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A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of which is bonded to the inner surface of an aluminum tube (outer radius ro=37.5 mm). The shaft has the geometry and cross section shown below. One end (B) of the shaft is fixed onto a rigid wall while the other end (A) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GA=28 GPa for the aluminum tube. psiquia od yd (2) alum. A ΦΑ B TA L A (1) steel Cross section Figure 2.1. Composite shaft with external torque Tâ do (a) Find the angle of twist at A (§Â) due to T₁. (b) Find the maximum shear stress in the steel rod. (c) Find the maximum shear stress in the aluminum tube. (d) If the allowable angle of twist is (A)allow=10³ rad, determine the maximum length the shaft can have when subjected to T₁=350 N-m at the free end.

A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of which is bonded to the inner surface of an aluminum tube (outer radius ro=37.5 mm). The shaft has the geometry and cross section shown below. One end (B) of the shaft is fixed onto a rigid wall while the other end (A) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GA=28 GPa for the aluminum tube. psiquia od yd (2) alum. A ΦΑ B TA L A (1) steel Cross section Figure 2.1. Composite shaft with external torque Tâ do (a) Find the angle of twist at A (§Â) due to T₁. (b) Find the maximum shear stress in the steel rod. (c) Find the maximum shear stress in the aluminum tube. (d) If the allowable angle of twist is (A)allow=10³ rad, determine the maximum length the shaft can have when subjected to T₁=350 N-m at the free end.

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 parts A and B here?

A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of which is bonded to the inner surface of an aluminum tube (outer radius ro=37.5 mm). The shaft has the geometry and cross section shown below. One end (B) of the shaft is fixed onto a rigid wall while the other end (A) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GA=28 GPa for the aluminum tube. psiquia od yd (2) alum. A ΦΑ B TA L A (1) steel Cross section Figure 2.1. Composite shaft with external torque Tâ do (a) Find the angle of twist at A (§Â) due to T₁. (b) Find the maximum shear stress in the steel rod. (c) Find the maximum shear stress in the aluminum tube. (d) If the allowable angle of twist is (A)allow=10³ rad, determine the maximum length the shaft can have when subjected to T₁=350 N-m at the free end.
Transcribed Image Text:A 0.5 m-long metal composite shaft AB consists of a steel rod (radius r=25 mm), the outer surface of which is bonded to the inner surface of an aluminum tube (outer radius ro=37.5 mm). The shaft has the geometry and cross section shown below. One end (B) of the shaft is fixed onto a rigid wall while the other end (A) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GA=28 GPa for the aluminum tube. psiquia od yd (2) alum. A ΦΑ B TA L A (1) steel Cross section Figure 2.1. Composite shaft with external torque Tâ do (a) Find the angle of twist at A (§Â) due to T₁. (b) Find the maximum shear stress in the steel rod. (c) Find the maximum shear stress in the aluminum tube. (d) If the allowable angle of twist is (A)allow=10³ rad, determine the maximum length the shaft can have when subjected to T₁=350 N-m at the free end.
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