Road design (highway engineering) is the branch of civil engineering that deals with the geometric layout, pavement structure, drainage, and traffic capacity of roads and highways to provide safe, comfortable, and efficient movement of vehicles. Geometric design encompasses horizontal alignment (curves), vertical alignment (gradients and vertical curves), sight distances, and cross-sectional elements such as lane widths, shoulders, and median widths. Pavement design involves determining the thickness and composition of surface, base, and sub-base layers to carry traffic loads over the design life without failure; Indian standards are governed by IRC codes.
Lc = V² / (225 × (e + f))
LaTeX: L_c = \frac{V^2}{225 \cdot e + f}
| Symbol | Meaning | Unit |
|---|---|---|
| L_c | Minimum radius of horizontal curve | m |
| V | Design speed | km/h |
| e | Superelevation (camber on curve) | m/m (fraction) |
| f | Coefficient of lateral friction | dimensionless |
Problem
A National Highway has a design speed of 100 km/h. Using a maximum superelevation e = 0.07 and lateral friction coefficient f = 0.12, find the minimum radius of horizontal curve.
Solution
Minimum radius: R = V² / (225 × (e + f)) = 100² / (225 × (0.07 + 0.12)) = 10,000 / (225 × 0.19) = 10,000 / 42.75 = 233.9 m.
Answer
Minimum radius R ≈ 234 m (IRC SP:73 recommends 360 m for V = 100 km/h for safety)
| Road Class | Design Speed (km/h) | Min. Radius (m) | Max. Gradient (%) |
|---|---|---|---|
| Expressway | 120 | 400 | 3.3 |
| National Highway | 100 | 360 | 5.0 |
| State Highway | 80 | 229 | 5.0 |
| Major District Road | 65 | 150 | 6.0 |
| Village Road | 50 | 90 | 7.0 |
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