Document Type

Thesis

Date of Award

5-31-1985

Degree Name

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

Department

Mechanical Engineering

First Advisor

Harry Herman

Second Advisor

Michael Pappas

Third Advisor

Bernard Koplik

Abstract

Columns with two types of transverse grooves are analyzed: a one-sided groove whose bottom is parallel to a vertical plane and cross-section is constant, and a concentric uniform groove. Then, for illustration and to be more specific, round columns are selected such that the cross-section becomes partially circular, for one-sided grooves and totally circular for a concentric groove. The columns are simply supported at both ends and subjected to a compressive eccentric load P at eccentricity e. The static equilibrium of such columns is studied via two types of solutions: the solution to three-segment column and a substantially simpler but approximate solution for a modi-fied model that takes into consideration the narrowness of the groove. In the modified model, the groove is replaced by an elastic spring-hinge which leads to simpler solutions not significantly different from the exact results.

Equations are obtained for determining the maximum allowable load, and corresponding graphs are presented, based on buckling or on a stress-limiting criterion. The results generated by both types of solutions agree within 5%.

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