Three-Dimensional Mohr's Circle for Shear Stress Components
Publication: Journal of Engineering Mechanics
Volume 121, Issue 3
Abstract
The Mohr diagram is a graphical technique that is well known and widely used in stress analysis. Mohr's graphical construction enables the determination of the magnitude of the normal stress component for a given oblique plane. On the other hand, it only gives the magnitude of the total shearing stress, thus failing to provide its components. This paper is an extension of Mohr's work to overcome this shortcoming. A proposed method, based on the utilization of Cauchy's formula, along with vector analysis of both the stress vector and the normal stress component, is suggested. It allows full representation of the shearing stress components in Mohr space. This present technique is mathematically derived and graphically depicted.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 121 • Issue 3 • March 1995
Pages: 477 - 481
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Mar 1, 1995
Published in print: Mar 1995
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