摘要
曲梁与拱常作为承力构件应用于土木工程中,但其力学性能因约束方式的不同存在着显著的差异。论文研究对象为弹簧钢制(60Si2Mn)的矩形断面曲杆,圆心角为120°的实验试件,采用卡氏第二定理及超静定平衡方程得到理论解,进而得到简支曲梁、二铰拱和无铰拱具体截面的理论值。利用MATLAB得到理论上正应力沿轴线方向的变化,为曲梁与拱在实际中的应用提供了参考依据。
Curved beams and arches are often used in civil engineering as load-bearing members,but their mechanical properties are significantly different due to the different restraint methods.The research object of this paper is the spring steel(60 Si2 Mn)rectangular section curved bar,the center angle of which is 120°.The theoretical solution is obtained by using the second Castigliano’s second theorem and the statically indeterminate equilibrium equation,and then the theoretical values of the specific sections of simply supported curved beam,two hinged arch and non hinged arch are obtained.The change of normal stress along the axis direction in theory is obtained by MATLAB,which provides a reference for the application of curved beam and arch in practice.
作者
陈琦
李振东
CHEN Qi;LI Zhen-dong(Lanzhou University of Technology,Lanzhou 730050,China;Jiangsu University,Zhenjiang 212013,China)
出处
《工程建设与设计》
2020年第11期33-34,共2页
Construction & Design for Engineering
关键词
曲梁与拱
卡氏第二定理
超静定问题
curved beams and arch
Castigliano’s second theorem
hyperstatic problem
