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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=(cSnhcs)
γ - Unit Weight of Soil?c - Cohesion of Soil?Sn - Stability Number?hcs - Critical Depth for Stability Number?

Unit Weight of Soil given Stability Number for Cohesive Soil Example

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Here is how the Unit Weight of Soil given Stability Number for Cohesive Soil equation looks like with Values.

Here is how the Unit Weight of Soil given Stability Number for Cohesive Soil equation looks like with Units.

Here is how the Unit Weight of Soil given Stability Number for Cohesive Soil equation looks like.

18.1051Edit=(2.511Edit2.01Edit0.069Edit)
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Unit Weight of Soil given Stability Number for Cohesive Soil Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Stability Number for Cohesive Soil?

FIRST Step Consider the formula
γ=(cSnhcs)
Next Step Substitute values of Variables
γ=(2.511kPa2.010.069m)
Next Step Prepare to Evaluate
γ=(2.5112.010.069)
Next Step Evaluate
γ=18105.126541207N/m³
Next Step Convert to Output's Unit
γ=18.105126541207kN/m³
LAST Step Rounding Answer
γ=18.1051kN/m³

Unit Weight of Soil given Stability Number for Cohesive Soil 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.
Cohesion of Soil
Cohesion of Soil 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 greater than 0.
Stability Number
Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.
Symbol: Sn
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Critical Depth for Stability Number
The Critical Depth for Stability Number is the depth within a soil mass where the Stability Number (a dimensionless parameter used to assess slope stability) reaches a critical value.
Symbol: hcs
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Unit Weight of Soil

​Go Unit Weight of Soil given Critical Depth for Cohesive Soil
γ=chc(tan((I))-tan((φ)))(cos((I)))2
​Go Unit Weight of Soil given Mobilized Cohesion
γ=(CcSnH)
​Go Unit Weight of Soil given Factor of Safety
γ=(cSnHMobilisedFc)

Other formulas in Stability Analysis of Infinite Slopes category

​Go Shear Strength of Cohesionless Soil
τs=σnmtan((φ))
​Go Normal Stress given Shear Strength of Cohesionless Soil
σnm=τstan((φ))
​Go Angle of Internal Friction given Shear Strength of Cohesionless Soil
φ=atan(τsσnm)
​Go Normal Stress given Shear Stress of Cohesionless Soil
σnm=𝜏Shearstresscot((I))

How to Evaluate Unit Weight of Soil given Stability Number for Cohesive Soil?

Unit Weight of Soil given Stability Number for Cohesive Soil evaluator uses Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number)) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Stability Number for Cohesive Soil formula is defined as the measure of the soil's weight per unit volume when considering the stability number (a dimensionless factor that indicates the stability of a slope or an embankment in cohesive soils). Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Stability Number for Cohesive Soil using this online evaluator? To use this online evaluator for Unit Weight of Soil given Stability Number for Cohesive Soil, enter Cohesion of Soil (c), Stability Number (Sn) & Critical Depth for Stability Number (hcs) and hit the calculate button.

FAQs on Unit Weight of Soil given Stability Number for Cohesive Soil

What is the formula to find Unit Weight of Soil given Stability Number for Cohesive Soil?
The formula of Unit Weight of Soil given Stability Number for Cohesive Soil is expressed as Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number)). Here is an example- 0.015616 = (2511/(2.01*0.069)).
How to calculate Unit Weight of Soil given Stability Number for Cohesive Soil?
With Cohesion of Soil (c), Stability Number (Sn) & Critical Depth for Stability Number (hcs) we can find Unit Weight of Soil given Stability Number for Cohesive Soil using the formula - Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number)).
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=Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)OpenImg
  • Unit Weight of Soil=(Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))OpenImg
  • Unit Weight of Soil=(Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion))OpenImg
Can the Unit Weight of Soil given Stability Number for Cohesive Soil be negative?
No, the Unit Weight of Soil given Stability Number for Cohesive Soil, measured in Specific Weight cannot be negative.
Which unit is used to measure Unit Weight of Soil given Stability Number for Cohesive Soil?
Unit Weight of Soil given Stability Number for Cohesive Soil 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 Stability Number for Cohesive Soil can be measured.
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