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Chapter 19
Torsion

Stresses in a Shaft
The shaft PQ is subjected to a twisting force when equal and opposite torques are applied on either side. A section that cuts perpendicular to the…
Deformation in a Circular Shaft
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words,…
Circular Shaft - Stresses in Linear Range
Consider a scenario where a circular shaft is subject to torque that remains within the boundaries of Hooke's Law, avoiding any permanent…
Angle of Twist - Elastic Range
Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at…
Angle of Twist: Problem Solving
An electric motor applies a torque of 700 N·m to an aluminum shaft, triggering a stable rotation. Two pulleys, B and C, are subjected to torques…
Design of Transmission Shafts
The design of a transmission shaft is governed by two primary specifications: the power it transmits and its rotational speed. These parameters guide…
Stress Concentrations in Circular Shafts
Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's…
Plastic Deformation in Circular Shafts
When materials are subjected to forces that surpass their yield strength, they undergo a process known as plastic deformation. This results in a…
Circular Shafts - Elastoplastic Materials
The study of solid circular shafts under stress shows that within the elastic limit, stress increases directly to the distance from the shaft's…
Residual Stresses in Circular Shafts
In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials…
Torsion of Noncircular Members
Circular shafts undergoing torsional stress maintain their cross-sectional integrity due to their axisymmetric nature. This symmetry ensures an even…
Thin-Walled Hollow Shafts
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium…
Micromechanical Tension Testing of Additively Manufactured 17-4 PH Stainless Steel Specimens
This study presents a methodology for the rapid fabrication and micro-tensile testing of additively manufactured (AM) 17-4PH stainless steels by…
Optimized Sealing Process and Real-Time Monitoring of Glass-to-Metal Seal Structures
Residual stress is an essential factor to keeping the hermeticity and robustness of a glass-to-metal seal structure. The purpose of this report is to…

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