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Quantity of Earthwork for Hilly Road Partially in Cutting Formula

GoQuantity of Earthwork for Hilly Road Fully in Cutting or Banking Formula

GoQuantity of Earthwork for Hilly Road Partially in Banking 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 = L section \cdot \frac{{(b half + r \cdot d center)}^{2}}{2 \cdot (r - S cutting)}

V_earthwork - Volume of Earthwork?L_section - Length of Road Section?b_half - Half Width of Formation Level?r - Transverse Slope?d_center - Depth of Cutting at Centre?S_cutting - Side Slope of Cutting?

Quantity of Earthwork for Hilly Road Partially in Cutting Example

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Here is how the Quantity of Earthwork for Hilly Road Partially in Cutting equation looks like with Values.

Here is how the Quantity of Earthwork for Hilly Road Partially in Cutting equation looks like with Units.

Here is how the Quantity of Earthwork for Hilly Road Partially in Cutting equation looks like.

2250 = 20000 \cdot \frac{{(6000 + 2.5 \cdot 3600)}^{2}}{2 \cdot (2.5 - 1.5)}

2250m³ = 20000mm \cdot \frac{{(6000mm + 2.5 \cdot 3600mm)}^{2}}{2 \cdot (2.5 - 1.5)}

2250 = 20000 \cdot \frac{{(6000 + 2.5 \cdot 3600)}^{2}}{2 \cdot (2.5 - 1.5)}

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Quantity of Earthwork for Hilly Road Partially in Cutting Solution

Follow our step by step solution on how to calculate Quantity of Earthwork for Hilly Road Partially in Cutting?

FIRST Step Consider the formula

V earthwork = L section \cdot \frac{{(b half + r \cdot d center)}^{2}}{2 \cdot (r - S cutting)}

Next Step Substitute values of Variables

∴

V earthwork = 20000mm \cdot \frac{{(6000mm + 2.5 \cdot 3600mm)}^{2}}{2 \cdot (2.5 - 1.5)}

Next Step Convert Units

∴

V earthwork = 20m \cdot \frac{{(6m + 2.5 \cdot 3.6m)}^{2}}{2 \cdot (2.5 - 1.5)}

Next Step Prepare to Evaluate

∴

V earthwork = 20 \cdot \frac{{(6 + 2.5 \cdot 3.6)}^{2}}{2 \cdot (2.5 - 1.5)}

LAST Step Evaluate

∴

V earthwork = 2250m³

Quantity of Earthwork for Hilly Road Partially in Cutting 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

Length of Road Section

Length of Road Section is the total extent /stretch of the road.

Symbol: L_section

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Road Section

Half Width of Formation Level

Half Width of Formation Level is defined as the value which we get after dividing the total formation level width by 2.

Symbol: b_half

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Half Width of Formation Level

Transverse Slope

Transverse slope is defined as cross slope of ground.

Symbol: r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Transverse Slope

Depth of Cutting at Centre

Depth of Cutting at Centre is the height of the bank at the center point of the cross-section of the road.

Symbol: d_center

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Cutting at Centre

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.

Symbol: S_cutting

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Side Slope of Cutting

Other Formulas to find Volume of Earthwork

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

V earthwork = L section \cdot \frac{S \cdot {b half}^{2} + r^{2} \cdot (2 \cdot b half \cdot d center + S \cdot {d center}^{2})}{r^{2} - S^{2}}

Go Quantity of Earthwork for Hilly Road Partially in Banking

V earthwork = L section \cdot \frac{{(b half - r \cdot d center)}^{2}}{2 \cdot (r - S banking)}

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

Quantity of Earthwork for Hilly Road Partially in Cutting evaluator 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 evaluate 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 evaluate Quantity of Earthwork for Hilly Road Partially in Cutting using this online evaluator? To use this online evaluator 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.

FAQs on Quantity of Earthwork for Hilly Road Partially in Cutting

What is the formula to find Quantity of Earthwork for Hilly Road Partially in Cutting?

The formula of Quantity of Earthwork for Hilly Road Partially in Cutting is expressed as 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)). Here is an example- 2250 = 20*((6+2.5*3.6)^2)/(2*(2.5-1.5)).

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

With 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) we can find Quantity of Earthwork for Hilly Road Partially in Cutting using the formula - 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)).

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*(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))

Can the Quantity of Earthwork for Hilly Road Partially in Cutting be negative?

No, the Quantity of Earthwork for Hilly Road Partially in Cutting, measured in Volume cannot be negative.

Which unit is used to measure Quantity of Earthwork for Hilly Road Partially in Cutting?

Quantity of Earthwork for Hilly Road Partially in Cutting 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 Quantity of Earthwork for Hilly Road Partially in Cutting can be measured.

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Quantity of Earthwork for Hilly Road Partially in Cutting Formula

​GoQuantity of Earthwork for Hilly Road Fully in Cutting or Banking Formula

​GoQuantity of Earthwork for Hilly Road Partially in Banking Formula

Quantity of Earthwork for Hilly Road Partially in Cutting Example

Quantity of Earthwork for Hilly Road Partially in Cutting Solution

Quantity of Earthwork for Hilly Road Partially in Cutting Formula Elements

Other Formulas to find Volume of Earthwork

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

FAQs on Quantity of Earthwork for Hilly Road Partially in Cutting

Variable Name

GoQuantity of Earthwork for Hilly Road Fully in Cutting or Banking Formula

GoQuantity of Earthwork for Hilly Road Partially in Banking Formula