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

GoCoefficient of Passive Pressure given Angle of Internal Friction of Soil 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 = \frac{2 \cdot P}{γ \cdot {(h w)}^{2}}

K_P - Coefficient of Passive Pressure?P - Total Thrust of Soil?γ - Unit Weight of Soil?h_w - Total Height of Wall?

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

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Here is how the Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained equation looks like with Values.

Here is how the Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained equation looks like with Units.

Here is how the Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained equation looks like.

0.1156 = \frac{2 \cdot 10}{18 \cdot {(3.1)}^{2}}

0.1156 = \frac{2 \cdot 10kN/m}{18kN/m³ \cdot {(3.1m)}^{2}}

0.1156 = \frac{2 \cdot 10}{18 \cdot {(3.1)}^{2}}

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

Follow our step by step solution on how to calculate Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K P = \frac{2 \cdot 10kN/m}{18kN/m³ \cdot {(3.1m)}^{2}}

Next Step Convert Units

∴

K P = \frac{2 \cdot 10000N/m}{18000N/m³ \cdot {(3.1m)}^{2}}

Next Step Prepare to Evaluate

∴

K P = \frac{2 \cdot 10000}{18000 \cdot {(3.1)}^{2}}

Next Step Evaluate

∴

K P = 0.115620302925194

LAST Step Rounding Answer

∴

K P = 0.1156

Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained Formula Elements

Variables

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

Total Thrust of Soil

Total Thrust of Soil is the force acting on unit length of soil.

Symbol: P

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Total Thrust of Soil

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Total Height of Wall

Total height of wall which is under the consideration.

Symbol: h_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Total Height of Wall

Other Formulas to find Coefficient of Passive Pressure

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

K P = {(\tan ((45 \cdot \frac{π}{180}) - (\frac{φ}{2})))}^{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 Thrust of Soil that are Completely Restrained?

Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained evaluator uses Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2) to evaluate the Coefficient of Passive Pressure, The Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained is defined as ratio of horizontal to vertical stress. Coefficient of Passive Pressure is denoted by K_P symbol.

How to evaluate Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained using this online evaluator? To use this online evaluator for Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained, enter Total Thrust of Soil (P), Unit Weight of Soil (γ) & Total Height of Wall (h_w) and hit the calculate button.

FAQs on Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained

What is the formula to find Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained?

The formula of Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained is expressed as Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2). Here is an example- 0.11562 = (2*10000)/(18000*(3.1)^2).

How to calculate Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained?

With Total Thrust of Soil (P), Unit Weight of Soil (γ) & Total Height of Wall (h_w) we can find Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained using the formula - Coefficient of Passive Pressure = (2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2).

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=(tan((45*pi/180)-(Angle of Internal Friction/2)))^2
Coefficient of Passive Pressure=(2*Total Thrust of Soil)/(Unit Weight of Soil*(Total Height of Wall)^2)

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

​GoCoefficient of Passive Pressure given Angle of Internal Friction of Soil Formula

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

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

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

Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained Formula Elements

Other Formulas to find Coefficient of Passive Pressure

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

How to Evaluate Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained?

FAQs on Coefficient of Passive Pressure given Thrust of Soil that are Completely Restrained

Variable Name

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

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