On Indian Railways, the angle of crossing associated with the V-crossing (frog) is commonly calculated by which method?
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ACole’s method
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BCentre-line method
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CIsosceles-triangle method
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DBoth Cole’s and Centre-line methods
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EParabolic transition method only
Answer
Correct Answer: Both Cole’s and Centre-line methods
Explanation
Introduction / Context:The angle of crossing determines the geometry of the V-crossing (frog) in a turnout or diamond. Several geometric conventions exist for defining and computing this angle for design and manufacture.
Given Data / Assumptions:
- Indian Railways practice allows more than one accepted method in standards and literature.
- Focus is on common calculation conventions rather than numerical value.
Concept / Approach:
Two widely taught approaches are Cole’s method and the centre-line method. Both yield consistent, practically usable definitions for specifying and checking crossings. The isosceles-triangle method is more of a didactic geometric construct and not the usual specification basis.
Step-by-Step Solution:
Identify practices recognized by Indian standards and texts.Acknowledge that Cole’s and centre-line methods are both used.Select the option that includes both.Verification / Alternative check:
Handbooks present tables with crossing numbers convertible between methods for checking and procurement.
Why Other Options Are Wrong:
Using only one of the two omits a commonly accepted method; the isosceles-triangle method is not the common specification basis; “parabolic transition method” is unrelated to crossing angle definition.
Common Pitfalls:
Confusing crossing angle with turnout angle or switch angle; misinterpreting crossing number (1 in N) as a direct degree measure.
Final Answer:
Both Cole’s and Centre-line methods