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Mobilized Friction Angle given Weighted Friction Angle Formula

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

φ m = \frac{γ sat \cdot φ w}{γ'}

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

Mobilized Friction Angle given Weighted Friction Angle Example

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

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

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

41.8516 = \frac{9.98 \cdot 130}{31}

41.8516° = \frac{9.98N/m³ \cdot 130°}{31N/m³}

41.8516 = \frac{9.98 \cdot 130}{31}

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Mobilized Friction Angle given Weighted Friction Angle Solution

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

FIRST Step Consider the formula

φ m = \frac{γ sat \cdot φ w}{γ'}

Next Step Substitute values of Variables

∴

φ m = \frac{9.98N/m³ \cdot 130°}{31N/m³}

Next Step Convert Units

∴

φ m = \frac{9.98N/m³ \cdot 2.2689rad}{31N/m³}

Next Step Prepare to Evaluate

∴

φ m = \frac{9.98 \cdot 2.2689}{31}

Next Step Evaluate

∴

φ m = 0.730448442431295rad

Next Step Convert to Output's Unit

∴

φ m = 41.8516129032258°

LAST Step Rounding Answer

∴

φ m = 41.8516°

Mobilized Friction Angle given Weighted Friction Angle Formula Elements

Variables

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

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

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 Mobilized Friction Angle given Weighted Friction Angle?

Mobilized Friction Angle given Weighted Friction Angle evaluator uses Angle of Mobilized Friction = (Saturated Unit Weight*Weighted Friction Angle)/Submerged Unit Weight to evaluate the Angle of Mobilized Friction, The Mobilized Friction Angle given Weighted Friction Angle formula is defined as the slope angle at which an object starts sliding due to applied force, calculated when we have prior information of weighted friction angle. Angle of Mobilized Friction is denoted by φ_m symbol.

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

FAQs on Mobilized Friction Angle given Weighted Friction Angle

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

The formula of Mobilized Friction Angle given Weighted Friction Angle is expressed as Angle of Mobilized Friction = (Saturated Unit Weight*Weighted Friction Angle)/Submerged Unit Weight. Here is an example- 2397.921 = (9.98*2.2689280275922)/31.

How to calculate Mobilized Friction Angle given Weighted Friction Angle?

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

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

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

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

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

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Mobilized Friction Angle given Weighted Friction Angle Formula

Mobilized Friction Angle given Weighted Friction Angle Example

Mobilized Friction Angle given Weighted Friction Angle Solution

Mobilized Friction Angle given Weighted Friction Angle Formula Elements

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

How to Evaluate Mobilized Friction Angle given Weighted Friction Angle?

FAQs on Mobilized Friction Angle given Weighted Friction Angle

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