工字钢主梁双悬臂梁桥的稳定承载力研究
发布时间：2018-10-16 16:51
【摘要】：双悬臂梁桥结构简单,不会由于墩台不均匀沉陷而引起附加应力,是一种适宜在软基上修建的桥型。目前对于简支梁和悬臂梁的整体稳定性研究已基本成熟,然而双悬臂梁由于存在两端悬臂,其边界条件与受力特点比简支梁和悬臂梁复杂。而到目前为止,关于对双悬臂梁的弯扭屈曲的研究及成果却很少,而相关文献以及各国规范当中也没有提出简明可靠的受弯构件整体稳定承载力的计算表达式。本文则是研究钢主梁双悬臂梁桥的整体稳定性问题。基于瑞利-里兹能量法理论分析了简化成简支梁的双悬臂梁的整体稳定性能,推导得到了横向荷载作用下的双悬臂梁整体稳定临界弯矩的近似计算公式。并将简化计算公式的计算结果与有限元分析结果进行了比较,两者的计算结果吻合较好,但简化公式结果稍小,对于结构偏安全。同时利用有限元方法对受弯的工字钢梁的整体稳定临界弯矩进行参数分析,选取参数为不同荷载形式、扭转刚度系数、简支跨跨度、荷载作用点位置、截面高度、悬伸比。分别计算各参数对钢梁弯扭屈曲性能的影响。采用SPSS数据分析软件进行多元线性回归,提出了双悬臂梁在均布荷载和集中荷载作用下临界弯矩的设计建议公式,根据荷载形式、悬伸长度、和荷载作用点高度的不同,所提出设计建议公式的具体参数也有所不同。参照《钢结构设计规范》(GB50017—2003)中简支梁的整体稳定系数的计算表达式,结合回归分析得到的结果,提出双悬臂受弯钢梁的弹性屈曲临界弯矩的计算方法。
[Abstract]:Double cantilever beam bridge is a kind of bridge which is suitable for soft foundation because of its simple structure and no additional stress caused by uneven settlement of pier and abutment. At present, the research on the overall stability of simply supported beam and cantilever beam has been basically mature. However, the boundary conditions and stress characteristics of double cantilever beam are more complicated than that of simple supported beam and cantilever beam because of the existence of cantilever at both ends. Up to now, there are few researches and results on the bending and torsional buckling of double-cantilever beams, and there is no concise and reliable formula for calculating the overall buckling capacity of bending members in the relevant literature and national codes. In this paper, the whole stability of steel main girder double cantilever bridge is studied. Based on the Rayleigh Ritz energy method, the global stability of a double cantilever beam simplified as a simply supported beam is analyzed, and the approximate formula for calculating the critical moment of global stability of a double cantilever beam under transverse load is derived. The results of the simplified formula are compared with the results of finite element analysis. The calculated results agree well with the results of the finite element analysis, but the results of the simplified formulas are slightly smaller, which is relatively safe for the structure. At the same time, the finite element method is used to analyze the critical bending moment of I-beam. The parameters are chosen as different load forms, torsional stiffness coefficient, span of simply supported span, position of load point, cross-section height and ratio of suspension and extension. The effects of various parameters on the flexural and torsional buckling behavior of steel beams were calculated. By using SPSS data analysis software to carry out multivariate linear regression, a formula for the design of critical bending moment of double cantilever beam under uniform load and concentrated load is proposed. According to the load form, the length of suspension, and the height of load acting point, the formula is proposed for the design of critical bending moment of double cantilever beam under uniform load and concentrated load. The specific parameters of the proposed formula are also different. According to the expression of the overall stability coefficient of simply supported beam in GB50017-2003 and the result of regression analysis, a method for calculating the critical moment of elastic buckling of steel beam with double cantilever bending is proposed.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U441
本文编号：2275023
[Abstract]:Double cantilever beam bridge is a kind of bridge which is suitable for soft foundation because of its simple structure and no additional stress caused by uneven settlement of pier and abutment. At present, the research on the overall stability of simply supported beam and cantilever beam has been basically mature. However, the boundary conditions and stress characteristics of double cantilever beam are more complicated than that of simple supported beam and cantilever beam because of the existence of cantilever at both ends. Up to now, there are few researches and results on the bending and torsional buckling of double-cantilever beams, and there is no concise and reliable formula for calculating the overall buckling capacity of bending members in the relevant literature and national codes. In this paper, the whole stability of steel main girder double cantilever bridge is studied. Based on the Rayleigh Ritz energy method, the global stability of a double cantilever beam simplified as a simply supported beam is analyzed, and the approximate formula for calculating the critical moment of global stability of a double cantilever beam under transverse load is derived. The results of the simplified formula are compared with the results of finite element analysis. The calculated results agree well with the results of the finite element analysis, but the results of the simplified formulas are slightly smaller, which is relatively safe for the structure. At the same time, the finite element method is used to analyze the critical bending moment of I-beam. The parameters are chosen as different load forms, torsional stiffness coefficient, span of simply supported span, position of load point, cross-section height and ratio of suspension and extension. The effects of various parameters on the flexural and torsional buckling behavior of steel beams were calculated. By using SPSS data analysis software to carry out multivariate linear regression, a formula for the design of critical bending moment of double cantilever beam under uniform load and concentrated load is proposed. According to the load form, the length of suspension, and the height of load acting point, the formula is proposed for the design of critical bending moment of double cantilever beam under uniform load and concentrated load. The specific parameters of the proposed formula are also different. According to the expression of the overall stability coefficient of simply supported beam in GB50017-2003 and the result of regression analysis, a method for calculating the critical moment of elastic buckling of steel beam with double cantilever bending is proposed.
【学位授予单位】：长沙理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U441
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