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.

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.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.8P: Two sections of steel drill pipe, joined by bolted flange plates at Ä are being tested to assess the...

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