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
cu = ((fs*Ft)-(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
cu = ((fs*Ft)-(ΣN*tan((φ*pi)/180)))/L' --> ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/3.0001
Evaluating ... ...
cu = 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 00.004 seconds)

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Unit Cohesion given Sum of Tangential Component Formula

​LaTeX ​Go
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
cu = ((fs*Ft)-(ΣN*tan((φ*pi)/180)))/L'

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 cu 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 (fs), Sum of All Tangential Component in Soil Mechanics (Ft), 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 cu = ((fs*Ft)-(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 (fs), Sum of All Tangential Component in Soil Mechanics (Ft), 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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