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Transformation of Stresses/Mohr’s Circle

Mohr’s Circle (continued): Two applications of Mohr’s Circle frequently arise in the

study of strength of materials. The table below details these applications.

Type 1

The element is shown with the components of stress - σ_x, σ_y, τ_xy given.

Find the maximum and minimum normal stresses and the maximum

shear stress.

Plot the element showing the maximum and minimum normal stresses

acting on the appropriate faces of the element.

Type 2

A structural member such as a torsion member, a beam, or a pressure vessel

is described along with applied external loading. You are asked to find the maximum stress at a particular location in the member.

First find the components of stress at that location.

Then use Mohr’s Circle to find the maximum normal stress, minimum normal stress, maximum shear stress, and the orientation of the elements with these

stresses.

Plot the element showing the maximum and minimum normal stresses

acting on the appropriate faces of the element.

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