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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, first and second-degree equations are calculated by considering the position from the initial right joint to the final 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 coefficients of shear force and bending moment equations by means of a statistical analysis. The minimum value of correlation coefficient for both methodologies was 0.98. This proposed method could be also extended to other vehicle loads used worldwide.

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