a4_cee3604_2011 sol

a4_cee3604_2011 sol - CEE 3604: Introduction to...

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Fall 2011 Assignment 4:Rail Analysis and Stopping/Passing Distances Date Due: September 26, 2011 Instructor: Trani Problem 1 The basic resistance of the French TGV rail system can be modeled using a modified Davis’ equation of the form: R = k 1 + k 2 V + k 3 V 2 where the coefficients k 1 , k 2 and k 3 are estimated by the manufacturer to be 7.1 (kN), 0.09940 (kN/s/m) and 0.01074 (kN s-s/ m-m) so that the units of the basic resistance equation above are kiloNewtons . A six-car train weighing 415,000 kg is pulled by a single 14,000 HP locomotive. In solving this problem I recommend you can use Excel or the Matlab script in pages 8 and 12 of the Rail Resistance notes. a) Estimate and plot the basic resistance as a function of speed. Figure 1. Matlab Script to Estimate Resistance and Tractive Force. b) Estimate the tractive force of the complete rail unit if the locomotive has a efficiency ( η ) of 0.8. Plot the tractive force vs. speed in the same plot as the resistance (part a). Since the tractive force will tend to infinity for small values of speed, the locomotive has an engine control to limit the tractive force to 800 kN below 23 mph. CEE 3604
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This note was uploaded on 12/31/2011 for the course CEE 3604 taught by Professor Katz during the Fall '08 term at Virginia Tech.

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a4_cee3604_2011 sol - CEE 3604: Introduction to...

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