Question

A body is in plane strain in the xy plane. The strain components associated

Answer 1

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Here's your answer...

The strain components εx, εy, and γxy 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 θp, the principal strain deformations. and the maximum in-plane shear strain distortion in a sketch.

εx

εy

εxy

560 με

–340 με

–1,475 μrad

Step-by-Step Solution:

Step 1 of 4

Calculate the principal strains  acting in the principal directions.



Here, the normal strains in x and y directions are  respectively.

Substitutefor  and  for.



Calculate the maximum principal strain.



Calculate the minimum principal strain.



Therefore, the principal strains are  and.

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