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

GoCoefficient of Active Pressure given Total Thrust from Soil for Level Surface Formula

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Coefficient of Active Pressure is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil. Check FAQs

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

K_A - Coefficient of Active Pressure?φ - Angle of Internal Friction?π - Archimedes' constant?

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

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

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

Here is how the Coefficient of Active 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 Active Pressure given Angle of Internal Friction of Soil Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

K A = 0.163237191162672

LAST Step Rounding Answer

∴

K A = 0.1632

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

Variables

Constants

Functions

Coefficient of Active Pressure

Coefficient of Active Pressure is the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil.

Symbol: K_A

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Active 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 Active Pressure

Go Coefficient of Active Pressure given Total Thrust from Soil for Level Surface

K A = \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 Active Pressure given Angle of Internal Friction of Soil?

Coefficient of Active Pressure given Angle of Internal Friction of Soil evaluator uses Coefficient of Active Pressure = (tan((45*pi/180)-(Angle of Internal Friction/2)))^2 to evaluate the Coefficient of Active Pressure, The Coefficient of Active Pressure given Angle of Internal Friction of Soil is defined as the ratio of horizontal and vertical principal effective stresses when a retaining wall moves away (by a small amount) from the retained soil. Coefficient of Active Pressure is denoted by K_A symbol.

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

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

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

The formula of Coefficient of Active Pressure given Angle of Internal Friction of Soil is expressed as Coefficient of Active 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 Active Pressure given Angle of Internal Friction of Soil?

With Angle of Internal Friction (φ) we can find Coefficient of Active Pressure given Angle of Internal Friction of Soil using the formula - Coefficient of Active 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 Active Pressure?

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

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

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