【作者】 蒋上；

【导师】 舒兴平；

【作者基本信息】 湖南大学 ， 结构工程， 2011， 硕士

【摘要】 蜂窝梁作为一种新型钢构件,由于其截面形式合理、自重轻、承载能力高、美观经济等优点,因而常被应用于大跨结构中。但是我国并没有制定相关的规范或标准来指导应用设计,这严重制约了蜂窝梁在我国的广泛应用。目前,蜂窝梁的挠度并没有简单而统一的计算公式,所以进一步的研究非常有必要。本文对正八边形孔蜂窝梁的挠度计算研究做了如下工作:(1)本文参考国内外相关资料,总结了圆孔(椭圆孔)、六边形孔、八边形孔以及对应的楔形蜂窝梁的制作方法。(2)本文依据经典材料力学的理论,阐述了费氏空腹桁架法的理论推导,并讨论了其表达式中参数的取值。提出了等效刚度法并推导出其计算表达式,采用有限元进行大量计算分析并拟合出等效抗弯刚度和等效抗剪刚度的表达式,且验证了它们的准确性。(3)本文参考国内外相关资料并结合本文推导的计算式,总结了蜂窝梁挠度不同的计算方法,并讨论了常用的ANSYS法、费氏空腹桁架法和等效刚度法的区别和联系。(4)本文基于ANSYS分析,对不同参数蜂窝梁在不同的荷载作用下的挠度的理论计算公式进行了精度评价,发现简化理论计算公式精确度很高且略大于真实值,所以将该公式应用于工程中是偏安全的。(5)本文讨论了蜂窝梁的八种影响因素对蜂窝梁挠度的影响,并计算和修正了蜂窝梁挠度增大系数η在不同扩大比、高跨比和荷载类型条件下的值。本文讨论了常用的几种标准孔型蜂窝梁在不同荷载和参数下挠度的变化,为工程实践中选用不同类型蜂窝梁提供参考建议。最后,本文提出了一套适用于工程的蜂窝梁挠度的简化计算公式。更多还原

【Abstract】 As a new steel menber, castelled beam is often used in long-span structures because it has many advantages, such as the rational section form, light-weight, high load-carrying capacity, and so on. But at present, there is no technical standard or specification on it to guide applications and design in our country. This severely restricts the castelled beam’s widely use in China. At present, there is no conveniend or uniform calculation method to the deflection of castelled beam. Therefore, it is necessary to do more researches on the existent problems. The main research work on the deflection of octagonal hole castelled beam covers the following aspects:(1) According to the domestic and overseas references, this article summarizes the method of making circular hole(elliptical hole), hexagonal hole, octagonal hole and the corresponding tapered castellated beam.(2) Based on the classical theory of mechanics of materials, this article describes the theoretical derivation of the Altfillisch, which is assumed the castellated beam as a vierendeed truss, and discusses the values of the parameters of its expression. Equivalent stiffness method is proposed and its calculation expression is derived in this article. Using amounts of the finite element analysis fits out the equivalent bending stiffness and the equivalent shear stiffness’s expressions, and verifies their accuracy.(3) According to the domestic and overseas references and the expressions which are derived in this article, this article summarized the different methods of caculating the deflection of castellted beam, and discusses the difference and connection of the common methods-the FEA, the Altfillisch and the equivalent stiffness method.(4) Based on the FEA, this article evaluates the precision of the oretical formula of the deflection of castellted beam on the different parameters and under different load. And found that the accuracy of simplified theoretical formula is very high and the caculation value is slightly larger than the true value, so the formula used in the project is biased safe.(5) This article discusses the impact of eight factors on the deflection of castellted beam. And also calculate and correct the value of the magnification factorηat different expansion ratio, different high-span ratio and under different load. This article discusses the changes of the deflection of several the commonly used standard castellted beam which is under different load and parameters. And this can provide reference and proposal for selecting different types of castellted beam in engineering practice. Finally, this article presents a simplified formula which can be used in engineering practice for the deflection of castellted beam.更多还原