:
To determine the maximum allowable torque that can be
applied to a statically indeterminate shaft without
exceeding the maximum allowable shear stress.
As shown, a solid steel shaft is rigidly supported at each
end and has a torque, T, applied at B. Determine the
maximum allowable torque, T, that can be applied to the
shaft without exceeding the maximum allowable shear
stress of T = 100 MPa. (Figure 1)
Figure
1 of 1
<>
15 mm
18 mm
T
A
B
C
-0.3 m-
-0.6 m-
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