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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.

STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

3D Scanners

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

Essentials of Manufacturing

Information, coverage of important developments and expert commentary in manufacturing.

Injection Molding Design Guide

Guide for high quality and cost-effective plastic injection molding.