MecMovies 4.0 : M13.6: Principal Stresses from Rosette Data

After reducing the strain gage rosette data, the following normal and shear strains have been determined:

ε_x = +770 με

ε_y = -350 με

γ_xy = +1,940 μrad

For the normal stress in the x direction:

σ_{x} = \frac{E}{(1 - ν^{2})} (ε_{x} + {νε}_{y}) = \frac{70, 000 MPa}{(1 - 0 . 33^{2})} [0.000770 + (0.33) (- 0.000350)]

= 51.41 MPa

Note: The strain values must be converted from με to dimensionless values (i.e., mm/mm) before performing the calculation.