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Imperfections in Columns

Consider a curved column with an initial shape w0(x) that is under an axial load F,

        

Enforcing the moment equilibrium of the free-body yields the equation,

The governing equation for the transverse displacement w can then be expressed as,

The above equation contains a non-homogeneous term -Fw0/EI. To simplify the problem, we assume that the initial curve is a simple half sine wave with an amplitude a,

The general solution is found to be,

where is the critical load of a straight column.

Negotiate Your Salary

Learn the best principles to negotiate the salary you deserve!

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

CNC Machining Design Guide

Optimize your designs, reduce machining time, and lower your costs.