Roads and Bridges - Drogi i Mosty
13, 2, 2014, 131-143

Parameters of load transverse distribution across bridges

Czesław Machelski Mail
Wrocław University of Technology, Faculty of Civil Engineering


The paper concerns analysis of two classic bridge span models i.e. flat grillage and orthotropic plate in order to determine usefulness of characteristic parameters of this models for creation of load transverse distribution. The results of analysis shows that the orthotropic plate model obtained in Guyon-Massonnet and Cusens-Puma solutions is more general than the flat grillage model developed by Leonhardt. Through the comparison of characteristic parameters of both models, i.e. the orthotropic plate and the grillage, a general function of grillage characteristic parameter used in the Leonhardt method is derived. Additionally, the number of main girders and cross-beams is included in the formula. The function is used for verifying the assumptions of the simplest grillage model (Courbon’s Theory). Significant deviations from existing results are shown. The examples of comparative analyses given in the paper show the range of applications of the characteristic parameters of bridge models. In the conclusions the possibility of using bending moments influence surfaces to the transverse load distribution is presented.


bridge models parameters, comparative analysis, transverse distribution of loads

Full Text:



Machelski C.: Zastosowanie metody kinematycznej do wyznaczania funkcji wpływu sił wewnętrznych w układach prętowych. Inżynieria i Budownictwo, 54, 7, 1998, 372-375

Chełstowski Ł., Oleszek R., Radomski W.: O możliwościach modelowania przęseł dwubelkowych mostów betonowych. Inżynieria i Budownictwo, 69, 7-8, 2013, 422-428

Hołowaty J.: Live load distribution for assessment of highway bridges in american and european codes, Structural Engineering International, 22, 4, 2012, 574-578

Machelski C.: Rozdział poprzeczny obciążenia w przę- słach dwudźwigarowych. Inżynieria i Budownictwo, 59, 9, 2003, 490-493

Machelski C., Głuch G., Pigoń M.: Analiza parametryczna trzydźwigarowych przęseł betonowych. Roads and Bridges - Drogi i Mosty, 5, 4, 2006, 41-55

Cusens A.R., Puma R.P.: Bridge Deck Analysis. John Wiley & Sons, London, 1975. Analiza statyczna pomostów. WKiŁ, Warszawa, 1981

Guyon Y.: Calcul des ponts larges á poutrs multiples solidarisées par les entretoises. Annales des Ponts et Chaussées, 24, 9-10, 1946, 553-612

Leonhardt F.: Die vereinfachte Berechnung zweiseitig gelagerter Trägerroste. Ernst & Sohn, Berlin, 1939

Massonnet Ch.: Méthode de calcul des ponts á poutres multiples tenant compte de leur re-sistance á la torsion. International Association for Bridge and Structural Engineering, Zürich, 1950

Szczygieł J.: Mosty z betonu zbrojonego i sprężonego. WKiŁ, Warszawa, 1972

Parameters of load transverse distribution across bridges

Machelski, Czesław. Parameters of load transverse distribution across bridges. Roads and Bridges - Drogi i Mosty, [S.l.], v. 13, n. 2, p. 131-143 , apr. 2014. ISSN 2449-769X. Available at: <>. Date accessed: 22 Oct. 2019. doi: