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Effective Angle of Internal Friction given Shear Strength Formula

GoEffective Angle of Internal Friction given Shear Force in Bishop's Analysis Formula

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

φ' = a \tan (\frac{ζ soil - c'}{σ nm - u})

φ' - Effective Angle of Internal Friction?ζ _soil - Shear Strength?c' - Effective Cohesion?σ_nm - Normal Stress in Mega Pascal?u - Upward Force?

Effective Angle of Internal Friction given Shear Strength Example

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Here is how the Effective Angle of Internal Friction given Shear Strength equation looks like with Values.

Here is how the Effective Angle of Internal Friction given Shear Strength equation looks like with Units.

Here is how the Effective Angle of Internal Friction given Shear Strength equation looks like.

1.3018 = a \tan (\frac{0.025 - 4}{1.1 - 20})

1.3018° = a \tan (\frac{0.025MPa - 4Pa}{1.1MPa - 20Pa})

1.3018 = a \tan (\frac{0.025 - 4}{1.1 - 20})

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Effective Angle of Internal Friction given Shear Strength Solution

Follow our step by step solution on how to calculate Effective Angle of Internal Friction given Shear Strength?

FIRST Step Consider the formula

φ' = a \tan (\frac{ζ soil - c'}{σ nm - u})

Next Step Substitute values of Variables

∴

φ' = a \tan (\frac{0.025MPa - 4Pa}{1.1MPa - 20Pa})

Next Step Convert Units

∴

φ' = a \tan (\frac{25000Pa - 4Pa}{1.1E+6Pa - 20Pa})

Next Step Prepare to Evaluate

∴

φ' = a \tan (\frac{25000 - 4}{1.1E+6 - 20})

Next Step Evaluate

∴

φ' = 0.0227201393063218rad

Next Step Convert to Output's Unit

∴

φ' = 1.30176809220177°

LAST Step Rounding Answer

∴

φ' = 1.3018°

Effective Angle of Internal Friction given Shear Strength Formula Elements

Variables

Functions

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

Shear Strength

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

Symbol: ζ _soil

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Strength

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

Normal Stress in Mega Pascal

Normal Stress in Mega Pascal is a stress that occurs when a member is loaded by an axial force.

Symbol: σ_nm

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Normal Stress in Mega 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

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)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(Number)

Other Formulas to find Effective Angle of Internal Friction

Go Effective Angle of Internal Friction given Shear Force in Bishop's Analysis

φ' = a \tan (\frac{(S \cdot f s) - (c' \cdot l)}{P - (u \cdot 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 Angle of Internal Friction given Shear Strength?

Effective Angle of Internal Friction given Shear Strength evaluator uses Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force)) to evaluate the Effective Angle of Internal Friction, The Effective Angle of Internal Friction given Shear Strength is defined as the value of effective angle of internal friction when we have prior information of other parameters used. Effective Angle of Internal Friction is denoted by φ' symbol.

How to evaluate Effective Angle of Internal Friction given Shear Strength using this online evaluator? To use this online evaluator for Effective Angle of Internal Friction given Shear Strength, enter Shear Strength (ζ _soil), Effective Cohesion (c'), Normal Stress in Mega Pascal (σ_nm) & Upward Force (u) and hit the calculate button.

FAQs on Effective Angle of Internal Friction given Shear Strength

What is the formula to find Effective Angle of Internal Friction given Shear Strength?

The formula of Effective Angle of Internal Friction given Shear Strength is expressed as Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force)). Here is an example- 528.2987 = atan((25000-4)/(1100000-20)).

How to calculate Effective Angle of Internal Friction given Shear Strength?

With Shear Strength (ζ _soil), Effective Cohesion (c'), Normal Stress in Mega Pascal (σ_nm) & Upward Force (u) we can find Effective Angle of Internal Friction given Shear Strength using the formula - Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force)). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Effective Angle of Internal Friction?

Here are the different ways to Calculate Effective Angle of Internal Friction-

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

Can the Effective Angle of Internal Friction given Shear Strength be negative?

No, the Effective Angle of Internal Friction given Shear Strength, measured in Angle cannot be negative.

Which unit is used to measure Effective Angle of Internal Friction given Shear Strength?

Effective Angle of Internal Friction given Shear Strength is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Effective Angle of Internal Friction given Shear Strength can be measured.

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Effective Angle of Internal Friction given Shear Strength Formula

​GoEffective Angle of Internal Friction given Shear Force in Bishop's Analysis Formula

Effective Angle of Internal Friction given Shear Strength Example

Effective Angle of Internal Friction given Shear Strength Solution

Effective Angle of Internal Friction given Shear Strength Formula Elements

Other Formulas to find Effective Angle of Internal Friction

Other formulas in Slope Stability Analysis using Bishops Method category

How to Evaluate Effective Angle of Internal Friction given Shear Strength?

FAQs on Effective Angle of Internal Friction given Shear Strength

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GoEffective Angle of Internal Friction given Shear Force in Bishop's Analysis Formula