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Cohesion given Shear Strength of Cohesive Soil Formula

GoCohesion of Soil given Factor of Safety for 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 = τ f - (σ n \cdot \tan (\frac{Φ i \cdot π}{180}))

c - Cohesion of Soil?τ_f - Shear Strength in KN per Cubic Meter?σ_n - Normal Stress at a Point in Soil?Φ_i - Angle of Internal Friction of Soil?π - Archimedes' constant?

Cohesion given Shear Strength of Cohesive Soil Example

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Here is how the Cohesion given Shear Strength of Cohesive Soil equation looks like with Values.

Here is how the Cohesion given Shear Strength of Cohesive Soil equation looks like with Units.

Here is how the Cohesion given Shear Strength of Cohesive Soil equation looks like.

4.4007 = 4.92 - (21.66 \cdot \tan (\frac{78.69 \cdot 3.1416}{180}))

4.4007kPa = 4.92kN/m² - (21.66kN/m² \cdot \tan (\frac{78.69° \cdot 3.1416}{180}))

4.4007 = 4.92 - (21.66 \cdot \tan (\frac{78.69 \cdot 3.1416}{180}))

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Cohesion given Shear Strength of Cohesive Soil Solution

Follow our step by step solution on how to calculate Cohesion given Shear Strength of Cohesive Soil?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c = 4.92kN/m² - (21.66kN/m² \cdot \tan (\frac{78.69° \cdot π}{180}))

Next Step Substitute values of Constants

∴

c = 4.92kN/m² - (21.66kN/m² \cdot \tan (\frac{78.69° \cdot 3.1416}{180}))

Next Step Convert Units

∴

c = 4920Pa - (21660Pa \cdot \tan (\frac{1.3734rad \cdot 3.1416}{180}))

Next Step Prepare to Evaluate

∴

c = 4920 - (21660 \cdot \tan (\frac{1.3734 \cdot 3.1416}{180}))

Next Step Evaluate

∴

c = 4400.70286982002Pa

Next Step Convert to Output's Unit

∴

c = 4.40070286982002kPa

LAST Step Rounding Answer

∴

c = 4.4007kPa

Cohesion given Shear Strength of Cohesive Soil Formula Elements

Variables

Constants

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 Strength in KN per Cubic Meter

Shear Strength in KN per Cubic Meter is the strength of a material against structural failure when the material fails in shear, measure in Kilonewton per cubic meter.

Symbol: τ_f

Measurement: StressUnit: kN/m²

Note: Value should be greater than 0.

Formulas to find Shear Strength in KN per Cubic Meter

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 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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 of Soil given Factor of Safety for Cohesive Soil

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

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 given Shear Strength of Cohesive Soil?

Cohesion given Shear Strength of Cohesive Soil evaluator uses 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)) to evaluate the Cohesion of Soil, The Cohesion given Shear Strength of Cohesive Soil formula is defined as the value of cohesion when we have prior information of shear strength of cohesive soil. Cohesion of Soil is denoted by c symbol.

How to evaluate Cohesion given Shear Strength of Cohesive Soil using this online evaluator? To use this online evaluator for Cohesion given Shear Strength of Cohesive Soil, enter Shear Strength in KN per Cubic Meter (τ_f), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction of Soil (Φ_i) and hit the calculate button.

FAQs on Cohesion given Shear Strength of Cohesive Soil

What is the formula to find Cohesion given Shear Strength of Cohesive Soil?

The formula of Cohesion given Shear Strength of Cohesive Soil is expressed as 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)). Here is an example- 0.003065 = 4920-(21660*tan((1.37339958839408*pi)/180)).

How to calculate Cohesion given Shear Strength of Cohesive Soil?

With Shear Strength in KN per Cubic Meter (τ_f), Normal Stress at a Point in Soil (σ_n) & Angle of Internal Friction of Soil (Φ_i) we can find Cohesion given Shear Strength of Cohesive Soil using the formula - 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)). This formula also uses Archimedes' constant and 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 Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))
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 given Shear Strength of Cohesive Soil be negative?

No, the Cohesion given Shear Strength of Cohesive Soil, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion given Shear Strength of Cohesive Soil?

Cohesion given Shear Strength of 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 given Shear Strength of Cohesive Soil can be measured.

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