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Cohesion of Soil given Factor of Safety with respect to Cohesion 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 = (S n \cdot F c \cdot γ \cdot H Mobilised)

c - Cohesion of Soil?S_n - Stability Number?F_c - Factor of Safety with respect to Cohesion?γ - Unit Weight of Soil?H_Mobilised - Depth at Mobilized Cohesion in Stability Number?

Cohesion of Soil given Factor of Safety with respect to Cohesion Example

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

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

Here is how the Cohesion of Soil given Factor of Safety with respect to Cohesion equation looks like.

2.7497 = (2.01 \cdot 1.9 \cdot 18 \cdot 0.04)

2.7497kPa = (2.01 \cdot 1.9 \cdot 18kN/m³ \cdot 0.04m)

2.7497 = (2.01 \cdot 1.9 \cdot 18 \cdot 0.04)

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Cohesion of Soil given Factor of Safety with respect to Cohesion Solution

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

FIRST Step Consider the formula

c = (S n \cdot F c \cdot γ \cdot H Mobilised)

Next Step Substitute values of Variables

∴

c = (2.01 \cdot 1.9 \cdot 18kN/m³ \cdot 0.04m)

Next Step Prepare to Evaluate

∴

c = (2.01 \cdot 1.9 \cdot 18 \cdot 0.04)

Next Step Evaluate

∴

c = 2749.68Pa

Next Step Convert to Output's Unit

∴

c = 2.74968kPa

LAST Step Rounding Answer

∴

c = 2.7497kPa

Cohesion of Soil given Factor of Safety with respect to Cohesion Formula Elements

Variables

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

Stability Number

Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.

Symbol: S_n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stability Number

Factor of Safety with respect to Cohesion

Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.

Symbol: F_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety with respect to Cohesion

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

Depth at Mobilized Cohesion in Stability Number

Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.

Symbol: H_Mobilised

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth at Mobilized Cohesion in Stability Number

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 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)

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 with respect to Cohesion?

Cohesion of Soil given Factor of Safety with respect to Cohesion evaluator uses Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number) to evaluate the Cohesion of Soil, The Cohesion of Soil given Factor of Safety with respect to Cohesion formula is defined as the ratio of soil cohesion to applied stress ensuring stability in geotechnical engineering. Cohesion of Soil is denoted by c symbol.

How to evaluate Cohesion of Soil given Factor of Safety with respect to Cohesion using this online evaluator? To use this online evaluator for Cohesion of Soil given Factor of Safety with respect to Cohesion, enter Stability Number (S_n), Factor of Safety with respect to Cohesion (F_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) and hit the calculate button.

FAQs on Cohesion of Soil given Factor of Safety with respect to Cohesion

What is the formula to find Cohesion of Soil given Factor of Safety with respect to Cohesion?

The formula of Cohesion of Soil given Factor of Safety with respect to Cohesion is expressed as Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number). Here is an example- 0.00275 = (2.01*1.9*18000*0.04).

How to calculate Cohesion of Soil given Factor of Safety with respect to Cohesion?

With Stability Number (S_n), Factor of Safety with respect to Cohesion (F_c), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion in Stability Number (H_Mobilised) we can find Cohesion of Soil given Factor of Safety with respect to Cohesion using the formula - Cohesion of Soil = (Stability Number*Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number).

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=(Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Can the Cohesion of Soil given Factor of Safety with respect to Cohesion be negative?

No, the Cohesion of Soil given Factor of Safety with respect to Cohesion, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of Soil given Factor of Safety with respect to Cohesion?

Cohesion of Soil given Factor of Safety with respect to Cohesion 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 with respect to Cohesion can be measured.

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Cohesion of Soil given Factor of Safety with respect to Cohesion Formula

​GoCohesion given Shear Strength of Cohesive Soil Formula

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

Cohesion of Soil given Factor of Safety with respect to Cohesion Example

Cohesion of Soil given Factor of Safety with respect to Cohesion Solution

Cohesion of Soil given Factor of Safety with respect to Cohesion 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 with respect to Cohesion?

FAQs on Cohesion of Soil given Factor of Safety with respect to Cohesion

Variable Name

GoCohesion given Shear Strength of Cohesive Soil Formula

GoCohesion of Soil given Factor of Safety for Cohesive Soil Formula