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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
Back to Practice Questions
CivilTransportation Engineering
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The widening of a road is not required when its radius will be

A

less than 300 m

B

more than 300 m

C

less than 460 m

D

more than 460 m

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilTransportation Engineering
Option D

more than 460 m

Quick Summary:

According to the Indian Roads Congress (IRC) guidelines, extra widening of a road is provided on horizontal curves to account for off-tracking of vehicles and psychological widening. When the radius of the curve (RRR) is greater than 460 m, the calculated extra widening is generally negligible (less than 0.1 m), and thus it is practically ignored.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

According to the Indian Roads Congress (IRC) guidelines, extra widening of a road is provided on horizontal curves to account for off-tracking of vehicles and psychological widening. When the radius of the curve (RRR) is greater than 460 m, the calculated extra widening is generally negligible (less than 0.1 m), and thus it is practically ignored.

🔢 Key Formulas

Wm=nl22RW_m = \frac{nl^2}{2R}Wm​=2Rnl2​ — Mechanical widening for off-tracking

Wps=v9.5RW_{ps} = \frac{v}{9.5\sqrt{R}}Wps​=9.5R​v​ — Psychological widening

We=nl22R+v9.5RW_e = \frac{nl^2}{2R} + \frac{v}{9.5\sqrt{R}}We​=2Rnl2​+9.5R​v​ — Total extra widening

⚙️ Working Principle

Widening consists of two parts: mechanical widening (WmW_mWm​) to compensate for the off-tracking of long-wheelbase vehicles, and psychological widening (WpsW_{ps}Wps​) to provide a sense of safety for drivers negotiating the curve. The total widening is given by We=Wm+Wps=nl22R+v9.5RW_e = W_m + W_{ps} = \frac{nl^2}{2R} + \frac{v}{9.5\sqrt{R}}We​=Wm​+Wps​=2Rnl2​+9.5R​v​. As RRR increases, the denominator increases, causing both components to decrease toward zero.

📌 Key Points
  • ▸

    Widening is mandatory when R<300R < 300R<300 m.

  • ▸

    Widening is optional or negligible when RRR is between 300 m and 460 m.

  • ▸

    Widening is not required when R>460R > 460R>460 m.

  • ▸

    Off-tracking occurs because the rear wheels follow a shorter path than the front wheels on a curve.

✅ Advantages
  • ▸

    Increases safety for overtaking on curves

  • ▸

    Prevents structural damage to road edges

❌ Disadvantages / Limitations
  • ▸

    Higher initial construction cost

  • ▸

    Increases land acquisition requirement

🛠️ Applications / Uses
  • ▸

    Highway geometric design

  • ▸

    Design of mountain roads with tight curves

📄 Additional Information
  • ▸

    The value 460 m is derived based on the standard wheelbase of the design vehicle and speed characteristics specified in IRC:73.

  • ▸

    Option C (<460< 460<460 m) is incorrect because it describes the range where widening is typically still recommended.

📊 Diagram / Illustration
Extra Widening Formula (WeW_eWe​)
We=nl22R+v9.5RW_e = (nl^2 / 2R) + \frac{v}{9.5\sqrt{R}}We​=2Rnl2​+9.5R​v​
For R>460R > 460R>460 m, We≈0W_e \approx 0We​≈0
n = number of lanes, l = wheelbase, v = designspeed
✅

D is correct — According to IRC standards, the extra widening requirement becomes negligible for horizontal curves with a radius exceeding 460 m.

Core Concepts Used
Click any tag to open in AI Tutor
Horizontal Alignment Extra Widening Off-tracking
💡 EXAM TIP

Always remember the threshold values: R<300R < 300R<300 m (Must provide), 300<R<460300 < R < 460300<R<460 m (Optional), R>460R > 460R>460 m (Not required).

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