Calculate the quantity of earthwork for 200 m length for a portion of ...
To calculate the quantity of earthwork for a portion of road, we need to consider the heights of the banks at the two ends, the formation width, and the side slope. Let's break down the calculations step by step:
Given data:
- Length of road portion = 200 m
- Height of bank at one end = 1.00 m
- Height of bank at the other end = 1.60 m
- Formation width = 10 m
- Side slope = 2:1
Calculations:
1. Calculate the average height of the banks:
Average height = (Height of bank at one end + Height of bank at the other end) / 2
Average height = (1.00 + 1.60) / 2 = 1.30 m
2. Calculate the height of the formation level:
Formation level height = Average height - (Formation width / 2)
Formation level height = 1.30 - (10 / 2) = 1.30 - 5 = -3.70 m
Note: The negative sign indicates that the formation level is below the ground level.
3. Calculate the cross-sectional area of earthwork:
Cross-sectional area = (Formation width + 2 * Side slope * Formation level height) * Length
Cross-sectional area = (10 + 2 * (2/1) * (-3.70)) * 200
Cross-sectional area = (10 + 2 * 4 * (-3.70)) * 200
Cross-sectional area = (10 + 8 * (-3.70)) * 200
Cross-sectional area = (10 - 29.60) * 200
Cross-sectional area = (-19.60) * 200
Cross-sectional area = -3920 m²
Note: The negative sign indicates that the cross-sectional area is below the ground level.
4. Calculate the volume of earthwork:
Volume = Cross-sectional area * Length
Volume = -3920 * 200
Volume = -784,000 m³
Note: The negative sign indicates that the volume is below the ground level.
5. Adjust the volume to account for the negative sign:
Positive volume = |Volume|
Positive volume = |-784,000|
Positive volume = 784,000 m³
Therefore, the quantity of earthwork for a 200 m length portion of road is 784,000 m³. However, the given options do not match the calculated result. Please double-check the calculations or provide additional information if necessary.
Calculate the quantity of earthwork for 200 m length for a portion of ...
Quantity = (Bd+sd2) *length
Where, B=10 m, S=2, L=200 m, d=mean depth = (1+1.60)/2 = 1.30 m
Quantity = (10*1.3+2*1.32)*200 = (13=3.38)*200 = 16.38*200 = 3276 cu m.