Magazine of the Korean Society of Agricultural Engineers (한국농공학회지)

The Korean Society of Agricultural Engineers (한국농공학회)
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Gemetrical Non-Linear Behavior of Simply Supported Tapered Beams

단순지지 변단면 보의 기하학적 비선형 거동

  • Published : 1999.02.01
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Abstract

This paper explores the geometrical non-linear behavior of the simply supported tapered beams subject to the trapezoidal distributed load and end moments. In order to apply the Bernoulli -Euler beam theory to this tapered beam, the bending moment equation on any point of the elastical is obtained by the redistribution of trapezoidal distributed load. On the basis of the bending moment equation and the BErnoulli-Euler beam theory, the differential equations governging the elastical of such beams are derived and solved numerically by using the Runge-Jutta method and the trial and error method. The three kinds of tapered beams (i.e. width, depth and square tapers) are analyzed in this study. The numerical results of non-linear behavior obtained in this study from the simply supported tapered beams are appeared to be quite well according to the results from the reference . As the numerical results, the elastica, the stress resultants and the load-displacement curves are given in the figures.

Keywords

References

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