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Derived Units

A broad gauge...

Question

A broad gauge rail line passes through a horizontal curved section (radius = 875 m) of length 200 m. The allowable speed on this portion is 100 km/h. For calculating the cant, consider the gauge as centre-to-centre distance between the rail heads, equal to 1750 mm. The maximum permissible cant (in mm, round off to 1 decimal place) with respect to the centre-to-centre distance between the rail heads is

157.5

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Solution

The correct option is A 157.5
Given data:

R = 875 mm
Allowable speed = 100 kmph
Gauge length G = 1750 mm
Allowable cant $= \frac{G V_{a l l}^{2}}{127 R} = \frac{1750 \times 100^{2}}{127 \times 875}$

$= 157.5$ mm

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