Document Type

Thesis

Date of Award

5-31-1984

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical Engineering

First Advisor

Herbert H. Spencer

Second Advisor

Richard A. Gaal

Third Advisor

Calman Pecker

Abstract

This thesis is concerned with the Southwell Plot method for measuring the critical load of thin-walled structural members whose postbuckling behavior is stable-symmetric.

In this method measurements are taken of the structure's central lateral deflection versus membrane compressive load P. Southwell's hypothesis is that (on a graph of δ/P vs. δ the reciprocal of the slope gives the critical load. He suggests that this is valid because the effect of the fundamental imperfection predominates as the load approaches the critical load+

The writer has examined Southwell's hypothesis in the presence of non-negligible (in fact dominant) higher mode imperfections. The writer has proposed different techniques to measure the critical load in those cases.

Extensive computer studies were made to predict the Effectiveness of the proposed techniques. Experimental tests have been conducted on columns purposely manufactured with known imperfections to check these proposed techniques. The experimental results have been analyzed using computerized statistical techniques. A beginning has been made with extending the numerical studies by nonlinear analysis.

The experimental results have indicated a trend that the Second RS Plot gave 5.8% better results than the Southwell plot and the other proposed plots.

Share

COinS
 
 

To view the content in your browser, please download Adobe Reader or, alternately,
you may Download the file to your hard drive.

NOTE: The latest versions of Adobe Reader do not support viewing PDF files within Firefox on Mac OS and if you are using a modern (Intel) Mac, there is no official plugin for viewing PDF files within the browser window.