Quantity of Earthwork for Hilly Road Partially in Cutting Calculator

Earthwork Volume Formula:

\[ V_{earthwork} = \frac{L_{section} \times (b_{half} + r \times d_{center})^2}{2 \times (r - S_{cutting})} \]

Length of Road Section:

Half Width of Formation Level:

Transverse Slope:

Depth of Cutting at Centre:

Side Slope of Cutting:

Volume of Earthwork (m³):

1. What is Earthwork Volume Calculation for Hilly Roads?

Definition: This calculator estimates the volume of earthwork required for hilly road construction where the road is partially in cutting.

Purpose: It helps civil engineers and construction professionals determine the quantity of earth to be excavated or filled for road projects in hilly terrain.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{earthwork} = \frac{L_{section} \times (b_{half} + r \times d_{center})^2}{2 \times (r - S_{cutting})} \]

Where:

\( V_{earthwork} \) — Volume of earthwork (cubic meters)
\( L_{section} \) — Length of road section (meters)
\( b_{half} \) — Half width of formation level (meters)
\( r \) — Transverse slope (as percentage)
\( d_{center} \) — Depth of cutting at center (meters)
\( S_{cutting} \) — Side slope of cutting (as percentage)

Explanation: The formula accounts for the road geometry, ground slope, and cutting parameters to calculate the exact earthwork volume.

3. Importance of Earthwork Calculation

Details: Accurate earthwork estimation is crucial for project planning, cost estimation, and resource allocation in road construction projects.

4. Using the Calculator

Tips: Enter all required dimensions. Slope values should be entered as percentages (e.g., 2.5% slope). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is transverse slope?
A: Transverse slope refers to the cross slope of the natural ground perpendicular to the road alignment.

Q2: How is side slope different from transverse slope?
A: Side slope refers to the designed slope of the cutting portion, while transverse slope is the natural ground slope.

Q3: Why is half width used instead of full width?
A: The formula calculates volume for one side of the road centerline, so half width is sufficient as the calculation is symmetrical.

Q4: Can this be used for embankment calculations?
A: This specific formula is for cutting sections. Different formulas apply for embankment sections.

Q5: How accurate are these calculations?
A: The calculations provide theoretical volumes. Actual quantities may vary due to ground conditions and compaction factors.