Calculate the strain energy of the beam in the figure in terms of the applied force P, applied moment $M_0$, the length L, modulus E, and area moment of inertia I. Then use Castigliano's theorem to calculate the deflection of the tip. $P$ $M_0$
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Step 1: The strain energy $U$ of a beam subjected to bending is given by: $$U = \int_0^L \frac{M^2(x)}{2EI} dx$$ where $M(x)$ is the bending moment at a distance $x$ from the fixed end. Show more…
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