Mohr's Circle is a useful tool for plotting stress and strain on a plane. It relates the normal and shear stresses on a plane to the orientation of that plane relative to principal stresses. Three key principles are that angles on the Mohr Circle are double those in real space, directions are represented by their poles, and angles are always measured in the same sense. The bottom half of the Mohr Circle represents either the sense of shear motion like left-lateral versus right-lateral slip, or clockwise versus counterclockwise rotation depending on the stress situation. Examples demonstrate how to construct and use Mohr's Circle to determine normal and shear stresses on different planes.
Mohr's Circle is a useful tool for plotting stress and strain on a plane. It relates the normal and shear stresses on a plane to the orientation of that plane relative to principal stresses. Three key principles are that angles on the Mohr Circle are double those in real space, directions are represented by their poles, and angles are always measured in the same sense. The bottom half of the Mohr Circle represents either the sense of shear motion like left-lateral versus right-lateral slip, or clockwise versus counterclockwise rotation depending on the stress situation. Examples demonstrate how to construct and use Mohr's Circle to determine normal and shear stresses on different planes.
Mohr's Circle is a useful tool for plotting stress and strain on a plane. It relates the normal and shear stresses on a plane to the orientation of that plane relative to principal stresses. Three key principles are that angles on the Mohr Circle are double those in real space, directions are represented by their poles, and angles are always measured in the same sense. The bottom half of the Mohr Circle represents either the sense of shear motion like left-lateral versus right-lateral slip, or clockwise versus counterclockwise rotation depending on the stress situation. Examples demonstrate how to construct and use Mohr's Circle to determine normal and shear stresses on different planes.
Mohr's Circle is a useful tool for plotting stress and strain on a plane. It relates the normal and shear stresses on a plane to the orientation of that plane relative to principal stresses. Three key principles are that angles on the Mohr Circle are double those in real space, directions are represented by their poles, and angles are always measured in the same sense. The bottom half of the Mohr Circle represents either the sense of shear motion like left-lateral versus right-lateral slip, or clockwise versus counterclockwise rotation depending on the stress situation. Examples demonstrate how to construct and use Mohr's Circle to determine normal and shear stresses on different planes.
Mohrs Circle for Plane Stress: Real Space and Mohr Space
Compiled by Ridho K. Wattimena 2004
The Mohr Circle is a tremendously useful way to plot stress and strain. Unfortunately, to derive it, we have to plow through a bit of trigonometry first.