Some Aspects on the Statics of Masonry Arches
Some Aspects on the Statics of Masonry Arches
复制标题
关于砌体拱门静力学的一些方面
DOI：
10.1007/978-3-319-13003-3_10
复制
发表时间：
2015
期刊：
影响因子：
3.4
通讯作者：
E. Sacco
中科院分区：
文献类型：
--
作者：
E. Sacco
本文论述了砌体拱的分析。回顾了确定推力线的微分方程。然后，平衡方程的拱受到分布的点的力作用在节点上的推力线写。推导了给定推力曲线的平衡力分布，并给出了圆弧拱和抛物线拱的几个数值算例。通过建立一个合适的非线性约束最小化问题，来确定给定拱的几何形状和载荷分布的推力线。建议的数值技术是用来推导出的轮廓线的推力为圆形和抛物线拱均匀和非均匀载荷分布。然后，利用一致变形法（力法）对弹性拱的问题进行了公式化和求解。研究了拱顶水平沉降的影响，拱顶水平沉降引起推力线位置的改变，拱顶水平分布荷载的增加会导致拱的倒塌。
The paper deals with the analysis of masonry arches. The differential equation defining the line of thrust is reviewed. Then, the equilibrium equations for the arch subjected to a distribution of point-wise forces acting on nodes lying on the line of thrust are written. The equilibrated force distributions for given curves of thrust are deduced and several numerical examples for circular and parabolic arches are presented. The problem of the determination of the line of thrust for prescribed arch geometry and loading distribution is approached by formulating a suitable nonlinear constrained minimization problem. The proposed numerical technique is used to derive the profile of the line of thrust for circular and parabolic arches subjected to uniform and non-uniform loading distributions. Then, the problem of the elastic arch is formulated and solved making use of the method of consistent deformations (the force method). The effects of the horizontal settlement of the impost of the arch, which induces a modification of the position of the line of thrust, and of the increasing horizontal distributed load, which can lead to the collapse of the arch, are investigated.