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Chapter 19

Torsion

Stresses in a Shaft
Stresses in a Shaft
A shaft PQ is twisted when subjected to equal and opposite torques on either side. Consider a section perpendicular to the shaft's axis through an ...
Deformation in a Circular Shaft
Deformation in a Circular Shaft
A unique property of circular shafts is that under torsion, every cross-section remains plane and undistorted, rotating as a solid rigid slab. To ...
Circular Shaft - Stresses in Linear Range
Circular Shaft - Stresses in Linear Range
Consider a case when the torque applied to the circular shaft is within Hooke's law limit, so there is no permanent deformation. Now, recall the ...
Angle of Twist - Elastic Range
Angle of Twist - Elastic Range
Consider a circular shaft of length L and a uniform cross-section of radius r subjected to a torque at its free end. The maximum shearing strain in the ...
Angle of Twist: Problem Solving
Angle of Twist: Problem Solving
The electric motor exerts a 700 N-m torque on an aluminium shaft, causing it to rotate at a constant speed. Pulleys B and C experience torques of 300 N-m ...
Design of Transmission Shafts
Design of Transmission Shafts
The design specifications required for a transmission shaft are the power transmitted by the shaft and its rotation speed. Based on these specifications, ...
Stress Concentrations in Circular Shafts
Stress Concentrations in Circular Shafts
Recall the elastic torsion formula, applicable to a circular shaft with a uniform cross-section. Here, it is assumed that the shafts are loaded at their ...
Plastic Deformation in Circular Shafts
Plastic Deformation in Circular Shafts
When materials are subjected to stresses exceeding their yield strength, plastic deformation occurs, causing a permanent strain. In the case of circular ...
Circular Shafts - Elastoplastic Materials
Circular Shafts - Elastoplastic Materials
Within the elastic limit, the maximum stress in a solid circular shaft varies linearly with a radial distance from its axis. As the torque increases, the ...
Residual Stresses in Circular Shafts
Residual Stresses in Circular Shafts
In elastoplastic materials, residual stress can develop when the material undergoes plastic deformation due to high shearing stress or large strains. When ...
Torsion of Noncircular Members
Torsion of Noncircular Members
During torsional loading, the cross-sections of the circular shafts remain plane and undistorted since they are axis-symmetric. However, due to the lack ...
Thin-Walled Hollow Shafts
Thin-Walled Hollow Shafts
Consider a small portion of width 'dx' from a thin-walled hollow shaft of thickness 't' subjected to torsional loading. Since the portion ...
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