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Factor of Safety given Sum of Tangential Component Formula

GoFactor of Safety given Moment of Resistance Formula

GoFactor of Safety given Unit Cohesion 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 u \cdot L') + (ΣN \cdot \tan (\frac{φ \cdot π}{180}))}{F t}

f_s - Factor of Safety?c_u - Unit Cohesion?L^' - Length of Slip Arc?ΣN - Sum of all Normal Component?φ - Angle of Internal Friction?F_t - Sum of All Tangential Component in Soil Mechanics?π - Archimedes' constant?

Factor of Safety given Sum of Tangential Component Example

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

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

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

2.7287 = \frac{(10 \cdot 3.0001) + (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{11}

2.7287 = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{11N}

2.7287 = \frac{(10 \cdot 3.0001) + (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{11}

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Factor of Safety given Sum of Tangential Component Solution

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

FIRST Step Consider the formula

f s = \frac{(c u \cdot L') + (ΣN \cdot \tan (\frac{φ \cdot π}{180}))}{F t}

Next Step Substitute values of Variables

∴

f s = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.93° \cdot π}{180}))}{11N}

Next Step Substitute values of Constants

∴

f s = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{11N}

Next Step Convert Units

∴

f s = \frac{(10Pa \cdot 3.0001m) + (5.01N \cdot \tan (\frac{0.1733rad \cdot 3.1416}{180}))}{11N}

Next Step Prepare to Evaluate

∴

f s = \frac{(10 \cdot 3.0001) + (5.01 \cdot \tan (\frac{0.1733 \cdot 3.1416}{180}))}{11}

Next Step Evaluate

∴

f s = 2.72874132269293

LAST Step Rounding Answer

∴

f s = 2.7287

Factor of Safety given Sum of Tangential Component 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

Unit Cohesion

Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles.

Symbol: c_u

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Unit 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

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

Sum of All Tangential Component in Soil Mechanics

Sum of All Tangential Component in Soil Mechanics means total tangential component.

Symbol: F_t

Measurement: ForceUnit: N

Note: Value should be between 0 to 180.

Formulas to find Sum of All Tangential Component in Soil Mechanics

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 given Moment of Resistance

f s = \frac{M R}{M D}

Go Factor of Safety given Unit Cohesion

f s = \frac{c u \cdot L s' \cdot d radial}{W \cdot x'}

Go Factor of Safety given Mobilized Shear resistance of Soil

f s = \frac{c u}{c m}

Other formulas in The Swedish Slip Circle Method category

Go Radial Distance from Center of Rotation given Length of Slip Arc

d radial = \frac{360 \cdot L'}{2 \cdot π \cdot δ \cdot (\frac{180}{π})}

Go Arc Angle given Length of Slip Arc

δ = \frac{360 \cdot L'}{2 \cdot π \cdot d radial} \cdot (\frac{π}{180})

Go Moment of Resistance given Factor of Safety

M r' = f s \cdot M D

Go Driving Moment given Factor of Safety

M D = \frac{M R}{f s}

How to Evaluate Factor of Safety given Sum of Tangential Component?

Factor of Safety given Sum of Tangential Component evaluator uses Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics to evaluate the Factor of Safety, The Factor of Safety given Sum of Tangential Component formula is defined as the ratio of allowable stress to the sum of tangential components to ensure structural stability. Factor of Safety is denoted by f_s symbol.

How to evaluate Factor of Safety given Sum of Tangential Component using this online evaluator? To use this online evaluator for Factor of Safety given Sum of Tangential Component, enter Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Sum of All Tangential Component in Soil Mechanics (F_t) and hit the calculate button.

FAQs on Factor of Safety given Sum of Tangential Component

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

The formula of Factor of Safety given Sum of Tangential Component is expressed as Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics. Here is an example- 2.728741 = ((10*3.0001)+(5.01*tan((0.173311194723004*pi)/180)))/11.

How to calculate Factor of Safety given Sum of Tangential Component?

With Unit Cohesion (c_u), Length of Slip Arc (L^'), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Sum of All Tangential Component in Soil Mechanics (F_t) we can find Factor of Safety given Sum of Tangential Component using the formula - Factor of Safety = ((Unit Cohesion*Length of Slip Arc)+(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Sum of All Tangential Component in Soil Mechanics. 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=Resisting Moment/Driving Moment
Factor of Safety=(Unit Cohesion*Length of Slip Arc with Factor of Safety*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)
Factor of Safety=Unit Cohesion/Mobilized Shear Resistance of Soil

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Factor of Safety given Sum of Tangential Component Formula

​GoFactor of Safety given Moment of Resistance Formula

​GoFactor of Safety given Unit Cohesion Formula

Factor of Safety given Sum of Tangential Component Example

Factor of Safety given Sum of Tangential Component Solution

Factor of Safety given Sum of Tangential Component Formula Elements

Other Formulas to find Factor of Safety

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Factor of Safety given Sum of Tangential Component?

FAQs on Factor of Safety given Sum of Tangential Component

Variable Name

GoFactor of Safety given Moment of Resistance Formula

GoFactor of Safety given Unit Cohesion Formula