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What is the Strain energy equation?

(a) Ue=\(\frac{1}{2}\)q^Tk^eq

(b) Ue=\(\frac{1}{2}\)q^ek^eq

(c) Ue=\(\frac{1}{2}\)qk^e

(d) Ue=\(\frac{1}{2}\)q^Tk^e

I have been asked this question by my college director while I was bunking the class.

My doubt is from One Dimensional Problems topic in chapter One Dimensional Problems of Finite Element Method

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The correct answer is (a) Ue=\(\frac{1}{2}\)q^Tk^eq

Best explanation: Strain energy is defined as the energy stored in the body due to deformation. The strain energy per unit volume is known as strain energy density and the area under stress-strain curve towards the point of deformation. When the applied force is released, the system returns to its original shape.

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