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

scene 4 of 10

Next, consider the transformation equation for gage c to find ε_y:

ε_{a} = ε_{x} \cos^{2} θ_{a} + ε_{y} \sin^{2} θ_{a} + γ_{xy} {sinθ}_{a} {cosθ}_{a}

Gage c is aligned with the y-axis, making $θ_{c} = 90 °$ . Therefore:

{cosθ}_{c} = 0

and

{sinθ}_{c} = 1

The strain transformation equation reduces to:

ε_{c} = ε_{y} ∴ ε_{y} = - 350 με