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Cohesion of soil given Total Thrust from Soil that are Free to Move Formula

GoCohesion of soil given Total Thrust from Soil with Small Angles of Internal Friction Formula

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Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil. Check FAQs

C = (0.25 \cdot γ \cdot h w \cdot \sqrt{K A}) - (0.5 \cdot \frac{P}{h w} \cdot \sqrt{K A})

C - Cohesion in Soil as Kilopascal?γ - Unit Weight of Soil?h_w - Total Height of Wall?K_A - Coefficient of Active Pressure?P - Total Thrust of Soil?

Cohesion of soil given Total Thrust from Soil that are Free to Move Example

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Here is how the Cohesion of soil given Total Thrust from Soil that are Free to Move equation looks like with Values.

Here is how the Cohesion of soil given Total Thrust from Soil that are Free to Move equation looks like with Units.

Here is how the Cohesion of soil given Total Thrust from Soil that are Free to Move equation looks like.

4.7781 = (0.25 \cdot 18 \cdot 3.1 \cdot \sqrt{0.15}) - (0.5 \cdot \frac{10}{3.1} \cdot \sqrt{0.15})

4.7781kPa = (0.25 \cdot 18kN/m³ \cdot 3.1m \cdot \sqrt{0.15}) - (0.5 \cdot \frac{10kN/m}{3.1m} \cdot \sqrt{0.15})

4.7781 = (0.25 \cdot 18 \cdot 3.1 \cdot \sqrt{0.15}) - (0.5 \cdot \frac{10}{3.1} \cdot \sqrt{0.15})

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Cohesion of soil given Total Thrust from Soil that are Free to Move Solution

Follow our step by step solution on how to calculate Cohesion of soil given Total Thrust from Soil that are Free to Move?

FIRST Step Consider the formula

C = (0.25 \cdot γ \cdot h w \cdot \sqrt{K A}) - (0.5 \cdot \frac{P}{h w} \cdot \sqrt{K A})

Next Step Substitute values of Variables

∴

C = (0.25 \cdot 18kN/m³ \cdot 3.1m \cdot \sqrt{0.15}) - (0.5 \cdot \frac{10kN/m}{3.1m} \cdot \sqrt{0.15})

Next Step Convert Units

∴

C = (0.25 \cdot 18000N/m³ \cdot 3.1m \cdot \sqrt{0.15}) - (0.5 \cdot \frac{10000N/m}{3.1m} \cdot \sqrt{0.15})

Next Step Prepare to Evaluate

∴

C = (0.25 \cdot 18000 \cdot 3.1 \cdot \sqrt{0.15}) - (0.5 \cdot \frac{10000}{3.1} \cdot \sqrt{0.15})

Next Step Evaluate

∴

C = 4778.13703470009Pa

Next Step Convert to Output's Unit

∴

C = 4.77813703470009kPa

LAST Step Rounding Answer

∴

C = 4.7781kPa

Cohesion of soil given Total Thrust from Soil that are Free to Move Formula Elements

Variables

Functions

Cohesion in Soil as Kilopascal

Cohesion in Soil as Kilopascal is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: C

Measurement: PressureUnit: kPa

Note: Value should be between 0 to 50.

Formulas to find Cohesion in Soil as Kilopascal

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

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

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

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 Cohesion in Soil as Kilopascal

Go Cohesion of soil given Total Thrust from Soil with Small Angles of Internal Friction

C = ((0.25 \cdot γ \cdot h w) - (0.5 \cdot \frac{P}{h w}))

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 Cohesion of soil given Total Thrust from Soil that are Free to Move?

Cohesion of soil given Total Thrust from Soil that are Free to Move evaluator uses Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure)) to evaluate the Cohesion in Soil as Kilopascal, The Cohesion of soil given Total Thrust from Soil that are Free to Move is defined as ability to stay or fit together well. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to evaluate Cohesion of soil given Total Thrust from Soil that are Free to Move using this online evaluator? To use this online evaluator for Cohesion of soil given Total Thrust from Soil that are Free to Move, enter Unit Weight of Soil (γ), Total Height of Wall (h_w), Coefficient of Active Pressure (K_A) & Total Thrust of Soil (P) and hit the calculate button.

FAQs on Cohesion of soil given Total Thrust from Soil that are Free to Move

What is the formula to find Cohesion of soil given Total Thrust from Soil that are Free to Move?

The formula of Cohesion of soil given Total Thrust from Soil that are Free to Move is expressed as Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure)). Here is an example- 0.004778 = (0.25*18000*3.1*sqrt(0.15))-(0.5*10000/3.1*sqrt(0.15)).

How to calculate Cohesion of soil given Total Thrust from Soil that are Free to Move?

With Unit Weight of Soil (γ), Total Height of Wall (h_w), Coefficient of Active Pressure (K_A) & Total Thrust of Soil (P) we can find Cohesion of soil given Total Thrust from Soil that are Free to Move using the formula - Cohesion in Soil as Kilopascal = (0.25*Unit Weight of Soil*Total Height of Wall*sqrt(Coefficient of Active Pressure))-(0.5*Total Thrust of Soil/Total Height of Wall*sqrt(Coefficient of Active Pressure)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Cohesion in Soil as Kilopascal?

Here are the different ways to Calculate Cohesion in Soil as Kilopascal-

Cohesion in Soil as Kilopascal=((0.25*Unit Weight of Soil*Total Height of Wall)-(0.5*Total Thrust of Soil/Total Height of Wall))

Can the Cohesion of soil given Total Thrust from Soil that are Free to Move be negative?

No, the Cohesion of soil given Total Thrust from Soil that are Free to Move, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of soil given Total Thrust from Soil that are Free to Move?

Cohesion of soil given Total Thrust from Soil that are Free to Move is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Cohesion of soil given Total Thrust from Soil that are Free to Move can be measured.

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Cohesion of soil given Total Thrust from Soil that are Free to Move Formula

​GoCohesion of soil given Total Thrust from Soil with Small Angles of Internal Friction Formula

Cohesion of soil given Total Thrust from Soil that are Free to Move Example

Cohesion of soil given Total Thrust from Soil that are Free to Move Solution

Cohesion of soil given Total Thrust from Soil that are Free to Move Formula Elements

Other Formulas to find Cohesion in Soil as Kilopascal

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

How to Evaluate Cohesion of soil given Total Thrust from Soil that are Free to Move?

FAQs on Cohesion of soil given Total Thrust from Soil that are Free to Move

Variable Name

GoCohesion of soil given Total Thrust from Soil with Small Angles of Internal Friction Formula