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Factor of Safety in Absence of Flow Net Formula

GoFactor of Safety of Earth Dam Formula

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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. Check FAQs

f s = \frac{(c' \cdot L') + (ΣN \cdot \tan (\frac{φ' \cdot π}{180}))}{ΣT}

f_s - Factor of Safety?c' - Effective Cohesion?L^' - Length of Slip Arc?ΣN - Sum of all Normal Component?φ' - Effective Angle of Internal Friction?ΣT - Sum of all Tangential Component?π - Archimedes' constant?

Factor of Safety in Absence of Flow Net Example

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Here is how the Factor of Safety in Absence of Flow Net equation looks like with Values.

Here is how the Factor of Safety in Absence of Flow Net equation looks like with Units.

Here is how the Factor of Safety in Absence of Flow Net equation looks like.

2.7983 = \frac{(4.64 \cdot 3.0001) + (5.01 \cdot \tan (\frac{9.99 \cdot 3.1416}{180}))}{4.98}

2.7983 = \frac{(4.64Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.99° \cdot 3.1416}{180}))}{4.98N}

2.7983 = \frac{(4.64 \cdot 3.0001) + (5.01 \cdot \tan (\frac{9.99 \cdot 3.1416}{180}))}{4.98}

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Factor of Safety in Absence of Flow Net Solution

Follow our step by step solution on how to calculate Factor of Safety in Absence of Flow Net?

FIRST Step Consider the formula

f s = \frac{(c' \cdot L') + (ΣN \cdot \tan (\frac{φ' \cdot π}{180}))}{ΣT}

Next Step Substitute values of Variables

∴

f s = \frac{(4.64Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.99° \cdot π}{180}))}{4.98N}

Next Step Substitute values of Constants

∴

f s = \frac{(4.64Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.99° \cdot 3.1416}{180}))}{4.98N}

Next Step Convert Units

∴

f s = \frac{(4.64Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{0.1744rad \cdot 3.1416}{180}))}{4.98N}

Next Step Prepare to Evaluate

∴

f s = \frac{(4.64 \cdot 3.0001) + (5.01 \cdot \tan (\frac{0.1744 \cdot 3.1416}{180}))}{4.98}

Next Step Evaluate

∴

f s = 2.79833536515291

LAST Step Rounding Answer

∴

f s = 2.7983

Factor of Safety in Absence of Flow Net Formula Elements

Variables

Constants

Functions

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.

Symbol: f_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety

Effective Cohesion

Effective Cohesion is the cohesive strength of soil that is attributed to the soil's inherent properties, such as chemical bonding and other physicochemical forces between soil particles.

Symbol: c'

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Effective Cohesion

Length of Slip Arc

Length of Slip Arc is the length of the arc formed by slip circle.

Symbol: L^'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Slip Arc

Sum of all Normal Component

Sum of all Normal Component means total normal force on slip circle.

Symbol: ΣN

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Sum of all Normal Component

Effective Angle of Internal Friction

Effective Angle of Internal Friction is the shear strength of soil due to the friction between soil particles when subjected to effective stress.

Symbol: φ'

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Effective Angle of Internal Friction

Sum of all Tangential Component

Sum of all Tangential Component means total tangential component.

Symbol: ΣT

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Sum of all Tangential Component

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: tan(Angle)

Other Formulas to find Factor of Safety

Go Factor of Safety of Earth Dam

f s = \frac{(c' \cdot L') + ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{ΣT}

Other formulas in Stability of Slopes In Earthen Dams category

Go Sum of All Tangential Component given Factor of Safety of Earth Dam

ΣT = \frac{(c' \cdot L') + ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{f s}

Go Effective Cohesion given Factor of Safety of Earth Dam

c' = \frac{(f s \cdot ΣT) - ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{L'}

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

L' = \frac{(f s \cdot ΣT) - ((ΣN - ΣU) \cdot \tan (\frac{φ' \cdot π}{180}))}{c'}

Go Sum of All Tangential Component given Factor of Safety in Absence of Flow Net

ΣT = \frac{(c' \cdot L') + (ΣN \cdot \tan (\frac{φ' \cdot π}{180}))}{f s}

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

Factor of Safety in Absence of Flow Net evaluator 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 evaluate the Factor of Safety, The Factor of Safety in Absence of Flow Net formula is defined as 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 evaluate Factor of Safety in Absence of Flow Net using this online evaluator? To use this online evaluator 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.

FAQs on Factor of Safety in Absence of Flow Net

What is the formula to find Factor of Safety in Absence of Flow Net?

The formula of Factor of Safety in Absence of Flow Net is expressed as 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. Here is an example- 1.736074 = ((4.64*3.0001)+(5.01*tan((0.174358392274201*pi)/180)))/4.98.

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

With 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) we can find Factor of Safety in Absence of Flow Net using the formula - 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. This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Factor of Safety?

Here are the different ways to Calculate Factor of Safety-

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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Factor of Safety in Absence of Flow Net Formula

​GoFactor of Safety of Earth Dam Formula

Factor of Safety in Absence of Flow Net Example

Factor of Safety in Absence of Flow Net Solution

Factor of Safety in Absence of Flow Net Formula Elements

Other Formulas to find Factor of Safety

Other formulas in Stability of Slopes In Earthen Dams category

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

FAQs on Factor of Safety in Absence of Flow Net

Variable Name

GoFactor of Safety of Earth Dam Formula