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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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CivilAdvanced Survey
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What is said to when survey line makes with the prolongation of the preceding line?

A

Horizontal angle

B

Vertical angle

C

Deflection angle

D

Pont of intersection

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilAdvanced Survey
Option C

Deflection angle

Quick Summary:

A deflection angle is the angle between a survey line and the prolongation (extension) of the preceding survey line. It indicates how much the new line turns away from the direct path of the previous line.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

A deflection angle is the angle between a survey line and the prolongation (extension) of the preceding survey line. It indicates how much the new line turns away from the direct path of the previous line.

🔢 Key Formulas

δ=∣Included Angle−180°∣\delta = |\text{Included Angle} - 180°|δ=∣Included Angle−180°∣ — relationship between included angle and deflection angle

Right Deflection=Forward Azimuth\text{Right Deflection} = \text{Forward Azimuth}Right Deflection=Forward Azimuth - Back Azimuth—\text{Back Azimuth} —Back Azimuth—calculation from bearings

⚙️ Working Principle

In traversing with a theodolite, the instrument is set up at a station and back-sighted along the previous line. The telescope is then inverted (plunged) to point along the prolongation of that line, and swung horizontally to sight the forward station to measure the angle turned.

📌 Key Points
  • ▸

    Deflection angles vary from 0°0°0° to 180°180°180° and are designated as Right (clock-wise) or Left (counter-clockwise).

  • ▸

    Widely used in open traverses for continuous linear surveys such as roads, railways, pipelines, and canals.

  • ▸

    For a closed traverse with NNN sides, the algebraic sum of deflection angles equals 360°360°360° (Right angles taken as positive, Left as negative).

✅ Advantages
  • ▸

    Simplifies field notes and layout procedures for long linear route surveying.

  • ▸

    Directly provides the turning angle needed for setting up circular curves.

❌ Disadvantages / Limitations
  • ▸

    Instrument errors (like collimation error) double if the telescope is plunged without double centering.

  • ▸

    Errors can accumulate sequentially along an open traverse if not checked regularly.

🛠️ Applications / Uses
  • ▸

    Highway and railway alignment surveys.

  • ▸

    Pipeline, canal, and transmission line surveys.

📄 Additional Information
  • ▸

    Option A (Horizontal angle): General term for any angle measured in a horizontal plane between two lines.

  • ▸

    Option B (Vertical angle): The angle measured in a vertical plane between the line of sight and the horizontal plane.

  • ▸

    Option D (Point of intersection): The vertex point where two straight tangents of a curve intersect.

📊 Diagram / Illustration
Station BStation AStation CProlongation ofABDeflection Angle (θ)
✅

C is correct — The deflection angle is explicitly defined as the angle made by a survey line with the extended prolongation of the preceding survey line.

Core Concepts Used
Click any tag to open in AI Tutor
Deflection Angle Open Traverse Theodolite Plunging
💡 EXAM TIP

Remember for curve design: the deflection angle between the initial tangent and final tangent equals the total central angle (Δ)(\Delta)(Δ) subtended by the circular curve at its center.

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