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Angle of Internal Friction given Weighted Friction Angle Formula

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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. Check FAQs

φ iw = \frac{φ w \cdot γ sat}{γ'}

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

Angle of Internal Friction given Weighted Friction Angle Example

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

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

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

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

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

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

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Angle of Internal Friction given Weighted Friction Angle Solution

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

FIRST Step Consider the formula

φ iw = \frac{φ w \cdot γ sat}{γ'}

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

φ iw = \frac{2.2689 \cdot 9.98}{31}

Next Step Evaluate

∴

φ iw = 0.730448442431295rad

Next Step Convert to Output's Unit

∴

φ iw = 41.8516129032258°

LAST Step Rounding Answer

∴

φ iw = 41.8516°

Angle of Internal Friction given Weighted Friction Angle Formula Elements

Variables

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

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

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

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 Angle of Internal Friction given Weighted Friction Angle?

Angle of Internal Friction given Weighted Friction Angle evaluator uses Internal Friction Angle with Weighted Frict. Angle = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight) to evaluate the Internal Friction Angle with Weighted Frict. Angle, The Angle of Internal Friction given Weighted Friction Angle formula is defined as a measure of the shear strength of a soil due to friction. It represents the angle at which the soil particles resist sliding over each other. This parameter is crucial in understanding the stability and behavior of soil under different loading conditions, considering weighted friction angle. Internal Friction Angle with Weighted Frict. Angle is denoted by φ_iw symbol.

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

FAQs on Angle of Internal Friction given Weighted Friction Angle

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

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

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

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

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

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

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

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 Angle of Internal Friction given Weighted Friction Angle can be measured.

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Angle of Internal Friction given Weighted Friction Angle Formula

Angle of Internal Friction given Weighted Friction Angle Example

Angle of Internal Friction given Weighted Friction Angle Solution

Angle of Internal Friction given Weighted Friction Angle Formula Elements

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

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

FAQs on Angle of Internal Friction given Weighted Friction Angle

Variable Name