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Nonlinear Correction to the Euler Buckling Formula for Compressed Cylinders with Guided-Guided End Conditions

Abstract:

Euler's celebrated buckling formula gives the critical load $N$ for the buckling of a slender cylindrical column with radius $B$ and length $L$ as \[ N / (\pi^3 B^2) = (E/4)(B/L)^2, \] where $E$ is Young's modulus. Its derivation relies on the assumptions that linear elasticity applies to this problem, and that the slenderness $(B/L)$ is an infinitesimal quantity. Here we ask the following question: What is the first nonlinear correction in the right hand-side of this equation when terms up t...

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Publication status:
Published

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Publisher copy:
10.1007/s10659-010-9265-6

Authors


Pascalis, RD More by this author
Destrade, M More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
Journal of Elasticity, 102 (2011) 191-200
Volume:
102
Issue:
2
Pages:
191-200
Publication date:
2013-02-05
DOI:
EISSN:
1573-2681
ISSN:
0374-3535
URN:
uuid:100081b8-3b0a-4d60-80f0-0e07fc45a1b7
Source identifiers:
188465
Local pid:
pubs:188465
Language:
English
Keywords:

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