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Effective Angle of Internal Friction given Weighted Friction Angle Formula

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Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress. Check FAQs

φ' = \frac{φ IF}{\frac{γ'}{f s \cdot γ sat}}

φ' - Effective Angle of Internal Friction?φ_IF - Weighted Friction Angle for Internal Friction?γ^' - Submerged Unit Weight?f_s - Factor of Safety?γ_sat - Saturated Unit Weight?

Effective Angle of Internal Friction given Weighted Friction Angle Example

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

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

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

9.9156 = \frac{11}{\frac{31}{2.8 \cdot 9.98}}

9.9156° = \frac{11°}{\frac{31N/m³}{2.8 \cdot 9.98N/m³}}

9.9156 = \frac{11}{\frac{31}{2.8 \cdot 9.98}}

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Effective Angle of Internal Friction given Weighted Friction Angle Solution

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

FIRST Step Consider the formula

φ' = \frac{φ IF}{\frac{γ'}{f s \cdot γ sat}}

Next Step Substitute values of Variables

∴

φ' = \frac{11°}{\frac{31N/m³}{2.8 \cdot 9.98N/m³}}

Next Step Convert Units

∴

φ' = \frac{0.192rad}{\frac{31N/m³}{2.8 \cdot 9.98N/m³}}

Next Step Prepare to Evaluate

∴

φ' = \frac{0.192}{\frac{31}{2.8 \cdot 9.98}}

Next Step Evaluate

∴

φ' = 0.173060092514491rad

Next Step Convert to Output's Unit

∴

φ' = 9.9156129032258°

LAST Step Rounding Answer

∴

φ' = 9.9156°

Effective Angle of Internal Friction given Weighted Friction Angle Formula Elements

Variables

Effective Angle of Internal Friction

Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective Angle of Internal Friction

Weighted Friction Angle for Internal Friction

Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.

Symbol: φ_IF

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Weighted Friction Angle for Internal Friction

Submerged Unit Weight

Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

Factor of Safety

Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Saturated Unit Weight

Saturated Unit Weight is the value of the unit weight of the soil when the soil is completely saturated with water that is all the soil pores are completely filled with water.

Symbol: γ_sat

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Saturated Unit Weight

Other formulas in Taylor's Stability Number and Stability Curves category

Go Weighted Friction Angle given Factor of Safety with respect to Shear Strength

φ w = a \tan ((\frac{γ'}{γ sat}) \cdot (\frac{\tan ((Φ i))}{f s}))

Go Submerged Unit Weight given Factor of Safety with respect to Shear Strength

γ' = \frac{\tan (\frac{φ w \cdot π}{180})}{(\frac{1}{γ sat}) \cdot (\frac{\tan (\frac{Φ i \cdot π}{180})}{f s})}

Go Factor of Safety with respect to Shear Strength

f s = ((\frac{γ'}{γ sat}) \cdot (\frac{\tan ((φ))}{\tan ((φ IF))}))

Go Saturated Unit Weight given Factor of Safety with respect to Shear Strength

γ sat = ((\frac{γ'}{\tan ((φ IF))}) \cdot (\frac{\tan ((φ))}{f s}))

How to Evaluate Effective Angle of Internal Friction given Weighted Friction Angle?

Effective Angle of Internal Friction given Weighted Friction Angle evaluator uses Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)) to evaluate the Effective Angle of Internal Friction, The Effective Angle of Internal Friction given Weighted Friction Angle formula is defined as the shear strength of soil due to the friction between soil particles when subjected to effective stress, calculated when we have prior information of weighted friction angle. Effective Angle of Internal Friction is denoted by φ' symbol.

How to evaluate Effective Angle of Internal Friction given Weighted Friction Angle using this online evaluator? To use this online evaluator for Effective Angle of Internal Friction given Weighted Friction Angle, enter Weighted Friction Angle for Internal Friction (φ_IF), Submerged Unit Weight (γ^'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat) and hit the calculate button.

FAQs on Effective Angle of Internal Friction given Weighted Friction Angle

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

The formula of Effective Angle of Internal Friction given Weighted Friction Angle is expressed as Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)). Here is an example- 568.1228 = 0.19198621771934/((31)/(2.8*9.98)).

How to calculate Effective Angle of Internal Friction given Weighted Friction Angle?

With Weighted Friction Angle for Internal Friction (φ_IF), Submerged Unit Weight (γ^'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat) we can find Effective Angle of Internal Friction given Weighted Friction Angle using the formula - Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)).

Can the Effective Angle of Internal Friction given Weighted Friction Angle be negative?

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

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

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

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Effective Angle of Internal Friction given Weighted Friction Angle Formula

Effective Angle of Internal Friction given Weighted Friction Angle Example

Effective Angle of Internal Friction given Weighted Friction Angle Solution

Effective Angle of Internal Friction given Weighted Friction Angle Formula Elements

Other formulas in Taylor's Stability Number and Stability Curves category

How to Evaluate Effective Angle of Internal Friction given Weighted Friction Angle?

FAQs on Effective Angle of Internal Friction given Weighted Friction Angle

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