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Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses. Check FAQs
Sn=(CcγH)
Sn - Stability Number?Cc - Mobilized Cohesion for Cohesive Soil?γ - Unit Weight of Soil?H - Depth at Mobilized Cohesion?

Stability Number for Cohesive Soil given Mobilized Cohesion Example

With values
With units
Only example

Here is how the Stability Number for Cohesive Soil given Mobilized Cohesion equation looks like with Values.

Here is how the Stability Number for Cohesive Soil given Mobilized Cohesion equation looks like with Units.

Here is how the Stability Number for Cohesive Soil given Mobilized Cohesion equation looks like.

2.01Edit=(104.922Edit18Edit2.9Edit)
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Stability Number for Cohesive Soil given Mobilized Cohesion Solution

Follow our step by step solution on how to calculate Stability Number for Cohesive Soil given Mobilized Cohesion?

FIRST Step Consider the formula
Sn=(CcγH)
Next Step Substitute values of Variables
Sn=(104.922Pa18kN/m³2.9m)
Next Step Prepare to Evaluate
Sn=(104.922182.9)
LAST Step Evaluate
Sn=2.01

Stability Number for Cohesive Soil given Mobilized Cohesion Formula Elements

Variables
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.
Mobilized Cohesion for Cohesive Soil
Mobilized Cohesion for Cohesive Soil is the effective shear strength contributed by cohesive soils when subjected to shear stresses.
Symbol: Cc
Measurement: PressureUnit: Pa
Note: Value should be greater than 0.
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.
Depth at Mobilized Cohesion
Depth at Mobilized Cohesion is the depth at which mobilized cohesion is considered.
Symbol: H
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Stability Number

​Go Stability Number for Cohesive Soil
Sn=(cγhcs)
​Go Stability Number given Factor of Safety
Sn=(cFcγHMobilised)

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 Stability Number for Cohesive Soil given Mobilized Cohesion?

Stability Number for Cohesive Soil given Mobilized Cohesion evaluator uses Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion)) to evaluate the Stability Number, The Stability Number for Cohesive Soil given Mobilized Cohesion formula is defined as the measure of value of the stability number used in geotechnical engineering to assess the stability of slopes in cohesive soils. Stability Number is denoted by Sn symbol.

How to evaluate Stability Number for Cohesive Soil given Mobilized Cohesion using this online evaluator? To use this online evaluator for Stability Number for Cohesive Soil given Mobilized Cohesion, enter Mobilized Cohesion for Cohesive Soil (Cc), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion (H) and hit the calculate button.

FAQs on Stability Number for Cohesive Soil given Mobilized Cohesion

What is the formula to find Stability Number for Cohesive Soil given Mobilized Cohesion?
The formula of Stability Number for Cohesive Soil given Mobilized Cohesion is expressed as Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion)). Here is an example- 2.01 = (104.922/(18000*2.9)).
How to calculate Stability Number for Cohesive Soil given Mobilized Cohesion?
With Mobilized Cohesion for Cohesive Soil (Cc), Unit Weight of Soil (γ) & Depth at Mobilized Cohesion (H) we can find Stability Number for Cohesive Soil given Mobilized Cohesion using the formula - Stability Number = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Depth at Mobilized Cohesion)).
What are the other ways to Calculate Stability Number?
Here are the different ways to Calculate Stability Number-
  • Stability Number=(Cohesion of Soil/(Unit Weight of Soil*Critical Depth for Stability Number))OpenImg
  • Stability Number=(Cohesion of Soil/(Factor of Safety with respect to Cohesion*Unit Weight of Soil*Depth at Mobilized Cohesion in Stability Number))OpenImg
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