Equation Systems Derived from the Analysis of Porticoed Structures: Graphic Resolution Methods and Comparative Study

3rd World Multidisciplinary Civil Engineering, Architecture, Urban Planning Symposium

土木建筑工程;文学

Lacort, Agustin Gregorio^1

University of the Basque Country, Donostia, Spain^1

关键词: Building structure;    Comparative studies;    Equation systems;    Equilibrium methods;    Manual analysis;    Mathematical procedures;    Resolution methods;    Visual procedure;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/471/9/092041/pdf
DOI  :  10.1088/1757-899X/471/9/092041

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

This paper conducts first-order theoretical and linear analyses of a building structure using a classical equilibrium method. The structure comprises a single storey and is made up of ordinary equal porticoes connected by a one-way floor slab. The equation systems for the floor slab and the porticoes are resolved with different visual procedures described previously, which were drawn up to facilitate the manual analysis of these structures. These procedures exactly reproduce in graphic form the operations of Cholesky's and Gauss' procedures, the last one deducted by another method inspired in Cross. Some are designed to resolve generic equation systems and others to resolve systems derived from specific types. In this paper, the drawings are made freehand and the results are accurate enough because they are obtained on surfaces for which it is not possible to commit major errors. The graphic procedures used are classified according to suitability, by comparing the exactness of their results and the number of lines required in each case. It is observed that the application time i) varies from one method to another, even though the mathematical procedures do not change, and ii) could be shortened when a graphic method adapted to the relevant type is used. It is also observed that a consistent image of all the operations makes it easier to simplify them and monitor any errors committed. This study also suggests that other graphic methods could be drawn up that would enable different types of building structure to be analysed exactly in just a few operations.