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Quantity of Earthwork for Hilly Road Partially in Banking Formula

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

GoQuantity of Earthwork for Hilly Road Partially in Cutting 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 banking)}

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_banking - Side Slope of Banking?

Quantity of Earthwork for Hilly Road Partially in Banking Example

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

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

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

360 = 20000 \cdot \frac{{(6000 - 2.5 \cdot 3600)}^{2}}{2 \cdot (2.5 - 2.25)}

360m³ = 20000mm \cdot \frac{{(6000mm - 2.5 \cdot 3600mm)}^{2}}{2 \cdot (2.5 - 2.25)}

360 = 20000 \cdot \frac{{(6000 - 2.5 \cdot 3600)}^{2}}{2 \cdot (2.5 - 2.25)}

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Quantity of Earthwork for Hilly Road Partially in Banking Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V earthwork = 20000mm \cdot \frac{{(6000mm - 2.5 \cdot 3600mm)}^{2}}{2 \cdot (2.5 - 2.25)}

Next Step Convert Units

∴

V earthwork = 20m \cdot \frac{{(6m - 2.5 \cdot 3.6m)}^{2}}{2 \cdot (2.5 - 2.25)}

Next Step Prepare to Evaluate

∴

V earthwork = 20 \cdot \frac{{(6 - 2.5 \cdot 3.6)}^{2}}{2 \cdot (2.5 - 2.25)}

LAST Step Evaluate

∴

V earthwork = 360m³

Quantity of Earthwork for Hilly Road Partially in Banking 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 Banking

Side Slope of Banking is the value of the slope of the banked portion of embankment on a hilly road which is partially in cutting and banking.

Symbol: S_banking

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Side Slope of Banking

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 Cutting

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

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

Quantity of Earthwork for Hilly Road Partially in Banking 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 Banking)) to evaluate the Volume of Earthwork, The Quantity of Earthwork for Hilly Road Partially in Banking formula is defined as calculating the quantity of earthwork needed for the banking 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 Banking using this online evaluator? To use this online evaluator for Quantity of Earthwork for Hilly Road Partially in Banking, 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 Banking (S_banking) and hit the calculate button.

FAQs on Quantity of Earthwork for Hilly Road Partially in Banking

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

The formula of Quantity of Earthwork for Hilly Road Partially in Banking 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 Banking)). Here is an example- 360 = 20*((6-2.5*3.6)^2)/(2*(2.5-2.25)).

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

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 Banking (S_banking) we can find Quantity of Earthwork for Hilly Road Partially in Banking 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 Banking)).

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 Cutting))

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

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

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

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

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Quantity of Earthwork for Hilly Road Partially in Banking Formula

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

​GoQuantity of Earthwork for Hilly Road Partially in Cutting Formula

Quantity of Earthwork for Hilly Road Partially in Banking Example

Quantity of Earthwork for Hilly Road Partially in Banking Solution

Quantity of Earthwork for Hilly Road Partially in Banking Formula Elements

Other Formulas to find Volume of Earthwork

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

FAQs on Quantity of Earthwork for Hilly Road Partially in Banking

Variable Name

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

GoQuantity of Earthwork for Hilly Road Partially in Cutting Formula