rail_resistance - CEE 3604 Rail Transportation Addendum...

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Transportation Engineering (A.A. Trani) CEE 3604 Rail Transportation: Addendum Rail Resistance Equations
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Transportation Engineering (A.A. Trani) Fundamental Formula A quadratic formula has been used for over 80 years to approximate rail vehicle resistance von Borries Formel, Leitzmann Formel, Barbier and Davis worked on this equation R = A + BV + CV 2 where R is the rail vehicle resistance (N), V is the velocity of the vehicle (m/s), and A ( N ) , B ( N s/m ) and C ( ) are regression coefficients obtained by fitting test data to the Davis equation Ns 2 / m 2 2
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Transportation Engineering (A.A. Trani) Observations The coefficients A and B in the Davis equation account for mass and mechanical resistance The coefficient C accounts for air resistance (proportional to the square of the speed) The Davis equation has been modified over the years for various rail systems and configurations . A few examples are shown in the following pages. 3
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Transportation Engineering (A.A. Trani) Davis Equation - Committee 16 of AREA (American Railway Engineering Association) where: R u is the resistance in lb/ton, w is the weight per axle ( W/n ), n is the number of axles, W is the total car weight on rails (tons), V is the speed in miles per hour and K is
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