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

X2 e (@ 0 r X

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