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Angle of Internal Friction given Bearing Capacity Factors Formula

GoTriaxial Angle of Shearing Resistance by Meyerhof's Analysis Formula

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Angle of Internal Friction is the angle measured between the normal force and resultant force . Check FAQs

φ = a \frac{\tan (\frac{N γ}{N q - 1})}{1.4}

φ - Angle of Internal Friction?N_γ - Bearing Capacity Factor dependent on Unit Weight?N_q - Bearing Capacity Factor dependent on Surcharge?

Angle of Internal Friction given Bearing Capacity Factors Example

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Here is how the Angle of Internal Friction given Bearing Capacity Factors equation looks like with Values.

Here is how the Angle of Internal Friction given Bearing Capacity Factors equation looks like with Units.

Here is how the Angle of Internal Friction given Bearing Capacity Factors equation looks like.

41.2413 = a \frac{\tan (\frac{1.6}{2.01 - 1})}{1.4}

41.2413° = a \frac{\tan (\frac{1.6}{2.01 - 1})}{1.4}

41.2413 = a \frac{\tan (\frac{1.6}{2.01 - 1})}{1.4}

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Angle of Internal Friction given Bearing Capacity Factors Solution

Follow our step by step solution on how to calculate Angle of Internal Friction given Bearing Capacity Factors?

FIRST Step Consider the formula

φ = a \frac{\tan (\frac{N γ}{N q - 1})}{1.4}

Next Step Substitute values of Variables

∴

φ = a \frac{\tan (\frac{1.6}{2.01 - 1})}{1.4}

Next Step Prepare to Evaluate

∴

φ = a \frac{\tan (\frac{1.6}{2.01 - 1})}{1.4}

Next Step Evaluate

∴

φ = 0.719796606244056rad

Next Step Convert to Output's Unit

∴

φ = 41.2413076456321°

LAST Step Rounding Answer

∴

φ = 41.2413°

Angle of Internal Friction given Bearing Capacity Factors Formula Elements

Variables

Functions

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force .

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

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.

Symbol: N_γ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Unit Weight

Bearing Capacity Factor dependent on Surcharge

Bearing Capacity Factor dependent on Surcharge is a constant whose value depends upon surcharge.

Symbol: N_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bearing Capacity Factor dependent on Surcharge

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.

Syntax: 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.

Syntax: atan(Number)

Other Formulas to find Angle of Internal Friction

Go Triaxial Angle of Shearing Resistance by Meyerhof's Analysis

φ = \frac{Φ p}{1.1 - 0.1 \cdot (\frac{B}{L})}

Other formulas in Bearing Capacity of Soils by Meyerhof's Analysis category

Go Plane Strain Angle of Shearing Resistance by Meyerhof's Analysis

Φ p = (1.1 - 0.1 \cdot (\frac{B}{L})) \cdot φ

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

B = (1.1 - (\frac{Φ p}{φ})) \cdot (\frac{L}{0.1})

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

L = \frac{0.1 \cdot B}{1.1 - (\frac{Φ p}{φ})}

Go Bearing Capacity Factor Dependent on Surcharge given Angle of Internal Friction

N q = (\exp (π \cdot \tan (\frac{φ \cdot π}{180}))) \cdot {(\tan (\frac{(45 + (\frac{φ}{2})) \cdot π}{180}))}^{2}

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

Angle of Internal Friction given Bearing Capacity Factors evaluator uses Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4 to evaluate 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 evaluate Angle of Internal Friction given Bearing Capacity Factors using this online evaluator? To use this online evaluator 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.

FAQs on Angle of Internal Friction given Bearing Capacity Factors

What is the formula to find Angle of Internal Friction given Bearing Capacity Factors?

The formula of Angle of Internal Friction given Bearing Capacity Factors is expressed as Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4. Here is an example- 2373.462 = atan(1.6/(2.01-1))/1.4.

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

With Bearing Capacity Factor dependent on Unit Weight (N_γ) & Bearing Capacity Factor dependent on Surcharge (N_q) we can find Angle of Internal Friction given Bearing Capacity Factors using the formula - Angle of Internal Friction = atan(Bearing Capacity Factor dependent on Unit Weight/(Bearing Capacity Factor dependent on Surcharge-1))/1.4. This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

What are the other ways to Calculate Angle of Internal Friction?

Here are the different ways to Calculate Angle of Internal Friction-

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

Can the Angle of Internal Friction given Bearing Capacity Factors be negative?

No, the Angle of Internal Friction given Bearing Capacity Factors, measured in Angle cannot be negative.

Which unit is used to measure Angle of Internal Friction given Bearing Capacity Factors?

Angle of Internal Friction given Bearing Capacity Factors is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Internal Friction given Bearing Capacity Factors can be measured.

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Angle of Internal Friction given Bearing Capacity Factors Formula

​GoTriaxial Angle of Shearing Resistance by Meyerhof's Analysis Formula

Angle of Internal Friction given Bearing Capacity Factors Example

Angle of Internal Friction given Bearing Capacity Factors Solution

Angle of Internal Friction given Bearing Capacity Factors Formula Elements

Other Formulas to find Angle of Internal Friction

Other formulas in Bearing Capacity of Soils by Meyerhof's Analysis category

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

FAQs on Angle of Internal Friction given Bearing Capacity Factors

Variable Name

GoTriaxial Angle of Shearing Resistance by Meyerhof's Analysis Formula