Length of Slip Circle given Factor of Safety of Earth Dam Calculator

✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖Sum of all Tangential Component means total tangential component.ⓘ Sum of all Tangential Component [ΣT]			+10% -10%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+10% -10%
✖Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.ⓘ Total Pore Pressure [ΣU]			+10% -10%
✖Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.ⓘ Effective Angle of Internal Friction [φ']			+10% -10%
✖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.ⓘ Effective Cohesion [c']			+10% -10%

✖Length of Slip Arc is the length of the arc formed by slip circle.ⓘ Length of Slip Circle given Factor of Safety of Earth Dam [L^']

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Formula

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Length of Slip Circle given Factor of Safety of Earth Dam

Formula

`"L"^{"'"} = (("f"_{"s"}*"ΣT")-(("ΣN"-"ΣU")*tan(("φ'"*pi)/180)))/"c'"`

Example

`"3.497718m"=(("2.8"*"5N")-(("5N"-"2N")*tan(("9.99°"*pi)/180)))/"4Pa"`

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Length of Slip Circle given Factor of Safety of Earth Dam 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-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion
L^' = ((f_s*ΣT)-((ΣN-ΣU)*tan((φ'*pi)/180)))/c'
This formula uses 1 Constants, 1 Functions, 7 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.
Total Pore Pressure - (Measured in Newton) - Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.
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
Total Pore Pressure: 2 Newton --> 2 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^' = ((f_s*ΣT)-((ΣN-ΣU)*tan((φ'*pi)/180)))/c' --> ((2.8*5)-((5-2)*tan((0.174358392274201*pi)/180)))/4

Evaluating ... ...

L^' = 3.4977176469369

STEP 3: Convert Result to Output's Unit

3.4977176469369 Meter --> No Conversion Required

FINAL ANSWER

3.4977176469369 ≈ 3.497718 Meter <-- Length of Slip Arc

(Calculation completed in 00.009 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » Length of Slip Circle given Factor of Safety of Earth Dam

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 of Earth Dam Formula

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 of Earth Dam?

Length of Slip Circle given Factor of Safety of Earth Dam calculator uses 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 to calculate the Length of Slip Arc, The Length of Slip Circle given Factor of Safety of Earth Dam is defined as the 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 of Earth Dam using this online calculator? To use this online calculator for Length of Slip Circle given Factor of Safety of Earth Dam, enter Factor of Safety (f_s), Sum of all Tangential Component (ΣT), Sum of all Normal Component (ΣN), Total Pore Pressure (ΣU), 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 of Earth Dam calculation can be explained with given input values -> 3.497715 = ((2.8*5)-((5-2)*tan((0.174358392274201*pi)/180)))/4.

FAQ

What is Length of Slip Circle given Factor of Safety of Earth Dam?

The Length of Slip Circle given Factor of Safety of Earth Dam is defined as the value of length of slip circle when we have prior information of other parameters used and is represented as L^' = ((f_s*ΣT)-((ΣN-ΣU)*tan((φ'*pi)/180)))/c' or 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. 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, Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs, 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 of Earth Dam?

The Length of Slip Circle given Factor of Safety of Earth Dam is defined as the 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-Total Pore Pressure)*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion. To calculate Length of Slip Circle given Factor of Safety of Earth Dam, you need Factor of Safety (f_s), Sum of all Tangential Component (ΣT), Sum of all Normal Component (ΣN), Total Pore Pressure (ΣU), 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, Total Pore Pressure, 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, Total Pore Pressure, 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*tan((Effective Angle of Internal Friction*pi)/180)))/Effective Cohesion

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