For the illustrated plane-stress state, σx denotes the shown tensile magnitude and σy the shown compressive magnitude. The material has Young modulus E and Poisson ratio ν. Find x strain.
Use signed Hooke’s law εx=(σxx−νσyy)/E. The drawing gives σxx=+σx and σyy=−σy, so εx=(σx+νσy)/E, C. Compression in y produces a positive Poisson expansion in x.
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