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Length of Slip Circle given Sum of Tangential Component Formula

GoTotal Length of Slip Circle given Resisting Moment Formula

GoLength of Slip Arc Formula

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

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

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

Length of Slip Circle given Sum of Tangential Component Example

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Here is how the Length of Slip Circle given Sum of Tangential Component equation looks like with Values.

Here is how the Length of Slip Circle given Sum of Tangential Component equation looks like with Units.

Here is how the Length of Slip Circle given Sum of Tangential Component equation looks like.

3.0785 = \frac{(2.8 \cdot 11) - (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{10}

3.0785m = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{10Pa}

3.0785 = \frac{(2.8 \cdot 11) - (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{10}

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Length of Slip Circle given Sum of Tangential Component Solution

Follow our step by step solution on how to calculate Length of Slip Circle given Sum of Tangential Component?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L' = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{9.93° \cdot π}{180}))}{10Pa}

Next Step Substitute values of Constants

∴

L' = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{10Pa}

Next Step Convert Units

∴

L' = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{0.1733rad \cdot 3.1416}{180}))}{10Pa}

Next Step Prepare to Evaluate

∴

L' = \frac{(2.8 \cdot 11) - (5.01 \cdot \tan (\frac{0.1733 \cdot 3.1416}{180}))}{10}

Next Step Evaluate

∴

L' = 3.07848454503778m

LAST Step Rounding Answer

∴

L' = 3.0785m

Length of Slip Circle given Sum of Tangential Component Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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 Length of Slip Arc

Go Total Length of Slip Circle given Resisting Moment

L' = \frac{(\frac{M R}{r}) - (ΣN \cdot \tan ((Φ i)))}{c u}

Go Length of Slip Arc

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

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 Length of Slip Circle given Sum of Tangential Component?

Length of Slip Circle given Sum of Tangential Component evaluator uses Length of Slip Arc = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion to evaluate the Length of Slip Arc, The Length of Slip Circle given Sum of Tangential Component formula is defined as the circumference of the circular failure surface assumed to pass through a potential slip plane within a soil mass. It is a critical parameter used in analyzing slope stability, particularly in the context of the slip circle method. Length of Slip Arc is denoted by L^' symbol.

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

FAQs on Length of Slip Circle given Sum of Tangential Component

What is the formula to find Length of Slip Circle given Sum of Tangential Component?

The formula of Length of Slip Circle given Sum of Tangential Component is expressed as Length of Slip Arc = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion. Here is an example- 3.078485 = ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/10.

How to calculate Length of Slip Circle given Sum of Tangential Component?

With Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Unit Cohesion (c_u) we can find Length of Slip Circle given Sum of Tangential Component using the formula - Length of Slip Arc = ((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Unit Cohesion. This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Length of Slip Arc?

Here are the different ways to Calculate Length of Slip Arc-

Length of Slip Arc=((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion
Length of Slip Arc=(2*pi*Radial Distance*Arc Angle*(180/pi))/360

Can the Length of Slip Circle given Sum of Tangential Component be negative?

No, the Length of Slip Circle given Sum of Tangential Component, measured in Length cannot be negative.

Which unit is used to measure Length of Slip Circle given Sum of Tangential Component?

Length of Slip Circle given Sum of Tangential Component is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Slip Circle given Sum of Tangential Component can be measured.

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Length of Slip Circle given Sum of Tangential Component Formula

​GoTotal Length of Slip Circle given Resisting Moment Formula

​GoLength of Slip Arc Formula

Length of Slip Circle given Sum of Tangential Component Example

Length of Slip Circle given Sum of Tangential Component Solution

Length of Slip Circle given Sum of Tangential Component Formula Elements

Other Formulas to find Length of Slip Arc

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Length of Slip Circle given Sum of Tangential Component?

FAQs on Length of Slip Circle given Sum of Tangential Component

Variable Name

GoTotal Length of Slip Circle given Resisting Moment Formula

GoLength of Slip Arc Formula