GATE CE 2021 Set 2 — Question 65
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Transportation Engineering → Railway Track Design → Cant Deficiency
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Question
For a curve on a high speed Broad Gauge (BG) rail section, the maximum sanctioned speed is and the equilibrium speed is . Consider dynamic gauge of BG rail as . The degree of curve is defined as the angle subtended at its center by a arc. The cant deficiency for the curve (in mm, round off to integer) is ___________
Correct answer
55 to 59
Solution
Given:
Degree of curve,
Maximum sanctioned speed,
Equilibrium speed,
Dynamic gauge,
Length of chord, Step 1: Calculate the radius of the curve ().
(for a arc, )
Step 2: Calculate the actual cant () provided for the equilibrium speed.
Step 3: Calculate the theoretical cant () required for the maximum sanctioned speed.
Step 4: Calculate the cant deficiency ().
Rounding off to the nearest integer, the cant deficiency is .
Degree of curve,
Maximum sanctioned speed,
Equilibrium speed,
Dynamic gauge,
Length of chord, Step 1: Calculate the radius of the curve ().
(for a arc, )
Step 2: Calculate the actual cant () provided for the equilibrium speed.
Step 3: Calculate the theoretical cant () required for the maximum sanctioned speed.
Step 4: Calculate the cant deficiency ().
Rounding off to the nearest integer, the cant deficiency is .
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