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Trapezoidal Formula for Series of Cross-Section of Road Calculator

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Quantity of Earthwork for Embankments Building Estimation

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Quantity of Earthwork in Hill Road

✖Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road.ⓘ Distance between Consecutive Sections [D_{consecutive c/s}]			+10% -10%
✖Area of First Section defines the area of 1st starting c/s of the embankment.ⓘ Area of First Section [A_1st]			+10% -10%
✖Area of Last Section defines the area of the last cross-section of the embankment.ⓘ Area of Last Section [A_last]			+10% -10%
✖Remaining areas will be the summed value of areas of c/s excluding that areas of first and last c/s in embankment.ⓘ Remaining areas [Σ Remaining areas]			+10% -10%

✖Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.ⓘ Trapezoidal Formula for Series of Cross-Section of Road [V_earthwork]

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Trapezoidal Formula for Series of Cross-Section of Road Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2
V_earthwork = D_{consecutive c/s}*(A_1st+A_last+2*(Σ Remaining areas))/2
This formula uses 5 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.
Distance between Consecutive Sections - (Measured in Meter) - Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road.
Area of First Section - (Measured in Square Meter) - Area of First Section defines the area of 1st starting c/s of the embankment.
Area of Last Section - (Measured in Square Meter) - Area of Last Section defines the area of the last cross-section of the embankment.
Remaining areas - (Measured in Square Meter) - Remaining areas will be the summed value of areas of c/s excluding that areas of first and last c/s in embankment.

STEP 1: Convert Input(s) to Base Unit

Distance between Consecutive Sections: 9000 Millimeter --> 9 Meter (Check conversion here)
Area of First Section: 7 Square Meter --> 7 Square Meter No Conversion Required
Area of Last Section: 17 Square Meter --> 17 Square Meter No Conversion Required
Remaining areas: 24 Square Meter --> 24 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_earthwork = D_{consecutive c/s}*(A_1st+A_last+2*(Σ Remaining areas))/2 --> 9*(7+17+2*(24))/2

Evaluating ... ...

V_earthwork = 324

STEP 3: Convert Result to Output's Unit

324 Cubic Meter --> No Conversion Required

FINAL ANSWER

324 Cubic Meter <-- Volume of Earthwork

(Calculation completed in 00.020 seconds)

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< Quantity of Earthwork for Embankments Calculators

Mean Sectional Area Method

LaTeX Go Volume of Earthwork = Length of Road Section*((Width of Formation Level*Height of Bank at Start Portion of Embankment)+(Side Slope*Height of Bank at Start Portion of Embankment^2)+(Width of Formation Level*Height of Bank at End Portion of Embankment)+(Side Slope*Height of Bank at End Portion of Embankment^2))/2

Mid Sectional Area Method

LaTeX Go Volume of Earthwork = Length of Road Section*(Width of Formation Level*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2))+Length of Road Section*(Side Slope*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2)^2)

Prizmoidal Formula for Series of Cross-Section of Road

LaTeX Go Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum))

Trapezoidal Formula for Series of Cross-Section of Road

LaTeX Go Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2

Trapezoidal Formula for Series of Cross-Section of Road Formula

LaTeX Go

Trapezoidal Formula

One of the most widely applied formula for earthwork quantity estimation of embankment at site.
In order to apply the prismoidal formula, it is necessary to have odd number of sections giving the areas. If there be even areas, the prismoidal formula may be applied to odd number of areas and the volume between the last two sections may be obtained separately by trapezoidal formula and added.

How to Calculate Trapezoidal Formula for Series of Cross-Section of Road?

Trapezoidal Formula for Series of Cross-Section of Road calculator uses Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2 to calculate the Volume of Earthwork, The Trapezoidal Formula for Series of Cross-Section of Road formula is defined as calculating the quantity of earthwork required for a series of cross-sections of an embankment. Volume of Earthwork is denoted by V_earthwork symbol.

How to calculate Trapezoidal Formula for Series of Cross-Section of Road using this online calculator? To use this online calculator for Trapezoidal Formula for Series of Cross-Section of Road, enter Distance between Consecutive Sections (D_{consecutive c/s}), Area of First Section (A_1st), Area of Last Section (A_last) & Remaining areas (Σ Remaining areas) and hit the calculate button. Here is how the Trapezoidal Formula for Series of Cross-Section of Road calculation can be explained with given input values -> 324 = 9*(7+17+2*(24))/2.

FAQ

What is Trapezoidal Formula for Series of Cross-Section of Road?

The Trapezoidal Formula for Series of Cross-Section of Road formula is defined as calculating the quantity of earthwork required for a series of cross-sections of an embankment and is represented as V_earthwork = D_{consecutive c/s}*(A_1st+A_last+2*(Σ Remaining areas))/2 or Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2. Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road, Area of First Section defines the area of 1st starting c/s of the embankment, Area of Last Section defines the area of the last cross-section of the embankment & Remaining areas will be the summed value of areas of c/s excluding that areas of first and last c/s in embankment.

How to calculate Trapezoidal Formula for Series of Cross-Section of Road?

The Trapezoidal Formula for Series of Cross-Section of Road formula is defined as calculating the quantity of earthwork required for a series of cross-sections of an embankment is calculated using Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2. To calculate Trapezoidal Formula for Series of Cross-Section of Road, you need Distance between Consecutive Sections (D_{consecutive c/s}), Area of First Section (A_1st), Area of Last Section (A_last) & Remaining areas (Σ Remaining areas). With our tool, you need to enter the respective value for Distance between Consecutive Sections, Area of First Section, Area of Last Section & Remaining areas 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 Distance between Consecutive Sections, Area of First Section, Area of Last Section & Remaining areas. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Earthwork = Length of Road Section*(Width of Formation Level*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2))+Length of Road Section*(Side Slope*((Height of Bank at Start Portion of Embankment+Height of Bank at End Portion of Embankment)/2)^2)
Volume of Earthwork = Length of Road Section*((Width of Formation Level*Height of Bank at Start Portion of Embankment)+(Side Slope*Height of Bank at Start Portion of Embankment^2)+(Width of Formation Level*Height of Bank at End Portion of Embankment)+(Side Slope*Height of Bank at End Portion of Embankment^2))/2
Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum))

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