As was mentioned in 22, the differential equation (5) that governs the deflection y(x)

Chapter 5, Problem 23

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As was mentioned in 22, the differential equation (5) that governs the deflection y(x) of a thin elastic column subject to a constant compressive axial force P is valid only when the ends of the column are hinged. In general, the differential equation governing the deflectio of the column is given by . Assume that the column is uniform (EI is a constant) and that the ends of the column are hinged. Show that the solution of this fourth-order differential equation subject to the boundary conditions y(0) 0, y (0) 0, y(L) 0, y (L) 0 is equivalent to the analysis in Example 4. 24.

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