Angle of Internal Friction given Weighted Friction Angle Calculator

✖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 [γ_sat]			+10% -10%
✖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 Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction given Weighted Friction Angle [φ]

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Formula

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Angle of Internal Friction given Weighted Friction Angle

Formula

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

Example

`"41.85161°"=("130°"*"9.98N/m³")/("31N/m³")`

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Angle of Internal Friction given Weighted Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant 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.
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 unit weight of weight of soil as observed underwater in a saturated condition of course.

STEP 1: Convert Input(s) to Base Unit

Weighted Friction Angle: 130 Degree --> 2.2689280275922 Radian (Check conversion here)
Saturated Unit Weight: 9.98 Newton per Cubic Meter --> 9.98 Newton per Cubic Meter No Conversion Required
Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = (φ_w*γ_sat)/(γ^') --> (2.2689280275922*9.98)/(31)

Evaluating ... ...

φ = 0.730448442431295

STEP 3: Convert Result to Output's Unit

0.730448442431295 Radian -->41.8516129032258 Degree (Check conversion here)

FINAL ANSWER

41.8516129032258 ≈ 41.85161 Degree <-- Angle of Internal Friction

(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 » Angle of Internal Friction given Weighted 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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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

Angle of Internal Friction given Weighted Friction Angle Formula

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

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 Angle of Internal Friction given Weighted Friction Angle?

Angle of Internal Friction given Weighted Friction Angle calculator uses Angle of Internal Friction = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight) to calculate the Angle of Internal Friction, The Angle of Internal Friction given Weighted Friction Angle is defined as the angle of internal friction when we have prior information of other parameters used. Angle of Internal Friction is denoted by φ symbol.

How to calculate Angle of Internal Friction given Weighted Friction Angle using this online calculator? To use this online calculator 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. Here is how the Angle of Internal Friction given Weighted Friction Angle calculation can be explained with given input values -> 2402.726 = (2.2689280275922*9.98)/(31).

FAQ

What is Angle of Internal Friction given Weighted Friction Angle?

The Angle of Internal Friction given Weighted Friction Angle is defined as the angle of internal friction when we have prior information of other parameters used and is represented as φ = (φ_w*γ_sat)/(γ^') or Angle of Internal Friction = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight). Weighted Friction Angle is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis, 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 is the unit weight of weight of soil as observed underwater in a saturated condition of course.

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

The Angle of Internal Friction given Weighted Friction Angle is defined as the angle of internal friction when we have prior information of other parameters used is calculated using Angle of Internal Friction = (Weighted Friction Angle*Saturated Unit Weight)/(Submerged Unit Weight). To calculate Angle of Internal Friction given Weighted Friction Angle, you need Weighted Friction Angle (φ_w), Saturated Unit Weight (γ_sat) & Submerged Unit Weight (γ^'). With our tool, you need to enter the respective value for Weighted Friction Angle, Saturated Unit Weight & Submerged 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 Angle of Internal Friction?

In this formula, Angle of Internal Friction uses Weighted Friction Angle, Saturated Unit Weight & Submerged Unit Weight. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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