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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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The tangent previous to the curve is called.

A

Back tangent

B

Forward tangent

C

Length of curve

D

Long chord

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilAdvanced Survey
Option A

Back tangent

Quick Summary:

The tangent line to the curve prior to the point of curve (PC) is known as the back tangent or rear tangent. It represents the original direction of the alignment before entering the curve. The tangent following the curve is referred to as the forward tangent.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

The tangent line to the curve prior to the point of curve (PC) is known as the back tangent or rear tangent. It represents the original direction of the alignment before entering the curve. The tangent following the curve is referred to as the forward tangent.

🔢 Key Formulas

T=Rtan⁡(Δ2)T = R \tan\left(\frac{\Delta}{2}\right)T=Rtan(2Δ​) — Tangent length where RRR is radius and Δ\DeltaΔ is deflection angle

L=2Rsin⁡(Δ2)L = 2R \sin\left(\frac{\Delta}{2}\right)L=2Rsin(2Δ​) — Length of long chord

⚙️ Working Principle

In highway and railway alignment design, two straight sections (tangents) intersecting at an angle are connected using a circular or transition curve. The line along which the survey proceeds before entering the curve is the back tangent, establishing the initial direction from which deflection angles are measured.

📌 Key Points
  • ▸

    The point where the back tangent touches the curve is called the Point of Curve (PC) or Tangent Point (T₁).

  • ▸

    The point where the curve ends and joins the forward tangent is called the Point of Tangency (PT) or Tangent Point (T₂).

  • ▸

    The intersection point of the back tangent and forward tangent is called the Point of Intersection (PI) or Vertex (V).

🛠️ Applications / Uses
  • ▸

    Used in setting out horizontal curves for roads and railways.

  • ▸

    Essential for calculating tangent lengths and curve elements during route surveys.

📄 Additional Information
  • ▸

    Option B (Forward tangent) is the tangent line immediately following the curve along the direction of alignment.

  • ▸

    Option C (Length of curve) is the arc length from the Point of Curve (PC) to the Point of Tangency (PT).

  • ▸

    Option D (Long chord) is the straight distance joining the Point of Curve (PC) to the Point of Tangency (PT).

📊 Diagram / Illustration
Simple Circular Curve GeometryPC (T₁)PT (T₂)PI (V)Back TangentDirection of Survey →Forward TangentCircular CurveLong Chord (L)
✅

A is correct — The back tangent is the straight section preceding the curve in the direction of the survey.

Core Concepts Used
Click any tag to open in AI Tutor
Elements of Simple Circular Curve Point of Curve and Point of Intersection Surveying Deflection Angles
💡 EXAM TIP

Remember that alignment stationing proceeds along the back tangent to the PC, along the curve to the PT, and then continues along the forward tangent.

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