Effective Angle of Internal Friction given Weighted Friction Angle Calculator

✖Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis.ⓘ Weighted Friction Angle for Internal Friction [φ_IF]			+10% -10%
✖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%
✖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.ⓘ Factor of Safety [f_s]			+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%

✖Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.ⓘ Effective Angle of Internal Friction given Weighted Friction Angle [φ']

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Effective Angle of Internal Friction given Weighted Friction Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight))
φ' = φ_IF/((γ^')/(f_s*γ_sat))
This formula uses 5 Variables

Variables Used

Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.
Weighted Friction Angle for Internal Friction - (Measured in Radian) - Weighted Friction Angle for Internal Friction 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 effective weight of the soil per unit volume when it is submerged in water.
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.
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

Weighted Friction Angle for Internal Friction: 11 Degree --> 0.19198621771934 Radian (Check conversion here)
Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required
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' = φ_IF/((γ^')/(f_s*γ_sat)) --> 0.19198621771934/((31)/(2.8*9.98))

Evaluating ... ...

φ' = 0.173060092514491

STEP 3: Convert Result to Output's Unit

0.173060092514491 Radian -->9.9156129032258 Degree (Check conversion here)

FINAL ANSWER

9.9156129032258 ≈ 9.915613 Degree <-- Effective Angle of Internal Friction

(Calculation completed in 00.004 seconds)

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< Taylor's Stability Number and Stability Curves Calculators

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

LaTeX 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))

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

LaTeX 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

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

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

LaTeX 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 Formula

LaTeX Go

Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight))
φ' = φ_IF/((γ^')/(f_s*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 Effective Angle of Internal Friction given Weighted Friction Angle?

Effective Angle of Internal Friction given Weighted Friction Angle calculator uses Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)) to calculate the Effective Angle of Internal Friction, The Effective Angle of Internal Friction given Weighted Friction Angle formula is defined as the shear strength of soil due to the friction between soil particles when subjected to effective stress, calculated when we have prior information of weighted friction angle. Effective Angle of Internal Friction is denoted by φ' symbol.

How to calculate Effective Angle of Internal Friction given Weighted Friction Angle using this online calculator? To use this online calculator for Effective Angle of Internal Friction given Weighted Friction Angle, enter Weighted Friction Angle for Internal Friction (φ_IF), Submerged Unit Weight (γ^'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat) and hit the calculate button. Here is how the Effective Angle of Internal Friction given Weighted Friction Angle calculation can be explained with given input values -> 568.1228 = 0.19198621771934/((31)/(2.8*9.98)).

FAQ

What is Effective Angle of Internal Friction given Weighted Friction Angle?

The Effective Angle of Internal Friction given Weighted Friction Angle formula is defined as the shear strength of soil due to the friction between soil particles when subjected to effective stress, calculated when we have prior information of weighted friction angle and is represented as φ' = φ_IF/((γ^')/(f_s*γ_sat)) or Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)). Weighted Friction Angle for Internal Friction is an effective measure combining materials' friction properties and their relative contributions in geotechnical engineering for stability analysis, Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water, 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 & 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 Effective Angle of Internal Friction given Weighted Friction Angle?

The Effective Angle of Internal Friction given Weighted Friction Angle formula is defined as the shear strength of soil due to the friction between soil particles when subjected to effective stress, calculated when we have prior information of weighted friction angle is calculated using Effective Angle of Internal Friction = Weighted Friction Angle for Internal Friction/((Submerged Unit Weight)/(Factor of Safety*Saturated Unit Weight)). To calculate Effective Angle of Internal Friction given Weighted Friction Angle, you need Weighted Friction Angle for Internal Friction (φ_IF), Submerged Unit Weight (γ^'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat). With our tool, you need to enter the respective value for Weighted Friction Angle for Internal Friction, Submerged Unit Weight, Factor of Safety & Saturated Unit Weight and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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