现浇X形桩是为了提高单位混凝土承载力性能而开发的一种新型异形横截面桩,但目前针对异形横截面桩在水平荷载作用下桩周土体力学性状的理论研究相对较少。基于保角变换的方法将X形桩孔映射到单位圆上,采用平面弹性力学的复变函数方法得到X形桩在水平荷载作用下桩周土体应力场与位移场分布的平面应变解。续而,基于文克尔地基模型,把桩周土离散为一系列独立的弹簧模型,弹簧的刚度系数采用平面应变解,然后根据欧拉-伯努利梁的挠曲线微分方程推导得到现浇X形桩在水平荷载作用下桩身的变形和内力的计算方法。通过建立的平面应变解计算普通圆形截面桩,并且与Baguelin推导的圆形截面桩在水平荷载作用下平面应变解进行对比分析,验证所建立理论方法的准确性和可靠性。最后,针对一算例进行分析,并与数值模型计算结果进行对比验证。研究结果表明,该理论方法能够较好地模拟水平荷载作用下现浇X形桩桩周土体的力学工作性状,尤其是小荷载作用条件下。 Cast-in-place X-shaped piles are a new type of special-shaped cross-section piles developed to improve the bearing capacity of concrete. However, there are relatively few theoretical studies on the mechanical properties of soil around piles with irregular cross-section under horizontal loads. According to the method of conformal mapping, the X-shaped pile holes are mapped onto the unit circle. The plane strain solution of stress field and displacement field of X-piles under horizontal load is obtained by the complex function method of plane elasticity. Continuously, based on the Wenker foundation model, the soil around the pile is dispersed into a series of independent spring models, the spring stiffness coefficient adopts the plane strain solution, and then deduced according to the differential equation of the Euler-Bernoulli beam. Calculation Method of Pile Deformation and Internal Force of X - shaped Piles under Horizontal Load. The ordinary circular cross-section piles were calculated by the established plane strain solution, and the plane strain solution of circular cross-section piles under horizontal load was contrasted and analyzed. The accuracy and reliability of the theoretical method were verified. Finally, an example is analyzed and compared with the numerical model to verify the results. The results show that the proposed method can simulate well the mechanical behavior of soil around X-shaped cast-in-situ pile under horizontal load, especially under the condition of small load.