The ideal column has a weight w (force>length) and is
Chapter 13, Problem 13-41(choose chapter or problem)
The ideal column has a weight w (force>length) and is subjected to the axial load P. Determine the maximum moment in the column at midspan. EI is constant. Hint: Establish the differential equation for deflection, Eq. 13–1, with the origin at the midspan. The general solution is \(v=C_{1} \sin k x+C_{2} \cos k x+(w /(2 P)) x^{2}-(w L /(2 P)) x-\left(w E I / P^{2}\right) \text { where } k^{2}=P / E I\).
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