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Cohesion given Critical Depth for Cohesive Soil Formula

GoCohesion given Shear Strength of Cohesive Soil Formula

GoCohesion of Soil given Factor of Safety 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 = (h c \cdot γ \cdot (\tan ((I)) - \tan ((φ))) \cdot {(\cos ((I)))}^{2})

c - Cohesion of Soil?h_c - Critical Depth?γ - Unit Weight of Soil?I - Angle of Inclination?φ - Angle of Internal Friction?

Cohesion given Critical Depth for Cohesive Soil Example

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Here is how the Cohesion given Critical Depth for Cohesive Soil equation looks like with Values.

Here is how the Cohesion given Critical Depth for Cohesive Soil equation looks like with Units.

Here is how the Cohesion given Critical Depth for Cohesive Soil equation looks like.

2.5111 = (1.01 \cdot 18 \cdot (\tan ((80)) - \tan ((47.48))) \cdot {(\cos ((80)))}^{2})

2.5111kPa = (1.01m \cdot 18kN/m³ \cdot (\tan ((80°)) - \tan ((47.48°))) \cdot {(\cos ((80°)))}^{2})

2.5111 = (1.01 \cdot 18 \cdot (\tan ((80)) - \tan ((47.48))) \cdot {(\cos ((80)))}^{2})

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Cohesion given Critical Depth for Cohesive Soil Solution

Follow our step by step solution on how to calculate Cohesion given Critical Depth for Cohesive Soil?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c = (1.01m \cdot 18kN/m³ \cdot (\tan ((80°)) - \tan ((47.48°))) \cdot {(\cos ((80°)))}^{2})

Next Step Convert Units

∴

c = (1.01m \cdot 18kN/m³ \cdot (\tan ((1.3963rad)) - \tan ((0.8287rad))) \cdot {(\cos ((1.3963rad)))}^{2})

Next Step Prepare to Evaluate

∴

c = (1.01 \cdot 18 \cdot (\tan ((1.3963)) - \tan ((0.8287))) \cdot {(\cos ((1.3963)))}^{2})

Next Step Evaluate

∴

c = 2511.13333854639Pa

Next Step Convert to Output's Unit

∴

c = 2.51113333854639kPa

LAST Step Rounding Answer

∴

c = 2.5111kPa

Cohesion given Critical Depth 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

Critical Depth

Critical Depth is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight 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

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

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 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 of Soil given Factor of Safety for Cohesive Soil

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

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 Critical Depth for Cohesive Soil?

Cohesion given Critical Depth for Cohesive Soil evaluator uses Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2) to evaluate the Cohesion of Soil, The Cohesion given Critical Depth for Cohesive Soil formula is defined as the internal molecular attraction in cohesive soil, essential for maintaining stability; critical depth marks its significance in engineering. Cohesion of Soil is denoted by c symbol.

How to evaluate Cohesion given Critical Depth for Cohesive Soil using this online evaluator? To use this online evaluator for Cohesion given Critical Depth for Cohesive Soil, enter Critical Depth (h_c), Unit Weight of Soil (γ), Angle of Inclination (I) & Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Cohesion given Critical Depth for Cohesive Soil

What is the formula to find Cohesion given Critical Depth for Cohesive Soil?

The formula of Cohesion given Critical Depth for Cohesive Soil is expressed as Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). Here is an example- 0.002511 = (1.01*18000*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2).

How to calculate Cohesion given Critical Depth for Cohesive Soil?

With Critical Depth (h_c), Unit Weight of Soil (γ), Angle of Inclination (I) & Angle of Internal Friction (φ) we can find Cohesion given Critical Depth for Cohesive Soil using the formula - Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). This formula also uses Cosine (cos), 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=(Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))
Cohesion of Soil=Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Can the Cohesion given Critical Depth for Cohesive Soil be negative?

No, the Cohesion given Critical Depth for Cohesive Soil, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion given Critical Depth for Cohesive Soil?

Cohesion given Critical Depth 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 given Critical Depth for Cohesive Soil can be measured.

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Cohesion given Critical Depth for Cohesive Soil Formula

​GoCohesion given Shear Strength of Cohesive Soil Formula

​GoCohesion of Soil given Factor of Safety for Cohesive Soil Formula

Cohesion given Critical Depth for Cohesive Soil Example

Cohesion given Critical Depth for Cohesive Soil Solution

Cohesion given Critical Depth 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 given Critical Depth for Cohesive Soil?

FAQs on Cohesion given Critical Depth for Cohesive Soil

Variable Name

GoCohesion given Shear Strength of Cohesive Soil Formula

GoCohesion of Soil given Factor of Safety for Cohesive Soil Formula