Abstract

The composite box girder does not satisfy the assumption of flat section in the actual force behavior. The transverse force generated by the bending is transmitted to the shear key through the web, and then transmitted to the wing plate by the shear key. The shear deformation of the channel steel box girder web makes the shear stress of the composite box girder section unevenly distributed on the wing plate. The selection of displacement function caused by shear deformation is often unclear in physical meaning, and analysis and verification that conform to the actual deformation and stress distribution law of the structure are rarely carried out. Aiming at this problem, a microplate shear flow analysis method is proposed. Considering the influence of shear deformation, the shear lag warping displacement function of the composite beam is derived, and the displacement function is corrected according to the self-balance condition of the warping normal stress, which makes up for the defect of the unclear physical meaning of the displacement function. On the problem of solving the control differential equations. For the first time, it is proposed to use Hamiltonian theory to solve the problem, which avoids the problem of solving high-order differential equations in the classical elasticity solving method and the functional variational method based on the energy principle. The stress distribution of the composite box girder under the action of concentrated load and uniform load is analyzed.

摘要

组合箱梁在实际受力行为中不满足平面断面假设。弯曲产生的横向力通过腹板传递给抗剪键，再由抗剪键传递给翼板。槽钢箱梁腹板的剪切变形使得组合箱梁截面的剪应力在翼板上分布不均。剪切变形引起的位移函数的选取往往物理意义不明确，很少进行符合结构实际变形和应力分布规律的分析验证。针对这一问题，提出了微孔板剪切流分析方法。考虑剪切变形的影响，推导出组合梁的剪力滞翘曲位移函数，并根据翘曲法向应力的自平衡条件对位移函数进行修正，弥补了位移函数物理意义不明确的缺陷。关于求解控制微分方程的问题。首次提出用哈密顿理论求解该问题，避免了经典弹性求解法和基于能量原理的泛函变分法求解高阶微分方程的问题。分析了集中荷载和均布荷载作用下组合箱梁的应力分布。关于求解控制微分方程的问题。首次提出用哈密顿理论求解该问题，避免了经典弹性求解法和基于能量原理的泛函变分法求解高阶微分方程的问题。分析了集中荷载和均布荷载作用下组合箱梁的应力分布。关于求解控制微分方程的问题。首次提出用哈密顿理论求解该问题，避免了经典弹性求解法和基于能量原理的泛函变分法求解高阶微分方程的问题。分析了集中荷载和均布荷载作用下组合箱梁的应力分布。