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Weighted Friction Angle given Effective Angle of Internal Friction Formula

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

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

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

Weighted Friction Angle given Effective Angle of Internal Friction Example

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

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

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

11.0825 = \frac{31 \cdot 9.99}{2.8 \cdot 9.98}

11.0825° = \frac{31N/m³ \cdot 9.99°}{2.8 \cdot 9.98N/m³}

11.0825 = \frac{31 \cdot 9.99}{2.8 \cdot 9.98}

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Weighted Friction Angle given Effective Angle of Internal Friction Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

φ IF = \frac{31N/m³ \cdot 9.99°}{2.8 \cdot 9.98N/m³}

Next Step Convert Units

∴

φ IF = \frac{31N/m³ \cdot 0.1744rad}{2.8 \cdot 9.98N/m³}

Next Step Prepare to Evaluate

∴

φ IF = \frac{31 \cdot 0.1744}{2.8 \cdot 9.98}

Next Step Evaluate

∴

φ IF = 0.193426501592479rad

Next Step Convert to Output's Unit

∴

φ IF = 11.0825221872316°

LAST Step Rounding Answer

∴

φ IF = 11.0825°

Weighted Friction Angle given Effective Angle of Internal Friction Formula Elements

Variables

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

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

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 Weighted Friction Angle given Effective Angle of Internal Friction?

Weighted Friction Angle given Effective Angle of Internal Friction evaluator uses Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight) to evaluate the Weighted Friction Angle for Internal Friction, The Weighted Friction Angle given Effective Angle of Internal Friction formula is defined as a modified angle that accounts for various factors such as the weight and distribution of different soil layers or the effects of pore water pressure. It is often used in more complex geotechnical calculations where simple use of the effective angle of internal friction might not be sufficient to accurately represent the soil's behavior. Weighted Friction Angle for Internal Friction is denoted by φ_IF symbol.

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

FAQs on Weighted Friction Angle given Effective Angle of Internal Friction

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

The formula of Weighted Friction Angle given Effective Angle of Internal Friction is expressed as Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight). Here is an example- 634.9817 = (31*0.174358392274201)/(2.8*9.98).

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

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

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

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

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

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

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Weighted Friction Angle given Effective Angle of Internal Friction Formula

Weighted Friction Angle given Effective Angle of Internal Friction Example

Weighted Friction Angle given Effective Angle of Internal Friction Solution

Weighted Friction Angle given Effective Angle of Internal Friction Formula Elements

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

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

FAQs on Weighted Friction Angle given Effective Angle of Internal Friction

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