The strain components $$ \epsilon_x $$, $$ \epsilon_y $$, and $$ \gamma_{xy} $$ are given for a point in a body subjected to plane strain. Determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle $$ \theta_p $$, the principal strain deformations, and the maximum in-plane shear strain distortion on a sketch. $$ \epsilon_x = -290 \mu \epsilon $$, $$ \epsilon_y = 490 \mu \epsilon $$, and $$ \gamma_{xy} = 1150 \mu rad $$.
Part 1
Calculate the principal strains at the point.
Answer:
$$ \epsilon_{p1} = $$
$$ \mu \epsilon $$
$$ \epsilon_{p2} = $$
$$ \mu \epsilon $$