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Weighted Friction Angle given Submerged Unit Weight Formula

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

GoWeighted Friction Angle given Mobilised Friction Angle 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 iw}{γ sat}

φ_w - Weighted Friction Angle?γ^' - Submerged Unit Weight?φ_iw - Internal Friction Angle with Weighted Frict. Angle?γ_sat - Saturated Unit Weight?

Weighted Friction Angle given Submerged Unit Weight Example

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Here is how the Weighted Friction Angle given Submerged Unit Weight equation looks like with Values.

Here is how the Weighted Friction Angle given Submerged Unit Weight equation looks like with Units.

Here is how the Weighted Friction Angle given Submerged Unit Weight equation looks like.

129.995 = \frac{31 \cdot 41.85}{9.98}

129.995° = \frac{31N/m³ \cdot 41.85°}{9.98N/m³}

129.995 = \frac{31 \cdot 41.85}{9.98}

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Weighted Friction Angle given Submerged Unit Weight Solution

Follow our step by step solution on how to calculate Weighted Friction Angle given Submerged Unit Weight?

FIRST Step Consider the formula

φ w = \frac{γ' \cdot φ iw}{γ sat}

Next Step Substitute values of Variables

∴

φ w = \frac{31N/m³ \cdot 41.85°}{9.98N/m³}

Next Step Convert Units

∴

φ w = \frac{31N/m³ \cdot 0.7304rad}{9.98N/m³}

Next Step Prepare to Evaluate

∴

φ w = \frac{31 \cdot 0.7304}{9.98}

Next Step Evaluate

∴

φ w = 2.26884058624691rad

Next Step Convert to Output's Unit

∴

φ w = 129.99498997996°

LAST Step Rounding Answer

∴

φ w = 129.995°

Weighted Friction Angle given Submerged Unit Weight 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

Internal Friction Angle with Weighted Frict. Angle

Internal Friction Angle with Weighted Frict. Angle is a measure of the shear strength of a soil due to friction, considering angle of internal friction.

Symbol: φ_iw

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Internal Friction Angle with Weighted Frict. Angle

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 Mobilised Friction Angle

φ w = \frac{γ' \cdot φ m}{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 Submerged Unit Weight?

Weighted Friction Angle given Submerged Unit Weight evaluator uses Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight to evaluate the Weighted Friction Angle, The Weighted Friction Angle given Submerged Unit Weight is defined as the angle of internal friction for submerged soils, considering the submerged unit weight, influencing shear strength underwater. Weighted Friction Angle is denoted by φ_w symbol.

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

FAQs on Weighted Friction Angle given Submerged Unit Weight

What is the formula to find Weighted Friction Angle given Submerged Unit Weight?

The formula of Weighted Friction Angle given Submerged Unit Weight is expressed as Weighted Friction Angle = (Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Saturated Unit Weight. Here is an example- 7448.164 = (31*0.73042029195949)/9.98.

How to calculate Weighted Friction Angle given Submerged Unit Weight?

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

Can the Weighted Friction Angle given Submerged Unit Weight be negative?

No, the Weighted Friction Angle given Submerged Unit Weight, measured in Angle cannot be negative.

Which unit is used to measure Weighted Friction Angle given Submerged Unit Weight?

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

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Weighted Friction Angle given Submerged Unit Weight Formula

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

​GoWeighted Friction Angle given Mobilised Friction Angle Formula

Weighted Friction Angle given Submerged Unit Weight Example

Weighted Friction Angle given Submerged Unit Weight Solution

Weighted Friction Angle given Submerged Unit Weight 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 Submerged Unit Weight?

FAQs on Weighted Friction Angle given Submerged Unit Weight

Variable Name

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

GoWeighted Friction Angle given Mobilised Friction Angle Formula