MecMovies 4.0 : M13.5: Strain Measurement with Rosettes

To determine the principal strains and maximum shear strain, use the following equations:

ε_{p 1}, ε_{p 2} = \frac{ε_{x} + ε_{y}}{2} \pm \sqrt{{(\frac{ε_{x} - ε_{y}}{2})}^{2} + {(\frac{γ_{xy}}{2})}^{2}}

γ_{\max} = 2 \sqrt{{(\frac{ε_{x} - ε_{y}}{2})}^{2} + {(\frac{γ_{xy}}{2})}^{2}}

Substitute values for ε_x, ε_y, and γ_xy and solve:

ε_{p 1}, ε_{p 2} = \frac{- 215 + 460}{2} \pm \sqrt{{(\frac{- 215 - 460}{2})}^{2} + {(\frac{505}{2})}^{2}}

γ_{\max} = 2 \sqrt{{(\frac{- 215 - 460}{2})}^{2} + {(\frac{505}{2})}^{2}}