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Trapezoidal Formula for Series of Cross-Section of Road Formula

GoMid Sectional Area Method Formula

GoMean Sectional Area Method Formula

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Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk. Check FAQs

V earthwork = D consecutive c/s \cdot \frac{A 1st + A last + 2 \cdot (Σ Remaining areas)}{2}

V_earthwork - Volume of Earthwork?D_{consecutive c/s} - Distance between Consecutive Sections?A_1st - Area of First Section?A_last - Area of Last Section?Σ Remaining areas - Remaining areas?

Trapezoidal Formula for Series of Cross-Section of Road Example

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Here is how the Trapezoidal Formula for Series of Cross-Section of Road equation looks like with Values.

Here is how the Trapezoidal Formula for Series of Cross-Section of Road equation looks like with Units.

Here is how the Trapezoidal Formula for Series of Cross-Section of Road equation looks like.

324 = 9000 \cdot \frac{7 + 17 + 2 \cdot (24)}{2}

324m³ = 9000mm \cdot \frac{7m² + 17m² + 2 \cdot (24m²)}{2}

324 = 9000 \cdot \frac{7 + 17 + 2 \cdot (24)}{2}

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Trapezoidal Formula for Series of Cross-Section of Road Solution

Follow our step by step solution on how to calculate Trapezoidal Formula for Series of Cross-Section of Road?

FIRST Step Consider the formula

V earthwork = D consecutive c/s \cdot \frac{A 1st + A last + 2 \cdot (Σ Remaining areas)}{2}

Next Step Substitute values of Variables

∴

V earthwork = 9000mm \cdot \frac{7m² + 17m² + 2 \cdot (24m²)}{2}

Next Step Convert Units

∴

V earthwork = 9m \cdot \frac{7m² + 17m² + 2 \cdot (24m²)}{2}

Next Step Prepare to Evaluate

∴

V earthwork = 9 \cdot \frac{7 + 17 + 2 \cdot (24)}{2}

LAST Step Evaluate

∴

V earthwork = 324m³

Trapezoidal Formula for Series of Cross-Section of Road Formula Elements

Variables

Volume of Earthwork

Volume of Earthwork is measured in cubic meters without any allowance for an increase in bulk.

Symbol: V_earthwork

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Earthwork

Distance between Consecutive Sections

Distance between Consecutive Sections tells us the space between two consecutive cross sections of a given road.

Symbol: D_{consecutive c/s}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance between Consecutive Sections

Area of First Section

Area of First Section defines the area of 1st starting c/s of the embankment.

Symbol: A_1st

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of First Section

Area of Last Section

Area of Last Section defines the area of the last cross-section of the embankment.

Symbol: A_last

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Last Section

Remaining areas

Remaining areas will be the summed value of areas of c/s excluding that areas of first and last c/s in embankment.

Symbol: Σ Remaining areas

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Remaining areas

Credits

Created by Smriti Singh

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

Smriti Singh has created this Formula and 25+ more formulas!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

Ayush Singh has verified this Formula and 100+ more formulas!

Other Formulas to find Volume of Earthwork

Go Mid Sectional Area Method

V earthwork = L section \cdot (B \cdot (\frac{d 1 + d 2}{2})) + L section \cdot (S \cdot {(\frac{d 1 + d 2}{2})}^{2})

Go Mean Sectional Area Method

V earthwork = L section \cdot \frac{(B \cdot d 1) + (S \cdot {d 1}^{2}) + (B \cdot d 2) + (S \cdot {d 2}^{2})}{2}

Go Prizmoidal Formula for Series of Cross-Section of Road

V earthwork = \frac{D consecutive c/s}{3} \cdot (A 1st + A last + 4 \cdot (Σ Odd areas) + 2 \cdot (Σ Even areas))

Other formulas in Quantity of Earthwork for Embankments category

Go Sloping Surface Area of Embankment

A sloping = L section \cdot d mean \cdot \sqrt{{(S)}^{2} + 1}

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

Trapezoidal Formula for Series of Cross-Section of Road evaluator uses Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2 to evaluate 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 evaluate Trapezoidal Formula for Series of Cross-Section of Road using this online evaluator? To use this online evaluator 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.

FAQs on Trapezoidal Formula for Series of Cross-Section of Road

What is the formula to find Trapezoidal Formula for Series of Cross-Section of Road?

The formula of Trapezoidal Formula for Series of Cross-Section of Road is expressed as Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2. Here is an example- 324 = 9*(7+17+2*(24))/2.

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

With 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) we can find Trapezoidal Formula for Series of Cross-Section of Road using the formula - Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2.

What are the other ways to Calculate Volume of Earthwork?

Here are the different ways to Calculate Volume of Earthwork-

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))

Can the Trapezoidal Formula for Series of Cross-Section of Road be negative?

No, the Trapezoidal Formula for Series of Cross-Section of Road, measured in Volume cannot be negative.

Which unit is used to measure Trapezoidal Formula for Series of Cross-Section of Road?

Trapezoidal Formula for Series of Cross-Section of Road is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Trapezoidal Formula for Series of Cross-Section of Road can be measured.

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Trapezoidal Formula for Series of Cross-Section of Road Formula

​GoMid Sectional Area Method Formula

​GoMean Sectional Area Method Formula

Trapezoidal Formula for Series of Cross-Section of Road Example

Trapezoidal Formula for Series of Cross-Section of Road Solution

Trapezoidal Formula for Series of Cross-Section of Road Formula Elements

Credits

Other Formulas to find Volume of Earthwork

Other formulas in Quantity of Earthwork for Embankments category

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

FAQs on Trapezoidal Formula for Series of Cross-Section of Road

Variable Name

GoMid Sectional Area Method Formula

GoMean Sectional Area Method Formula