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CivilAdvanced Survey
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The length of normal chord is___

A

A) 10 m

B

B) 15 m

C

C) 20 m

D

D) 25 m

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option C

20 m

Quick Summary:

In route surveying, a normal chord (also known as a full chord) is defined as the standard full chain length chord between two consecutive main stations along a circular curve. In standard Indian surveying practice using metric chains, the length of a normal chord is typically taken as 20 m (or 1 chain length). Any chord shorter than this standard length at the beginning or end of the curve is designated as a sub-chord.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

In route surveying, a normal chord (also known as a full chord) is defined as the standard full chain length chord between two consecutive main stations along a circular curve. In standard Indian surveying practice using metric chains, the length of a normal chord is typically taken as 20 m (or 1 chain length). Any chord shorter than this standard length at the beginning or end of the curve is designated as a sub-chord.

ЁЯФв Key Formulas

C=20┬аmC = 20\text{ m}C=20┬аm тАФ standard length of a normal chord in 20 m metric chaining

R=1146DR = \frac{1146}{D}R=D1146тАЛ тАФ relation between radius (RRR) and degree of curve (DDD) for a 20 m arc/chord

╬┤=28.65├ЧcR┬аdegrees\delta = 28.65 \times \frac{c}{R} \text{ degrees}╬┤=28.65├ЧRcтАЛ┬аdegrees тАФ deflection angle for a chord of length ccc

тЪЩя╕П Working Principle

When setting out circular curves in the field, main stations are established at regular chainage intervals corresponding to 1 full metric chain. The chord joining two successive full stations is termed a normal chord. Because the tangent point usually falls at an intermediate chainage rather than an exact full station, initial and final shorter chords called sub-chords are required to complete the alignment.

ЁЯУМ Key Points
  • тЦ╕

    A normal chord connects two successive full stations on a curve and equals 1 full chain length (20 m in standard metric practice).

  • тЦ╕

    Chords at the beginning (initial) and end (final) of a curve that are shorter than 20 m are called sub-chords.

  • тЦ╕

    The total length of a circular curve consists of an initial sub-chord, multiple normal chords, and a final sub-chord.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Setting out simple, compound, and reverse circular curves on roads and railways using Rankine's deflection angle method.

  • тЦ╕

    Computing curve elements and station chainages during highway and transit route alignment surveys.

ЁЯУД Additional Information
  • тЦ╕

    Option A (10 m) represents half-chain intervals often used for setting out sharp curves to minimize the discrepancy between arc and chord lengths.

  • тЦ╕

    Option B (15 m) is an arbitrary chord length and not a standard metric chain unit in Indian surveying practice.

  • тЦ╕

    Option D (25 m) is occasionally used in international practice with non-metric units, but standard Indian IS code specifies 20 m (or 30 m) chains.

ЁЯУК Diagram / Illustration
Standard Normal Chord Length FormulaLength of Normal Chord (C)1 Full Metric Chain Length20 m (Standard IS Practice)Sub-chord length < 20 m
тЬЕ

C is correct тАФ The standard length of a normal chord in metric route surveying is 20 m, which corresponds to one full metric chain length.

Core Concepts Used
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Normal Chord vs Sub-chord Rankine's Method of Deflection Angles Degree of Curve and Radius Relation
ЁЯТб EXAM TIP

Remember that for a 20 m chain, R=1146DR = \frac{1146}{D}R=D1146тАЛ, whereas for a 30 m chain, R=1719DR = \frac{1719}{D}R=D1719тАЛ. Exam questions frequently swap these constants based on the standard chord length used.

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