Length of Slip Circle given Factor of Safety in Absence of Flow Net Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion
L' = ((fs*ΣT)-(ΣN*tan((φ'*pi)/180)))/c'
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
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Sum of all Tangential Component - (Measured in Newton) - Sum of all Tangential Component means total tangential component.
Sum of all Normal Component - (Measured in Newton) - Sum of all Normal Component means total normal force on slip circle.
Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.
Effective Cohesion - (Measured in Pascal) - Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
STEP 1: Convert Input(s) to Base Unit
Factor of Safety: 2.8 --> No Conversion Required
Sum of all Tangential Component: 5 Newton --> 5 Newton No Conversion Required
Sum of all Normal Component: 5 Newton --> 5 Newton No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
Effective Cohesion: 4 Pascal --> 4 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L' = ((fs*ΣT)-(ΣN*tan((φ'*pi)/180)))/c' --> ((2.8*5)-(5*tan((0.174358392274201*pi)/180)))/4
Evaluating ... ...
L' = 3.49619607822817
STEP 3: Convert Result to Output's Unit
3.49619607822817 Meter --> No Conversion Required
FINAL ANSWER
3.49619607822817 3.496196 Meter <-- Length of Slip Arc
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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10+ Stability of Slopes In Earthen Dams Calculators

Sum of All Tangential Component given Factor of Safety of Earth Dam
Go Sum of all Tangential Component = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Factor of Safety
Length of Slip Circle given Factor of Safety of Earth Dam
Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion
Effective Cohesion given Factor of Safety of Earth Dam
Go Effective Cohesion = ((Factor of Safety*Sum of all Tangential Component)-((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Slip Arc
Factor of Safety of Earth Dam
Go Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component
Sum of All Tangential Component given Factor of Safety in Absence of Flow Net
Go Sum of all Tangential Component = ((Effective Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Factor of Safety
Length of Slip Circle given Factor of Safety in Absence of Flow Net
Go Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion
Effective Cohesion given Factor of Safety in Absence of Flow Net
Go Effective Cohesion = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Slip Arc
Factor of Safety in Absence of Flow Net
Go Factor of Safety = ((Effective Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Sum of all Tangential Component
Embankment Compression given Induced Pore Pressure
Go Embankment Compression = (Induced Pore Pressure*(Volume of Free Air Voids+(Henry's Constant*Volume of Pore Water)))/(Induced Pore Pressure+Air Pressure)
Embankment Compression given Henry's Constant of Solubility
Go Embankment Compression = (Induced Pore Pressure*(Volume of Free Air Voids+(0.02*Volume of Pore Water)))/(Induced Pore Pressure+Air Pressure)

Length of Slip Circle given Factor of Safety in Absence of Flow Net Formula

Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion
L' = ((fs*ΣT)-(ΣN*tan((φ'*pi)/180)))/c'

What is Slip Circle Method?

The slip circle method of slices is commonly used in the analyses of slope stability and bearing capacity for multi-layered ground.

How to Calculate Length of Slip Circle given Factor of Safety in Absence of Flow Net?

Length of Slip Circle given Factor of Safety in Absence of Flow Net calculator uses Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion to calculate the Length of Slip Arc, Length of Slip Circle given Factor of Safety in Absence of Flow Net calculates value of length of slip circle when we have prior information of other parameters used. Length of Slip Arc is denoted by L' symbol.

How to calculate Length of Slip Circle given Factor of Safety in Absence of Flow Net using this online calculator? To use this online calculator for Length of Slip Circle given Factor of Safety in Absence of Flow Net, enter Factor of Safety (fs), Sum of all Tangential Component (ΣT), Sum of all Normal Component (ΣN), Effective Angle of Internal Friction (φ') & Effective Cohesion (c') and hit the calculate button. Here is how the Length of Slip Circle given Factor of Safety in Absence of Flow Net calculation can be explained with given input values -> 3.496192 = ((2.8*5)-(5*tan((0.174358392274201*pi)/180)))/4.

FAQ

What is Length of Slip Circle given Factor of Safety in Absence of Flow Net?
Length of Slip Circle given Factor of Safety in Absence of Flow Net calculates value of length of slip circle when we have prior information of other parameters used and is represented as L' = ((fs*ΣT)-(ΣN*tan((φ'*pi)/180)))/c' or Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion. Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Sum of all Tangential Component means total tangential component, Sum of all Normal Component means total normal force on slip circle, Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction & Effective Cohesion is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
How to calculate Length of Slip Circle given Factor of Safety in Absence of Flow Net?
Length of Slip Circle given Factor of Safety in Absence of Flow Net calculates value of length of slip circle when we have prior information of other parameters used is calculated using Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-(Sum of all Normal Component*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion. To calculate Length of Slip Circle given Factor of Safety in Absence of Flow Net, you need Factor of Safety (fs), Sum of all Tangential Component (ΣT), Sum of all Normal Component (ΣN), Effective Angle of Internal Friction (φ') & Effective Cohesion (c'). With our tool, you need to enter the respective value for Factor of Safety, Sum of all Tangential Component, Sum of all Normal Component, Effective Angle of Internal Friction & Effective Cohesion 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 Length of Slip Arc?
In this formula, Length of Slip Arc uses Factor of Safety, Sum of all Tangential Component, Sum of all Normal Component, Effective Angle of Internal Friction & Effective Cohesion. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Length of Slip Arc = ((Factor of Safety*Sum of all Tangential Component)-((Sum of all Normal Component-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion
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