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Cohesion of Soil given Factor of Safety for Cohesive Soil Formula

GoCohesion given Shear Strength of Cohesive Soil Formula

GoCohesion given Critical Depth for Cohesive Soil Formula

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Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil. Check FAQs

c = (ζ cs \cdot f s) - (σ n \cdot \tan ((φ)))

c - Cohesion of Soil?ζ_cs - Shear Stress in Cohesive Soil?f_s - Factor of Safety?σ_n - Normal Stress at a Point in Soil?φ - Angle of Internal Friction?

Cohesion of Soil given Factor of Safety for Cohesive Soil Example

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Here is how the Cohesion of Soil given Factor of Safety for Cohesive Soil equation looks like with Values.

Here is how the Cohesion of Soil given Factor of Safety for Cohesive Soil equation looks like with Units.

Here is how the Cohesion of Soil given Factor of Safety for Cohesive Soil equation looks like.

2.5324 = (29.72 \cdot 0.88) - (21.66 \cdot \tan ((47.48)))

2.5324kPa = (29.72kN/m² \cdot 0.88) - (21.66kN/m² \cdot \tan ((47.48°)))

2.5324 = (29.72 \cdot 0.88) - (21.66 \cdot \tan ((47.48)))

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Cohesion of Soil given Factor of Safety for Cohesive Soil Solution

Follow our step by step solution on how to calculate Cohesion of Soil given Factor of Safety for Cohesive Soil?

FIRST Step Consider the formula

c = (ζ cs \cdot f s) - (σ n \cdot \tan ((φ)))

Next Step Substitute values of Variables

∴

c = (29.72kN/m² \cdot 0.88) - (21.66kN/m² \cdot \tan ((47.48°)))

Next Step Convert Units

∴

c = (29.72kN/m² \cdot 0.88) - (21.66kN/m² \cdot \tan ((0.8287rad)))

Next Step Prepare to Evaluate

∴

c = (29.72 \cdot 0.88) - (21.66 \cdot \tan ((0.8287)))

Next Step Evaluate

∴

c = 2532.41685262355Pa

Next Step Convert to Output's Unit

∴

c = 2.53241685262355kPa

LAST Step Rounding Answer

∴

c = 2.5324kPa

Cohesion of Soil given Factor of Safety for Cohesive Soil Formula Elements

Variables

Functions

Cohesion of Soil

Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: c

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Shear Stress in Cohesive Soil

Shear Stress in Cohesive Soil is the stress that acts parallel to the plane of failure within cohesive soils such as clay or silt.

Symbol: ζ_cs

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Cohesive Soil

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

Normal Stress at a Point in Soil

Normal Stress at a Point in Soil is defined as the force per unit area acting perpendicular to an imaginary plane passing through that point.

Symbol: σ_n

Measurement: StressUnit: kN/m²

Note: Value can be positive or negative.

Formulas to find Normal Stress at a Point in Soil

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

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 Cohesion of Soil

Go Cohesion given Shear Strength of Cohesive Soil

c = τ f - (σ n \cdot \tan (\frac{Φ i \cdot π}{180}))

Go Cohesion given Critical Depth for Cohesive Soil

c = (h c \cdot γ \cdot (\tan ((I)) - \tan ((φ))) \cdot {(\cos ((I)))}^{2})

Go Cohesion given Stability Number for Cohesive Soil

c = S n \cdot (γ \cdot h cs)

Go Cohesion of Soil given Mobilized Cohesion

c = C m \cdot F c

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 Cohesion of Soil given Factor of Safety for Cohesive Soil?

Cohesion of Soil given Factor of Safety for Cohesive Soil evaluator uses Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction))) to evaluate the Cohesion of Soil, The Cohesion of Soil given Factor of Safety for Cohesive Soil formula is defined as the ratio of shear strength to applied stress, ensuring stability and preventing failure. Cohesion of Soil is denoted by c symbol.

How to evaluate Cohesion of Soil given Factor of Safety for Cohesive Soil using this online evaluator? To use this online evaluator for Cohesion of Soil given Factor of Safety for Cohesive Soil, enter Shear Stress in Cohesive Soil (ζ_cs), Factor of Safety (f_s), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Cohesion of Soil given Factor of Safety for Cohesive Soil

What is the formula to find Cohesion of Soil given Factor of Safety for Cohesive Soil?

The formula of Cohesion of Soil given Factor of Safety for Cohesive Soil is expressed as Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction))). Here is an example- -0.058211 = (29720*0.88)-(21660*tan((0.828682328846752))).

How to calculate Cohesion of Soil given Factor of Safety for Cohesive Soil?

With Shear Stress in Cohesive Soil (ζ_cs), Factor of Safety (f_s), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction (φ) we can find Cohesion of Soil given Factor of Safety for Cohesive Soil using the formula - Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction))). This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Cohesion of Soil?

Here are the different ways to Calculate Cohesion of Soil-

Cohesion of Soil=Shear Strength in KN per Cubic Meter-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction of Soil*pi)/180))
Cohesion of Soil=(Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion of Soil=Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Can the Cohesion of Soil given Factor of Safety for Cohesive Soil be negative?

No, the Cohesion of Soil given Factor of Safety for Cohesive Soil, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of Soil given Factor of Safety for Cohesive Soil?

Cohesion of Soil given Factor of Safety for Cohesive Soil is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Cohesion of Soil given Factor of Safety for Cohesive Soil can be measured.

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Cohesion of Soil given Factor of Safety for Cohesive Soil Formula

​GoCohesion given Shear Strength of Cohesive Soil Formula

​GoCohesion given Critical Depth for Cohesive Soil Formula

Cohesion of Soil given Factor of Safety for Cohesive Soil Example

Cohesion of Soil given Factor of Safety for Cohesive Soil Solution

Cohesion of Soil given Factor of Safety for Cohesive Soil Formula Elements

Other Formulas to find Cohesion of Soil

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Cohesion of Soil given Factor of Safety for Cohesive Soil?

FAQs on Cohesion of Soil given Factor of Safety for Cohesive Soil

Variable Name

GoCohesion given Shear Strength of Cohesive Soil Formula

GoCohesion given Critical Depth for Cohesive Soil Formula