Analysis of a porch using the Systematized Rigidity method

Abstract

This article consists of the description and analysis of a structure manually that presents elements such as "biarticulated bar, rigid solid and a beam", which by theory each presents different properties and behaviors, for which the Systematized Rigidity Method was applied. , which is a derivative of the direct stiffness method, to later compare the results with the help of the Ftool software, following the Structural Analysis II classes of the UNISCJSA, the global Q-D system and the local q-d with the degrees of freedom were determined In the entire general structure and in each bar, the transformation matrix [A] and the stiffness matrices of each bar [Ki] were obtained, with this the stiffness matrix of the entire structure [K] was constructed, the load vector [R] was found by verifying if there are loads that act on the bars and not on the nodes, the load vector [r] was analyzed in the q-d system, the deformation vector of the degrees of freedom [D] was determined in the global Q-D and local q-d system, finally the internal forces of each bar were calculated, and with the results the diagrams of shear force, normal force and bending moment were created, the Ftool program was used to verify the results and verify the diagrams, which favored the conclusions.