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Area Calculation - Nett Area Method

Nett Area is the Cutting/Filling area that is calculated by finding out the difference between the total area from zero base line defined by the Initial Level and the total area from zero base line defined by the final level. While calculating the area using this method, the area is  once again calculated by dividing the total area into smaller trapezoids.

Example 2: Earthwork Area Calculation Nett Area
Earthwork Area Calculation Nett Area
Earthwork Area Calculation Nett Area
Earthwork Area Calculation Nett Area
Cutting Calculation
Sl. No.

Easting

Initial Level

Consider Level

Calculation

Area(Sq. meters)

1

345

20.70

20.70

2

348

20.50

20.50

Segment 1: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.70 + 20.50) * 3

61.80

3

351

20.10

20.10

Segment 2: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.50 + 20.10) * 3

60.90

4

352

20.00

20.00

Segment 3: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.10 + 20.00) * 1

20.05

5

354

19.80

20.00

Segment 4: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 2

40.00

6

357

19.40

20.00

Segment 5: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 3

60.00

7

360

19.10

20.00

Segment 6: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 3

60.00

8

363

19.00

20.00

Segment 7: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 3

60.00

362.75

Area of final level = 6 trapezoids = ½*(20.00+20.00)*3 = 6 * 60 = 360 Cutting Area = 362.75 – 360 = 2.75

Filling Calculation
Sl. No.

Easting

Initial Level

Consider Level

Calculation

Area(Sq. meters)

1

345

20.70

20.00

2

348

20.50

20.00

Segment 1: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 3

60.00

3

351

20.10

20.00

Segment 2: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 3

60.00

4

352

20.00

20.00

Segment 3: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 20.00) * 1

20.00

5

354

19.80

19.80

Segment 4: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (20.00 + 19.80) * 2

39.80

6

357

19.40

19.40

Segment 5: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (19.80 + 19.40) * 3

58.80

7

360

19.10

19.10

Segment 6: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (19.40 + 19.10) * 3

57.75

8

363

19.00

19.00

Segment 7: Area of Trapezoid = ½ * (b1 + b2) * a = ½ * (19.10 + 19.00) * 3

57.15

353.50

Area of final level = 6 trapezoids = ½*(20.00+20.00)*3 = 6 * 60 = 360 Filling Area = 360.00 – 353.50 = 6.50

Section - Trapezoidal Rule (End Area)   Section - Simpsons 1/3rd Rule