A practical method to compute shear force and bending moment envelope curves for isostatic bridges subjected to vehicle live loads

Authors

DOI:

https://doi.org/10.17533/udea.redin.n77a18

Keywords:

Bridges, envelope curve, shear force, bending moment, free software

Abstract


In order to obtain the envelope curve of shear force and bending moment induced by vehicle live loads along Mexican isostatic bridges with spans from 15.0 to 50.0 m, fi rst and second-degree equations are calculated by considering the position from the initial right joint to the fi nal left joint of a beam as the independent variable. Additional to the professional use of this elementary tool, it can be used in academic courses of bridge design in order to avoid the illegal use of commercial software. By using a simple-short algorithm developed in a free software application, the theoretical envelope curves are obtained. In order to simplify the process, these curves are used to calculate the coeffi cients of shear force and bending moment equations by means of a statistical analysis. The minimum value of correlation coeffi cient for both methodologies was 0.98. This proposed method could be also extended to other vehicle loads used worldwide.

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Author Biographies

Sulpicio Sánchez-Tizapa, Universidad Autónoma de Guerrero

Unidad Académica de Ingeniería

Coordinador de Posgrado y Profesor Investigador

Roberto Arroyo-Matus, Universidad Autónoma de Guerrero

Unidad Académica de Ingeniería

Profesor-Investigador de Núcleo Básico de Posgrado

Andrés Gama García, Universidad Autónoma de Guerrero

Unidad Académica de Ingeniería

Profesor Investigador. Responsable del Laboratorio Regional de Estructuras

References

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Secretaría de Comunicaciones y Transportes (SCT), “Cargas y acciones”, Proyecto de Puentes y Estructuras, Norma N·PRY·CAR·6·01·003/01. Ciudad de México, México, 2001.

Secretaría de Comunicaciones y Transportes (SCT) / Dirección General de Autotransporte Federal (DGAF), Capítulo XI del reglamento del capítulo de explotación de caminos de la Ley de vías generales de comunicación que trata del peso y otras características de los vehículos. Ciudad de México, México: SCT/DGAF, 1980.

Scilab, Scilab, 2014. [Online]. Available: http://www. scilab.org/. Accessed on: Dec. 5, 2014.

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Computer & Structures, Inc. (CSI), Sap2000® v. 17. Integrated solution for structural analysis and design. Walnut Creek, USA: Computers & Structures, Inc., 2015

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Published

2015-12-17

How to Cite

Sánchez-Tizapa, S., Arroyo-Matus, R., & Gama García, A. (2015). A practical method to compute shear force and bending moment envelope curves for isostatic bridges subjected to vehicle live loads. Revista Facultad De Ingeniería Universidad De Antioquia, (77), 153–161. https://doi.org/10.17533/udea.redin.n77a18