钢梁弹性挠度算法研究及工程应用

发布时间：2018-09-14 14:15

【摘要】：钢梁的弹性挠度是钢结构设计中经常要考虑并验算的问题,对此《钢结构设计规范》(GB 50017—2003)第3.5节和附录A明确提出了受弯构件的挠度容许值。为了计算钢梁的挠度值,通常的方法是采用结构力学图乘法进行推导,但这种推导需要针对具体的荷载形式和边界条件。由于实际结构中钢梁支座既可能是刚接也可能是铰接,甚至可能是滑动支座,另一方面楼板传递来的荷载形式也较为多样,一般包括均布荷载、三角型荷载以及梯形荷载,针对所有情况全部采用结构力学方法进行推导是一项非常繁杂的工作,不进行简化处理则难以满足各种实际情况的需要。本文研究了一种基于局部二次有限元分析的钢梁挠度计算方法,可直接接力整体有限元分析,对梁上的荷载形式及支座条件均可一致处理,有效避免复杂的推导与计算,计算结果在有限元舍入误差范围内是精确的,不存在人为引入的简化假定。另外该方法计算效率较高,可给出钢梁任意点的挠度值,是一种值得推广的挠度算法。目前,该方法已集成到北京市建筑设计研究院有限公司自主研发的结构设计软件Paco中,取得了良好的应用效果。
[Abstract]:The elastic deflection of steel beams is often considered and checked in the design of steel structures. The allowable deflection of flexural members is clearly proposed for Section 3.5 and Appendix A of the Code for Design of Steel structures (GB 50017-2003). In order to calculate the deflection value of steel beam, the usual method is to use the structural mechanics graph multiplication to derive, but this kind of derivation needs to be based on the concrete load form and boundary condition. In actual structures, steel beam supports may be rigid, hinged, or even sliding supports. On the other hand, the load forms transmitted by floor slab are more diverse, including uniform load, triangular load and trapezoidal load. It is a complicated task to deduce all cases by using structural mechanics method, and it is difficult to meet the needs of various practical situations without simplified treatment. In this paper, a method for calculating deflection of steel beam based on local quadratic finite element analysis is studied. The method can be used for direct finite element analysis of the whole steel beam. The load form and support condition on the beam can be treated uniformly, and the complicated derivation and calculation can be avoided effectively. The calculation results are accurate in the range of finite element rounding error, and there is no artificial simplified assumption. In addition, this method is more efficient and can give the deflection value of any point of steel beam. It is a deflection algorithm worth popularizing. At present, the method has been integrated into the structure design software Paco developed by Beijing Architectural Design and Research Institute Co., Ltd.
【作者单位】：北京市建筑设计研究院有限公司;
【分类号】：TU391

【相似文献】