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ECET 2026 CIVIL

Day 4 Transportation Engineering – Highway Geometrics (ECET 2026 Civil)

Why this topic is important for ECET?

Highway Geometrics form the foundation of Transportation Engineering, dealing with the visible and invisible elements of road design – width, curves, gradients, sight distances, and super-elevation. In ECET 2026 Civil, you can expect direct formula-based problems and conceptual MCQs from this topic. Mastering highway geometrics ensures you score quick, error-free marks.


📘 Concept Notes

1. Highway Geometric Design

It deals with the visible features of a highway that affect safety, comfort, and speed. Elements include:

  • Sight distance
  • Horizontal curves
  • Vertical curves
  • Super-elevation
  • Road widths, shoulders, medians

2. Sight Distance

  • Distance visible to driver at any instant.
  • Types:
    • Stopping Sight Distance (SSD): Minimum distance needed to stop vehicle safely.
    • Overtaking Sight Distance (OSD): Minimum distance required for overtaking on two-lane roads.
    • Intermediate Sight Distance (ISD): 2 × SSD.

SSD Formula:

 SSD = vt + \frac{v^2}{2gf}

where
vvv = speed (m/s),
ttt = reaction time (2.5 sec standard),
ggg = gravity (9.81 m/s²),
fff = coefficient of friction.


3. Super-Elevation (e)

  • Provided on horizontal curves to counteract centrifugal force.

 e + f = \frac{v^2}{gR}

where
vvv = speed (m/s),
RRR = radius of curve.


4. Extra Widening on Curves

Extra widening = Mechanical + Psychological widening.

 W_e = \frac{nl^2}{2R} + \frac{V}{9.5\sqrt{R}}

where
nnn = lanes,
lll = wheelbase,
RRR = radius,
VVV = speed in kmph.


5. Transition Curve

  • Gradually introduces curvature.
  • Length of transition curve (L):

 L = \frac{v^3}{CR}

where
CCC = rate of change of centrifugal acceleration.


6. Gradients

  • Slope of road surface.
  • Types: ruling, limiting, exceptional.

7. Vertical Curves

  • Connect different gradients smoothly.
  • Summit curve length (L):
     L = \frac{N^2}{4.4} (approximation for SSD consideration)
  • Valley curve length (L):

 L = \frac{1.5N^2}{\sqrt{h_1}+\sqrt{h_2}}


⚙️ Formulas

 SSD = vt + \frac{v^2}{2gf}

 e + f = \frac{v^2}{gR}

 W_e = \frac{nl^2}{2R} + \frac{V}{9.5\sqrt{R}}

 L = \frac{v^3}{CR}

 L_{summit} = \frac{N^2}{4.4}

 L_{valley} = \frac{1.5N^2}{\sqrt{h_1}+\sqrt{h_2}}


🔟 10 MCQs

Q1. Stopping sight distance depends on:
a) Speed only
b) Speed and reaction time
c) Speed, friction, gradient
d) All of the above

Q2. For design, standard reaction time taken =
a) 1 sec
b) 2.5 sec
c) 4 sec
d) 5 sec

Q3. A vehicle at 72 kmph stops in 6 sec. Approximate SSD = ?
a) 50 m
b) 120 m
c) 80 m
d) 150 m

Q4. Formula for super-elevation is:
a)  e = \frac{v}{gR}
b)  e + f = \frac{v^2}{gR}
c)  e = \frac{v^2}{2gR}
d)  e = \frac{f}{R}

Q5. Maximum super-elevation in India as per IRC is:
a) 1 in 8
b) 1 in 12
c) 1 in 15
d) 1 in 16

Q6. Extra widening on curves consists of:
a) Mechanical only
b) Psychological only
c) Both mechanical and psychological
d) None

Q7. Transition curve is introduced to:
a) Reduce shock and sway
b) Introduce centrifugal force gradually
c) Provide comfort and safety
d) All of the above

Q8. For summit curves, the main criterion is:
a) Comfort
b) Overtaking sight distance
c) Stopping sight distance
d) Aesthetics

Q9. At design speed of 60 kmph, radius of horizontal curve = 200 m, find required e+f.
a) 0.05
b) 0.09
c) 0.12
d) 0.2

Q10. IRC recommended ruling gradient in plain terrain =
a) 1 in 15
b) 1 in 20
c) 1 in 30
d) 1 in 40


✅ Answer Key

QAnswer
1d
2b
3c
4b
5d
6c
7d
8c
9b
10b

🧠 Explanations

  • Q1: SSD depends on all factors (speed, reaction time, gradient, friction) → (d).
  • Q2: IRC recommends 2.5 sec reaction time → (b).
  • Q3: v = 72 kmph = 20 m/s, SSD = vt = 20×6 = 120 m → (c).
  • Q4: Correct formula is  e+f = \frac{v^2}{gR} → (b).
  • Q5: IRC max = 1/15 = 0.067 → (d).
  • Q6: Extra widening = mechanical + psychological → (c).
  • Q7: Transition curve ensures comfort, safety, gradual centrifugal force → (d).
  • Q8: Summit curve is designed for SSD → (c).
  • Q9: v = 16.67 m/s, (v²/gR) = (278)/1962 ≈ 0.09 → (b).
  • Q10: Ruling gradient in plains = 1 in 30, but limiting = 1 in 20 → (b).

🎯 Motivation / Why Practice Matters

Highway Geometrics is a direct scoring topic in ECET 2026 Civil.

  • Most questions are formula-based – quick to solve if you memorize relations.
  • Mistakes usually come from unit conversion and IRC values.
    👉 Practice daily to ensure speed + accuracy, giving you an edge in competitive ranking.

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