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Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Formula

GoUnit Weight of Soil given Total Thrust from Soil that are Free to Move Formula

GoUnit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall Formula

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

γ = ((2 \cdot \frac{P}{{(h w)}^{2}}) + (4 \cdot \frac{C}{h w}))

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

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Example

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Here is how the Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction equation looks like with Values.

Here is how the Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction equation looks like with Units.

Here is how the Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction equation looks like.

3.7199 = ((2 \cdot \frac{10}{{(3.1)}^{2}}) + (4 \cdot \frac{1.27}{3.1}))

3.7199kN/m³ = ((2 \cdot \frac{10kN/m}{{(3.1m)}^{2}}) + (4 \cdot \frac{1.27kPa}{3.1m}))

3.7199 = ((2 \cdot \frac{10}{{(3.1)}^{2}}) + (4 \cdot \frac{1.27}{3.1}))

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Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

FIRST Step Consider the formula

γ = ((2 \cdot \frac{P}{{(h w)}^{2}}) + (4 \cdot \frac{C}{h w}))

Next Step Substitute values of Variables

∴

γ = ((2 \cdot \frac{10kN/m}{{(3.1m)}^{2}}) + (4 \cdot \frac{1.27kPa}{3.1m}))

Next Step Convert Units

∴

γ = ((2 \cdot \frac{10000N/m}{{(3.1m)}^{2}}) + (4 \cdot \frac{1270Pa}{3.1m}))

Next Step Prepare to Evaluate

∴

γ = ((2 \cdot \frac{10000}{{(3.1)}^{2}}) + (4 \cdot \frac{1270}{3.1}))

Next Step Evaluate

∴

γ = 3719.87513007284N/m³

Next Step Convert to Output's Unit

∴

γ = 3.71987513007284kN/m³

LAST Step Rounding Answer

∴

γ = 3.7199kN/m³

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Formula Elements

Variables

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 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

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

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

Other Formulas to find Unit Weight of Soil

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 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 Unit Weight of Soil given Total Thrust from Soil that are Completely Restrained

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 Unit Weight of Soil given Thrust of Soil that are Completely Restrained and Surface is Level

γ = \frac{2 \cdot P}{{(h w)}^{2} \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 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)

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 Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction evaluator uses Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall)) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction is defined as ratio of weight of soil to volume of soil. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction using this online evaluator? To use this online evaluator for Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction, enter Total Thrust of Soil (P), Total Height of Wall (h_w) & Cohesion in Soil as Kilopascal (C) and hit the calculate button.

FAQs on Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction

What is the formula to find Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

The formula of Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction is expressed as Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall)). Here is an example- 0.008533 = ((2*10000/(3.1)^2)+(4*1270/3.1)).

How to calculate Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

With Total Thrust of Soil (P), Total Height of Wall (h_w) & Cohesion in Soil as Kilopascal (C) we can find Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction using the formula - Unit Weight of Soil = ((2*Total Thrust of Soil/(Total Height of Wall)^2)+(4*Cohesion in Soil as Kilopascal/Total Height of Wall)).

What are the other ways to Calculate Unit Weight of Soil?

Here are the different ways to Calculate Unit Weight of Soil-

Unit Weight of Soil=(2*Total Thrust 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)))
Unit Weight of Soil=(2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure)
Unit Weight of Soil=(2*Total Thrust 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 Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction be negative?

No, the Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction can be measured.

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Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Formula

​GoUnit Weight of Soil given Total Thrust from Soil that are Free to Move Formula

​GoUnit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall Formula

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Example

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Solution

Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction Formula Elements

Other Formulas to find Unit Weight of Soil

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

How to Evaluate Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction?

FAQs on Unit Weight of Soil given Total Thrust from Soil with Small Angles of Internal Friction

Variable Name

GoUnit Weight of Soil given Total Thrust from Soil that are Free to Move Formula

GoUnit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall Formula