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Coefficient of Passive Pressure given Angle of Internal Friction of Soil Formula

GoCoefficient of Passive Pressure given Thrust of Soil that are Completely Restrained Formula

GoCoefficient of Passive Pressure given Thrust of Soil are Free to Move only Small Amount Formula

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

K P = {(\tan ((45 \cdot \frac{π}{180}) - (\frac{φ}{2})))}^{2}

K_P - Coefficient of Passive Pressure?φ - Angle of Internal Friction?π - Archimedes' constant?

Coefficient of Passive Pressure given Angle of Internal Friction of Soil Example

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Here is how the Coefficient of Passive Pressure given Angle of Internal Friction of Soil equation looks like with Values.

Here is how the Coefficient of Passive Pressure given Angle of Internal Friction of Soil equation looks like with Units.

Here is how the Coefficient of Passive Pressure given Angle of Internal Friction of Soil equation looks like.

0.1632 = {(\tan ((45 \cdot \frac{3.1416}{180}) - (\frac{46}{2})))}^{2}

0.1632 = {(\tan ((45 \cdot \frac{3.1416}{180}) - (\frac{46°}{2})))}^{2}

0.1632 = {(\tan ((45 \cdot \frac{3.1416}{180}) - (\frac{46}{2})))}^{2}

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Coefficient of Passive Pressure given Angle of Internal Friction of Soil Solution

Follow our step by step solution on how to calculate Coefficient of Passive Pressure given Angle of Internal Friction of Soil?

FIRST Step Consider the formula

K P = {(\tan ((45 \cdot \frac{π}{180}) - (\frac{φ}{2})))}^{2}

Next Step Substitute values of Variables

∴

K P = {(\tan ((45 \cdot \frac{π}{180}) - (\frac{46°}{2})))}^{2}

Next Step Substitute values of Constants

∴

K P = {(\tan ((45 \cdot \frac{3.1416}{180}) - (\frac{46°}{2})))}^{2}

Next Step Convert Units

∴

K P = {(\tan ((45 \cdot \frac{3.1416}{180}) - (\frac{0.8029rad}{2})))}^{2}

Next Step Prepare to Evaluate

∴

K P = {(\tan ((45 \cdot \frac{3.1416}{180}) - (\frac{0.8029}{2})))}^{2}

Next Step Evaluate

∴

K P = 0.163237191162672

LAST Step Rounding Answer

∴

K P = 0.1632

Coefficient of Passive Pressure given Angle of Internal Friction of Soil Formula Elements

Variables

Constants

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 to find Coefficient of Passive Pressure

Go Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained

K P = \frac{2 \cdot P}{γ \cdot {(h w)}^{2}}

Go Coefficient of Passive Pressure given Thrust of Soil are Free to Move only Small Amount

K P = \frac{2 \cdot P}{γ \cdot {(h w)}^{2}}

Other formulas in Lateral Pressure for Cohesive and Non Cohesive Soil category

Go Total Thrust from Soil that are Free to Move

P = (0.5 \cdot γ \cdot {(h w)}^{2} \cdot \cos (i)) \cdot (\frac{\cos (i) - \sqrt{{(\cos (i))}^{2} - {(\cos (φ))}^{2}}}{\cos (i) + \sqrt{{(\cos (i))}^{2} - {(\cos (φ))}^{2}}})

Go Unit Weight of Soil given Total Thrust from Soil that are Free to Move

γ = \frac{2 \cdot P}{{(h w)}^{2} \cdot \cos (i)} \cdot (\frac{\cos (i) - \sqrt{{(\cos (i))}^{2} - {(\cos (φ))}^{2}}}{\cos (i) + \sqrt{{(\cos (i))}^{2} - {(\cos (φ))}^{2}}})

Go Total Height of Wall given Total Thrust from Soil that are Free to move

h w = \sqrt{\frac{2 \cdot P}{γ \cdot \cos (i) \cdot (\frac{\cos (i) - \sqrt{{(\cos (i))}^{2} - {(\cos (φ))}^{2}}}{\cos (i) + \sqrt{{(\cos (i))}^{2} - {(\cos (φ))}^{2}}})}}

Go Total Thrust from Soil when Surface behind Wall is Level

P = (0.5 \cdot γ \cdot {(h w)}^{2} \cdot K A)

How to Evaluate Coefficient of Passive Pressure given Angle of Internal Friction of Soil?

Coefficient of Passive Pressure given Angle of Internal Friction of Soil evaluator uses Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2 to evaluate the Coefficient of Passive Pressure, The Coefficient of Passive Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal to vertical stress when we have prior knowledge of angle of internal friction of soil. Coefficient of Passive Pressure is denoted by K_P symbol.

How to evaluate Coefficient of Passive Pressure given Angle of Internal Friction of Soil using this online evaluator? To use this online evaluator for Coefficient of Passive Pressure given Angle of Internal Friction of Soil, enter Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Coefficient of Passive Pressure given Angle of Internal Friction of Soil

What is the formula to find Coefficient of Passive Pressure given Angle of Internal Friction of Soil?

The formula of Coefficient of Passive Pressure given Angle of Internal Friction of Soil is expressed as Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2. Here is an example- 0.163237 = (tan((45*pi/180)-(0.802851455917241/2)))^2.

How to calculate Coefficient of Passive Pressure given Angle of Internal Friction of Soil?

With Angle of Internal Friction (φ) we can find Coefficient of Passive Pressure given Angle of Internal Friction of Soil using the formula - Coefficient of Passive Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2. This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Coefficient of Passive Pressure?

Here are the different ways to Calculate Coefficient of Passive Pressure-

Coefficient of Passive Pressure=(2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)
Coefficient of Passive Pressure=(2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)

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