Mathematical Modelling of the Beam under Axial Compression Force Applied at any Point - the Buckling Problem

Ewa Magnucka-Blandzi

doi:10.1063/1.4952284

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Title

Mathematical Modelling of the Beam under Axial Compression Force Applied at any Point - the Buckling Problem

Authors

Ewa Magnucka-Blandzi (WE) ^{[ 1 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Year of publication

2016

Chapter type

paper

Publication language

english

Keywords

EN

beams
compression
critical load
differential equation
explicit solution

Abstract

EN The study is devoted to stability of simply supported beam under axial compression. The beam is subjected to an axial load located at any point along the axis of the beam. The buckling problem has been desribed and solved mathematically. Critical loads have been calculated. In the particular case, the Euler’s buckling load is obtained. Explicit solutions are given. The values of critical loads are collected in tables and shown in figure. The relation between the point of the load application and the critical load is presented.

Pages (from - to)

480048-1 - 480048-4

DOI

10.1063/1.4952284

URL

https://aip.scitation.org/doi/abs/10.1063/1.4952284

Comments

Article Number: 480048

Book

International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015)

Presented on

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM 2015), 23-29.09.2015, Rhodes, Greece