Unit Cohesion given Sum of Tangential Component Calculator

✖Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.ⓘ Factor of Safety [f_s]			+10% -10%
✖Sum of All Tangential Component in Soil Mechanics means total tangential component.ⓘ Sum of All Tangential Component in Soil Mechanics [F_t]			+10% -10%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Arc [L^']			+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 Sum of Tangential Component [c_u]

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Unit Cohesion given Sum of Tangential Component Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
c_u = ((f_s*F_t)-(ΣN*tan((φ*pi)/180)))/L^'
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Factor of Safety - Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it.
Sum of All Tangential Component in Soil Mechanics - (Measured in Newton) - Sum of All Tangential Component in Soil Mechanics means total tangential component.
Sum of all Normal Component - (Measured in Newton) - Sum of all Normal Component means total normal force on slip circle.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety: 2.8 --> No Conversion Required
Sum of All Tangential Component in Soil Mechanics: 11 Newton --> 11 Newton No Conversion Required
Sum of all Normal Component: 5.01 Newton --> 5.01 Newton No Conversion Required
Angle of Internal Friction: 9.93 Degree --> 0.173311194723004 Radian (Check conversion here)
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c_u = ((f_s*F_t)-(ΣN*tan((φ*pi)/180)))/L^' --> ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/3.0001

Evaluating ... ...

c_u = 10.261273107689

STEP 3: Convert Result to Output's Unit

10.261273107689 Pascal --> No Conversion Required

FINAL ANSWER

10.261273107689 ≈ 10.26127 Pascal <-- Unit Cohesion

(Calculation completed in 00.020 seconds)

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< The Swedish Slip Circle Method Calculators

Radial Distance from Center of Rotation given Length of Slip Arc

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

Arc Angle given Length of Slip Arc

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

Moment of Resistance given Factor of Safety

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

Driving Moment given Factor of Safety

LaTeX Go Driving Moment = Resisting Moment/Factor of Safety

Unit Cohesion given Sum of Tangential Component Formula

LaTeX Go

What is Cohesive Force?

The term "cohesive forces" is a generic term for the collective intermolecular forces (e.g., hydrogen bonding and van der Waals forces) responsible for the bulk property of liquids resisting separation. Specifically, these attractive forces exist between molecules of the same substance.

How to Calculate Unit Cohesion given Sum of Tangential Component?

Unit Cohesion given Sum of Tangential Component calculator uses 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 to calculate the Unit Cohesion, The Unit Cohesion given Sum of Tangential Component formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering sum of tangential component. Unit Cohesion is denoted by c_u symbol.

How to calculate Unit Cohesion given Sum of Tangential Component using this online calculator? To use this online calculator for Unit Cohesion given Sum of Tangential Component, enter Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Length of Slip Arc (L^') and hit the calculate button. Here is how the Unit Cohesion given Sum of Tangential Component calculation can be explained with given input values -> 10.26127 = ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/3.0001.

FAQ

What is Unit Cohesion given Sum of Tangential Component?

The Unit Cohesion given Sum of Tangential Component formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering sum of tangential component and is represented as c_u = ((f_s*F_t)-(ΣN*tan((φ*pi)/180)))/L^' or 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. Factor of Safety is a measure of the load-carrying capacity of a structure or material compared to the actual load or stress that is applied to it, Sum of All Tangential Component in Soil Mechanics means total tangential component, Sum of all Normal Component means total normal force on slip circle, Angle of Internal Friction is the angle measured between the normal force and resultant force & Length of Slip Arc is the length of the arc formed by slip circle.

How to calculate Unit Cohesion given Sum of Tangential Component?

The Unit Cohesion given Sum of Tangential Component formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering sum of tangential component is calculated using 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. To calculate Unit Cohesion given Sum of Tangential Component, you need Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Length of Slip Arc (L^'). With our tool, you need to enter the respective value for Factor of Safety, Sum of All Tangential Component in Soil Mechanics, Sum of all Normal Component, Angle of Internal Friction & Length of Slip Arc 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 Factor of Safety, Sum of All Tangential Component in Soil Mechanics, Sum of all Normal Component, Angle of Internal Friction & Length of Slip Arc. 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 = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length

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