Buckling of columns of variable flexural rigidity

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

The stability of columns with continuous flexural rigidity monotonically changing along the length of the beam is considered. A new analytical solution for the buckling load is developed in terms of Airy functions for pin-ended columns. Buckling loads for different modes and upper bounds are given when the flexural rigidity at any cross section multiplied by a linear function of position stays constant along the beam. The buckling load for any mode is less than the critical load corresponding to a column of the same length and of constant flexural rigidity whose value is the minimum along the beam of variable flexural rigidity studied. The solution has applications to tapered pin-ended columns with variable modulus of elasticity.
Original languageEnglish
Pages (from-to)640-643
Number of pages4
JournalJournal of Engineering Mechanics - ASCE
Volume118
Issue number3
DOIs
Publication statusPublished - 1992

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Rigidity
Buckling
Elastic moduli

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title = "Buckling of columns of variable flexural rigidity",
abstract = "The stability of columns with continuous flexural rigidity monotonically changing along the length of the beam is considered. A new analytical solution for the buckling load is developed in terms of Airy functions for pin-ended columns. Buckling loads for different modes and upper bounds are given when the flexural rigidity at any cross section multiplied by a linear function of position stays constant along the beam. The buckling load for any mode is less than the critical load corresponding to a column of the same length and of constant flexural rigidity whose value is the minimum along the beam of variable flexural rigidity studied. The solution has applications to tapered pin-ended columns with variable modulus of elasticity.",
author = "A. Siginer",
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Buckling of columns of variable flexural rigidity. / Siginer, A.

In: Journal of Engineering Mechanics - ASCE, Vol. 118, No. 3, 1992, p. 640-643.

Research output: Contribution to journalArticle

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PY - 1992

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N2 - The stability of columns with continuous flexural rigidity monotonically changing along the length of the beam is considered. A new analytical solution for the buckling load is developed in terms of Airy functions for pin-ended columns. Buckling loads for different modes and upper bounds are given when the flexural rigidity at any cross section multiplied by a linear function of position stays constant along the beam. The buckling load for any mode is less than the critical load corresponding to a column of the same length and of constant flexural rigidity whose value is the minimum along the beam of variable flexural rigidity studied. The solution has applications to tapered pin-ended columns with variable modulus of elasticity.

AB - The stability of columns with continuous flexural rigidity monotonically changing along the length of the beam is considered. A new analytical solution for the buckling load is developed in terms of Airy functions for pin-ended columns. Buckling loads for different modes and upper bounds are given when the flexural rigidity at any cross section multiplied by a linear function of position stays constant along the beam. The buckling load for any mode is less than the critical load corresponding to a column of the same length and of constant flexural rigidity whose value is the minimum along the beam of variable flexural rigidity studied. The solution has applications to tapered pin-ended columns with variable modulus of elasticity.

U2 - 10.1061/(ASCE)0733-9399(1992)118:3(640)

DO - 10.1061/(ASCE)0733-9399(1992)118:3(640)

M3 - Article

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SP - 640

EP - 643

JO - Journal of Engineering Mechanics - ASCE

JF - Journal of Engineering Mechanics - ASCE

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