MecMovies 4.0 : M13.5: Strain Measurement with Rosettes

scene 8 of 11

ε_a = +800 με

ε_b = -200 με

ε_c = +625 με

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} = + 880 με