Weighted Friction Angle given Mobilised Friction Angle Calculator

✖Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.ⓘ 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%
✖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 [γ_sat]			+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 given Mobilised Friction Angle [φ_w]

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Formula

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Weighted Friction Angle given Mobilised Friction Angle

Formula

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

Example

`"124.2485°"=("31N/m³"*"40°")/"9.98N/m³"`

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Weighted Friction Angle given Mobilised Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.
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.
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.

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)
Saturated Unit Weight: 9.98 Newton per Cubic Meter --> 9.98 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ_w = (γ^'*φ_m)/γ_sat --> (31*0.698131700797601)/9.98

Evaluating ... ...

φ_w = 2.16854536319896

STEP 3: Convert Result to Output's Unit

2.16854536319896 Radian -->124.248496993988 Degree (Check conversion here)

FINAL ANSWER

124.248496993988 ≈ 124.2485 Degree <-- Weighted Friction Angle

(Calculation completed in 00.020 seconds)

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

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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*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 with respect to Shear Strength

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 Angle of Internal Friction = (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)/(Angle of Internal Friction)

Saturated Unit Weight given Weighted and Mobilised 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

Mobilised Friction Angle given Weighted Friction Angle

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

Weighted Friction Angle given Submerged Unit Weight

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

Saturated Unit Weight given Weighted Friction Angle

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

Weighted Friction Angle given Mobilised Friction Angle Formula

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

What is Angle of Internal Friction?

The angle of internal friction is a physical property of earth materials or the slope of a linear representation of the shear strength of earth materials.

How to Calculate Weighted Friction Angle given Mobilised Friction Angle?

Weighted Friction Angle given Mobilised Friction Angle calculator uses Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight to calculate the Weighted Friction Angle, The Weighted Friction Angle given Mobilised Friction Angle is defined as the mobilized friction angle adjusted by considering the distribution of normal stresses on the potential failure plane. Weighted Friction Angle is denoted by φ_w symbol.

How to calculate Weighted Friction Angle given Mobilised Friction Angle using this online calculator? To use this online calculator for Weighted Friction Angle given Mobilised Friction Angle, enter Submerged Unit Weight (γ^'), Angle of Mobilized Friction (φ_m) & Saturated Unit Weight (γ_sat) and hit the calculate button. Here is how the Weighted Friction Angle given Mobilised Friction Angle calculation can be explained with given input values -> 7104.677 = (31*0.698131700797601)/9.98.

FAQ

What is Weighted Friction Angle given Mobilised Friction Angle?

The Weighted Friction Angle given Mobilised Friction Angle is defined as the mobilized friction angle adjusted by considering the distribution of normal stresses on the potential failure plane and is represented as φ_w = (γ^'*φ_m)/γ_sat or Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight. Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course, Angle of Mobilized Friction is the slope angle at which an object starts sliding due to applied force & 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.

How to calculate Weighted Friction Angle given Mobilised Friction Angle?

The Weighted Friction Angle given Mobilised Friction Angle is defined as the mobilized friction angle adjusted by considering the distribution of normal stresses on the potential failure plane is calculated using Weighted Friction Angle = (Submerged Unit Weight*Angle of Mobilized Friction)/Saturated Unit Weight. To calculate Weighted Friction Angle given Mobilised Friction Angle, you need Submerged Unit Weight (γ^'), Angle of Mobilized Friction (φ_m) & Saturated Unit Weight (γ_sat). With our tool, you need to enter the respective value for Submerged Unit Weight, Angle of Mobilized Friction & Saturated Unit Weight 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 Weighted Friction Angle?

In this formula, Weighted Friction Angle uses Submerged Unit Weight, Angle of Mobilized Friction & Saturated Unit Weight. We can use 2 other way(s) to calculate the same, which is/are as follows -

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 Internal Friction)/Saturated Unit Weight

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