Problem # 4 A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown. Determine the maximum permissible value of T subject to the following conditions: tst ≤ 83 MPa, tal ≤ 55 MPa, and the angle of rotation of the free end is limited to 6°. For steel, G = 83 GPa and for aluminum, G = 28 GPa. Steel 50 mm Ø 900 mm 2T Aluminum 40 mm Ø 600 mm

Problem # 4 A compound shaft consisting of a steel segment and an aluminum segment is acted upon by two torques as shown. Determine the maximum permissible value of T subject to the following conditions: tst ≤ 83 MPa, tal ≤ 55 MPa, and the angle of rotation of the free end is limited to 6°. For steel, G = 83 GPa and for aluminum, G = 28 GPa. Steel 50 mm Ø 900 mm 2T Aluminum 40 mm Ø 600 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.17P: A stepped shaft ABC consisting of two solid, circular segments is subjected to torques T}and...

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Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

Problem # 4
A compound shaft consisting of a steel segment and
an aluminum segment is acted upon by two torques
as shown. Determine the maximum permissible
value of T subject to the following conditions: tst <
83 MPa, tal ≤ 55 MPa, and the angle of rotation of
the free end is limited to 6°. For steel, G = 83 GPa
and for aluminum, G = 28 GPa.
Steel
50 mm Ø
900 mm
2T Aluminum
40 mm Ø
600 mm

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