The following strains were measured on pressures vessel [ varepsilon_{x}=500 times 10^{-6}, varepsilon_{y}=-100 times 10^{-6} ] and

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The following strains were measured on pressures vessel

\[ \varepsilon_{x}=500 \times 10^{-6}, \varepsilon_{y}=-100 \times 10^{-6} \]

and at \(45^{\circ}\) with \(x\)-axis, \(\varepsilon_{z}=-200 \times 10^{-6}\) Calculate

(a) the principal strains, and

(b) principal stresses.

Take \(v=0.3\) and \(E=210 \mathrm{GPa}\).

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