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为提高外露段较长的桩在横向和竖向荷载共同作用下变形和内力的计算精度和效率,基于综合刚度原理和双参数法推导可考虑桩的纵横弯曲,即计及竖向荷载(包括桩顶竖向力及桩身自重和桩侧摩阻力)对弯曲变形影响的有限差分解,采用MATLAB程序语言编制相应的计算程序。与模型试验数据或现有方法工程实例计算结果的比较验证了该法的可靠性,同时还表明该方法比基于相同原理的杆系有限元法更方便快捷。研究结果表明:对于外露长度和桩顶竖向荷载较大的桩,重力二阶效应是不容忽视的,且竖向荷载不仅会增大桩身弯矩,还会导致桩身剪力的增大,现有方法未体现其对剪力的影响,是偏于不安全的,在纵横弯曲桩的设计计算中应引起重视。
In order to improve the calculation accuracy and efficiency of deformation and internal force under long and short lateral exposed pile under lateral and vertical loads, vertical and horizontal bending of pile can be considered based on the principle of comprehensive stiffness and double parameter method, Pile vertical force and pile self-weight and pile side friction) on the bending deformation of the finite difference solution, the use of MATLAB programming language corresponding programming. Compared with the model test data or the calculation results of the existing method engineering example, the reliability of the method is verified, and the method is more convenient and faster than the rod-based finite element method based on the same principle. The results show that the second-order gravity effect can not be neglected for pile with exposed length and vertical load, and the vertical load not only increases the bending moment but also increases the shear force , The existing method does not reflect its impact on shear, is biased to unsafe, in the calculation of vertical and horizontal bending pile design should pay attention.