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Passive Earth Pressure Coefficient given Bearing Capacity Factor Formula

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

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

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

Passive Earth Pressure Coefficient given Bearing Capacity Factor Example

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

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

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

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

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

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

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Passive Earth Pressure Coefficient given Bearing Capacity Factor Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K P = ((\frac{1.6}{\frac{\tan ((45°))}{2}}) + 1) \cdot {(\cos ((45°)))}^{2}

Next Step Convert Units

∴

K P = ((\frac{1.6}{\frac{\tan ((0.7854rad))}{2}}) + 1) \cdot {(\cos ((0.7854rad)))}^{2}

Next Step Prepare to Evaluate

∴

K P = ((\frac{1.6}{\frac{\tan ((0.7854))}{2}}) + 1) \cdot {(\cos ((0.7854)))}^{2}

Next Step Evaluate

∴

K P = 2.10000000000109

LAST Step Rounding Answer

∴

K P = 2.1

Passive Earth Pressure Coefficient given Bearing Capacity Factor Formula Elements

Variables

Functions

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

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

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 Passive Earth Pressure Coefficient given Bearing Capacity Factor?

Passive Earth Pressure Coefficient given Bearing Capacity Factor evaluator uses Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2 to evaluate the Coefficient of Passive Pressure, The Passive Earth Pressure Coefficient given Bearing Capacity Factor is defined as the value of passive earth pressure coefficient when we have prior information of other parameters used. Coefficient of Passive Pressure is denoted by K_P symbol.

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

FAQs on Passive Earth Pressure Coefficient given Bearing Capacity Factor

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

The formula of Passive Earth Pressure Coefficient given Bearing Capacity Factor is expressed as Coefficient of Passive Pressure = ((Bearing Capacity Factor dependent on Unit Weight/(tan((Angle of Shearing Resistance))/2))+1)*(cos((Angle of Shearing Resistance)))^2. Here is an example- 2.1 = ((1.6/(tan((0.785398163397301))/2))+1)*(cos((0.785398163397301)))^2.

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

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

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Passive Earth Pressure Coefficient given Bearing Capacity Factor Formula

Passive Earth Pressure Coefficient given Bearing Capacity Factor Example

Passive Earth Pressure Coefficient given Bearing Capacity Factor Solution

Passive Earth Pressure Coefficient given Bearing Capacity Factor Formula Elements

Other formulas in Terzaghi's Analysis Purely Cohesive Soil category

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

FAQs on Passive Earth Pressure Coefficient given Bearing Capacity Factor

Variable Name