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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

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

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