The state of strain at the point on the leaf of the caster

Chapter 10, Problem 10-5

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The state of strain at the point on the leaf of the caster assembly has components of \(\epsilon_{x}=-400\left(10^{-6}\right)\), \(\epsilon_{v}=860\left(10^{-6}\right), \quad \text { and } \gamma_{x y}=375\left(10^{-6}\right)\). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of \(\(\theta=30^{\circ}\)\) counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.

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