Angle of Internal Friction given Bearing Capacity Factors Calculator

✖Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.ⓘ Bearing Capacity Factor dependent on Unit Weight [N_γ]			+10% -10%
✖Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.ⓘ Bearing Capacity Factor dependent on Surcharge [N_q]			+10% -10%

✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction given Bearing Capacity Factors [φ]

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Formula

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Angle of Internal Friction given Bearing Capacity Factors

Formula

`"φ" = atan("N"_{"γ"}/("N"_{"q"}-1))/1.4`

Example

`"41.24131°"=atan("1.6"/("2.01"-1))/1.4`

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Angle of Internal Friction given Bearing Capacity Factors Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4
φ = atan(N_γ/(N_q-1))/1.4
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Bearing Capacity Factor dependent on Unit Weight - Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil.
Bearing Capacity Factor dependent on Surcharge - Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

STEP 1: Convert Input(s) to Base Unit

Bearing Capacity Factor dependent on Unit Weight: 1.6 --> No Conversion Required
Bearing Capacity Factor dependent on Surcharge: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

φ = atan(N_γ/(N_q-1))/1.4 --> atan(1.6/(2.01-1))/1.4

Evaluating ... ...

φ = 0.719796606244056

STEP 3: Convert Result to Output's Unit

0.719796606244056 Radian -->41.2413076456321 Degree (Check conversion here)

FINAL ANSWER

41.2413076456321 ≈ 41.24131 Degree <-- Angle of Internal Friction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Bearing Capacity of Soils: Meyerhof's Analysis » Angle of Internal Friction given Bearing Capacity Factors

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Birsa Institute of Technology (BIT), Sindri

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< 8 Bearing Capacity of Soils: Meyerhof's Analysis Calculators

Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction

Go Bearing Capacity Factor dependent on Surcharge = (exp(pi*tan((Angle of Internal Friction*pi)/180)))*(tan(((45+(Angle of Internal Friction/2))*pi)/180))^2

Bearing Capacity Factor Dependent on Unit Weight Given Angle of Internal Friction

Go Bearing Capacity Factor dependent on Unit Weight = (Bearing Capacity Factor dependent on Surcharge-1)*tan(1.4*(Angle of Internal Friction))

Angle of Internal Friction given Bearing Capacity Factors

Go Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4

Bearing Capacity Factor Dependent on Surcharge given Unit Weight Bearing Capacity Factor

Go Bearing Capacity Factor dependent on Surcharge = (Bearing Capacity Factor dependent on Unit Weight/tan(1.4*Angle of Internal Friction))+1

Length of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Go Length of Footing = (0.1*Width of Footing)/(1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))

Width of Footing given Angle of Shearing Resistance by Meyerhof's Analysis

Go Width of Footing = (1.1-(Angle of Internal Friction For Plain Strain/Angle of Internal Friction))*(Length of Footing/0.1)

Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

Go Angle of Internal Friction For Plain Strain = (1.1-0.1*(Width of Footing/Length of Footing))*Angle of Internal Friction

Triaxial Angle of Shearing Resistance by Meyerhof's Analysis

Go Angle of Internal Friction = Angle of Internal Friction For Plain Strain/(1.1-0.1*(Width of Footing/Length of Footing))

Angle of Internal Friction given Bearing Capacity Factors Formula

Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4
φ = atan(N_γ/(N_q-1))/1.4

What is Angle of Internal Friction?

Angle of internal friction could be described as a measure of the ability of a unit of rock or soil to withstand a shear stress. It is the angle (ϕ), measured between the normal force (N) and resultant force (R), that is attained when failure just occurs in response to a shearing stress (S).

What is Angle of Shearing Resistance ?

The angle of shearing resistance is known as a component of the shear strength of the soils which is basically frictional material and composed of individual particles. The shear strength is described by Mohr–Coulomb failure criterion adopted as widely accepted approach among the geotechnical engineers.

How to Calculate Angle of Internal Friction given Bearing Capacity Factors?

Angle of Internal Friction given Bearing Capacity Factors calculator uses Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4 to calculate the Angle of Internal Friction, The Angle of Internal Friction given Bearing Capacity Factors is defined as the value of 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 Bearing Capacity Factors using this online calculator? To use this online calculator for Angle of Internal Friction given Bearing Capacity Factors, enter Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) and hit the calculate button. Here is how the Angle of Internal Friction given Bearing Capacity Factors calculation can be explained with given input values -> 2373.462 = atan(1.6/(2.01-1))/1.4.

FAQ

What is Angle of Internal Friction given Bearing Capacity Factors?

The Angle of Internal Friction given Bearing Capacity Factors is defined as the value of angle of internal friction when we have prior information of other parameters used and is represented as φ = atan(N_γ/(N_q-1))/1.4 or Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4. Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil & Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

How to calculate Angle of Internal Friction given Bearing Capacity Factors?

The Angle of Internal Friction given Bearing Capacity Factors is defined as the value of angle of internal friction when we have prior information of other parameters used is calculated using Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4. To calculate Angle of Internal Friction given Bearing Capacity Factors, you need Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q). With our tool, you need to enter the respective value for Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge 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 Bearing Capacity Factor dependent on Unit Weight & Bearing Capacity Factor dependent on Surcharge. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Internal Friction = Angle of Internal Friction For Plain Strain/(1.1-0.1*(Width of Footing/Length of Footing))

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