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Torsional post-buckling of thin-walled open section clamped beam supported on Winkler-Pasternak foundation

Rao, Chellapilla Kameswara / Rao, Lokavarapu Bhaskara

AbstractThe study presents the post-buckling behaviour of thin-walled beam of open section supported by Winkler-Pasternak foundation and it is subjected to an axial compressive load. Here, the assumptions are the strains to be small and elastic, in-plan cross-sectional deformations and the shear deformations to be negligible. The post-buckling paths are determined for clamped beam of I - cross-section which is constant. The point of bifurcation for clamped beam is calculated. It is found to be symmetric and stable for various values of Winkler-Pasternak foundation parameters and Warping parameter.

Highlights•The aim of present paper is to study in detail, the effect of continuous Winkler-Pasternak elastic foundation on the torsional post-buckling behaviour of clamped uniform thin-walled beam of open cross-section.•The Galerkin’s technique is used to obtain the approximate solutions.•The post-buckling paths are determined for clamped beam of I - cross-section which is constant.•The effect of elastic foundation on torsional post-buckling behaviour of clamped thin-walled beam of open section is studied in detail.•The effect of increase in values of Warping parameter, $K$ , Pasternak stiffness parameter $ξ$ , and/or Winkler stiffness parameter $λ$ is to decrease the nonlinear buckling load, $P^{*}$ considerably.

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Torsional post-buckling of thin-walled open section clamped beam supported on Winkler-Pasternak foundation

Rao, Chellapilla Kameswara / Rao, Lokavarapu Bhaskara

AbstractThe study presents the post-buckling behaviour of thin-walled beam of open section supported by Winkler-Pasternak foundation and it is subjected to an axial compressive load. Here, the assumptions are the strains to be small and elastic, in-plan cross-sectional deformations and the shear deformations to be negligible. The post-buckling paths are determined for clamped beam of I - cross-section which is constant. The point of bifurcation for clamped beam is calculated. It is found to be symmetric and stable for various values of Winkler-Pasternak foundation parameters and Warping parameter.

Highlights•The aim of present paper is to study in detail, the effect of continuous Winkler-Pasternak elastic foundation on the torsional post-buckling behaviour of clamped uniform thin-walled beam of open cross-section.•The Galerkin’s technique is used to obtain the approximate solutions.•The post-buckling paths are determined for clamped beam of I - cross-section which is constant.•The effect of elastic foundation on torsional post-buckling behaviour of clamped thin-walled beam of open section is studied in detail.•The effect of increase in values of Warping parameter, $K$ , Pasternak stiffness parameter $ξ$ , and/or Winkler stiffness parameter $λ$ is to decrease the nonlinear buckling load, $P^{*}$ considerably.

Torsional post-buckling of thin-walled open section clamped beam supported on Winkler-Pasternak foundation

Rao, Chellapilla Kameswara / Rao, Lokavarapu Bhaskara

AbstractThe study presents the post-buckling behaviour of thin-walled beam of open section supported by Winkler-Pasternak foundation and it is subjected to an axial compressive load. Here, the assumptions are the strains to be small and elastic, in-plan cross-sectional deformations and the shear deformations to be negligible. The post-buckling paths are determined for clamped beam of I - cross-section which is constant. The point of bifurcation for clamped beam is calculated. It is found to be symmetric and stable for various values of Winkler-Pasternak foundation parameters and Warping parameter.

Highlights•The aim of present paper is to study in detail, the effect of continuous Winkler-Pasternak elastic foundation on the torsional post-buckling behaviour of clamped uniform thin-walled beam of open cross-section.•The Galerkin’s technique is used to obtain the approximate solutions.•The post-buckling paths are determined for clamped beam of I - cross-section which is constant.•The effect of elastic foundation on torsional post-buckling behaviour of clamped thin-walled beam of open section is studied in detail.•The effect of increase in values of Warping parameter, $K$ , Pasternak stiffness parameter $ξ$ , and/or Winkler stiffness parameter $λ$ is to decrease the nonlinear buckling load, $P^{*}$ considerably.

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Title:

Torsional post-buckling of thin-walled open section clamped beam supported on Winkler-Pasternak foundation

Contributors:

Rao, Chellapilla Kameswara (author) / Rao, Lokavarapu Bhaskara (author)

Published in:

Thin-Walled Structures ; 116 ; 320-325

Publication date:

2017-03-13

Size:

6 pages

ISSN:

DOI:

https://doi.org/10.1016/j.tws.2017.03.017

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

Beam , Open section , Post-buckling , Warping , Winkler-Pasternak foundation

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