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Weighted Friction Angle given Mobilised Friction Angle Formula

GoWeighted Friction Angle given Factor of Safety with respect to Shear Strength Formula

GoWeighted Friction Angle given Submerged Unit Weight Formula

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

φ w = \frac{γ' \cdot φ m}{γ sat}

φ_w - Weighted Friction Angle?γ^' - Submerged Unit Weight?φ_m - Angle of Mobilized Friction?γ_sat - Saturated Unit Weight?

Weighted Friction Angle given Mobilised Friction Angle Example

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With units

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Here is how the Weighted Friction Angle given Mobilised Friction Angle equation looks like with Values.

Here is how the Weighted Friction Angle given Mobilised Friction Angle equation looks like with Units.

Here is how the Weighted Friction Angle given Mobilised Friction Angle equation looks like.

124.2485 = \frac{31 \cdot 40}{9.98}

124.2485° = \frac{31N/m³ \cdot 40°}{9.98N/m³}

124.2485 = \frac{31 \cdot 40}{9.98}

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Weighted Friction Angle given Mobilised Friction Angle Solution

Follow our step by step solution on how to calculate Weighted Friction Angle given Mobilised Friction Angle?

FIRST Step Consider the formula

φ w = \frac{γ' \cdot φ m}{γ sat}

Next Step Substitute values of Variables

∴

φ w = \frac{31N/m³ \cdot 40°}{9.98N/m³}

Next Step Convert Units

∴

φ w = \frac{31N/m³ \cdot 0.6981rad}{9.98N/m³}

Next Step Prepare to Evaluate

∴

φ w = \frac{31 \cdot 0.6981}{9.98}

Next Step Evaluate

∴

φ w = 2.16854536319896rad

Next Step Convert to Output's Unit

∴

φ w = 124.248496993988°

LAST Step Rounding Answer

∴

φ w = 124.2485°

Weighted Friction Angle given Mobilised Friction Angle Formula Elements

Variables

Weighted Friction Angle

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

Symbol: φ_w

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Weighted Friction Angle

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

Angle of Mobilized Friction

Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.

Symbol: φ_m

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Mobilized Friction

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 to find Weighted Friction Angle

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 Weighted Friction Angle given Submerged Unit Weight

φ w = \frac{γ' \cdot φ iw}{γ sat}

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

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}))

Go Angle of Internal Friction given Factor of Safety

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

How to Evaluate Weighted Friction Angle given Mobilised Friction Angle?

Weighted Friction Angle given Mobilised Friction Angle evaluator uses Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight to evaluate the Weighted Friction Angle, The Weighted Friction Angle given Mobilised Friction Angle is defined as the mobilized friction angle adjusted by considering the distribution of normal stresses on the potential failure plane. Weighted Friction Angle is denoted by φ_w symbol.

How to evaluate Weighted Friction Angle given Mobilised Friction Angle using this online evaluator? To use this online evaluator for Weighted Friction Angle given Mobilised Friction Angle, enter Submerged Unit Weight (γ^'), Angle of Mobilized Friction (φ_m) & Saturated Unit Weight (γ_sat) and hit the calculate button.

FAQs on Weighted Friction Angle given Mobilised Friction Angle

What is the formula to find Weighted Friction Angle given Mobilised Friction Angle?

The formula of Weighted Friction Angle given Mobilised Friction Angle is expressed as Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight. Here is an example- 7118.914 = (31*0.698131700797601)/9.98.

How to calculate Weighted Friction Angle given Mobilised Friction Angle?

With Submerged Unit Weight (γ^'), Angle of Mobilized Friction (φ_m) & Saturated Unit Weight (γ_sat) we can find Weighted Friction Angle given Mobilised Friction Angle using the formula - Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight.

What are the other ways to Calculate Weighted Friction Angle?

Here are the different ways to Calculate Weighted Friction Angle-

Weighted Friction Angle=atan((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil))/Factor of Safety))
Weighted Friction Angle=(Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight

Can the Weighted Friction Angle given Mobilised Friction Angle be negative?

No, the Weighted Friction Angle given Mobilised Friction Angle, measured in Angle cannot be negative.

Which unit is used to measure Weighted Friction Angle given Mobilised Friction Angle?

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

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Weighted Friction Angle given Mobilised Friction Angle Formula

​GoWeighted Friction Angle given Factor of Safety with respect to Shear Strength Formula

​GoWeighted Friction Angle given Submerged Unit Weight Formula

Weighted Friction Angle given Mobilised Friction Angle Example

Weighted Friction Angle given Mobilised Friction Angle Solution

Weighted Friction Angle given Mobilised Friction Angle Formula Elements

Other Formulas to find Weighted Friction Angle

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

How to Evaluate Weighted Friction Angle given Mobilised Friction Angle?

FAQs on Weighted Friction Angle given Mobilised Friction Angle

Variable Name

GoWeighted Friction Angle given Factor of Safety with respect to Shear Strength Formula

GoWeighted Friction Angle given Submerged Unit Weight Formula