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Factor of Safety against Sliding Formula

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Factor of Safety expresses how much stronger a system is than it needs to be for an intended load. Check FAQs

f s = (\frac{\tan ((Φ i))}{\tan ((I))})

f_s - Factor of Safety?Φ_i - Angle of Internal Friction of Soil?I - Angle of Inclination?

Factor of Safety against Sliding Example

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Here is how the Factor of Safety against Sliding equation looks like with Values.

Here is how the Factor of Safety against Sliding equation looks like with Units.

Here is how the Factor of Safety against Sliding equation looks like.

0.8816 = (\frac{\tan ((78.69))}{\tan ((80))})

0.8816 = (\frac{\tan ((78.69°))}{\tan ((80°))})

0.8816 = (\frac{\tan ((78.69))}{\tan ((80))})

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Factor of Safety against Sliding Solution

Follow our step by step solution on how to calculate Factor of Safety against Sliding?

FIRST Step Consider the formula

f s = (\frac{\tan ((Φ i))}{\tan ((I))})

Next Step Substitute values of Variables

∴

f s = (\frac{\tan ((78.69°))}{\tan ((80°))})

Next Step Convert Units

∴

f s = (\frac{\tan ((1.3734rad))}{\tan ((1.3963rad))})

Next Step Prepare to Evaluate

∴

f s = (\frac{\tan ((1.3734))}{\tan ((1.3963))})

Next Step Evaluate

∴

f s = 0.881629500506991

LAST Step Rounding Answer

∴

f s = 0.8816

Factor of Safety against Sliding Formula Elements

Variables

Functions

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Angle of Internal Friction of Soil

Angle of Internal Friction of Soil 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

Angle of Inclination

Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.

Symbol: I

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination

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 in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

How to Evaluate Factor of Safety against Sliding?

Factor of Safety against Sliding evaluator uses Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))) to evaluate the Factor of Safety, The Factor of Safety against Sliding formula is defined as the measure of safety margin used to assess the stability of slopes or structures on slopes against sliding failure. Factor of Safety is denoted by f_s symbol.

How to evaluate Factor of Safety against Sliding using this online evaluator? To use this online evaluator for Factor of Safety against Sliding, enter Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I) and hit the calculate button.

FAQs on Factor of Safety against Sliding

What is the formula to find Factor of Safety against Sliding?

The formula of Factor of Safety against Sliding is expressed as Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))). Here is an example- 0.88163 = (tan((1.37339958839408))/tan((1.3962634015952))).

How to calculate Factor of Safety against Sliding?

With Angle of Internal Friction of Soil (Φ_i) & Angle of Inclination (I) we can find Factor of Safety against Sliding using the formula - Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination))). This formula also uses Tangent (tan) function(s).

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