Skip to content
BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access February 4, 2016

The analytical design method of railway route’s main directions intersection area

  • Wladysław Koc
From the journal Open Engineering


The paper presents a design method related to railway track sections situated in a bend. In the method advantage is taken of an analytical form of description by using appropriate mathematical formulae. This may becomeparticularly usefulwhen the investigations are based on the data obtained from mobile satellite measurements. In the paper attention is concentrated on an universal approach creating an opportunity to diversify the type and length of the transition curves in use. The design procedure of the geometric lay-out is allocated to a particular local system of coordinates to be followed by a special transfer of the obtained solution to the national frame of space references 2000. The adopted course of procedure together with adequate theoretical relations has been provided. All the study has been illustrated with calculation examples based on data obtained from the railway line in operation.


[1] Bosy J., GraszkaW., Leonczyk M., ASG-EUPOS – A multifunctional precise satellite positioning system in Poland, European Journal of Navigation, 2007, 5 (4), 2–6 Search in Google Scholar

[2] Arslan A., Tari E., Ziatdinov R., Nabiyev R., Transition curve modeling with kinematical properties: research on log-aesthetic curves, Computer-Aided Design and Applications, 2014, 10, 11(5), 509–517 10.1080/16864360.2014.902680Search in Google Scholar

[3] Baykal O., Tari E., Coskun Z., Sahin M., New transition curve joining two straight lines, Journal of Transportation Engineering, ASCE, 1997, 9, 123(5), 337–345 10.1061/(ASCE)0733-947X(1997)123:5(337)Search in Google Scholar

[4] Bosurgi G., D’Andrea A., A polynomial parametric curve (PPCCURVE) for the design of horizontal geometry of highways, Computer-Aided Civil and Infrastructure Engineering, 2012, 4, 27(4), 303–312 10.1111/j.1467-8667.2011.00750.xSearch in Google Scholar

[5] Cai H., Wang G., A new method in highway route design: joining circular arcs by a single C-Bezier curve with shape parameter, Journal of Zhejiang University SCIENCE A, 2009, 10(4), 562–569 10.1631/jzus.A0820267Search in Google Scholar

[6] Habib Z., Sakai M., G2 Pythagorean hodograph quintic transition between two circleswith shape control, Computer Aided Geometric Design, 2007, 24, 252–266 10.1016/j.cagd.2007.03.004Search in Google Scholar

[7] Habib Z., Sakai M., On PH quantic spirals joining two circles with one circle inside the other, Computer-Aided Design, 2007, 39, 125–132 10.1016/j.cad.2006.10.006Search in Google Scholar

[8] Kobryn A., New solutions for general transition curves, Journal of Surveying Engineering, ASCE, 2014, 2, 140(1), 12–21 10.1061/(ASCE)SU.1943-5428.0000113Search in Google Scholar

[9] Tari E., Baykal O., An alternative curve in the use of high speed transportation systems, ARI, 1998, 10, 51(2), 126–135 10.1007/s007770050044Search in Google Scholar

[10] Tari E., Baykal O., A new transition curve with enhanced properties, Canadian Journal of Civil Engineering, 2011, 2, 32(5), 913– 923 10.1139/l05-051Search in Google Scholar

[11] Tasci L., Kuloglu N., Investigation of a new transition curve, The Baltic Journal of Road and Bridge Engineering, 2011, 6(1), 23–29 10.3846/bjrbe.2011.04Search in Google Scholar

[12] Ziatdinov R., Family of superspirals with completely monotonic curvature given in terms of Gauss hypergeometric function, Computer Aided Geometric Design, 2012, 10, 29(7), 510–518 10.1016/j.cagd.2012.03.006Search in Google Scholar

[13] Specht C., The GPS System, BERNARDINUM Publishing, Pelplin, Poland, 2007 (in Polish) Search in Google Scholar

[14] Specht C., Nowak A., Koc W., Jurkowska A., Application of the Polish Active Geodetic Network for railway track determination, Transport Systems and Processes -Marine Navigation and Safety of Sea Transportation, CRC Press - Taylor & Francis Group, London, UK, 2011, 77–81 Search in Google Scholar

[15] Koc W., Specht C., Selected problems of determining the course of railway routes by use of GPS network solution, Archives of Transport, 2011, 33(3), 303–320 10.2478/v10174-011-0021-xSearch in Google Scholar

[16] Koc W., Specht C., Satellite railway track measurement results, Technika Transportu Szynowego, 2009, 15 (7–8), 58–64 (in Polish) Search in Google Scholar

[17] Koc W., Design of rail-track geometric systems by satellite measurement, Journal of Transportation Engineering, ASCE, 2012, 138(1), 114–122 10.1061/(ASCE)TE.1943-5436.0000303Search in Google Scholar

[18] Koc W., Design method of railway route’s main directions intersection area, Problemy Kolejnictwa, 2011, 152, 197–217 (in Polish) Search in Google Scholar

[19] Baluch H., Optimization of track geometrical systems, WK&L, Warsaw, Poland, 1983 (in Polish) Search in Google Scholar

[20] Koc W., Analytical method of modelling the geometric system of communication route, Mathematical Problems in Engineering, vol. 2014, Article ID 679817 10.1155/2014/679817Search in Google Scholar

[21] Korn G. A., Korn T. M.,Mathematical handbook for scientists and engineers, McGraw – Hill Book Company, New York, USA, 1968 Search in Google Scholar

Received: 2015-4-13
Accepted: 2015-6-11
Published Online: 2016-2-4

©2016 Wladysław Koc

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Downloaded on 29.11.2023 from
Scroll to top button