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

The shear stress is given by

τ_{xy} = {Gγ}_{xy}

Although the shear modulus G is not given, G can be readily computed from the following relationship:

G = \frac{E}{2 (1 + ν)} = \frac{70, 000 MPa}{2 (1 + 0.33)} = 26, 316 MPa

The shear stress can now be computed:

τ_{xy} = {Gγ}_{xy} = (26, 316 MPa) (0.001940) = 51.05 MPa