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

scene 4 of 10

Begin with the transformation equation for gage a to find ε_x:

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

Gage a is aligned with the x-axis, making $θ_{a} = 0 °$ . Therefore:

{cosθ}_{a} = 1

and

{sinθ}_{a} = 0

The strain transformation equation reduces to:

ε_{a} = ε_{x} ∴ ε_{x} = + 770 με