Unit Cohesion given Resisting Force from Coulomb's Equation Calculator

✖Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.ⓘ Resisting Force [F_r]			+10% -10%
✖Normal Component of Force is the perpendicular component of force.ⓘ Normal Component of Force [N]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.ⓘ Curve Length [ΔL]			+10% -10%

✖Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.ⓘ Unit Cohesion given Resisting Force from Coulomb's Equation [c_u]

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Formula

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Unit Cohesion given Resisting Force from Coulomb's Equation

Formula

c u = \frac{F r - (N \cdot \tan ((φ)))}{ΔL}

Example

10.00188 Pa = \frac{35 N - (4.99 N \cdot \tan ((9.93 °)))}{3.412 m}

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Unit Cohesion given Resisting Force from Coulomb's Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
c_u = (F_r-(N*tan((φ))))/ΔL
This formula uses 1 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Unit Cohesion - (Measured in Pascal) - Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.
Resisting Force - (Measured in Newton) - Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.
Normal Component of Force - (Measured in Newton) - Normal Component of Force is the perpendicular component of force.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Curve Length - (Measured in Meter) - Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.

STEP 1: Convert Input(s) to Base Unit

Resisting Force: 35 Newton --> 35 Newton No Conversion Required
Normal Component of Force: 4.99 Newton --> 4.99 Newton No Conversion Required
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion here)
Curve Length: 3.412 Meter --> 3.412 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_u = (F_r-(N*tan((φ))))/ΔL --> (35-(4.99*tan((0.173311194723004))))/3.412

Evaluating ... ...

c_u = 10.0018795416518

STEP 3: Convert Result to Output's Unit

10.0018795416518 Pascal --> No Conversion Required

FINAL ANSWER

10.0018795416518 ≈ 10.00188 Pascal <-- Unit Cohesion

(Calculation completed in 00.020 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< The Swedish Slip Circle Method Calculators

Radial Distance from Center of Rotation given Length of Slip Arc

Go Radial Distance = (360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))

Arc Angle given Length of Slip Arc

Go Arc Angle = (360*Length of Slip Arc)/(2*pi*Radial Distance)*(pi/180)

Moment of Resistance given Factor of Safety

Go Moment of Resistance with Factor of Safety = Factor of Safety*Driving Moment

Driving Moment given Factor of Safety

Go Driving Moment = Resisting Moment/Factor of Safety

Unit Cohesion given Resisting Force from Coulomb's Equation Formula

Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
c_u = (F_r-(N*tan((φ))))/ΔL

What is cohesion ?

A common example of cohesion is the behavior of water molecules. Each water molecule can form four hydrogen bonds with neighbor molecules.Another cohesive substance is mercury.

How to Calculate Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation calculator uses Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length to calculate the Unit Cohesion, Unit Cohesion given Resisting Force from Coulomb's Equation formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering resistance force. Unit Cohesion is denoted by c_u symbol.

How to calculate Unit Cohesion given Resisting Force from Coulomb's Equation using this online calculator? To use this online calculator for Unit Cohesion given Resisting Force from Coulomb's Equation, enter Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Curve Length (ΔL) and hit the calculate button. Here is how the Unit Cohesion given Resisting Force from Coulomb's Equation calculation can be explained with given input values -> 11.37547 = (35-(4.99*tan((0.173311194723004))))/3.412.

FAQ

What is Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering resistance force and is represented as c_u = (F_r-(N*tan((φ))))/ΔL or Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length. Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure, Normal Component of Force is the perpendicular component of force, Angle of Internal Friction is the angle measured between the normal force and resultant force & Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.

How to calculate Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering resistance force is calculated using Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length. To calculate Unit Cohesion given Resisting Force from Coulomb's Equation, you need Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Curve Length (ΔL). With our tool, you need to enter the respective value for Resisting Force, Normal Component of Force, Angle of Internal Friction & Curve Length 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 Cohesion?

In this formula, Unit Cohesion uses Resisting Force, Normal Component of Force, Angle of Internal Friction & Curve Length. We can use 3 other way(s) to calculate the same, which is/are as follows -

Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance)
Unit Cohesion = Factor of Safety*Mobilized Shear Resistance of Soil
Unit Cohesion = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Length of Slip Arc

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