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A simply supported beam of span L and flexural rigidity EI carries a unit point load at its centre. What is the strain energy in the beam due to bending?

(a) $\frac{L^{3}}{16EI}$

(b) $\frac{L^{3}}{48EI}$

(c) $\frac{L^{3}}{96EI}$

(d) $\frac{L^{3}}{192EI}$

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