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1. |
A material of youngs modulus and Poissons ratio of unity is subjected to two principal stresses σ1 and σ2 at a point in two dimensional stress system. The strain energy per unit volume of the material is$ |
A. | (σ<sub>1</sub><sup>2</sup> + σ<sub>2</sub><sup>2</sup> – 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
B. | (σ<sub>1</sub><sup>2</sup> + σ<sub>2</sub><sup>2</sup> + 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
C. | (σ<sub>1</sub><sup>2</sup> – σ<sub>2</sub><sup>2</sup> – 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
D. | (σ<sub>1</sub><sup>2</sup> – σ<sub>2</sub><sup>2</sup> – 2σ<sub>1</sub>σ<sub>2</sub> ) / 2E |
Answer» B. (‚âà√¨‚àö√¢<sub>1</sub><sup>2</sup> + ‚âà√¨‚àö√¢<sub>2</sub><sup>2</sup> + 2‚âà√¨‚àö√¢<sub>1</sub>‚âà√¨‚àö√¢<sub>2</sub> ) / 2E | |