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 (4) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GAI-28 GPa for the aluminum tube. osiquicl edt yd (2) alum. A B 0 TA A (1) steel Cross section Figure 2.1. Composite shaft with external torque TA (a) Find the angle of twist at A (OA) due to TA. (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 TA=350 N-m at the free end.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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 (4) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the
steel rod and GAI-28 GPa for the aluminum tube.
osiquicl edt yd
(2) alum. A
B
0
TA
A
(1) steel
Cross section
Figure 2.1. Composite shaft with external torque TA
(a) Find the angle of twist at A (OA) due to TA.
(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 TA=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 (4) is subjected to an external torque T₁=350 N-m. Take Gst=78 GPa for the steel rod and GAI-28 GPa for the aluminum tube. osiquicl edt yd (2) alum. A B 0 TA A (1) steel Cross section Figure 2.1. Composite shaft with external torque TA (a) Find the angle of twist at A (OA) due to TA. (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 TA=350 N-m at the free end.
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