✖Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.ⓘ Submerged Unit Weight [γ^']			+10% -10%
✖Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.ⓘ Angle of Mobilized Friction [φ_m]			+10% -10%
✖Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.ⓘ Weighted Friction Angle [φ_w]			+10% -10%

✖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.ⓘ Saturated Unit Weight given Weighted and Mobilized Friction Angle [γ_sat]

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Formula

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Saturated Unit Weight given Weighted and Mobilized Friction Angle

Formula

`"γ"_{"sat"} = ("γ"^{"'"}*"φ"_{"m"})/"φ"_{"w"}`

Example

`"9.538462N/m³"=("31N/m³"*"40°")/"130°"`

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Saturated Unit Weight given Weighted and Mobilized Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle
γ_sat = (γ^'*φ_m)/φ_w
This formula uses 4 Variables

Variables Used

Saturated Unit Weight - (Measured in Newton per Cubic Meter) - 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.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water.
Angle of Mobilized Friction - (Measured in Radian) - Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force.
Weighted Friction Angle - (Measured in Radian) - Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.

STEP 1: Convert Input(s) to Base Unit

Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
Angle of Mobilized Friction: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Weighted Friction Angle: 130 Degree --> 2.2689280275922 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ_sat = (γ^'*φ_m)/φ_w --> (31*0.698131700797601)/2.2689280275922

Evaluating ... ...

γ_sat = 9.53846153846155

STEP 3: Convert Result to Output's Unit

9.53846153846155 Newton per Cubic Meter --> No Conversion Required

FINAL ANSWER

9.53846153846155 ≈ 9.538462 Newton per Cubic Meter <-- Saturated Unit Weight

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » Taylor's Stability Number and Stability Curves » Saturated Unit Weight given Weighted and Mobilized Friction Angle

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< 18 Taylor's Stability Number and Stability Curves Calculators

Submerged Unit Weight given Factor of Safety with respect to Shear Strength

Go Submerged Unit Weight = tan((Weighted Friction Angle*pi)/180)/((1/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil*pi)/180)/Factor of Safety))

Submerged Unit Weight given Weighted and Effective Friction Angle

Go Submerged Unit Weight = (Weighted Friction Angle for Internal Friction*(180/pi))/((Effective Angle of Internal Friction*(180/pi))/(Factor of Safety*Saturated Unit Weight))

Saturated Unit Weight given Factor of Safety with respect to Shear Strength

Go Saturated Unit Weight = ((Submerged Unit Weight/tan((Weighted Friction Angle for Internal Friction)))*(tan((Angle of Internal Friction))/Factor of Safety))

Factor of Safety with respect to Shear Strength

Go Factor of Safety = ((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction))/tan((Weighted Friction Angle for Internal Friction))))

Angle of Internal Friction given Factor of Safety

Go Angle of Internal Friction = atan((Factor of Safety*Saturated Unit Weight*tan((Weighted Friction Angle for Internal Friction)))/Submerged Unit Weight)

Weighted Friction Angle given Factor of Safety with respect to Shear Strength

Go Weighted Friction Angle = atan((Submerged Unit Weight/Saturated Unit Weight)*(tan((Angle of Internal Friction of Soil))/Factor of Safety))

Effective Angle of Internal Friction given Weighted Friction Angle

Go Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight))

Factor of Safety with respect to Shear Strength given Weighted Friction Angle

Go Factor of Safety = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Saturated Unit Weight)

Weighted Friction Angle given Effective Angle of Internal Friction

Go Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight)

Saturated Unit Weight given Weighted and Effective Friction Angle

Go Saturated Unit Weight = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Weighted Friction Angle for Internal Friction*Factor of Safety)

Angle of Internal Friction given Weighted Friction Angle

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

Submerged Unit Weight given Weighted Friction Angle

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

Weighted Friction Angle given Submerged Unit Weight

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

Saturated Unit Weight given Weighted Friction Angle

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

Saturated Unit Weight given Weighted and Mobilized Friction Angle

Go Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle

Submerged Unit Weight given Weighted and Mobilised Friction Angle

Go Submerged Unit Weight = (Saturated Unit Weight*Weighted Friction Angle)/Angle of Mobilized Friction

Weighted Friction Angle given Mobilised Friction Angle

Go Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight

Mobilized Friction Angle given Weighted Friction Angle

Go Angle of Mobilized Friction = (Saturated Unit Weight*Weighted Friction Angle)/Submerged Unit Weight

Saturated Unit Weight given Weighted and Mobilized Friction Angle Formula

Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle
γ_sat = (γ^'*φ_m)/φ_w

What is Saturated Unit Weight?

Saturated unit weight is equal to the bulk density when the total voids is filled up with water.Buoyant unit weight or submerged unit weight is the effective mass per unit volume when the soil is submerged below standing water or below the ground water table.

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

Saturated Unit Weight given Weighted and Mobilized Friction Angle calculator uses Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle to calculate 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 calculate Saturated Unit Weight given Weighted and Mobilized Friction Angle using this online calculator? To use this online calculator 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. Here is how the Saturated Unit Weight given Weighted and Mobilized Friction Angle calculation can be explained with given input values -> 9.538462 = (31*0.698131700797601)/2.2689280275922.

FAQ

What is Saturated Unit Weight given Weighted and Mobilized Friction Angle?

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 and is represented as γ_sat = (γ^'*φ_m)/φ_w or Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle. Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water, Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force & Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.

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

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 is calculated using Saturated Unit Weight = (Submerged Unit Weight*Angle of Mobilized Friction)/Weighted Friction Angle. To calculate Saturated Unit Weight given Weighted and Mobilized Friction Angle, you need Submerged Unit Weight (γ^'), Angle of Mobilized Friction (φ_m) & Weighted Friction Angle (φ_w). With our tool, you need to enter the respective value for Submerged Unit Weight, Angle of Mobilized Friction & Weighted Friction Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Saturated Unit Weight?

In this formula, Saturated Unit Weight uses Submerged Unit Weight, Angle of Mobilized Friction & Weighted Friction Angle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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