Transition Curves in Vertical Alignment as a Method for Reducing Fuel Consumption

Andrzej Kobryń


This paper presents a new approach to the fuel consumption reduction. This approach is based on vertical curve designs based on transition curves. The work presents selected curves, which are used for this purpose. Moreover, the results of comparative studies are shown for these curves, carried out in order to compare the possible reduction of fuel consumption in vertical curves designed using both conventional and proposed methods. Numerical studies were based on German engineering guidelines. In the case of vertical arcs formed by transition curves, fuel consumption indexes prove to be significantly lower than in curves based on a grade line consisting of straight lines with parabolic arcs. The obtained results indicate the advisability of forming vertical curves using transition curves.


vertical alignment; vertical curves; fuel consumption reduction

Full Text:



Ahn, K.; Rakha, H.; Trani, A.; Van Aerde, M. 2002. Estimating Vehicle Fuel Consumption and Emissions Based on Instantaneous Speed and Acceleration Levels, Journal of Transportation Engineering 128(2): 192−190.

Bastani, P.; Heywood, J. B.; Hope, C. 2012. The Effect of Uncertainty on US Transport-Related GHG Emissions and Fuel Consumption Out to 2050, Transportation Research Part A 46(3): 517−548.

Fulczik, A. G. 1975. Die kubische Funktion als Trassierungselement im Aufriß [The Cubic Function as a Vertical Alignment Element], Die Straße 15(2): 52−54.

Fulczik, A. G. 1977a. Funktionen für Trassen (FUT) [Functions for Routes], Die Straße 17(1): 9−14.

Fulczik, A. G. 1977b. Trassenausgleich nach Spline-Algorithmen (TRANSA) [Alignment with Spline-Algorithms], Die Straße 17(2): 65−67.

Grabowski, R. J. 1984. Gładkie przejścia krzywoliniowe w drogach kołowych i kolejowych [Smooth Curvilinear Transitions in Roads and Railways], Zeszyty Naukowe AGH, Geodezja 82, Cracow. 126 p.

Jakimavičius, M.; Burinskienė, M. 2014. Assessment of Vilnius City Development Scenarios Based on Transport System Modelling and Multicriteria Analysis, Journal of Civil Engineering and Management 15(4): 361−368.

Kobryń, A. 1999. Geometryczne kształtowanie krzywoliniowych odcinków niwelety tras drogowych [Kobryń A. Geometric Formation of Curvilinear Sections of Vertical Alignment] Rozprawy Naukowe 60. Białystok: Wydawnictwa Politechniki Białostockiej, 174 p. ISSN 0867-096X.

Kobryń, A. 2002. Wielomianowe krzywe przejściowe w projektowaniu niwelety tras drogowych [Kobryń A. Polynomial Transition Curves in the Vertical Alignment]. Rozprawy Naukowe 100. Białystok: Wydawnictwa Politechniki Białostockiej, 126 p. ISSN 0867-096X.

Kobryń, A. 2009. Wielomianowe kształtowanie krzywych przejściowych [Kobryń A. Polynomial Formation of Transition Curves]. Rozprawy Naukowe 167. Białystok: Wydawnictwa Politechniki Białostockiej, 59 p. ISSN 0867-096X.

Kobryń, A. 2011a. Ekonomiczno-geometryczne aspekty projektowania łuków pionowych [Kobryń A. Economic and Geometric Aspects of Vertical Curves Design], Drogownictwo 166(1): 14−20.

Kobryń, A. 2011b. Polynomial Solutions of Transition Curves, Journal of Surveying Engineering 137(3): 71−80.

Kobryń, A. 2014. New Solutions for General Transition Curves, Journal of Surveying Engineering 140(1): 12−21.

Mickūnaitis, V.; Pikunas, A.; Mackoit, I. 2007. Reducing Fuel Consumption and CO2 Emission in Motor Cars, Transport 22(3): 160−163.

Oprešnik, S. R.; Seljak, T.; Bizjan, F.; Katrašnik, T. 2011. Exhaust Emissions and Fuel Consumption of a Triple-Fuel Spark-Ignition Engine Powered Passenger Car, Transportation Research Part D 17(3): 221−227.

Várhelyi, A. 2002. The Effects of Small Roundabouts on Emissions and Fuel Consumption: a Case Study, Transportation Research Part D 7(1): 65−71.

DOI: 10.3846/bjrbe.2014.32


  • There are currently no refbacks.

Copyright (c) 2014 Vilnius Gediminas Technical University (VGTU) Press Technika