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Sloping Surface Area of Embankment Calculator

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Quantity of Earthwork for Embankments Building Estimation

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Quantity of Earthwork in Hill Road

✖Length of Road Section is the total extent /stretch of the road.ⓘ Length of Road Section [L_section]			+10% -10%
✖Mean Height is defined as the sum total of all the heights divided by the total number of heights given.ⓘ Mean Height [d_mean]			+10% -10%
✖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.ⓘ Side Slope [S]			+10% -10%

✖Sloping Surface Area is defined as the area of the sloping face of an embankment.ⓘ Sloping Surface Area of Embankment [A_sloping]

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Sloping Surface Area of Embankment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1)
A_sloping = L_section*d_mean*sqrt((S)^2+1)
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

Sloping Surface Area - (Measured in Square Meter) - Sloping Surface Area is defined as the area of the sloping face of an embankment.
Length of Road Section - (Measured in Meter) - Length of Road Section is the total extent /stretch of the road.
Mean Height - (Measured in Meter) - Mean Height is defined as the sum total of all the heights divided by the total number of heights given.
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.

STEP 1: Convert Input(s) to Base Unit

Length of Road Section: 20000 Millimeter --> 20 Meter (Check conversion here)
Mean Height: 5000 Millimeter --> 5 Meter (Check conversion here)
Side Slope: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_sloping = L_section*d_mean*sqrt((S)^2+1) --> 20*5*sqrt((2)^2+1)

Evaluating ... ...

A_sloping = 223.606797749979

STEP 3: Convert Result to Output's Unit

223.606797749979 Square Meter --> No Conversion Required

FINAL ANSWER

223.606797749979 ≈ 223.6068 Square Meter <-- Sloping Surface Area

(Calculation completed in 00.004 seconds)

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Created by Smriti Singh

MIT Academy of engineering, Pune (MITAOE), Alandi, Pune

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Gautam Buddha University (GBU), Greater Noida

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< Quantity of Earthwork for Embankments Calculators

Mean Sectional Area Method

LaTeX Go 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

Mid Sectional Area Method

LaTeX Go 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)

Prizmoidal Formula for Series of Cross-Section of Road

LaTeX Go Volume of Earthwork = Distance between Consecutive Sections/3*(Area of First Section+Area of Last Section+4*(Odd Areas Sum)+2*(Even Areas Sum))

Trapezoidal Formula for Series of Cross-Section of Road

LaTeX Go Volume of Earthwork = Distance between Consecutive Sections*(Area of First Section+Area of Last Section+2*(Remaining areas))/2

Sloping Surface Area of Embankment Formula

LaTeX Go

Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1)
A_sloping = L_section*d_mean*sqrt((S)^2+1)

About formula for Sloping Surface Area of Embankment

This formula is used to calculate area of sloping surface of embankment of road, dam, canal in order to make a estimate that how much material would be needed for stone pitching, concreting, short-creating etc.

How to Calculate Sloping Surface Area of Embankment?

Sloping Surface Area of Embankment calculator uses Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1) to calculate 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 calculate Sloping Surface Area of Embankment using this online calculator? To use this online calculator 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. Here is how the Sloping Surface Area of Embankment calculation can be explained with given input values -> 223.6068 = 20*5*sqrt((2)^2+1).

FAQ

What is Sloping Surface Area of Embankment?

The Sloping Surface Area of Embankment formula is defined as calculating the area of the sloping face of the embankment for a given length and is represented as A_sloping = L_section*d_mean*sqrt((S)^2+1) or Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1). Length of Road Section is the total extent /stretch of the road, Mean Height is defined as the sum total of all the heights divided by the total number of heights given & 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.

How to calculate Sloping Surface Area of Embankment?

The Sloping Surface Area of Embankment formula is defined as calculating the area of the sloping face of the embankment for a given length is calculated using Sloping Surface Area = Length of Road Section*Mean Height*sqrt((Side Slope)^2+1). To calculate Sloping Surface Area of Embankment, you need Length of Road Section (L_section), Mean Height (d_mean) & Side Slope (S). With our tool, you need to enter the respective value for Length of Road Section, Mean Height & Side Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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