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Saturated Unit Weight given Weighted and Mobilized Friction Angle Formula

GoSaturated Unit Weight given Factor of Safety with respect to Shear Strength Formula

GoSaturated Unit Weight given Weighted and Effective Friction Angle Formula

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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. Check FAQs

γ sat = \frac{γ' \cdot φ m}{φ w}

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

Saturated Unit Weight given Weighted and Mobilized Friction Angle Example

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

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

Here is how the Saturated Unit Weight given Weighted and Mobilized Friction Angle equation looks like.

9.5385 = \frac{31 \cdot 40}{130}

9.5385N/m³ = \frac{31N/m³ \cdot 40°}{130°}

9.5385 = \frac{31 \cdot 40}{130}

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Saturated Unit Weight given Weighted and Mobilized Friction Angle Solution

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

FIRST Step Consider the formula

γ sat = \frac{γ' \cdot φ m}{φ w}

Next Step Substitute values of Variables

∴

γ sat = \frac{31N/m³ \cdot 40°}{130°}

Next Step Convert Units

∴

γ sat = \frac{31N/m³ \cdot 0.6981rad}{2.2689rad}

Next Step Prepare to Evaluate

∴

γ sat = \frac{31 \cdot 0.6981}{2.2689}

Next Step Evaluate

∴

γ sat = 9.53846153846155N/m³

LAST Step Rounding Answer

∴

γ sat = 9.5385N/m³

Saturated Unit Weight given Weighted and Mobilized Friction Angle Formula Elements

Variables

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

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

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

Other Formulas to find Saturated Unit Weight

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 Saturated Unit Weight given Weighted and Effective Friction Angle

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

Go Saturated Unit Weight given Weighted Friction Angle

γ sat = \frac{γ' \cdot φ iw}{φ w}

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 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 Saturated Unit Weight given Weighted and Mobilized Friction Angle?

Saturated Unit Weight given Weighted and Mobilized Friction Angle evaluator uses Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle to evaluate the Saturated Unit Weight, The Saturated Unit Weight given Weighted and Mobilized Friction Angle formula is defined as soil density when fully saturated, considering weighted and mobilized friction angle representing shear resistance in soil mechanics. Saturated Unit Weight is denoted by γ_sat symbol.

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

FAQs on Saturated Unit Weight given Weighted and Mobilized Friction Angle

What is the formula to find Saturated Unit Weight given Weighted and Mobilized Friction Angle?

The formula of Saturated Unit Weight given Weighted and Mobilized Friction Angle is expressed as Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle. Here is an example- 9.538462 = (31*0.698131700797601)/2.2689280275922.

How to calculate Saturated Unit Weight given Weighted and Mobilized Friction Angle?

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

What are the other ways to Calculate Saturated Unit Weight?

Here are the different ways to Calculate Saturated Unit Weight-

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

Can the Saturated Unit Weight given Weighted and Mobilized Friction Angle be negative?

No, the Saturated Unit Weight given Weighted and Mobilized Friction Angle, measured in Specific Weight cannot be negative.

Which unit is used to measure Saturated Unit Weight given Weighted and Mobilized Friction Angle?

Saturated Unit Weight given Weighted and Mobilized Friction Angle is usually measured using the Newton per Cubic Meter[N/m³] for Specific Weight. Newton per Cubic Centimeter[N/m³], Newton per Cubic Millimeter[N/m³], Kilonewton per Cubic Meter[N/m³] are the few other units in which Saturated Unit Weight given Weighted and Mobilized Friction Angle can be measured.

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Saturated Unit Weight given Weighted and Mobilized Friction Angle Formula

​GoSaturated Unit Weight given Factor of Safety with respect to Shear Strength Formula

​GoSaturated Unit Weight given Weighted and Effective Friction Angle Formula

Saturated Unit Weight given Weighted and Mobilized Friction Angle Example

Saturated Unit Weight given Weighted and Mobilized Friction Angle Solution

Saturated Unit Weight given Weighted and Mobilized Friction Angle Formula Elements

Other Formulas to find Saturated Unit Weight

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

How to Evaluate Saturated Unit Weight given Weighted and Mobilized Friction Angle?

FAQs on Saturated Unit Weight given Weighted and Mobilized Friction Angle

Variable Name

GoSaturated Unit Weight given Factor of Safety with respect to Shear Strength Formula

GoSaturated Unit Weight given Weighted and Effective Friction Angle Formula