Factor of Safety in Absence of Flow Net Calculator

✖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 Arc [L^']			+10% -10%
✖Sum of all Normal Component means total normal force on slip circle.ⓘ Sum of all Normal Component [ΣN]			+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%
✖Sum of all Tangential Component means total tangential component.ⓘ Sum of all Tangential Component [ΣT]			+10% -10%

✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety in Absence of Flow Net [f_s]

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Formula

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Factor of Safety in Absence of Flow Net

Formula

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

Example

`"2.403123"=(("4Pa"*"3.0001m")+("5N"*tan(("9.99°"*pi)/180)))/"5N"`

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Factor of Safety in Absence of Flow Net Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
f_s = ((c'*L^')+(ΣN*tan((φ'*pi)/180)))/ΣT
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

Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
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.
Length of Slip Arc - (Measured in Meter) - Length of Slip Arc is the length of the arc formed by slip circle.
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.
Sum of all Tangential Component - (Measured in Newton) - Sum of all Tangential Component means total tangential component.

STEP 1: Convert Input(s) to Base Unit

Effective Cohesion: 4 Pascal --> 4 Pascal No Conversion Required
Length of Slip Arc: 3.0001 Meter --> 3.0001 Meter 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)
Sum of all Tangential Component: 5 Newton --> 5 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_s = ((c'*L^')+(ΣN*tan((φ'*pi)/180)))/ΣT --> ((4*3.0001)+(5*tan((0.174358392274201*pi)/180)))/5

Evaluating ... ...

f_s = 2.40312313741746

STEP 3: Convert Result to Output's Unit

2.40312313741746 --> No Conversion Required

FINAL ANSWER

2.40312313741746 ≈ 2.403123 <-- Factor of Safety

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Stability of Slopes In Earthen Dams » Factor of Safety in Absence of Flow Net

Credits

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)

Factor of Safety in Absence of Flow Net Formula

What is Factor of Safety?

The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the reliability of a particular design.

How to Calculate Factor of Safety in Absence of Flow Net?

Factor of Safety in Absence of Flow Net calculator uses 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 to calculate the Factor of Safety, The Factor of Safety in Absence of Flow Net calculates the value of factor of safety by not considering pore water pressure when we have prior information of other parameters used. Factor of Safety is denoted by f_s symbol.

How to calculate Factor of Safety in Absence of Flow Net using this online calculator? To use this online calculator for Factor of Safety in Absence of Flow Net, enter Effective Cohesion (c'), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Effective Angle of Internal Friction (φ') & Sum of all Tangential Component (ΣT) and hit the calculate button. Here is how the Factor of Safety in Absence of Flow Net calculation can be explained with given input values -> 2.403126 = ((4*3.0001)+(5*tan((0.174358392274201*pi)/180)))/5.

FAQ

What is Factor of Safety in Absence of Flow Net?

The Factor of Safety in Absence of Flow Net calculates the value of factor of safety by not considering pore water pressure when we have prior information of other parameters used and is represented as f_s = ((c'*L^')+(ΣN*tan((φ'*pi)/180)))/ΣT or 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. 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, Length of Slip Arc is the length of the arc formed by slip circle, 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 & Sum of all Tangential Component means total tangential component.

How to calculate Factor of Safety in Absence of Flow Net?

The Factor of Safety in Absence of Flow Net calculates the value of factor of safety by not considering pore water pressure when we have prior information of other parameters used is calculated using 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. To calculate Factor of Safety in Absence of Flow Net, you need Effective Cohesion (c'), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Effective Angle of Internal Friction (φ') & Sum of all Tangential Component (ΣT). With our tool, you need to enter the respective value for Effective Cohesion, Length of Slip Arc, Sum of all Normal Component, Effective Angle of Internal Friction & Sum of all Tangential Component 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 Factor of Safety?

In this formula, Factor of Safety uses Effective Cohesion, Length of Slip Arc, Sum of all Normal Component, Effective Angle of Internal Friction & Sum of all Tangential Component. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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