Quantity of Earthwork for Hilly Road Fully in Cutting or Banking Calculator

Earthwork Volume Formula:

\[ V = \frac{L \times (S \times b^2 + r^2 \times (2 \times b \times d + S \times d^2))}{r^2 - S^2} \]

Length of Road Section:

Side Slope:

Half Width of Formation Level:

Transverse Slope:

Depth of Cutting at Centre:

Earthwork Volume (m³):

1. What is Earthwork Calculation for Hilly Roads?

Definition: This calculator estimates the volume of earthwork required for hilly road construction, whether fully in cutting or banking.

Purpose: It helps civil engineers and construction professionals accurately plan earthwork quantities for hilly road projects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V = \frac{L \times (S \times b^2 + r^2 \times (2 \times b \times d + S \times d^2))}{r^2 - S^2} \]

Where:

\( V \) — Volume of earthwork (cubic meters)
\( L \) — Length of road section (meters)
\( S \) — Side slope (as a decimal)
\( b \) — Half width of formation level (meters)
\( r \) — Transverse slope (as a decimal)
\( d \) — Depth of cutting at center (meters)

Explanation: The formula accounts for the complex geometry of hilly terrain and the relationship between side slopes, transverse slopes, and cutting depths.

3. Importance of Earthwork Calculation

Details: Accurate earthwork calculation is crucial for project costing, resource allocation, and minimizing environmental impact in hilly terrain.

4. Using the Calculator

Tips: Enter all required dimensions. Note that slope values are entered as percentages but converted to decimals in calculations. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between cutting and banking?
A: Cutting involves excavating material from hills, while banking involves building up embankments with fill material.

Q2: Why are slopes entered as percentages?
A: Slope percentages are more intuitive (e.g., 2% = 2 units vertical per 100 units horizontal).

Q3: What's a typical side slope value?
A: Common side slopes range from 1.5% to 3% depending on soil type and stability requirements.

Q4: How do I measure transverse slope?
A: It's the cross slope of the natural ground perpendicular to the road centerline.

Q5: Does this account for material compaction?
A: No, the calculated volume is in-situ. For compacted fill, apply appropriate bulking factors.