Mobilized Cohesion given Cohesive Force along Slip Plane Calculator

✖Cohesive Force in KN is a generic term for the collective intermolecular forces in KN.ⓘ Cohesive Force in KN [F_c]			+10% -10%
✖Length of Slip Plane is the length of plane along which failure may occur.ⓘ Length of Slip Plane [L]			+10% -10%

✖Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress.ⓘ Mobilized Cohesion given Cohesive Force along Slip Plane [c_m]

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Formula

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Mobilized Cohesion given Cohesive Force along Slip Plane

Formula

`"c"_{"m"} = "F"_{"c"}/"L"`

Example

`"0.3kN/m²"="1.5kN"/"5m"`

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Mobilized Cohesion given Cohesive Force along Slip Plane Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane
c_m = F_c/L
This formula uses 3 Variables

Variables Used

Mobilized Cohesion in Soil Mechanics - (Measured in Pascal) - Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress.
Cohesive Force in KN - (Measured in Newton) - Cohesive Force in KN is a generic term for the collective intermolecular forces in KN.
Length of Slip Plane - (Measured in Meter) - Length of Slip Plane is the length of plane along which failure may occur.

STEP 1: Convert Input(s) to Base Unit

Cohesive Force in KN: 1.5 Kilonewton --> 1500 Newton (Check conversion here)
Length of Slip Plane: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_m = F_c/L --> 1500/5

Evaluating ... ...

c_m = 300

STEP 3: Convert Result to Output's Unit

300 Pascal -->0.3 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

0.3 Kilonewton per Square Meter <-- Mobilized Cohesion in Soil Mechanics

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 25 Slope Stability Analysis using Culman's Method Calculators

Height from Toe of Wedge to Top of Wedge given Factor of Safety

Go Height from Toe of Wedge to Top of Wedge = (Effective Cohesion in Geotech as Kilopascal/((1/2)*(Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Critical Slope Angle in Soil Mechanics*pi)/180)))*Unit Weight of Soil*(sin(((Angle of Inclination to Horizontal in Soil-Critical Slope Angle in Soil Mechanics)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Critical Slope Angle in Soil Mechanics*pi)/180)))

Cohesion of Soil given Angle of Inclination and Slope angle

Go Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180))

Mobilized Cohesion given Angle of Mobilized Friction

Go Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge)

Height from Toe to Top of Wedge given Angle of Mobilized Friction

Go Height from Toe of Wedge to Top of Wedge = Mobilized Cohesion in Soil Mechanics/(0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)*Unit Weight of Soil)

Mobilized Cohesion given Safe Height from Toe to Top of Wedge

Go Mobilized Cohesion in Kilopascal = Height from Toe of Wedge to Top of Wedge/(4*sin((Angle of Inclination in Soil Mechanics*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Water in Soil Mechanics*(1-cos(((Angle of Inclination in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)))

Safe Height from Toe to Top of Wedge

Go Height from Toe of Wedge to Top of Wedge = (4*Mobilized Cohesion in Soil Mechanics*sin((Angle of Inclination to Horizontal in Soil*pi)/180)*cos((Angle of Mobilized Friction in Soil Mechanics*pi)/180))/(Unit Weight of Soil*(1-cos(((Angle of Inclination to Horizontal in Soil-Angle of Mobilized Friction in Soil Mechanics)*pi)/180)))

Factor of Safety given Length of Slip Plane

Go Factor of Safety in Soil Mechanics = ((Cohesion in Soil*Length of Slip Plane)/(Weight of Wedge in Newton*sin((Critical Slope Angle in Soil Mechanics*pi)/180)))+(tan((Angle of Internal Friction*pi)/180)/tan((Critical Slope Angle in Soil Mechanics*pi)/180))

Height from Toe of Wedge to Top of Wedge given Weight of Wedge

Go Height from Toe of Wedge to Top of Wedge = Weight of Wedge in Kilonewton/((Unit Weight of Soil*Length of Slip Plane*(sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180)))/(2*sin((Angle of Inclination in Soil Mechanics*pi)/180)))

Length of Slip Plane given Shear Strength along Slip Plane

Go Length of Slip Plane = (Shear Strength of Soil-(Weight of Wedge*cos((Slope Angle in Soil Mechanics*pi)/180)*tan((Angle of Internal Friction*pi)/180)))/Cohesion in Soil

Height from Toe of Wedge to Top of Wedge

Go Height from Toe of Wedge to Top of Wedge = Height of Wedge/((sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180))

Height of Wedge of Soil given Angle of Inclination and Slope angle

Go Height of Wedge = (Height from Toe of Wedge to Top of Wedge*sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180)

Shear Strength along Slip Plane

Go Shear Strength = (Cohesion of Soil*Length of Slip Plane)+(Weight of Wedge*cos((Slope Angle*pi)/180)*tan((Angle of Internal Friction*pi)/180))

Slope Angle given Shear Strength along Slip Plane

Go Slope Angle in Soil Mechanics = acos((Shear Strength-(Cohesion of Soil*Length of Slip Plane))/(Weight of Wedge in Newton*tan((Angle of Internal Friction*pi)/180)))

Angle of Internal Friction given Effective Normal Stress

Go Angle of Internal Friction of Soil = atan((Factor of Safety in Soil Mechanics*Shear Stress of Soil in Megapascal)/Effective Normal Stress of Soil in Megapascal)

Slope Angle given Shear Stress along Slip Plane

Go Slope Angle in Soil Mechanics = asin(Average Shear Stress on Shear Plane in Soil Mech/Weight of Wedge in Newton)

Length of Slip Plane given Weight of Wedge of Soil

Go Length of Slip Plane = Weight of Wedge in Kilonewton/((Height of Wedge*Unit Weight of Soil)/2)

Height of Wedge of Soil given Weight of Wedge

Go Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)

Unit Weight of Soil given Weight of Wedge

Go Unit Weight of Soil = Weight of Wedge in Kilonewton/((Length of Slip Plane*Height of Wedge)/2)

Weight of Wedge of Soil

Go Weight of Wedge in Kilonewton = (Length of Slip Plane*Height of Wedge*Unit Weight of Soil)/2

Angle of Mobilized Friction given Critical Slope Angle

Go Angle of Mobilized Friction = (2*Critical Slope Angle in Soil Mechanics)-Angle of Inclination to Horizontal in Soil

Critical Slope Angle given Angle of Inclination

Go Critical Slope Angle in Soil Mechanics = (Angle of Inclination to Horizontal in Soil+Angle of Mobilized Friction)/2

Angle of Inclination given Critical Slope Angle

Go Angle of Inclination to Horizontal in Soil = (2*Critical Slope Angle in Soil Mechanics)-Angle of Mobilized Friction

Mobilized Cohesion given Cohesive Force along Slip Plane

Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane

Cohesive Force along Slip Plane

Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane

Length of Slip Plane given Cohesive Force along Slip Plane

Go Length of Slip Plane = Cohesive Force in KN/Mobilized Cohesion in Kilopascal

Mobilized Cohesion given Cohesive Force along Slip Plane Formula

Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane
c_m = F_c/L

What is Mobilized Cohesion?

The amount of cohesion that is resisting the shear stress is the mobilized cohesion. Cohesion is the component of shear strength of a rock or soil that is independent of interparticle friction.

How to Calculate Mobilized Cohesion given Cohesive Force along Slip Plane?

Mobilized Cohesion given Cohesive Force along Slip Plane calculator uses Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane to calculate the Mobilized Cohesion in Soil Mechanics, The Mobilized Cohesion given Cohesive force along Slip Plane is defined as the value of mobilized cohesion when we have prior information of other parameters used. Mobilized Cohesion in Soil Mechanics is denoted by c_m symbol.

How to calculate Mobilized Cohesion given Cohesive Force along Slip Plane using this online calculator? To use this online calculator for Mobilized Cohesion given Cohesive Force along Slip Plane, enter Cohesive Force in KN (F_c) & Length of Slip Plane (L) and hit the calculate button. Here is how the Mobilized Cohesion given Cohesive Force along Slip Plane calculation can be explained with given input values -> 0.0003 = 1500/5.

FAQ

What is Mobilized Cohesion given Cohesive Force along Slip Plane?

The Mobilized Cohesion given Cohesive force along Slip Plane is defined as the value of mobilized cohesion when we have prior information of other parameters used and is represented as c_m = F_c/L or Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane. Cohesive Force in KN is a generic term for the collective intermolecular forces in KN & Length of Slip Plane is the length of plane along which failure may occur.

How to calculate Mobilized Cohesion given Cohesive Force along Slip Plane?

The Mobilized Cohesion given Cohesive force along Slip Plane is defined as the value of mobilized cohesion when we have prior information of other parameters used is calculated using Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane. To calculate Mobilized Cohesion given Cohesive Force along Slip Plane, you need Cohesive Force in KN (F_c) & Length of Slip Plane (L). With our tool, you need to enter the respective value for Cohesive Force in KN & Length of Slip Plane 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 Mobilized Cohesion in Soil Mechanics?

In this formula, Mobilized Cohesion in Soil Mechanics uses Cohesive Force in KN & Length of Slip Plane. We can use 1 other way(s) to calculate the same, which is/are as follows -

Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge)

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