Weighted Friction Angle given Effective Angle of Internal Friction Calculator

✖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%
✖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 [φ']			+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%

✖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 given Effective Angle of Internal Friction [φ_IF]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Taylor's Stability Number and Stability Curves Formulas PDF PDF Image

Weighted Friction Angle given Effective Angle of Internal Friction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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

Submerged Unit Weight: 31 Newton per Cubic Meter --> 31 Newton per Cubic Meter No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
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_IF = (γ^'*φ')/(f_s*γ_sat) --> (31*0.174358392274201)/(2.8*9.98)

Evaluating ... ...

φ_IF = 0.193426501592479

STEP 3: Convert Result to Output's Unit

0.193426501592479 Radian -->11.0825221872316 Degree (Check conversion here)

FINAL ANSWER

11.0825221872316 ≈ 11.08252 Degree <-- Weighted Friction Angle for Internal Friction

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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))

Weighted Friction Angle given Effective Angle of Internal Friction Formula

LaTeX Go

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

What is Friction Angle?

The friction angle (ϕ) is the sum of the dilation angle determined by the roughness of the joint and the basic friction angle (ϕ b ) of the rock. At low normal stresses, the shear strength is affected only by the friction angle without cohesion l.

How to Calculate Weighted Friction Angle given Effective Angle of Internal Friction?

Weighted Friction Angle given Effective Angle of Internal Friction calculator uses Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight) to calculate the Weighted Friction Angle for Internal Friction, The Weighted Friction Angle given Effective Angle of Internal Friction formula is defined as a modified angle that accounts for various factors such as the weight and distribution of different soil layers or the effects of pore water pressure. It is often used in more complex geotechnical calculations where simple use of the effective angle of internal friction might not be sufficient to accurately represent the soil's behavior. Weighted Friction Angle for Internal Friction is denoted by φ_IF symbol.

How to calculate Weighted Friction Angle given Effective Angle of Internal Friction using this online calculator? To use this online calculator for Weighted Friction Angle given Effective Angle of Internal Friction, enter Submerged Unit Weight (γ^'), Effective Angle of Internal Friction (φ'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat) and hit the calculate button. Here is how the Weighted Friction Angle given Effective Angle of Internal Friction calculation can be explained with given input values -> 634.9817 = (31*0.174358392274201)/(2.8*9.98).

FAQ

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

The Weighted Friction Angle given Effective Angle of Internal Friction formula is defined as a modified angle that accounts for various factors such as the weight and distribution of different soil layers or the effects of pore water pressure. It is often used in more complex geotechnical calculations where simple use of the effective angle of internal friction might not be sufficient to accurately represent the soil's behavior and is represented as φ_IF = (γ^'*φ')/(f_s*γ_sat) or Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight). Submerged Unit Weight is the effective weight of the soil per unit volume when it is submerged in water, Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress, 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 Weighted Friction Angle given Effective Angle of Internal Friction?

The Weighted Friction Angle given Effective Angle of Internal Friction formula is defined as a modified angle that accounts for various factors such as the weight and distribution of different soil layers or the effects of pore water pressure. It is often used in more complex geotechnical calculations where simple use of the effective angle of internal friction might not be sufficient to accurately represent the soil's behavior is calculated using Weighted Friction Angle for Internal Friction = (Submerged Unit Weight*Effective Angle of Internal Friction)/(Factor of Safety*Saturated Unit Weight). To calculate Weighted Friction Angle given Effective Angle of Internal Friction, you need Submerged Unit Weight (γ^'), Effective Angle of Internal Friction (φ'), Factor of Safety (f_s) & Saturated Unit Weight (γ_sat). With our tool, you need to enter the respective value for Submerged Unit Weight, Effective Angle of Internal Friction, 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.

Home

FREE PDFs

🔍 Search