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

GoSum of All Tangential Component given Factor of Safety in Absence of Flow Net Formula

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Sum of all Tangential Component means total tangential component. Check FAQs

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

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

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

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Here is how the Sum of All Tangential Component given Factor of Safety of Earth Dam equation looks like with Values.

Here is how the Sum of All Tangential Component given Factor of Safety of Earth Dam equation looks like with Units.

Here is how the Sum of All Tangential Component given Factor of Safety of Earth Dam equation looks like.

4.9749 = \frac{(4.64 \cdot 3.0001) + ((5.01 - 2) \cdot \tan (\frac{9.99 \cdot 3.1416}{180}))}{2.8}

4.9749N = \frac{(4.64Pa \cdot 3.0001m) + ((5.01N - 2N) \cdot \tan (\frac{9.99° \cdot 3.1416}{180}))}{2.8}

4.9749 = \frac{(4.64 \cdot 3.0001) + ((5.01 - 2) \cdot \tan (\frac{9.99 \cdot 3.1416}{180}))}{2.8}

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

Follow our step by step solution on how to calculate Sum of All Tangential Component given Factor of Safety of Earth Dam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΣT = \frac{(4.64Pa \cdot 3.0001m) + ((5.01N - 2N) \cdot \tan (\frac{9.99° \cdot π}{180}))}{2.8}

Next Step Substitute values of Constants

∴

ΣT = \frac{(4.64Pa \cdot 3.0001m) + ((5.01N - 2N) \cdot \tan (\frac{9.99° \cdot 3.1416}{180}))}{2.8}

Next Step Convert Units

∴

ΣT = \frac{(4.64Pa \cdot 3.0001m) + ((5.01N - 2N) \cdot \tan (\frac{0.1744rad \cdot 3.1416}{180}))}{2.8}

Next Step Prepare to Evaluate

∴

ΣT = \frac{(4.64 \cdot 3.0001) + ((5.01 - 2) \cdot \tan (\frac{0.1744 \cdot 3.1416}{180}))}{2.8}

Next Step Evaluate

∴

ΣT = 4.97486565843806N

LAST Step Rounding Answer

∴

ΣT = 4.9749N

Sum of All Tangential Component given Factor of Safety of Earth Dam Formula Elements

Variables

Constants

Functions

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

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

Total Pore Pressure

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.

Symbol: ΣU

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Pore Pressure

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

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

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 Sum of all Tangential Component

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}

Other formulas in Stability of Slopes In Earthen Dams category

Go Factor of Safety of Earth Dam

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

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'}

How to Evaluate Sum of All Tangential Component given Factor of Safety of Earth Dam?

Sum of All Tangential Component given Factor of Safety of Earth Dam evaluator uses 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 to evaluate the Sum of all Tangential Component, The Sum of All Tangential Component given Factor of Safety of Earth Dam is defined as the value of total tangential component when we have prior information of factor of safety of earth dam. Sum of all Tangential Component is denoted by ΣT symbol.

How to evaluate Sum of All Tangential Component given Factor of Safety of Earth Dam using this online evaluator? To use this online evaluator for Sum of All Tangential Component given Factor of Safety of Earth Dam, enter Effective Cohesion (c'), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Total Pore Pressure (ΣU), Effective Angle of Internal Friction (φ') & Factor of Safety (f_s) and hit the calculate button.

FAQs on Sum of All Tangential Component given Factor of Safety of Earth Dam

What is the formula to find Sum of All Tangential Component given Factor of Safety of Earth Dam?

The formula of Sum of All Tangential Component given Factor of Safety of Earth Dam is expressed as 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. Here is an example- 3.085557 = ((4.64*3.0001)+((5.01-2)*tan((0.174358392274201*pi)/180)))/2.8.

How to calculate Sum of All Tangential Component given Factor of Safety of Earth Dam?

With Effective Cohesion (c'), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Total Pore Pressure (ΣU), Effective Angle of Internal Friction (φ') & Factor of Safety (f_s) we can find Sum of All Tangential Component given Factor of Safety of Earth Dam using the formula - 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. This formula also uses Archimedes' constant and Tangent function(s).

What are the other ways to Calculate Sum of all Tangential Component?

Here are the different ways to Calculate Sum of all Tangential Component-

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

Can the Sum of All Tangential Component given Factor of Safety of Earth Dam be negative?

No, the Sum of All Tangential Component given Factor of Safety of Earth Dam, measured in Force cannot be negative.

Which unit is used to measure Sum of All Tangential Component given Factor of Safety of Earth Dam?

Sum of All Tangential Component given Factor of Safety of Earth Dam is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Sum of All Tangential Component given Factor of Safety of Earth Dam can be measured.

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

​GoSum of All Tangential Component given Factor of Safety in Absence of Flow Net Formula

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

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

Sum of All Tangential Component given Factor of Safety of Earth Dam Formula Elements

Other Formulas to find Sum of all Tangential Component

Other formulas in Stability of Slopes In Earthen Dams category

How to Evaluate Sum of All Tangential Component given Factor of Safety of Earth Dam?

FAQs on Sum of All Tangential Component given Factor of Safety of Earth Dam

Variable Name

GoSum of All Tangential Component given Factor of Safety in Absence of Flow Net Formula