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Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Formula

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Bearing Capacity Factor dependent on Unit Weight is a constant whose value depends upon unit weight of soil. Check FAQs

N γ = (\frac{\tan ((φ))}{2}) \cdot ((\frac{K P}{{(\cos (φ))}^{2}}) - 1)

N_γ - Bearing Capacity Factor dependent on Unit Weight?φ - Angle of Shearing Resistance?K_P - Coefficient of Passive Pressure?

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Example

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Here is how the Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient equation looks like with Values.

Here is how the Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient equation looks like with Units.

Here is how the Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient equation looks like.

1.6 = (\frac{\tan ((45))}{2}) \cdot ((\frac{2.1}{{(\cos (45))}^{2}}) - 1)

1.6 = (\frac{\tan ((45°))}{2}) \cdot ((\frac{2.1}{{(\cos (45°))}^{2}}) - 1)

1.6 = (\frac{\tan ((45))}{2}) \cdot ((\frac{2.1}{{(\cos (45))}^{2}}) - 1)

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Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Solution

Follow our step by step solution on how to calculate Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient?

FIRST Step Consider the formula

N γ = (\frac{\tan ((φ))}{2}) \cdot ((\frac{K P}{{(\cos (φ))}^{2}}) - 1)

Next Step Substitute values of Variables

∴

N γ = (\frac{\tan ((45°))}{2}) \cdot ((\frac{2.1}{{(\cos (45°))}^{2}}) - 1)

Next Step Convert Units

∴

N γ = (\frac{\tan ((0.7854rad))}{2}) \cdot ((\frac{2.1}{{(\cos (0.7854rad))}^{2}}) - 1)

Next Step Prepare to Evaluate

∴

N γ = (\frac{\tan ((0.7854))}{2}) \cdot ((\frac{2.1}{{(\cos (0.7854))}^{2}}) - 1)

Next Step Evaluate

∴

N γ = 1.59999999999891

LAST Step Rounding Answer

∴

N γ = 1.6

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Formula Elements

Variables

Functions

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

Angle of Shearing Resistance

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.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Shearing Resistance

Coefficient of Passive Pressure

Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.

Symbol: K_P

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Passive Pressure

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

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)

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

Go Bearing Capacity for Purely Cohesive Soil

q f = ((C s \cdot N c) + (σ s \cdot N q))

Go Cohesion of Soil given Bearing Capacity for Purely Cohesive Soil

C s = \frac{q fc - (σ s \cdot N q)}{N c}

Go Bearing Capacity Factor Dependent on cohesion for Purely Cohesive Soil

N c = \frac{q fc - ((σ s) \cdot N q)}{C s}

Go Effective Surcharge given Bearing Capacity for Purely Cohesive Soil

σ s = \frac{q f - (C s \cdot N c)}{N q}

How to Evaluate Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient?

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient evaluator uses Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1) to evaluate the Bearing Capacity Factor dependent on Unit Weight, The Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient is defined as the value of bearing capacity factor dependent on unit weight when we have prior information of other parameters used. Bearing Capacity Factor dependent on Unit Weight is denoted by N_γ symbol.

How to evaluate Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient using this online evaluator? To use this online evaluator for Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient, enter Angle of Shearing Resistance (φ) & Coefficient of Passive Pressure (K_P) and hit the calculate button.

FAQs on Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient

What is the formula to find Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient?

The formula of Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient is expressed as Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1). Here is an example- -0.34 = (tan((0.785398163397301))/2)*((2.1/(cos(0.785398163397301))^2)-1).

How to calculate Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient?

With Angle of Shearing Resistance (φ) & Coefficient of Passive Pressure (K_P) we can find Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient using the formula - Bearing Capacity Factor dependent on Unit Weight = (tan((Angle of Shearing Resistance))/2)*((Coefficient of Passive Pressure/(cos(Angle of Shearing Resistance))^2)-1). This formula also uses Cosine (cos), Tangent (tan) function(s).

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Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Formula

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Example

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Solution

Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient Formula Elements

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

How to Evaluate Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient?

FAQs on Bearing Capacity Factor Dependent on Weight given Passive Earth Pressure Coefficient

Variable Name