Unit Weight of Soil given Factor of Safety with Respect to Cohesion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilised Cohesion in Stability Number*Factor of Safety with respect to Cohesion))
γ = (c/(Sn*HMobilised*Fc))
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 theoretical number given by Taylor.
Depth at Mobilised Cohesion in Stability Number - (Measured in Meter) - Depth at Mobilised 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: 3.01 Kilopascal --> 3.01 Kilopascal No Conversion Required
Stability Number: 2.01 --> No Conversion Required
Depth at Mobilised 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/(Sn*HMobilised*Fc)) --> (3.01/(2.01*0.04*1.9))
Evaluating ... ...
γ = 19.7041110238282
STEP 3: Convert Result to Output's Unit
19704.1110238282 Newton per Cubic Meter -->19.7041110238282 Kilonewton per Cubic Meter (Check conversion here)
FINAL ANSWER
19.7041110238282 19.70411 Kilonewton per Cubic Meter <-- Unit Weight of Soil
(Calculation completed in 00.004 seconds)

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25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil
Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion given Critical Depth for Cohesive Soil
Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Critical Depth for Cohesive Soil
Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
Cohesion given Shear Strength of Cohesive Soil
Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction of Soil*pi)/180))
Cohesion of Soil given Factor of Safety for Cohesive Soil
Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress in Soil Mechanics*tan((Angle of Internal Friction)))
Normal Stress given Factor of Safety for Cohesive Soil
Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))
Shear Stress given Factor of Safety for Cohesive Soil
Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety
Shear Strength of Soil given Angle of Internal Friction
Go Shear Strength = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))
Shear Stress of Soil given Angle of Internal Friction
Go Shear Stress for Factor of Safety = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))
Angle of Internal Friction given Shear Strength of Soil
Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))
Normal Stress given Shear Strength of Cohesive Soil
Go Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))
Shear Strength of Cohesive Soil
Go Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction)))
Factor of Safety against Sliding given Angle of Internal Friction
Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))
Unit Weight of Soil given Stability Number for Cohesive Soil
Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
Critical Depth given Stability Number for Cohesive Soil
Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))
Cohesion given Stability Number for Cohesive Soil
Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)
Normal Stress given Shear Stress of Cohesionless Soil
Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))
Unit Weight of Soil given Mobilised Cohesion
Go Unit Weight of Soil = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))
Depth at Mobilised Cohesion
Go Depth at Mobilised Cohesion = (Mobilised Cohesion/(Unit Weight of Soil*Stability Number))
Mobilised Cohesion given Stability Number for Cohesive Soil
Go Mobilised Cohesion = (Stability Number*Unit Weight of Soil*Depth at Mobilised Cohesion)
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)
Cohesion of Soil given Mobilised Cohesion
Go Cohesion of Soil = Mobilised Cohesion*Factor of Safety with respect to Cohesion
Mobilised Cohesion
Go Mobilised Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Unit Weight of Soil given Factor of Safety with Respect to Cohesion Formula

Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilised Cohesion in Stability Number*Factor of Safety with respect to Cohesion))
γ = (c/(Sn*HMobilised*Fc))

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 with Respect to Cohesion?

Unit Weight of Soil given Factor of Safety with Respect to Cohesion calculator uses Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilised Cohesion in Stability Number*Factor of Safety with respect to Cohesion)) to calculate the Unit Weight of Soil, Unit Weight of Soil given Factor of Safety with Respect to Cohesion 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 with Respect to Cohesion using this online calculator? To use this online calculator for Unit Weight of Soil given Factor of Safety with Respect to Cohesion, enter Cohesion of Soil (c), Stability Number (Sn), Depth at Mobilised Cohesion in Stability Number (HMobilised) & Factor of Safety with respect to Cohesion (Fc) and hit the calculate button. Here is how the Unit Weight of Soil given Factor of Safety with Respect to Cohesion calculation can be explained with given input values -> 0.019803 = (3010/(2.01*0.04*1.9)).

FAQ

What is Unit Weight of Soil given Factor of Safety with Respect to Cohesion?
Unit Weight of Soil given Factor of Safety with Respect to Cohesion is defined as the weight per unit volume, considering a factor of safety for cohesion in geotechnical engineering and is represented as γ = (c/(Sn*HMobilised*Fc)) or Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Depth at Mobilised 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 theoretical number given by Taylor, Depth at Mobilised 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 with Respect to Cohesion?
Unit Weight of Soil given Factor of Safety with Respect to Cohesion 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 Mobilised Cohesion in Stability Number*Factor of Safety with respect to Cohesion)). To calculate Unit Weight of Soil given Factor of Safety with Respect to Cohesion, you need Cohesion of Soil (c), Stability Number (Sn), Depth at Mobilised Cohesion in Stability Number (HMobilised) & Factor of Safety with respect to Cohesion (Fc). With our tool, you need to enter the respective value for Cohesion of Soil, Stability Number, Depth at Mobilised 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 Mobilised 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 = (Mobilised Cohesion/(Stability Number*Depth at Mobilised Cohesion))
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