Stability Number for Failure on Slope with Seepage of Water Calculator

✖Slope of Ground surface is the rise or fall of the land surface.ⓘ Slope of Ground [δ]			+10% -10%
✖Buoyant unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table.ⓘ Buoyant Unit Weight [γ_b]			+10% -10%
✖Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.ⓘ Angle of Internal Friction of Soil [Φ_i]			+10% -10%
✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%

✖Stability Number is a theoretical number given by Taylor.ⓘ Stability Number for Failure on Slope with Seepage of Water [S_n]

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Stability Number for Failure on Slope with Seepage of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-((Buoyant Unit Weight*tan(Angle of Internal Friction of Soil))/Saturated Unit Weight of Soil))
S_n = (cos(δ))^2*(tan(δ)-((γ_b*tan(Φ_i))/γ_saturated))
This formula uses 2 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Stability Number - Stability Number is a theoretical number given by Taylor.
Slope of Ground - (Measured in Radian) - Slope of Ground surface is the rise or fall of the land surface.
Buoyant Unit Weight - (Measured in Newton per Cubic Meter) - Buoyant unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table.
Angle of Internal Friction of Soil - (Measured in Radian) - Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.

STEP 1: Convert Input(s) to Base Unit

Slope of Ground: 87 Degree --> 1.51843644923478 Radian (Check conversion here)
Buoyant Unit Weight: 6 Kilonewton per Cubic Meter --> 6000 Newton per Cubic Meter (Check conversion here)
Angle of Internal Friction of Soil: 82.87 Degree --> 1.44635435112743 Radian (Check conversion here)
Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_n = (cos(δ))^2*(tan(δ)-((γ_b*tan(Φ_i))/γ_saturated)) --> (cos(1.51843644923478))^2*(tan(1.51843644923478)-((6000*tan(1.44635435112743))/11890))

Evaluating ... ...

S_n = 0.0412144704990858

STEP 3: Convert Result to Output's Unit

0.0412144704990858 --> No Conversion Required

FINAL ANSWER

0.0412144704990858 ≈ 0.041214 <-- Stability Number

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

LaTeX Go Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Weight of Soil Prism given Saturated Unit Weight

LaTeX Go Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Vertical Stress on Prism given Saturated Unit Weight

LaTeX Go Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Normal Stress Component given Saturated Unit Weight

LaTeX Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Stability Number for Failure on Slope with Seepage of Water Formula

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What is Stability Number?

Taylor proposed an analyzing method to find the stability of slope with the possible greatest angle of slope and angle of internal friction. This method represents the result using a theoretical number, which is called the stability number.

How to Calculate Stability Number for Failure on Slope with Seepage of Water?

Stability Number for Failure on Slope with Seepage of Water calculator uses Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-((Buoyant Unit Weight*tan(Angle of Internal Friction of Soil))/Saturated Unit Weight of Soil)) to calculate the Stability Number, The Stability Number for Failure on Slope with Seepage of Water is defined as a theoretical number given by taylor to find out stability of slopes. Stability Number is denoted by S_n symbol.

How to calculate Stability Number for Failure on Slope with Seepage of Water using this online calculator? To use this online calculator for Stability Number for Failure on Slope with Seepage of Water, enter Slope of Ground (δ), Buoyant Unit Weight (γ_b), Angle of Internal Friction of Soil (Φ_i) & Saturated Unit Weight of Soil (γ_saturated) and hit the calculate button. Here is how the Stability Number for Failure on Slope with Seepage of Water calculation can be explained with given input values -> 0.041214 = (cos(1.51843644923478))^2*(tan(1.51843644923478)-((6000*tan(1.44635435112743))/11890)).

FAQ

What is Stability Number for Failure on Slope with Seepage of Water?

The Stability Number for Failure on Slope with Seepage of Water is defined as a theoretical number given by taylor to find out stability of slopes and is represented as S_n = (cos(δ))^2*(tan(δ)-((γ_b*tan(Φ_i))/γ_saturated)) or Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-((Buoyant Unit Weight*tan(Angle of Internal Friction of Soil))/Saturated Unit Weight of Soil)). Slope of Ground surface is the rise or fall of the land surface, Buoyant unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table, Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction & Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.

How to calculate Stability Number for Failure on Slope with Seepage of Water?

The Stability Number for Failure on Slope with Seepage of Water is defined as a theoretical number given by taylor to find out stability of slopes is calculated using Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-((Buoyant Unit Weight*tan(Angle of Internal Friction of Soil))/Saturated Unit Weight of Soil)). To calculate Stability Number for Failure on Slope with Seepage of Water, you need Slope of Ground (δ), Buoyant Unit Weight (γ_b), Angle of Internal Friction of Soil (Φ_i) & Saturated Unit Weight of Soil (γ_saturated). With our tool, you need to enter the respective value for Slope of Ground, Buoyant Unit Weight, Angle of Internal Friction of Soil & Saturated Unit Weight of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Stability Number?

In this formula, Stability Number uses Slope of Ground, Buoyant Unit Weight, Angle of Internal Friction of Soil & Saturated Unit Weight of Soil. We can use 1 other way(s) to calculate the same, which is/are as follows -

Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-tan(Angle of Internal Friction of Soil))

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