Subject: Dynamics of Rigid Bodies Topic: Banking curves and superelevation 1. If the speed of the railway car in the example 1 is reduced to

Subject: Dynamics of Rigid Bodies Topic: Banking curves and superelevation 1. If the speed of the railway car in the example 1 is reduced to 60 km/hr, what is the reaction and the pressure on each wheel flange? Show the complete solution and its FBD. Transcribed Image Text: EXAMPLES:
1. A 100 KN railway car, with its center of gravity 1.6 m above the track, goes around a
flat curve of 400 m radius. If the gauge distance between the centers of the rails is 1.4
m, determine the speed that will produce impending tipping?
|W
gr
1.6 m
B
1.4m
A
R1
R2
Wheel A will tip because of the centrifugal force towards the outer rail of the track;
R, = 0
Solution:
EMB= 0;
R, – W (0.70) + Wv² (1.6) = 0
gr
0– 100 (0.70) + 100v² (1.6) = 0
9.81(400)
V = 41.43 m/sans
v = 149.16 km/hr,ns

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