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Effective Cohesion of Soil given Normal Stress on Slice Formula

GoEffective Cohesion of Soil given Shear Force in Bishop's Analysis Formula

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Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation. Check FAQs

c' = τ - ((σ normal - u) \cdot \tan (\frac{φ' \cdot π}{180}))

c' - Effective Cohesion?τ - Shear Strength of Soil in Pascal?σ_normal - Normal Stress in Pascal?u - Upward Force?φ' - Effective Angle of Internal Friction?π - Archimedes' constant?

Effective Cohesion of Soil given Normal Stress on Slice Example

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Here is how the Effective Cohesion of Soil given Normal Stress on Slice equation looks like with Values.

Here is how the Effective Cohesion of Soil given Normal Stress on Slice equation looks like with Units.

Here is how the Effective Cohesion of Soil given Normal Stress on Slice equation looks like.

2.0731 = 2.06 - ((15.71 - 20) \cdot \tan (\frac{9.99 \cdot 3.1416}{180}))

2.0731Pa = 2.06Pa - ((15.71Pa - 20Pa) \cdot \tan (\frac{9.99° \cdot 3.1416}{180}))

2.0731 = 2.06 - ((15.71 - 20) \cdot \tan (\frac{9.99 \cdot 3.1416}{180}))

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Effective Cohesion of Soil given Normal Stress on Slice Solution

Follow our step by step solution on how to calculate Effective Cohesion of Soil given Normal Stress on Slice?

FIRST Step Consider the formula

c' = τ - ((σ normal - u) \cdot \tan (\frac{φ' \cdot π}{180}))

Next Step Substitute values of Variables

∴

c' = 2.06Pa - ((15.71Pa - 20Pa) \cdot \tan (\frac{9.99° \cdot π}{180}))

Next Step Substitute values of Constants

∴

c' = 2.06Pa - ((15.71Pa - 20Pa) \cdot \tan (\frac{9.99° \cdot 3.1416}{180}))

Next Step Convert Units

∴

c' = 2.06Pa - ((15.71Pa - 20Pa) \cdot \tan (\frac{0.1744rad \cdot 3.1416}{180}))

Next Step Prepare to Evaluate

∴

c' = 2.06 - ((15.71 - 20) \cdot \tan (\frac{0.1744 \cdot 3.1416}{180}))

Next Step Evaluate

∴

c' = 2.07305505952091Pa

LAST Step Rounding Answer

∴

c' = 2.0731Pa

Effective Cohesion of Soil given Normal Stress on Slice Formula Elements

Variables

Constants

Functions

Effective Cohesion

Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.

Symbol: c'

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Effective Cohesion

Shear Strength of Soil in Pascal

Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear.

Symbol: τ

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Strength of Soil in Pascal

Normal Stress in Pascal

Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.

Symbol: σ_normal

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Normal Stress in Pascal

Upward Force

Upward Force due to seepage water.

Symbol: u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Upward Force

Effective Angle of Internal Friction

Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective Angle of Internal Friction

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 Effective Cohesion

Go Effective Cohesion of Soil given Shear Force in Bishop's Analysis

c' = \frac{(S \cdot f s) - ((P - (u \cdot l)) \cdot \tan (\frac{φ' \cdot π}{180}))}{l}

Other formulas in Slope Stability Analysis using Bishops Method category

Go Normal Stress on Slice

σ normal = \frac{P}{l}

Go Length of Arc of Slice

l = \frac{P}{σ normal}

Go Effective Stress on Slice

σ' = (\frac{P}{l}) - ΣU

Go Length of Arc of Slice given Effective Stress

l = \frac{P}{σ' + ΣU}

How to Evaluate Effective Cohesion of Soil given Normal Stress on Slice?

Effective Cohesion of Soil given Normal Stress on Slice evaluator uses Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180)) to evaluate the Effective Cohesion, The Effective Cohesion of Soil given Normal Stress on Slice is defined as the value of effective cohesion when we have prior information of other parameters used. Effective Cohesion is denoted by c' symbol.

How to evaluate Effective Cohesion of Soil given Normal Stress on Slice using this online evaluator? To use this online evaluator for Effective Cohesion of Soil given Normal Stress on Slice, enter Shear Strength of Soil in Pascal (τ), Normal Stress in Pascal (σ_normal), Upward Force (u) & Effective Angle of Internal Friction (φ') and hit the calculate button.

FAQs on Effective Cohesion of Soil given Normal Stress on Slice

What is the formula to find Effective Cohesion of Soil given Normal Stress on Slice?

The formula of Effective Cohesion of Soil given Normal Stress on Slice is expressed as Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180)). Here is an example- 4.773055 = 2.06-((15.71-20)*tan((0.174358392274201*pi)/180)).

How to calculate Effective Cohesion of Soil given Normal Stress on Slice?

With Shear Strength of Soil in Pascal (τ), Normal Stress in Pascal (σ_normal), Upward Force (u) & Effective Angle of Internal Friction (φ') we can find Effective Cohesion of Soil given Normal Stress on Slice using the formula - Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180)). This formula also uses Archimedes' constant and Tangent function(s).

What are the other ways to Calculate Effective Cohesion?

Here are the different ways to Calculate Effective Cohesion-

Effective Cohesion=((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc

Can the Effective Cohesion of Soil given Normal Stress on Slice be negative?

No, the Effective Cohesion of Soil given Normal Stress on Slice, measured in Pressure cannot be negative.

Which unit is used to measure Effective Cohesion of Soil given Normal Stress on Slice?

Effective Cohesion of Soil given Normal Stress on Slice is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Effective Cohesion of Soil given Normal Stress on Slice can be measured.

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Effective Cohesion of Soil given Normal Stress on Slice Formula

​GoEffective Cohesion of Soil given Shear Force in Bishop's Analysis Formula

Effective Cohesion of Soil given Normal Stress on Slice Example

Effective Cohesion of Soil given Normal Stress on Slice Solution

Effective Cohesion of Soil given Normal Stress on Slice Formula Elements

Other Formulas to find Effective Cohesion

Other formulas in Slope Stability Analysis using Bishops Method category

How to Evaluate Effective Cohesion of Soil given Normal Stress on Slice?

FAQs on Effective Cohesion of Soil given Normal Stress on Slice

Variable Name

GoEffective Cohesion of Soil given Shear Force in Bishop's Analysis Formula