Compare the differences between brittle and ductile materials. Give an example for each material with their corresponding mathematical expressions. A horizontal shaft of 75 mm in diameter and 350 mm in length projects from a bearing as shown in Figure Q4. The vertical load of 10 kN, horizontal compression load of 12 kN and torque, T Nm are applied at the free end of the shaft. If the safe stress for the material is 145 MPa and assuming the Poisson's ratio is 0.3. Determine the torque, T to which the shaft may be subjected using the following theories: i) The Tresca Theory, and ii) The Von Mises Theory

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 1.10.10P: A cable and pulley system at D is used to bring a 230-lcg pole (ACB) to a vertical position, as...
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Compare the differences between brittle and ductile materials. Give an example for
each material with their corresponding mathematical expressions.
A horizontal shaft of 75 mm in diameter and 350 mm in length projects from a bearing
as shown in Figure Q4. The vertical load of 10 kN, horizontal compression load of 12
kN and torque, T' Nm are applied at the free end of the shaft. If the safe stress for the
material is 145 MPa and assuming the Poisson's ratio is 0.3. Determine the torque, T
to which the shaft may be subjected using the following theories:
i)
The Tresca Theory, and
ii)
The Von Mises Theory
10 kN
Bearing
··
350 mm
Figure Q4
12 kN
Transcribed Image Text:Compare the differences between brittle and ductile materials. Give an example for each material with their corresponding mathematical expressions. A horizontal shaft of 75 mm in diameter and 350 mm in length projects from a bearing as shown in Figure Q4. The vertical load of 10 kN, horizontal compression load of 12 kN and torque, T' Nm are applied at the free end of the shaft. If the safe stress for the material is 145 MPa and assuming the Poisson's ratio is 0.3. Determine the torque, T to which the shaft may be subjected using the following theories: i) The Tresca Theory, and ii) The Von Mises Theory 10 kN Bearing ·· 350 mm Figure Q4 12 kN
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