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CivilAdvanced Survey
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The degree of the curve is the angle subtended by a chord or arc of___

A

10 m

B

15 m

C

30 m

D

20 m

Correct Answer

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

20 m

Quick Summary:

The degree of a curve (DDD) is defined as the angle subtended at the center of the curve by an arc or a chord of standard length, traditionally taken as 20┬аm20\text{ m}20┬аm (or 30┬аm30\text{ m}30┬аm in some metric systems, though 20┬аm20\text{ m}20┬аm is widely accepted as standard in modern Indian practice like IRC). According to Indian practice and IRC specifications, a standard chord length of 20┬аm20\text{ m}20┬аm is commonly used to define the degree of curve.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

The degree of a curve (DDD) is defined as the angle subtended at the center of the curve by an arc or a chord of standard length, traditionally taken as 20┬аm20\text{ m}20┬аm (or 30┬аm30\text{ m}30┬аm in some metric systems, though 20┬аm20\text{ m}20┬аm is widely accepted as standard in modern Indian practice like IRC). According to Indian practice and IRC specifications, a standard chord length of 20┬аm20\text{ m}20┬аm is commonly used to define the degree of curve.

ЁЯФв Key Formulas

R=1146DR = \frac{1146}{D}R=D1146тАЛ тАФ Radius of curve for 20┬аm20\text{ m}20┬аm standard arc length

R=1719DR = \frac{1719}{D}R=D1719тАЛ тАФ Radius of curve for 30┬аm30\text{ m}30┬аm standard arc length

тЪЩя╕П Working Principle

In surveying, horizontal curves are defined either by their radius (RRR) or by their degree (DDD). The degree of curve helps field engineers set out curves easily using chainage interval chords. As the radius increases, the degree of curve decreases, indicating a flatter curve.

ЁЯУМ Key Points
  • тЦ╕

    Definition: Degree of curve (DDD) is the angle subtended at the center by a standard chord/arc.

  • тЦ╕

    For 20┬аm20\text{ m}20┬аm chain/arc: RтЙИ1146D┬аmR \approx \frac{1146}{D}\text{ m}RтЙИD1146тАЛ┬аm.

  • тЦ╕

    For 30┬аm30\text{ m}30┬аm chain/arc: RтЙИ1719D┬аmR \approx \frac{1719}{D}\text{ m}RтЙИD1719тАЛ┬аm.

тЬЕ Advantages
  • тЦ╕

    Allows quick relation between curve radius and field chainage intervals.

  • тЦ╕

    Simplifies angular calculations during curve setting out using the rankine's deflection angle method.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Requires distinction between chord definition and arc definition for sharp curves.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Design and alignment of railway tracks and highways.

  • тЦ╕

    Setting out simple circular curves in field surveying.

ЁЯУД Additional Information
  • тЦ╕

    Option A (10 m) is used in specific specialized alignment practices but not standard road survey.

  • тЦ╕

    Option C (30 m) is the classical standard metric chain definition, but 20 m is standard in modern Indian Road Congress (IRC) specifications.

  • тЦ╕

    Option D (20 m) is the accepted correct standard answer in most Indian competitive engineering exams.

ЁЯУК Diagram / Illustration
Degree of Curve (D) FormulaFor a 20 m standard arc/chord length:20 ├Ч 180╧А ├Ч RD = 1146 / R (approx. in degrees)
тЬЕ

D is correct тАФ The degree of a curve is conventionally defined as the central angle subtended by an arc or chord of standard length 20 m (or 30 m).

Core Concepts Used
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Degree of Curve Arc Definition vs Chord Definition Radius-Degree Relationship
ЁЯТб EXAM TIP

Always check whether the question specifies IRC/metric standard or a 30 m chain, as R=1146/DR = 1146/DR=1146/D applies to 20 m and R=1719/DR = 1719/DR=1719/D applies to 30 m.

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