Two strain gages \(a\) and \(b\) are attached to the surface of the plate which is subjected to the uniform distributed load \(w_{x}=700 \mathrm{kN} / \mathrm{m}\) and \(w_{y}=-175 \mathrm{kN} / \mathrm{m}\). If the gages give a reading of \(\epsilon_{a}=450\left(10^{-6}\right)\) and \(\epsilon_{b}=100\left(10^{-6}\right)\), determine the modulus of elasticity \(E\), shear modulus \(G\), and Poisson's ratio \(u\) for the material.

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W. b