Equiangular Strain Rosette

For this rosette configuration, the solutions to< and are as follows:



With these 3 strain values known, the strain Mohr’s circle can be drawn to give the principle strains (as shown in Example 6).

The principal normal stress and strain are related by:

Hence and can be found after are found using strain Mohr’s circle.
Thereafter, stress Mohr’s circle can be drawn and can be found.

Example 7
A certain point on a steel machine part, measurements with an electric equiangular strain rosette indicate that,


(a) Determine the
(b) Determine the principal strains using Mohr’s circle.
(c) Determine the principal normal stress and .
(d) Determine the complete state of stress using Mohr’s circle.

Solution:

(a)

(b) The principal strains are obtained as done in Example 6.
(c) Determine and
For steel, take E = 200 GPa
= 0.3



With and known, the stress Mohr’s circle can be constructed since and forms the diameter of the circle at the x-axis

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