Quantity of Earthwork for Hilly Road Partially in Cutting Calculator

✖Length of Road Section is the total extent /stretch of the road.ⓘ Length of Road Section [L_section]			+10% -10%
✖Half Width of Formation Level is defined as the value which we get after dividing the total formation level width by 2.ⓘ Half Width of Formation Level [b_half]			+10% -10%
✖Transverse slope is defined as cross slope of ground.ⓘ Transverse Slope [r]			+10% -10%
✖Depth of Cutting at Centre is the height of the bank at the center point of the cross-section of the road.ⓘ Depth of Cutting at Centre [d_center]			+10% -10%
✖Side Slope of Cutting is the value of the slope of the portion in cutting on a hilly road in partial cutting and banking.ⓘ Side Slope of Cutting [S_cutting]			+10% -10%

✖Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.ⓘ Quantity of Earthwork for Hilly Road Partially in Cutting [V_earthwork]

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Formula

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Quantity of Earthwork for Hilly Road Partially in Cutting

Formula

`"V"_{"earthwork "} = "L"_{"section"}*(("b"_{"half"}+"r"*"d"_{"center"})^2)/(2*("r"-"S"_{"cutting"}))`

Example

`"2250m³"="20000mm"*(("6000mm"+"2.5"*"3600mm")^2)/(2*("2.5"-"1.5"))`

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Quantity of Earthwork for Hilly Road Partially in Cutting Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Earthwork = Length of Road Section*((Half Width of Formation Level+Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Cutting))
V_earthwork = L_section*((b_half+r*d_center)^2)/(2*(r-S_cutting))
This formula uses 6 Variables

Variables Used

Volume of Earthwork - (Measured in Cubic Meter) - Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.
Length of Road Section - (Measured in Meter) - Length of Road Section is the total extent /stretch of the road.
Half Width of Formation Level - (Measured in Meter) - Half Width of Formation Level is defined as the value which we get after dividing the total formation level width by 2.
Transverse Slope - Transverse slope is defined as cross slope of ground.
Depth of Cutting at Centre - (Measured in Meter) - Depth of Cutting at Centre is the height of the bank at the center point of the cross-section of the road.
Side Slope of Cutting - Side Slope of Cutting is the value of the slope of the portion in cutting on a hilly road in partial cutting and banking.

STEP 1: Convert Input(s) to Base Unit

Length of Road Section: 20000 Millimeter --> 20 Meter (Check conversion here)
Half Width of Formation Level: 6000 Millimeter --> 6 Meter (Check conversion here)
Transverse Slope: 2.5 --> No Conversion Required
Depth of Cutting at Centre: 3600 Millimeter --> 3.6 Meter (Check conversion here)
Side Slope of Cutting: 1.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_earthwork = L_section*((b_half+r*d_center)^2)/(2*(r-S_cutting)) --> 20*((6+2.5*3.6)^2)/(2*(2.5-1.5))

Evaluating ... ...

V_earthwork = 2250

STEP 3: Convert Result to Output's Unit

2250 Cubic Meter --> No Conversion Required

FINAL ANSWER

2250 Cubic Meter <-- Volume of Earthwork

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Estimation and Costing » Quantity of Earthwork for Embankments » Quantity of Earthwork in Hill Road » Quantity of Earthwork for Hilly Road Partially in Cutting

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Created by Smriti Singh

MIT Academy of engineering, Pune (MITAOE), Alandi, Pune

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Gautam Buddha University (GBU), Greater Noida

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< 3 Quantity of Earthwork in Hill Road Calculators

Quantity of Earthwork for Hilly Road Fully in Cutting or Banking

Go Volume of Earthwork = Length of Road Section*(Side Slope*Half Width of Formation Level^2+Transverse Slope^2*(2*Half Width of Formation Level*Depth of Cutting at Centre+Side Slope*Depth of Cutting at Centre^2))/(Transverse Slope^2-Side Slope^2)

Quantity of Earthwork for Hilly Road Partially in Banking

Go Volume of Earthwork = Length of Road Section*((Half Width of Formation Level-Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Banking))

Quantity of Earthwork for Hilly Road Partially in Cutting

Go Volume of Earthwork = Length of Road Section*((Half Width of Formation Level+Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Cutting))

Quantity of Earthwork for Hilly Road Partially in Cutting Formula

How is the Estimate of Earthwork made?

The estimate of earthwork is made by taking cross-sections at regular intervals along the alignment, the ground is supposed to be uniform in between each of the two cross-sections. The quantities of earthwork are calculated between each of the successive cross sections and added together to get the total quantity.

How to Calculate Quantity of Earthwork for Hilly Road Partially in Cutting?

Quantity of Earthwork for Hilly Road Partially in Cutting calculator uses Volume of Earthwork = Length of Road Section*((Half Width of Formation Level+Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Cutting)) to calculate the Volume of Earthwork, The Quantity of Earthwork for Hilly Road Partially in Cutting formula is defined as calculating the quantity of earthwork in the cutting portion of a road, where some part is in banking and some part is in cutting. Volume of Earthwork is denoted by V_earthwork symbol.

How to calculate Quantity of Earthwork for Hilly Road Partially in Cutting using this online calculator? To use this online calculator for Quantity of Earthwork for Hilly Road Partially in Cutting, enter Length of Road Section (L_section), Half Width of Formation Level (b_half), Transverse Slope (r), Depth of Cutting at Centre (d_center) & Side Slope of Cutting (S_cutting) and hit the calculate button. Here is how the Quantity of Earthwork for Hilly Road Partially in Cutting calculation can be explained with given input values -> 2250 = 20*((6+2.5*3.6)^2)/(2*(2.5-1.5)).

FAQ

What is Quantity of Earthwork for Hilly Road Partially in Cutting?

The Quantity of Earthwork for Hilly Road Partially in Cutting formula is defined as calculating the quantity of earthwork in the cutting portion of a road, where some part is in banking and some part is in cutting and is represented as V_earthwork = L_section*((b_half+r*d_center)^2)/(2*(r-S_cutting)) or Volume of Earthwork = Length of Road Section*((Half Width of Formation Level+Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Cutting)). Length of Road Section is the total extent /stretch of the road, Half Width of Formation Level is defined as the value which we get after dividing the total formation level width by 2, Transverse slope is defined as cross slope of ground, Depth of Cutting at Centre is the height of the bank at the center point of the cross-section of the road & Side Slope of Cutting is the value of the slope of the portion in cutting on a hilly road in partial cutting and banking.

How to calculate Quantity of Earthwork for Hilly Road Partially in Cutting?

The Quantity of Earthwork for Hilly Road Partially in Cutting formula is defined as calculating the quantity of earthwork in the cutting portion of a road, where some part is in banking and some part is in cutting is calculated using Volume of Earthwork = Length of Road Section*((Half Width of Formation Level+Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Cutting)). To calculate Quantity of Earthwork for Hilly Road Partially in Cutting, you need Length of Road Section (L_section), Half Width of Formation Level (b_half), Transverse Slope (r), Depth of Cutting at Centre (d_center) & Side Slope of Cutting (S_cutting). With our tool, you need to enter the respective value for Length of Road Section, Half Width of Formation Level, Transverse Slope, Depth of Cutting at Centre & Side Slope of Cutting and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Earthwork?

In this formula, Volume of Earthwork uses Length of Road Section, Half Width of Formation Level, Transverse Slope, Depth of Cutting at Centre & Side Slope of Cutting. We can use 2 other way(s) to calculate the same, which is/are as follows -

Volume of Earthwork = Length of Road Section*(Side Slope*Half Width of Formation Level^2+Transverse Slope^2*(2*Half Width of Formation Level*Depth of Cutting at Centre+Side Slope*Depth of Cutting at Centre^2))/(Transverse Slope^2-Side Slope^2)
Volume of Earthwork = Length of Road Section*((Half Width of Formation Level-Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Banking))

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