Systematized rigidity method in rigid arm and shear deformation

Abstract

The main objective of the research and writing of this article was to be able to apply the systematized rigidity method using rigid bar in frames as a manual calculation. For this, special consideration was taken of the syllabi that were carried out in the subject of Structural Analysis 1 and 2 of the UNISCJSA such as Q-D Systems, Primary System, Complementary System, Deformation Vectors and finally Internal Forces. We have been able to leave as an argument that in order to establish the degrees of freedom in the Q-D System, and their respective Internal Forces for all the bars that make up the reinforcement that we have selected for development. For its development we have used the systematized rigidity method and the procedures seen in the Structural Analysis II course at UNISCJSA, the following being typical of the system: Determination of the Q-D System [Q], Determination of the q-d system (Local) Determination of the Stiffness coefficients [K], Transformation Matrix, Stiffness Matrix of each bar, System Stiffness Matrix, Deformation Vector [D] and force of each q-d and Lateral Stiffness. The rigid arm frame structure was developed considering shear deformation in the plate and in the same way in all the structural elements, both in plate, column and beam. Regarding the developed structure, it has the following characteristics: It is a porch with dimensions in the beam, column and walls. EA = ∞ is considered throughout the structure.