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Method of Obtaining Planar State of Stress Using Mohr’s Circle—Some Typical Cases

Conference paper
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Part of the Lecture Notes in Mechanical Engineering book series (LNME)

Abstract

State of Stress at a point P in a stressed material in two-dimensional stress systems is said to be known if normal and shear stresses can be obtained on any plane passing through that point. Therefore, if Mohr’s Stress Circle can be uniquely constructed from the given information, it is said that the state of stress is completely known, and normal and shear stresses on any plane passing through that point can be obtained. Usually, in a 2-D system, the stresses are prescribed on two planes that are mutually perpendicular or inclined at any other angle and the construction of Mohr’s Stress Circle is easy. However, in some cases, stresses are partially known on three planes. An investigation is carried out in this paper on the conditions the given information should satisfy so that the state of stress at the point is known if stresses are given on three planes.

Keywords

State of stress Mohr’s stress circle 2-D stress 3-D stress Shear stress 

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Copyright information

© The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2022

Authors and Affiliations

  1. 1.GL Bajaj Institute of Technology and ManagementGreater Noida, Gautam Buddha NagarIndia
  2. 2.Quantum UniversityRoorkeeIndia

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