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Saturated Unit Weight given Weighted and Effective Friction Angle Formula

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

GoSaturated Unit Weight given Weighted and Mobilized 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'}{φ IF \cdot f s}

γ_sat - Saturated Unit Weight?γ^' - Submerged Unit Weight?φ' - Effective Angle of Internal Friction?φ_IF - Weighted Friction Angle for Internal Friction?f_s - Factor of Safety?

Saturated Unit Weight given Weighted and Effective Friction Angle Example

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

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

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

10.0549 = \frac{31 \cdot 9.99}{11 \cdot 2.8}

10.0549N/m³ = \frac{31N/m³ \cdot 9.99°}{11° \cdot 2.8}

10.0549 = \frac{31 \cdot 9.99}{11 \cdot 2.8}

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Saturated Unit Weight given Weighted and Effective Friction Angle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

γ sat = \frac{31N/m³ \cdot 9.99°}{11° \cdot 2.8}

Next Step Convert Units

∴

γ sat = \frac{31N/m³ \cdot 0.1744rad}{0.192rad \cdot 2.8}

Next Step Prepare to Evaluate

∴

γ sat = \frac{31 \cdot 0.1744}{0.192 \cdot 2.8}

Next Step Evaluate

∴

γ sat = 10.0548701298702N/m³

LAST Step Rounding Answer

∴

γ sat = 10.0549N/m³

Saturated Unit Weight given Weighted and Effective 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

Effective Angle of Internal Friction

Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective Angle of Internal Friction

Weighted Friction Angle for Internal Friction

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

Symbol: φ_IF

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Weighted Friction Angle for Internal Friction

Factor of Safety

Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

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 Mobilized Friction Angle

γ sat = \frac{γ' \cdot φ m}{φ w}

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 Effective Friction Angle?

Saturated Unit Weight given Weighted and Effective Friction Angle evaluator uses Saturated Unit Weight = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Factor of Safety) to evaluate the Saturated Unit Weight, The Saturated Unit Weight given Weighted and Effective Friction Angle formula is defined as the density of fully saturated soil, considering weighted and effective friction angles which describe soil shear strength under specific conditions. Saturated Unit Weight is denoted by γ_sat symbol.

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

FAQs on Saturated Unit Weight given Weighted and Effective Friction Angle

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

The formula of Saturated Unit Weight given Weighted and Effective Friction Angle is expressed as Saturated Unit Weight = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Factor of Safety). Here is an example- 10.05487 = (31*0.174358392274201)/(0.19198621771934*2.8).

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

With Submerged Unit Weight (γ^'), Effective Angle of Internal Friction (φ'), Weighted Friction Angle for Internal Friction (φ_IF) & Factor of Safety (f_s) we can find Saturated Unit Weight given Weighted and Effective Friction Angle using the formula - Saturated Unit Weight = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Factor of Safety).

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*Angle of Mobilized Friction)/Weighted Friction Angle
Saturated Unit Weight=(Submerged Unit Weight*Internal Friction Angle with Weighted Frict. Angle)/Weighted Friction Angle

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

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

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

Saturated Unit Weight given Weighted and Effective 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 Effective Friction Angle can be measured.

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Saturated Unit Weight given Weighted and Effective Friction Angle Formula

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

​GoSaturated Unit Weight given Weighted and Mobilized Friction Angle Formula

Saturated Unit Weight given Weighted and Effective Friction Angle Example

Saturated Unit Weight given Weighted and Effective Friction Angle Solution

Saturated Unit Weight given Weighted and Effective 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 Effective Friction Angle?

FAQs on Saturated Unit Weight given Weighted and Effective Friction Angle

Variable Name

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

GoSaturated Unit Weight given Weighted and Mobilized Friction Angle Formula