ESTIMATE OF STATIC TRACK MODULUS USING ELASTIC FOUNDATION MODELS

A new method for calculating the track modulus by using elastic properties of the individual track support components is developed. The properties include (a) the stiffness of the rail pad, (b) the vertical stiffness and bending rigidity of the tie treated as a beam on both a Winkler foundation and two-parameter foundation, and (c) the Young's moduli and Poisson's ratio values of the soil layers underlying the track. Semi-infinite elastic foundation theories are used to estimate the equivalent ballast/subgrade stiffness distributed along the length of the tie. Track modulus charts and application examples are given for typical track support structures used in North America. A practical benefit of the new approach proposed is that it eliminates the need to carry out relatively expensive field tests. An overview of some existing methods to determine track modulus is also presented. The validation of the proposed method is currently in progress.

[1]  Harry W. Shenton,et al.  Railroad Track Analyses and Determination of Parameters , 1986 .

[2]  A. Sridharan,et al.  Stiffness Coefficients of Layered Soil Systems , 1990 .

[3]  Miklós Hetényi,et al.  Beams on Elastic Foundation: Theory with Applications in the Fields of Civil and Mechanical Engineering , 1946 .

[4]  Harry E. Stewart MEASUREMENT AND PREDICTION OF VERTICAL TRACK MODULUS , 1985 .

[5]  J. Horvath Subgrade Models for Soil-Structure Interaction Analysis , 1989 .

[6]  Dimitrios Karamanlidis,et al.  Exact transfer and stiffness matrices for a beam/column resting on a two-parameter foundation , 1989 .

[7]  H. Poulos,et al.  Elastic solutions for soil and rock mechanics , 1973 .

[8]  Robert D. Cook,et al.  BEAM ELEMENTS ON TWO-PARAMETER ELASTIC FOUNDATIONS , 1983 .

[9]  A. B. Vesic,et al.  Model Studies of Beams Resting on a Salt Subgrade , 1963 .

[10]  J E Bowles FOUNDATION ANALYSIS AND DESIGN. FOURTH EDITION , 1988 .

[11]  A. J. Valsangkar,et al.  Generalized Beam Element on Two‐Parameter Elastic Foundation , 1988 .

[12]  R. H. Prause,et al.  THE DEVELOPMENT OF ANALYTICAL MODELS FOR RAILROAD TRACK DYNAMICS , 1975 .

[13]  G. Gladwell,et al.  Elastic Analysis of Soil-Foundation Interaction , 1979 .

[14]  Gerald Patrick Raymond,et al.  Triaxial Tests on Dolomite Railroad Ballast , 1978 .

[15]  R. A. Fraser,et al.  Numerical Analysis of Rectangular Rafts on Layered Foundations , 1976 .

[16]  Allan M Zarembski,et al.  ON THE MEASUREMENT AND CALCULATION OF VERTICAL TRACK MODULUS , 1979 .

[17]  Gerald P Raymond ANALYSIS OF TRACK SUPPORT AND DETERMINATION OF TRACK MODULUS , 1985 .

[18]  Toyoaki Nogami,et al.  Two‐Parameter Layer Model for Analysis of Slab on Elastic Foundation , 1987 .

[19]  Michael W. O'Neill,et al.  Beam on Generalized Two‐Parameter Foundation , 1985 .

[20]  Y. C. Das,et al.  Parametric Study of Beams on Elastic Foundations , 1988 .