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Sloping Surface Area of Embankment Formula

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Sloping Surface Area is defined as the area of the sloping face of an embankment. Check FAQs

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

A_sloping - Sloping Surface Area?L_section - Length of Road Section?d_mean - Mean Height?S - Side Slope?

Sloping Surface Area of Embankment Example

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Here is how the Sloping Surface Area of Embankment equation looks like with Values.

Here is how the Sloping Surface Area of Embankment equation looks like with Units.

Here is how the Sloping Surface Area of Embankment equation looks like.

223.6068 = 20000 \cdot 5000 \cdot \sqrt{{(2)}^{2} + 1}

223.6068m² = 20000mm \cdot 5000mm \cdot \sqrt{{(2)}^{2} + 1}

223.6068 = 20000 \cdot 5000 \cdot \sqrt{{(2)}^{2} + 1}

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Sloping Surface Area of Embankment Solution

Follow our step by step solution on how to calculate Sloping Surface Area of Embankment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A sloping = 20000mm \cdot 5000mm \cdot \sqrt{{(2)}^{2} + 1}

Next Step Convert Units

∴

A sloping = 20m \cdot 5m \cdot \sqrt{{(2)}^{2} + 1}

Next Step Prepare to Evaluate

∴

A sloping = 20 \cdot 5 \cdot \sqrt{{(2)}^{2} + 1}

Next Step Evaluate

∴

A sloping = 223.606797749979m²

LAST Step Rounding Answer

∴

A sloping = 223.6068m²

Sloping Surface Area of Embankment Formula Elements

Variables

Functions

Sloping Surface Area

Sloping Surface Area is defined as the area of the sloping face of an embankment.

Symbol: A_sloping

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Sloping Surface Area

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

Mean Height

Mean Height is defined as the sum total of all the heights divided by the total number of heights given.

Symbol: d_mean

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Mean Height

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Quantity of Earthwork for Embankments category

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))

Go Trapezoidal Formula for Series of Cross-Section of Road

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

How to Evaluate Sloping Surface Area of Embankment?

Sloping Surface Area of Embankment evaluator uses Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1) to evaluate the Sloping Surface Area, The Sloping Surface Area of Embankment formula is defined as calculating the area of the sloping face of the embankment for a given length. Sloping Surface Area is denoted by A_sloping symbol.

How to evaluate Sloping Surface Area of Embankment using this online evaluator? To use this online evaluator for Sloping Surface Area of Embankment, enter Length of Road Section (L_section), Mean Height (d_mean) & Side Slope (S) and hit the calculate button.

FAQs on Sloping Surface Area of Embankment

What is the formula to find Sloping Surface Area of Embankment?

The formula of Sloping Surface Area of Embankment is expressed as Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1). Here is an example- 223.6068 = 20*5*sqrt((2)^2+1).

How to calculate Sloping Surface Area of Embankment?

With Length of Road Section (L_section), Mean Height (d_mean) & Side Slope (S) we can find Sloping Surface Area of Embankment using the formula - Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1). This formula also uses Square Root (sqrt) function(s).

Can the Sloping Surface Area of Embankment be negative?

No, the Sloping Surface Area of Embankment, measured in Area cannot be negative.

Which unit is used to measure Sloping Surface Area of Embankment?

Sloping Surface Area of Embankment is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Sloping Surface Area of Embankment can be measured.

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Sloping Surface Area of Embankment Formula

Sloping Surface Area of Embankment Example

Sloping Surface Area of Embankment Solution

Sloping Surface Area of Embankment Formula Elements

Other formulas in Quantity of Earthwork for Embankments category

How to Evaluate Sloping Surface Area of Embankment?

FAQs on Sloping Surface Area of Embankment

Variable Name