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Exact lateral-torsional buckling solutions for cantilevered beams subjected to intermediate and end transverse point loads

机译:悬臂梁在横向和横向横向荷载作用下的精确扭扭屈曲解决方案

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摘要

This paper presents exact stability criteria for the lateral-torsional buckling of cantilever strip beams under intermediate and end point loads. The two-dimensional stability domain is given in closed-form solutions, in terms of Bessel functions. The limit of the convex stability domain tends towards Dunkerley's line when the intermediate load approaches the tip of the cantilever. However, the Dunkerley's line is no longer appropriate when the distance between both loads is sufficiently large. An approximate set of formulas is proposed for quick estimation of the buckling load.
机译:本文提出了在中间和端点荷载下悬臂带状梁的横向扭转屈曲的精确稳定性判据。二维稳定性域以贝塞尔函数形式在封闭形式的解决方案中给出。当中间载荷接近悬臂尖端时,凸稳定域的极限趋向于Dunkerley线。但是,当两个载荷之间的距离足够大时,Dunkerley的线将不再适用。为快速估计屈曲载荷,提出了一组近似公式。

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