Unit Weight of Soil given Factor of Safety 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%
✖Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.ⓘ Depth at Mobilized Cohesion in Stability Number [H_Mobilised]			+10% -10%
✖Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.ⓘ Factor of Safety with respect to Cohesion [F_c]			+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 Factor of Safety [γ]

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Unit Weight of Soil given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion))
γ = (c/(S_n*H_Mobilised*F_c))
This formula uses 5 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.
Depth at Mobilized Cohesion in Stability Number - (Measured in Meter) - Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability.
Factor of Safety with respect to Cohesion - Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.

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
Depth at Mobilized Cohesion in Stability Number: 0.04 Meter --> 0.04 Meter No Conversion Required
Factor of Safety with respect to Cohesion: 1.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = (c/(S_n*H_Mobilised*F_c)) --> (2.511/(2.01*0.04*1.9))

Evaluating ... ...

γ = 16.4375490966222

STEP 3: Convert Result to Output's Unit

16437.5490966222 Newton per Cubic Meter -->16.4375490966222 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

16.4375490966222 ≈ 16.43755 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

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

Normal Stress given Shear Strength of Cohesionless Soil

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

Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

Unit Weight of Soil given Factor of Safety Formula

LaTeX Go

Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion))
γ = (c/(S_n*H_Mobilised*F_c))

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 Factor of Safety?

Unit Weight of Soil given Factor of Safety calculator uses Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion)) to calculate the Unit Weight of Soil, The Unit Weight of Soil given Factor of Safety formula is defined as the weight per unit volume, considering a factor of safety for cohesion in geotechnical engineering. Unit Weight of Soil is denoted by γ symbol.

How to calculate Unit Weight of Soil given Factor of Safety using this online calculator? To use this online calculator for Unit Weight of Soil given Factor of Safety, enter Cohesion of Soil (c), Stability Number (S_n), Depth at Mobilized Cohesion in Stability Number (H_Mobilised) & Factor of Safety with respect to Cohesion (F_c) and hit the calculate button. Here is how the Unit Weight of Soil given Factor of Safety calculation can be explained with given input values -> 0.019704 = (2511/(2.01*0.04*1.9)).

FAQ

What is Unit Weight of Soil given Factor of Safety?

The Unit Weight of Soil given Factor of Safety formula is defined as the weight per unit volume, considering a factor of safety for cohesion in geotechnical engineering and is represented as γ = (c/(S_n*H_Mobilised*F_c)) or Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion)). 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, Depth at Mobilized Cohesion in Stability Number is soil layer thickness where effective cohesion is reached, impacting slope stability & Factor of Safety with respect to Cohesion is the ratio of material's shear strength to applied shear stress, ensuring stability against sliding.

How to calculate Unit Weight of Soil given Factor of Safety?

The Unit Weight of Soil given Factor of Safety formula is defined as the weight per unit volume, considering a factor of safety for cohesion in geotechnical engineering is calculated using Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion)). To calculate Unit Weight of Soil given Factor of Safety, you need Cohesion of Soil (c), Stability Number (S_n), Depth at Mobilized Cohesion in Stability Number (H_Mobilised) & Factor of Safety with respect to Cohesion (F_c). With our tool, you need to enter the respective value for Cohesion of Soil, Stability Number, Depth at Mobilized Cohesion in Stability Number & Factor of Safety with respect to Cohesion 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, Depth at Mobilized Cohesion in Stability Number & Factor of Safety with respect to Cohesion. 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 = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
Unit Weight of Soil = (Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))

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