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Total Thrust from Soil that are Free to Move to Considerable Amount Formula

GoTotal Thrust from Soil that are Free to Move Formula

GoTotal Thrust from Soil when Surface behind Wall is Level Formula

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

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

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

Total Thrust from Soil that are Free to Move to Considerable Amount Example

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Here is how the Total Thrust from Soil that are Free to Move to Considerable Amount equation looks like with Values.

Here is how the Total Thrust from Soil that are Free to Move to Considerable Amount equation looks like with Units.

Here is how the Total Thrust from Soil that are Free to Move to Considerable Amount equation looks like.

9.9239 = ((0.5 \cdot 18 \cdot {(3.1)}^{2} \cdot 0.15) - (2 \cdot 1.27 \cdot 3.1 \cdot \sqrt{0.15}))

9.9239kN/m = ((0.5 \cdot 18kN/m³ \cdot {(3.1m)}^{2} \cdot 0.15) - (2 \cdot 1.27kPa \cdot 3.1m \cdot \sqrt{0.15}))

9.9239 = ((0.5 \cdot 18 \cdot {(3.1)}^{2} \cdot 0.15) - (2 \cdot 1.27 \cdot 3.1 \cdot \sqrt{0.15}))

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Total Thrust from Soil that are Free to Move to Considerable Amount Solution

Follow our step by step solution on how to calculate Total Thrust from Soil that are Free to Move to Considerable Amount?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = ((0.5 \cdot 18kN/m³ \cdot {(3.1m)}^{2} \cdot 0.15) - (2 \cdot 1.27kPa \cdot 3.1m \cdot \sqrt{0.15}))

Next Step Convert Units

∴

P = ((0.5 \cdot 18000N/m³ \cdot {(3.1m)}^{2} \cdot 0.15) - (2 \cdot 1270Pa \cdot 3.1m \cdot \sqrt{0.15}))

Next Step Prepare to Evaluate

∴

P = ((0.5 \cdot 18000 \cdot {(3.1)}^{2} \cdot 0.15) - (2 \cdot 1270 \cdot 3.1 \cdot \sqrt{0.15}))

Next Step Evaluate

∴

P = 9923.91291319628N/m

Next Step Convert to Output's Unit

∴

P = 9.92391291319628kN/m

LAST Step Rounding Answer

∴

P = 9.9239kN/m

Total Thrust from Soil that are Free to Move to Considerable Amount Formula Elements

Variables

Functions

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

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

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

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 Thrust of Soil

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 Total Thrust from Soil when Surface behind Wall is Level

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

Go Total Thrust from Soil that are Completely Restrained

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 Total Thrust from Soil that are Completely Restrained and Surface is Level

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

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

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 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}

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}}

How to Evaluate Total Thrust from Soil that are Free to Move to Considerable Amount?

Total Thrust from Soil that are Free to Move to Considerable Amount evaluator uses Total Thrust of Soil = ((0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall*sqrt(Coefficient of Active Pressure))) to evaluate the Total Thrust of Soil, The Total Thrust from Soil that are Free to Move to Considerable Amount is defined as force applied per unit length of wall under consideration. Total Thrust of Soil is denoted by P symbol.

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

FAQs on Total Thrust from Soil that are Free to Move to Considerable Amount

What is the formula to find Total Thrust from Soil that are Free to Move to Considerable Amount?

The formula of Total Thrust from Soil that are Free to Move to Considerable Amount is expressed as Total Thrust of Soil = ((0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)-(2*Cohesion in Soil as Kilopascal*Total Height of Wall*sqrt(Coefficient of Active Pressure))). Here is an example- 0.000967 = ((0.5*18000*(3.1)^2*0.15)-(2*1270*3.1*sqrt(0.15))).

How to calculate Total Thrust from Soil that are Free to Move to Considerable Amount?

With Unit Weight of Soil (γ), Total Height of Wall (h_w), Coefficient of Active Pressure (K_A) & Cohesion in Soil as Kilopascal (C) we can find Total Thrust from Soil that are Free to Move to Considerable Amount using the formula - Total Thrust of Soil = ((0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)-(2*Cohesion in Soil as Kilopascal*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 Total Thrust of Soil?

Here are the different ways to Calculate Total Thrust of Soil-

Total Thrust of Soil=(0.5*Unit Weight of Soil*(Total Height of Wall)^2*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 Thrust of Soil=(0.5*Unit Weight of Soil*(Total Height of Wall)^2*Coefficient of Active Pressure)
Total Thrust of Soil=(0.5*Unit Weight of Soil*(Total Height of Wall)^2*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 Total Thrust from Soil that are Free to Move to Considerable Amount be negative?

No, the Total Thrust from Soil that are Free to Move to Considerable Amount, measured in Surface Tension cannot be negative.

Which unit is used to measure Total Thrust from Soil that are Free to Move to Considerable Amount?

Total Thrust from Soil that are Free to Move to Considerable Amount is usually measured using the Kilonewton per Meter[kN/m] for Surface Tension. Newton per Meter[kN/m], Millinewton per Meter[kN/m], Gram-Force per Centimeter[kN/m] are the few other units in which Total Thrust from Soil that are Free to Move to Considerable Amount can be measured.

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Total Thrust from Soil that are Free to Move to Considerable Amount Formula

​GoTotal Thrust from Soil that are Free to Move Formula

​GoTotal Thrust from Soil when Surface behind Wall is Level Formula

Total Thrust from Soil that are Free to Move to Considerable Amount Example

Total Thrust from Soil that are Free to Move to Considerable Amount Solution

Total Thrust from Soil that are Free to Move to Considerable Amount Formula Elements

Other Formulas to find Total Thrust of Soil

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

How to Evaluate Total Thrust from Soil that are Free to Move to Considerable Amount?

FAQs on Total Thrust from Soil that are Free to Move to Considerable Amount

Variable Name

GoTotal Thrust from Soil that are Free to Move Formula

GoTotal Thrust from Soil when Surface behind Wall is Level Formula