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Angle of Internal Friction given Factor of Safety for Submerged Slope Formula

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

Φ i = a \tan (\tan ((i)) \cdot (f s - (\frac{C}{γ' \cdot \cos ((i)) \cdot \sin ((i))})))

Φ_i - Angle of Internal Friction of Soil?i - Angle of Inclination to Horizontal in Soil?f_s - Factor of Safety?C - Cohesion in Soil as Kilopascal?γ^' - Submerged Unit Weight?

Angle of Internal Friction given Factor of Safety for Submerged Slope Example

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Here is how the Angle of Internal Friction given Factor of Safety for Submerged Slope equation looks like with Values.

Here is how the Angle of Internal Friction given Factor of Safety for Submerged Slope equation looks like with Units.

Here is how the Angle of Internal Friction given Factor of Safety for Submerged Slope equation looks like.

77.2566 = a \tan (\tan ((64)) \cdot (2.8 - (\frac{1.27}{5.01 \cdot \cos ((64)) \cdot \sin ((64))})))

77.2566° = a \tan (\tan ((64°)) \cdot (2.8 - (\frac{1.27kPa}{5.01N/m³ \cdot \cos ((64°)) \cdot \sin ((64°))})))

77.2566 = a \tan (\tan ((64)) \cdot (2.8 - (\frac{1.27}{5.01 \cdot \cos ((64)) \cdot \sin ((64))})))

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Angle of Internal Friction given Factor of Safety for Submerged Slope Solution

Follow our step by step solution on how to calculate Angle of Internal Friction given Factor of Safety for Submerged Slope?

FIRST Step Consider the formula

Φ i = a \tan (\tan ((i)) \cdot (f s - (\frac{C}{γ' \cdot \cos ((i)) \cdot \sin ((i))})))

Next Step Substitute values of Variables

∴

Φ i = a \tan (\tan ((64°)) \cdot (2.8 - (\frac{1.27kPa}{5.01N/m³ \cdot \cos ((64°)) \cdot \sin ((64°))})))

Next Step Convert Units

∴

Φ i = a \tan (\tan ((1.117rad)) \cdot (2.8 - (\frac{1.27kPa}{5.01N/m³ \cdot \cos ((1.117rad)) \cdot \sin ((1.117rad))})))

Next Step Prepare to Evaluate

∴

Φ i = a \tan (\tan ((1.117)) \cdot (2.8 - (\frac{1.27}{5.01 \cdot \cos ((1.117)) \cdot \sin ((1.117))})))

Next Step Evaluate

∴

Φ i = 1.34838239223954rad

Next Step Convert to Output's Unit

∴

Φ i = 77.2566202450934°

LAST Step Rounding Answer

∴

Φ i = 77.2566°

Angle of Internal Friction given Factor of Safety for Submerged Slope Formula Elements

Variables

Functions

Angle of Internal Friction of Soil

Angle of Internal Friction of Soil is 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

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as 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 to Horizontal in Soil

Factor of Safety

Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Cohesion in Soil as Kilopascal

Cohesion in Soil as Kilopascal 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 between 0 to 50.

Formulas to find Cohesion in Soil as Kilopascal

Submerged Unit Weight

Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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)

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 in Stability Analysis of Submerged Slopes category

Go Normal Stress Component given Submerged Unit Weight

σ Normal = γ' \cdot z \cdot {(\cos ((i)))}^{2}

Go Submerged Unit Weight given Normal Stress Component

γ' = \frac{σ Normal}{z \cdot {(\cos ((i)))}^{2}}

Go Depth of Prism given Submerged Unit Weight

z = \frac{σ Normal}{γ' \cdot {(\cos ((i)))}^{2}}

Go Shear Stress Component given Submerged Unit Weight

𝜏 = (γ' \cdot z \cdot \cos ((i)) \cdot \sin ((i)))

How to Evaluate Angle of Internal Friction given Factor of Safety for Submerged Slope?

Angle of Internal Friction given Factor of Safety for Submerged Slope evaluator uses Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))))) to evaluate the Angle of Internal Friction of Soil, The Angle of Internal Friction given Factor of Safety for Submerged Slope is defined as the value of angle of internal friction when we have prior information of other parameters used. Angle of Internal Friction of Soil is denoted by Φ_i symbol.

How to evaluate Angle of Internal Friction given Factor of Safety for Submerged Slope using this online evaluator? To use this online evaluator for Angle of Internal Friction given Factor of Safety for Submerged Slope, enter Angle of Inclination to Horizontal in Soil (i), Factor of Safety (f_s), Cohesion in Soil as Kilopascal (C) & Submerged Unit Weight (γ^') and hit the calculate button.

FAQs on Angle of Internal Friction given Factor of Safety for Submerged Slope

What is the formula to find Angle of Internal Friction given Factor of Safety for Submerged Slope?

The formula of Angle of Internal Friction given Factor of Safety for Submerged Slope is expressed as Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))))). Here is an example- 4426.057 = atan(tan((1.11701072127616))*(2.8-(1270/(5.01*cos((1.11701072127616))*sin((1.11701072127616)))))).

How to calculate Angle of Internal Friction given Factor of Safety for Submerged Slope?

With Angle of Inclination to Horizontal in Soil (i), Factor of Safety (f_s), Cohesion in Soil as Kilopascal (C) & Submerged Unit Weight (γ^') we can find Angle of Internal Friction given Factor of Safety for Submerged Slope using the formula - Angle of Internal Friction of Soil = atan(tan((Angle of Inclination to Horizontal in Soil))*(Factor of Safety-(Cohesion in Soil as Kilopascal/(Submerged Unit Weight*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))))). This formula also uses Sine (sin)Cosine (cos)Tangent (tan), Inverse Tan (atan) function(s).

Can the Angle of Internal Friction given Factor of Safety for Submerged Slope be negative?

Yes, the Angle of Internal Friction given Factor of Safety for Submerged Slope, measured in Angle can be negative.

Which unit is used to measure Angle of Internal Friction given Factor of Safety for Submerged Slope?

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

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Angle of Internal Friction given Factor of Safety for Submerged Slope Formula

Angle of Internal Friction given Factor of Safety for Submerged Slope Example

Angle of Internal Friction given Factor of Safety for Submerged Slope Solution

Angle of Internal Friction given Factor of Safety for Submerged Slope Formula Elements

Other formulas in Stability Analysis of Submerged Slopes category

How to Evaluate Angle of Internal Friction given Factor of Safety for Submerged Slope?

FAQs on Angle of Internal Friction given Factor of Safety for Submerged Slope

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