For polar coordinates defined by Fig. 1.8 , show that the transformation relations can be used to

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For polar coordinates defined by Fig. 1.8 , show that the transformation relations can be used to determine the normal and shear strain components er, eq, and erq in terms of the corresponding Cartesian components:

er = ex+ey ex-ey, -+ 2 2 eo = ero = ex+ey 2 ey - ex 2 -cos 20 +exy sin 20 ex-ey 2 -cos 20exy sin 20 sin 20+

Fig 1.8

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Elasticity Theory Applications And Numerics

ISBN: 9780128159873

4th Edition

Authors: Martin H. Sadd Ph.D.

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Question Posted: Jan 15, 2024 05:00 AM

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For polar coordinates defined by Fig. 1.8 , show that the transformation relations can be used to

Question:

er = ex+ey ex-ey, -+ 2 2 eo = ero = ex+ey 2 ey - ex 2 -cos 20 +exy sin 20 ex-ey 2 -cos 20exy sin 20 sin 20+ exy cos 20

Step by Step Answer:

cos sin e QU sin cos Use twodimensiona 1 transfor...View the full answer

Elasticity Theory Applications And Numerics

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