Document Type
Thesis
Date of Award
9-30-1983
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Robert R. Meola
Second Advisor
Harry Herman
Third Advisor
Benedict C. Sun
Abstract
The purpose of this thesis is to study the stability of columns with axially varying cross-sections using approximate Methods. Much of the work has been done on the stability of the columns by using various techniques. This study, in part, verifies some of the above theories by Numerical Computations. Solutions for the optimal dimensions of columns to withstand a particular load without buckling are shown for a variety of columns,viz.,column bounded by linear taper, paraboloid of revolution and in general a column bounded by a curve of n'th degree.
The problem of columns of varying cross-sections can be solved by using the Principle of Conservation of Energy. Accurate results can be obtained by use of the Principle of Minimum Potential Energy or by using Numerical Methods. The values of the critical buckling loads for various configurations of the columns are calculated using a numerical procedure suggested by N.M. Newmark. The solution procedure is shown in this thesis for optimizing the dimensions of the column with single constraint so that minimum weight design can be obtained.
Recommended Citation
Suresh, Vallanore K., "On the stability of columns of varying cross-sections" (1983). Theses. 3647.
https://digitalcommons.njit.edu/theses/3647
