The critical loads of thin columns depend on the end conditions of the column. The value of the Euler load P₁ in Example 4 was derived under the assumption that the column was hinged at both ends. Suppose that a thin vertical homogeneous column is embedded at its base (x = 0) and free at its top (x = L) and that a constant axial load P is applied to its free end. This load either causes a small deflection 8 as shown in FIGURE 3.9.9 or does not cause such a deflection. In either case the differential equation for the deflection y(x) is

The critical loads of thin columns depend on the end conditions of the column. The value of the Euler load P₁ in Example 4 was derived under the assumption that the column was hinged at both ends. Suppose that a thin vertical homogeneous column is embedded at its base (x = 0) and free at its top (x = L) and that a constant axial load P is applied to its free end. This load either causes a small deflection 8 as shown in FIGURE 3.9.9 or does not cause such a deflection. In either case the differential equation for the deflection y(x) is

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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