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(See Solution) An 11-m beam is subjected to a load, and the shear force follows the equation V(x)=5+0.25 x^2 where V is the shear force, and x is length

Question: An \(11-\mathrm{m}\) beam is subjected to a load, and the shear force follows the equation

\[V(x)=5+0.25 x^{2}\]

where \(V\) is the shear force, and \(x\) is length in distance along the beam. We know that \(V=d M / d x\), and \(M\) is the bending moment. Integration yields the relationship

\[M=M_{o}+\int_{0}^{x} V d x\]

If \(M_{o}\) is zero and \(x=11\), calculate \(M\) using (a) analytical integration, (b) multiple-application trapezoidal rule. For (b) use 1-m increments.

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