Analysis of the internal forces of an isostatic reinforcement using the Column Scaling Pivot method

Authors

  • María A. Jamanca-Vega Universidad Nacional Santiago Antúnez de Mayolo
  • Tatiana N. Méndez-Ortiz Universidad Nacional Santiago Antúnez de Mayolo
  • Diego A. Cochachin-de la Cruz Universidad Nacional Santiago Antúnez de Mayolo
  • Einstein L. Vargas-Martínez Universidad Nacional Santiago Antúnez de Mayolo

Keywords:

Isostatic reinforcement, Node method, Column Scaled Pivot Method, Internal forces.

Abstract

The column scaled pivoting iterative method was used to find the values of the internal forces of an isostatic truss. To achieve this, the mathematical model was obtained using the method of structural analysis nodes, this model was given by a system of twenty-one linear equations. The solution of this system of equations represents the values of the internal forces in each element of the reinforcement; to reduce the calculations in order to obtain these values with an acceptable error, we execute the iterative method, adopting an acceptable starting point and tolerance. The comparison was also made with the values calculated by the SAP 2000 engineering program. The results showed that the column-scaled pivot method is effective. Keywords:

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References

COSMOS, M. 2012. 2.7 User’s Guide. Structural Research and Analysis Corporation. Optstar.

HIBBELER, R. C. 2010. Estática. Pearson Education, México.

OÑATE, E. 1992. Cálculo de Estructuras por el Método de Elementos Finitos. Centro Internacional de Métodos Númericos en Ingeniería, Barcelona.

ZIENKIEWICZ, O. & TAYLOR, R. 2010. El Método de los Elementos Finitos. Centro Internacional de Métodos Númericos en Ingeniería, Barcelona.

Published

2022-02-28

How to Cite

Jamanca-Vega, M. A., Méndez-Ortiz, T. N., Cochachin-de la Cruz, D. A., & Vargas-Martínez, E. L. (2022). Analysis of the internal forces of an isostatic reinforcement using the Column Scaling Pivot method. Ciencia & Futuro, 12(1), 96–104. Retrieved from https://revista.ismm.edu.cu/index.php/revistacyf/article/view/2133

Issue

Section

Ciencia Universitaria