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

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

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

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

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

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

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

4480 = 20000 \cdot \frac{2 \cdot 6000^{2} + {2.5}^{2} \cdot (2 \cdot 6000 \cdot 3600 + 2 \cdot 3600^{2})}{{2.5}^{2} - 2^{2}}

4480m³ = 20000mm \cdot \frac{2 \cdot {6000mm}^{2} + {2.5}^{2} \cdot (2 \cdot 6000mm \cdot 3600mm + 2 \cdot {3600mm}^{2})}{{2.5}^{2} - 2^{2}}

4480 = 20000 \cdot \frac{2 \cdot 6000^{2} + {2.5}^{2} \cdot (2 \cdot 6000 \cdot 3600 + 2 \cdot 3600^{2})}{{2.5}^{2} - 2^{2}}

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

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

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

V earthwork = 4480m³

Quantity of Earthwork for Hilly Road Fully in Cutting or 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

Side Slope

Side Slope is the graded area immediately adjacent to the graded roadway shoulder. Side slopes are provided on embankments and fill to provide stability for earthworks.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Side Slope

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

Other Formulas to find Volume of Earthwork

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)}

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 Fully in Cutting or Banking?

Quantity of Earthwork for Hilly Road Fully in Cutting or Banking evaluator uses 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) to evaluate the Volume of Earthwork, The Quantity of Earthwork for Hilly Road Fully in Cutting or Banking formula is defined as calculating the quantity of earthwork on a hill road where embankment is fully in cutting, or basically ground is having some cross slope. Volume of Earthwork is denoted by V_earthwork symbol.

How to evaluate Quantity of Earthwork for Hilly Road Fully in Cutting or Banking using this online evaluator? To use this online evaluator for Quantity of Earthwork for Hilly Road Fully in Cutting or Banking, enter Length of Road Section (L_section), Side Slope (S), Half Width of Formation Level (b_half), Transverse Slope (r) & Depth of Cutting at Centre (d_center) and hit the calculate button.

FAQs on Quantity of Earthwork for Hilly Road Fully in Cutting or Banking

What is the formula to find Quantity of Earthwork for Hilly Road Fully in Cutting or Banking?

The formula of Quantity of Earthwork for Hilly Road Fully in Cutting or Banking is expressed as 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). Here is an example- 4480 = 20*(2*6^2+2.5^2*(2*6*3.6+2*3.6^2))/(2.5^2-2^2).

How to calculate Quantity of Earthwork for Hilly Road Fully in Cutting or Banking?

With Length of Road Section (L_section), Side Slope (S), Half Width of Formation Level (b_half), Transverse Slope (r) & Depth of Cutting at Centre (d_center) we can find Quantity of Earthwork for Hilly Road Fully in Cutting or Banking using the formula - 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).

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*((Half Width of Formation Level-Transverse Slope*Depth of Cutting at Centre)^2)/(2*(Transverse Slope-Side Slope of Banking))
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 Fully in Cutting or Banking be negative?

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

Which unit is used to measure Quantity of Earthwork for Hilly Road Fully in Cutting or Banking?

Quantity of Earthwork for Hilly Road Fully in Cutting or 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 Fully in Cutting or Banking can be measured.

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

​GoQuantity of Earthwork for Hilly Road Partially in Banking Formula

​GoQuantity of Earthwork for Hilly Road Partially in Cutting Formula

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

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

Quantity of Earthwork for Hilly Road Fully in Cutting or Banking Formula Elements

Other Formulas to find Volume of Earthwork

How to Evaluate Quantity of Earthwork for Hilly Road Fully in Cutting or Banking?

FAQs on Quantity of Earthwork for Hilly Road Fully in Cutting or Banking

Variable Name

GoQuantity of Earthwork for Hilly Road Partially in Banking Formula

GoQuantity of Earthwork for Hilly Road Partially in Cutting Formula