Question 11.3: Determine the strain energy of the prismatic cantilever beam...
Determine the strain energy of the prismatic cantilever beam AB (Fig. 11.16), taking into account only the effect of the normal stresses.
The bending moment at a distance x from end A is M = -Px. Substituting this expression into Eq. (11.17), we write
U=\int_{0}^{L} \frac{M^{2}}{2 E I} d x (11.17)
U=\int_{0}^{L} \frac{P^{2} x^{2}}{2 E I} d x=\frac{P^{2} L^{3}}{6 E I}
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