高大空间自承重砌体墙稳定性计算方法

CALCULATION METHOD FOR STABILITY OF SELF-BEARING MASONRY WALL IN HIGH AND WIDE SPACE

以弹性力学薄板屈曲理论为基础,采用能量法并选取满足边界条件的挠曲试函数,借助Python软件自编计算程序,推导了对边简支对边自由板、三边简支一边自由板及四边简支板在轴向均布荷载作用下的屈曲临界承载力计算公式,采用有限元模型分析对结果进行验证,并给出屈曲特征系数ξ与高宽比r的简化关系式。基于面外抗弯刚度和面内轴向刚度相等原则,将带构造柱和圈梁的砌体墙由非均匀各向异性材料等效成各向同性材料,并验证等效模型用于墙体屈曲分析的可靠性。提出可用于不同平面布置形式自承重砌体墙的稳定性设计验算方法,并给出其在两个实际工程中的应用。该文方法操作简便,可考虑砌体墙不同边界条件、构造柱和圈梁布置、自承重墙三角形轴力分布特点等影响,相关结论可供类似工程设计参考。

Based on the elastic buckling theory,the energy method is adopted and the deflection test functions satisfying the boundary conditions are selected,the formulas for calculating the buckling critical bearing capacity of thin plates under uniformly distributed axial loads are derived with the aid of computational programs developed in Python,and three different boundary cases are considered:opposite sides simply supported and other sides free,three sides simply supported one side free and,four sides simply supported.The results are verified by finite element analysis,and the simplified calculation formulas betweenξof buckling characteristic coefficient and aspect ratio r of plate are developed.Based on the principle that the out-of-plane flexural stiffness and in-plane axial stiffness of masonry walls are equal,the non-uniform anisotropic material of masonry wall with constructional columns and ring beams is equivalent to isotropic material,and the reliability of equivalent model for wall buckling analysis is verified.The stability design method of self-bearing masonry wall with different arrangement is proposed,and its application in two practical projects is discussed.The method presented is easy to operate and to consider the influence of different boundary conditions of masonry walls,the effect of constructional columns and ring beams,and the distribution characteristic of triangular axial forces of self-bearing walls.The conclusions can be used as a reference for similar engineering design.