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

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Quantity of Earthwork for Embankments Building Estimation

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Quantity of Earthwork in Hill Road

✖Length of Road Section is the total extent /stretch of the road.ⓘ Length of Road Section [L_section]			+10% -10%
✖Side Slope is the graded area immediately adjacent to the graded roadway shoulder. Side slopes are provided on embankments and fill to provide stability for earthworks.ⓘ Side Slope [S]			+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%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_earthwork = L_section*(S*b_half^2+r^2*(2*b_half*d_center+S*d_center^2))/(r^2-S^2)
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.
Side Slope - Side Slope is the graded area immediately adjacent to the graded roadway shoulder. Side slopes are provided on embankments and fill to provide stability for earthworks.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Road Section: 20000 Millimeter --> 20 Meter (Check conversion here)
Side Slope: 2 --> No Conversion Required
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

V_earthwork = 4480

STEP 3: Convert Result to Output's Unit

4480 Cubic Meter --> No Conversion Required

FINAL ANSWER

4480 Cubic Meter <-- Volume of Earthwork

(Calculation completed in 00.004 seconds)

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

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< Quantity of Earthwork in Hill Road Calculators

Quantity of Earthwork for Hilly Road Fully in Cutting or Banking

LaTeX 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

LaTeX 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

LaTeX 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 Fully in Cutting or Banking Formula

LaTeX Go

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 Fully in Cutting or Banking?

Quantity of Earthwork for Hilly Road Fully in Cutting or Banking calculator uses 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) to calculate the Volume of Earthwork, The Quantity of Earthwork for Hilly Road Fully in Cutting or Banking formula is defined as calculating the quantity of earthwork on a hill road where embankment is fully in cutting, or basically ground is having some cross slope. Volume of Earthwork is denoted by V_earthwork symbol.

How to calculate Quantity of Earthwork for Hilly Road Fully in Cutting or Banking using this online calculator? To use this online calculator for Quantity of Earthwork for Hilly Road Fully in Cutting or Banking, enter Length of Road Section (L_section), Side Slope (S), Half Width of Formation Level (b_half), Transverse Slope (r) & Depth of Cutting at Centre (d_center) and hit the calculate button. Here is how the Quantity of Earthwork for Hilly Road Fully in Cutting or Banking calculation can be explained with given input values -> 4480 = 20*(2*6^2+2.5^2*(2*6*3.6+2*3.6^2))/(2.5^2-2^2).

FAQ

What is Quantity of Earthwork for Hilly Road Fully in Cutting or Banking?

The Quantity of Earthwork for Hilly Road Fully in Cutting or Banking formula is defined as calculating the quantity of earthwork on a hill road where embankment is fully in cutting, or basically ground is having some cross slope and is represented as V_earthwork = L_section*(S*b_half^2+r^2*(2*b_half*d_center+S*d_center^2))/(r^2-S^2) or 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). Length of Road Section is the total extent /stretch of the road, Side Slope is the graded area immediately adjacent to the graded roadway shoulder. Side slopes are provided on embankments and fill to provide stability for earthworks, 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.

How to calculate Quantity of Earthwork for Hilly Road Fully in Cutting or Banking?

The Quantity of Earthwork for Hilly Road Fully in Cutting or Banking formula is defined as calculating the quantity of earthwork on a hill road where embankment is fully in cutting, or basically ground is having some cross slope is calculated using 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). To calculate Quantity of Earthwork for Hilly Road Fully in Cutting or Banking, you need Length of Road Section (L_section), Side Slope (S), Half Width of Formation Level (b_half), Transverse Slope (r) & Depth of Cutting at Centre (d_center). With our tool, you need to enter the respective value for Length of Road Section, Side Slope, Half Width of Formation Level, Transverse Slope & Depth of Cutting at Centre 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, Side Slope, Half Width of Formation Level, Transverse Slope & Depth of Cutting at Centre. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))
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))

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