Critical Depth 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%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+10% -10%
✖Stability Number is a theoretical number given by Taylor.ⓘ Stability Number [S_n]			+10% -10%

✖The Critical Depth for Stability Number is defined as the depth of flow where energy is at a minimum for a particular discharge.ⓘ Critical Depth given Stability Number for Cohesive Soil [h_cs]

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Formula

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Critical Depth given Stability Number for Cohesive Soil

Formula

`"h"_{"cs"} = ("c"/("γ"*"S"_{"n"}))`

Example

`"0.083195m"=("3.01kPa"/("18kN/m³"*"2.01"))`

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Critical Depth given Stability Number for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Critical Depth for Stability Number - (Measured in Meter) - The Critical Depth for Stability Number is defined as the depth of flow where energy is at a minimum for a particular discharge.
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.
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.
Stability Number - Stability Number is a theoretical number given by Taylor.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 3.01 Kilopascal --> 3.01 Kilopascal No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic Meter No Conversion Required
Stability Number: 2.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_cs = (c/(γ*S_n)) --> (3.01/(18*2.01))

Evaluating ... ...

h_cs = 0.0831951354339414

STEP 3: Convert Result to Output's Unit

0.0831951354339414 Meter --> No Conversion Required

FINAL ANSWER

0.0831951354339414 ≈ 0.083195 Meter <-- Critical Depth for Stability Number

(Calculation completed in 00.004 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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< 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

Critical Depth given Stability Number for Cohesive Soil Formula

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

What is Stability Number?

It is the method used to evaluate slope stability for homogeneous soils having cohesion. This method is proposed by the Taylor.

How to Calculate Critical Depth given Stability Number for Cohesive Soil?

Critical Depth given Stability Number for Cohesive Soil calculator uses Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number)) to calculate the Critical Depth for Stability Number, The Critical Depth given Stability Number for Cohesive Soil is defined as the depth at which the Stability Number for cohesive soil indicates potential slope failure. Critical Depth for Stability Number is denoted by h_cs symbol.

How to calculate Critical Depth given Stability Number for Cohesive Soil using this online calculator? To use this online calculator for Critical Depth given Stability Number for Cohesive Soil, enter Cohesion of Soil (c), Unit Weight of Soil (γ) & Stability Number (S_n) and hit the calculate button. Here is how the Critical Depth given Stability Number for Cohesive Soil calculation can be explained with given input values -> 0.083611 = (3010/(18000*2.01)).

FAQ

What is Critical Depth given Stability Number for Cohesive Soil?

The Critical Depth given Stability Number for Cohesive Soil is defined as the depth at which the Stability Number for cohesive soil indicates potential slope failure and is represented as h_cs = (c/(γ*S_n)) or Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil & Stability Number is a theoretical number given by Taylor.

How to calculate Critical Depth given Stability Number for Cohesive Soil?

The Critical Depth given Stability Number for Cohesive Soil is defined as the depth at which the Stability Number for cohesive soil indicates potential slope failure is calculated using Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number)). To calculate Critical Depth given Stability Number for Cohesive Soil, you need Cohesion of Soil (c), Unit Weight of Soil (γ) & Stability Number (S_n). With our tool, you need to enter the respective value for Cohesion of Soil, Unit Weight of Soil & Stability Number and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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