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The homogeneous plate ABCD is subjected to a biaxial
Chapter 2, Problem 2.71(choose chapter or problem)
The homogeneous plate ABCD is subjected to a biaxial loading as shown. It is known that \(\sigma_{z}=\sigma_{0}\) and that the change in length of the plate in the x direction must be zero, that is, \(\epsilon_{x}=0\). Denoting by E the modulus of elasticity and by \(\boldsymbol{v}\) Poisson’s ratio, determine (a) the required magnitude of \(\sigma_{x}\) , (b) the ratio \(\sigma_{0} / \epsilon_{z}\)·
Questions & Answers
QUESTION:
The homogeneous plate ABCD is subjected to a biaxial loading as shown. It is known that \(\sigma_{z}=\sigma_{0}\) and that the change in length of the plate in the x direction must be zero, that is, \(\epsilon_{x}=0\). Denoting by E the modulus of elasticity and by \(\boldsymbol{v}\) Poisson’s ratio, determine (a) the required magnitude of \(\sigma_{x}\) , (b) the ratio \(\sigma_{0} / \epsilon_{z}\)·
ANSWER:
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