Unit Weight of Soil given Stability Number for Cohesive Soil Calculator

✖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.ⓘ Cohesion of Soil [c]			+10% -10%
✖Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.ⓘ Stability Number [S_n]			+10% -10%
✖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.ⓘ Critical Depth for Stability Number [h_cs]			+10% -10%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Stability Number for Cohesive Soil [γ]

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Formula

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Unit Weight of Soil given Stability Number for Cohesive Soil

Formula

γ = (\frac{c}{S n \cdot h cs})

Example

18.10513 kN/m³ = (\frac{2.511 kPa}{2.01 \cdot 0.069 m})

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Unit Weight of Soil given Stability Number for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
γ = (c/(S_n*h_cs))
This formula uses 4 Variables

Variables Used

Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Cohesion of Soil - (Measured in Kilopascal) - 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.
Stability Number - Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses.
Critical Depth for Stability Number - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 2.511 Kilopascal --> 2.511 Kilopascal No Conversion Required
Stability Number: 2.01 --> No Conversion Required
Critical Depth for Stability Number: 0.069 Meter --> 0.069 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (c/(S_n*h_cs)) --> (2.511/(2.01*0.069))

Evaluating ... ...

γ = 18.105126541207

STEP 3: Convert Result to Output's Unit

18105.126541207 Newton per Cubic Meter -->18.105126541207 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

18.105126541207 ≈ 18.10513 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Normal Stress given Shear Strength of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Unit Weight of Soil given Stability Number for Cohesive Soil Formula

Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
γ = (c/(S_n*h_cs))

What is Unit Weight of Soil?

The mass of solid particles is usually expressed in terms of their particle unit weight or specific gravity (Gs) of the soil grain solids . For most inorganic soils, the value of Gs lies between 2.60 and 2.80.

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

Unit Weight of Soil given Stability Number for Cohesive Soil calculator uses Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number)) to calculate 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 calculate Unit Weight of Soil given Stability Number for Cohesive Soil using this online calculator? To use this online calculator for Unit Weight of Soil given Stability Number for Cohesive Soil, enter Cohesion of Soil (c), Stability Number (S_n) & Critical Depth for Stability Number (h_cs) and hit the calculate button. Here is how the Unit Weight of Soil given Stability Number for Cohesive Soil calculation can be explained with given input values -> 0.015616 = (2511/(2.01*0.069)).

FAQ

What is Unit Weight of Soil given Stability Number for Cohesive 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) and is represented as γ = (c/(S_n*h_cs)) or Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number)). 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, Stability Number is a parameter used to assess the stability of slopes, particularly in soil mechanics and geotechnical analyses & 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.

How to calculate Unit Weight of Soil given Stability Number for Cohesive 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) is calculated using Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number)). To calculate Unit Weight of Soil given Stability Number for Cohesive Soil, you need Cohesion of Soil (c), Stability Number (S_n) & Critical Depth for Stability Number (h_cs). With our tool, you need to enter the respective value for Cohesion of Soil, Stability Number & Critical Depth for Stability Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Cohesion of Soil, Stability Number & Critical Depth for Stability Number. We can use 3 other way(s) to calculate the same, which is/are as follows -

Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Unit Weight of Soil = (Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))
Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion))

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