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Given the strain components e_x, e_y, and e_xy, this calculator computes the principal strains e₁ and e₂, the principal angle q_p, the maximum shear strain e_{xy max} and its angle q_s. It also illustrates an approximate Mohr's cirlce for the given strain state.

Normal Strain ex:
Normal Strain ey:
Shear Strain exy:

Answers

Maximum Normal Stain e1:  1.65     Minimum Normal Strain e2:  -0.547     Principal Angle qp:  32.9  deg   Maximum Shear Strain exymax:  1.10     Maximum Shear Angle qs1:  77.9  deg   and qs2:  -12.1  deg

 

Note: The strain measure e_xy is used in this calculation. Please adjust accordingly when using the engineering shear strain .

The Mohr's circle associated with the above strain state is similar to the following figure. However, the exact loaction of the center e_Avg, the radius of the Mohr's circle R, and the principal angle q_p may be different from what are shwon in the figure.

Further information can be found in the plane strain, Mohr's Circle, and the Mohr's Circle usage pages.