Thermal Buckling and Post-Buckling of Columns of Variable Cross-Section

The IUP Journal of Structural Engineering, Vol. VIII, No. 4, October 2015, pp. 47-67

Posted: 9 Jul 2017

See all articles by G. Venkateswara Rao

G. Venkateswara Rao

Vardhaman College of Engineering

N. Venkateshwarlu

Vignan’s Institute of Technology & Aeronautical Engineering

Suresh Akella

Sreyas Institute of Engineering and Technology

T Kishen Kumar Reddy

JNTUH

Date Written: December 22, 2015

Abstract

The paper investigates thermal buckling and post-buckling of columns of variable cross-section along the length. Two types of variable cross-section columns, namely, sinusoidally and linearly varying cross-sections, are considered. The geometry of the cross-section is taken as symmetric about the midpoint of the length of the columns. The thermal buckling and post-buckling loads, which are the mechanical equivalent of the uniform compressive load developed when the column is subjected to high temperature, are evaluated by applying the classical Rayleigh-Ritz (RR) method. The variable cross-section of the columns is quantified through an easy-to-recognize taper ratio. The numerical results in the form of the thermal buckling loads and the thermal post-buckling loads are obtained for different taper ratios and the reference central deflection parameters. The numerical results are found to be reliable when compared with similar results of the limiting cases and from the logical physical trends in the absence of the corresponding results for the definition of the taper ratios used in this study.

Keywords: Thermal buckling, Thermal post-buckling, Tapered columns, Sinusoidally and linearly varying tapers, Rayleigh-Ritz (RR) method

Suggested Citation

Rao, G. Venkateswara and Venkateshwarlu, N. and Akella, Suresh and Reddy, T Kishen Kumar, Thermal Buckling and Post-Buckling of Columns of Variable Cross-Section (December 22, 2015). The IUP Journal of Structural Engineering, Vol. VIII, No. 4, October 2015, pp. 47-67, Available at SSRN: https://ssrn.com/abstract=2707125

G. Venkateswara Rao (Contact Author)

Vardhaman College of Engineering ( email )

Kacharam, Shamshabad
Hyderabad, Andhra Pradesh 501218
India

N. Venkateshwarlu

Vignan’s Institute of Technology & Aeronautical Engineering ( email )

Deshmukhi-508284
Nalgonda, Telangana
India

Suresh Akella

Sreyas Institute of Engineering and Technology ( email )

Hyderabad-500065
Telangana
India

T Kishen Kumar Reddy

JNTUH ( email )

Hyderabad, Andhra Pradesh 500085
India

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