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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=2P(hw)2KP
γ - Unit Weight of Soil?P - Total Thrust of Soil?hw - Total Height of Wall?KP - Coefficient of Passive Pressure?

Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount Example

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

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

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

13.0073Edit=210Edit(3.1Edit)20.16Edit
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Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount Solution

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

FIRST Step Consider the formula
γ=2P(hw)2KP
Next Step Substitute values of Variables
γ=210kN/m(3.1m)20.16
Next Step Convert Units
γ=210000N/m(3.1m)20.16
Next Step Prepare to Evaluate
γ=210000(3.1)20.16
Next Step Evaluate
γ=13007.2840790843N/m³
Next Step Convert to Output's Unit
γ=13.0072840790843kN/m³
LAST Step Rounding Answer
γ=13.0073kN/m³

Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount 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.
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.
Total Height of Wall
Total height of wall which is under the consideration.
Symbol: hw
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Coefficient of Passive Pressure
Coefficient of Passive Pressure is defined as the ratio of the horizontal to vertical stress.
Symbol: KP
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.

Other Formulas to find Unit Weight of Soil

​Go Unit Weight of Soil given Total Thrust from Soil that are Free to Move
γ=2P(hw)2cos(i)(cos(i)-(cos(i))2-(cos(φ))2cos(i)+(cos(i))2-(cos(φ))2)
​Go Unit Weight of Soil given Total Thrust from Soil for Level Surface behind Wall
γ=2P(hw)2KA
​Go Unit Weight of Soil given Total Thrust from Soil that are Completely Restrained
γ=2P(hw)2cos(i)(cos(i)+(cos(i))2-(cos(φ))2cos(i)-(cos(i))2-(cos(φ))2)
​Go Unit Weight of Soil given Thrust of Soil that are Completely Restrained and Surface is Level
γ=2P(hw)2KP

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

​Go Total Thrust from Soil that are Free to Move
P=(0.5γ(hw)2cos(i))(cos(i)-(cos(i))2-(cos(φ))2cos(i)+(cos(i))2-(cos(φ))2)
​Go Total Height of Wall given Total Thrust from Soil that are Free to move
hw=2Pγcos(i)(cos(i)-(cos(i))2-(cos(φ))2cos(i)+(cos(i))2-(cos(φ))2)
​Go Total Thrust from Soil when Surface behind Wall is Level
P=(0.5γ(hw)2KA)
​Go Total Height of Wall given Total Thrust from Soil for Level Surface behind Wall
hw=2PγKA

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

Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount evaluator uses Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount formula 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 of Soil that are Free to Move only Small Amount using this online evaluator? To use this online evaluator for Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount, enter Total Thrust of Soil (P), Total Height of Wall (hw) & Coefficient of Passive Pressure (KP) and hit the calculate button.

FAQs on Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount

What is the formula to find Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount?
The formula of Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount is expressed as Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure). Here is an example- 0.013874 = (2*10000)/((3.1)^2*0.16).
How to calculate Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount?
With Total Thrust of Soil (P), Total Height of Wall (hw) & Coefficient of Passive Pressure (KP) we can find Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount using the formula - Unit Weight of Soil = (2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Passive Pressure).
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)))OpenImg
  • Unit Weight of Soil=(2*Total Thrust of Soil)/((Total Height of Wall)^2*Coefficient of Active Pressure)OpenImg
  • 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)))OpenImg
Can the Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount be negative?
No, the Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount, measured in Specific Weight cannot be negative.
Which unit is used to measure Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount?
Unit Weight of Soil given Total Thrust of Soil that are Free to Move only Small Amount 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 of Soil that are Free to Move only Small Amount can be measured.
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