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Stability Number for Failure on Slope without Seepage Water Formula

GoStability Number for Failure on Slope with Seepage of Water Formula

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Stability Number is a theoretical number given by Taylor. Check FAQs

S n = {(\cos (δ))}^{2} \cdot (\tan (δ) - \tan (Φ i))

S_n - Stability Number?δ - Slope of Ground?Φ_i - Angle of Internal Friction of Soil?

Stability Number for Failure on Slope without Seepage Water Example

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Here is how the Stability Number for Failure on Slope without Seepage Water equation looks like with Values.

Here is how the Stability Number for Failure on Slope without Seepage Water equation looks like with Units.

Here is how the Stability Number for Failure on Slope without Seepage Water equation looks like.

0.0304 = {(\cos (87))}^{2} \cdot (\tan (87) - \tan (82.87))

0.0304 = {(\cos (87°))}^{2} \cdot (\tan (87°) - \tan (82.87°))

0.0304 = {(\cos (87))}^{2} \cdot (\tan (87) - \tan (82.87))

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Stability Number for Failure on Slope without Seepage Water Solution

Follow our step by step solution on how to calculate Stability Number for Failure on Slope without Seepage Water?

FIRST Step Consider the formula

S n = {(\cos (δ))}^{2} \cdot (\tan (δ) - \tan (Φ i))

Next Step Substitute values of Variables

∴

S n = {(\cos (87°))}^{2} \cdot (\tan (87°) - \tan (82.87°))

Next Step Convert Units

∴

S n = {(\cos (1.5184rad))}^{2} \cdot (\tan (1.5184rad) - \tan (1.4464rad))

Next Step Prepare to Evaluate

∴

S n = {(\cos (1.5184))}^{2} \cdot (\tan (1.5184) - \tan (1.4464))

Next Step Evaluate

∴

S n = 0.0303672883182017

LAST Step Rounding Answer

∴

S n = 0.0304

Stability Number for Failure on Slope without Seepage Water Formula Elements

Variables

Functions

Stability Number

Stability Number is a theoretical number given by Taylor.

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stability Number

Slope of Ground

Slope of Ground surface is the rise or fall of the land surface.

Symbol: δ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Slope of Ground

Angle of Internal Friction of Soil

Angle of Internal Friction of Soil is is a measure of the shear strength of soil due to friction.

Symbol: Φ_i

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Angle of Internal Friction of Soil

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: 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.

Syntax: tan(Angle)

Other Formulas to find Stability Number

Go Stability Number for Failure on Slope with Seepage of Water

S n = {(\cos (δ))}^{2} \cdot (\tan (δ) - (\frac{γ b \cdot \tan (Φ i)}{γ saturated}))

Other formulas in Steady State Seepage Analysis Along The Slopes category

Go Weight of Soil Prism given Saturated Unit Weight

W prism = (γ saturated \cdot z \cdot b \cdot \cos (\frac{i \cdot π}{180}))

Go Inclined Length of Prism given Saturated Unit Weight

b = \frac{W prism}{γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180})}

Go Vertical Stress on Prism given Saturated Unit Weight

σ zkp = (γ saturated \cdot z \cdot \cos (\frac{i \cdot π}{180}))

Go Normal Stress Component given Saturated Unit Weight

σ n = (γ saturated \cdot z \cdot {(\cos (\frac{i \cdot π}{180}))}^{2})

How to Evaluate Stability Number for Failure on Slope without Seepage Water?

Stability Number for Failure on Slope without Seepage Water evaluator uses Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-tan(Angle of Internal Friction of Soil)) to evaluate the Stability Number, The Stability Number for Failure on Slope without Seepage Water is defined as the theoretical number given by taylor to find stability of slopes . Stability Number is denoted by S_n symbol.

How to evaluate Stability Number for Failure on Slope without Seepage Water using this online evaluator? To use this online evaluator for Stability Number for Failure on Slope without Seepage Water, enter Slope of Ground (δ) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button.

FAQs on Stability Number for Failure on Slope without Seepage Water

What is the formula to find Stability Number for Failure on Slope without Seepage Water?

The formula of Stability Number for Failure on Slope without Seepage Water is expressed as Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-tan(Angle of Internal Friction of Soil)). Here is an example- 0.030367 = (cos(1.51843644923478))^2*(tan(1.51843644923478)-tan(1.44635435112743)).

How to calculate Stability Number for Failure on Slope without Seepage Water?

With Slope of Ground (δ) & Angle of Internal Friction of Soil (Φ_i) we can find Stability Number for Failure on Slope without Seepage Water using the formula - Stability Number = (cos(Slope of Ground))^2*(tan(Slope of Ground)-tan(Angle of Internal Friction of Soil)). This formula also uses Cosine (cos), Tangent (tan) function(s).

What are the other ways to Calculate Stability Number?

Here are the different ways to Calculate Stability Number-

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))

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