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Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Formula

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

GoTotal Height of Wall given Total Thrust from Soil for Level Surface behind Wall Formula

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Total height of wall which is under the consideration. Check FAQs

h w = \sqrt{\frac{2 \cdot P}{γ \cdot K P}}

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

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Example

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Here is how the Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount equation looks like with Values.

Here is how the Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount equation looks like with Units.

Here is how the Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount equation looks like.

2.6352 = \sqrt{\frac{2 \cdot 10}{18 \cdot 0.16}}

2.6352m = \sqrt{\frac{2 \cdot 10kN/m}{18kN/m³ \cdot 0.16}}

2.6352 = \sqrt{\frac{2 \cdot 10}{18 \cdot 0.16}}

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Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Solution

Follow our step by step solution on how to calculate Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount?

FIRST Step Consider the formula

h w = \sqrt{\frac{2 \cdot P}{γ \cdot K P}}

Next Step Substitute values of Variables

∴

h w = \sqrt{\frac{2 \cdot 10kN/m}{18kN/m³ \cdot 0.16}}

Next Step Convert Units

∴

h w = \sqrt{\frac{2 \cdot 10000N/m}{18000N/m³ \cdot 0.16}}

Next Step Prepare to Evaluate

∴

h w = \sqrt{\frac{2 \cdot 10000}{18000 \cdot 0.16}}

Next Step Evaluate

∴

h w = 2.63523138347365m

LAST Step Rounding Answer

∴

h w = 2.6352m

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Formula Elements

Variables

Functions

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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Total Height of Wall

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 Height of Wall given Total Thrust from Soil for Level Surface behind Wall

h w = \sqrt{\frac{2 \cdot P}{γ \cdot K A}}

Go Total Height of Wall given Total Thrust from Soil that are Completely Restrained

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 Height of Wall given Thrust of Soil that are Completely Restrained and Surface is Level

h w = \sqrt{\frac{2 \cdot P}{γ \cdot K P}}

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 Thrust from Soil when Surface behind Wall is Level

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

Go Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall

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

How to Evaluate Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount?

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount evaluator uses Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure)) to evaluate the Total Height of Wall, The Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount is defined as total height of wall which is under consideration. Total Height of Wall is denoted by h_w symbol.

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

FAQs on Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount

What is the formula to find Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount?

The formula of Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount is expressed as Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure)). Here is an example- 2.721655 = sqrt((2*10000)/(18000*0.16)).

How to calculate Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount?

With Total Thrust of Soil (P), Unit Weight of Soil (γ) & Coefficient of Passive Pressure (K_P) we can find Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount using the formula - Total Height of Wall = sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Passive Pressure)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Height of Wall?

Here are the different ways to Calculate Total Height of Wall-

Total Height of Wall=sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*cos(Angle of Inclination)*((cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))))
Total Height of Wall=sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*Coefficient of Active Pressure))
Total Height of Wall=sqrt((2*Total Thrust of Soil)/(Unit Weight of Soil*cos(Angle of Inclination)*((cos(Angle of Inclination)+sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2))/(cos(Angle of Inclination)-sqrt((cos(Angle of Inclination))^2-(cos(Angle of Internal Friction))^2)))))

Can the Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount be negative?

No, the Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount, measured in Length cannot be negative.

Which unit is used to measure Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount?

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount can be measured.

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Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Formula

​GoTotal Height of Wall given Total Thrust from Soil that are Free to move Formula

​GoTotal Height of Wall given Total Thrust from Soil for Level Surface behind Wall Formula

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Example

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Solution

Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount Formula Elements

Other Formulas to find Total Height of Wall

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

How to Evaluate Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount?

FAQs on Height of Wall given Total Thrust of Soil that are Free to Move only Small Amount

Variable Name

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

GoTotal Height of Wall given Total Thrust from Soil for Level Surface behind Wall Formula