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Total Length of Slip Circle given Resisting Moment Formula

GoLength of Slip Circle given Sum of Tangential Component 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{(\frac{M R}{r}) - (ΣN \cdot \tan ((Φ i)))}{c u}

L^' - Length of Slip Arc?M_R - Resisting Moment?r - Radius of Slip Circle?ΣN - Sum of all Normal Component?Φ_i - Angle of Internal Friction of Soil?c_u - Unit Cohesion?

Total Length of Slip Circle given Resisting Moment Example

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Here is how the Total Length of Slip Circle given Resisting Moment equation looks like with Values.

Here is how the Total Length of Slip Circle given Resisting Moment equation looks like with Units.

Here is how the Total Length of Slip Circle given Resisting Moment equation looks like.

3.5032 = \frac{(\frac{45.05}{0.6}) - (5.01 \cdot \tan ((82.87)))}{10}

3.5032m = \frac{(\frac{45.05kN*m}{0.6m}) - (5.01N \cdot \tan ((82.87°)))}{10Pa}

3.5032 = \frac{(\frac{45.05}{0.6}) - (5.01 \cdot \tan ((82.87)))}{10}

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Total Length of Slip Circle given Resisting Moment Solution

Follow our step by step solution on how to calculate Total Length of Slip Circle given Resisting Moment?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L' = \frac{(\frac{45.05kN*m}{0.6m}) - (5.01N \cdot \tan ((82.87°)))}{10Pa}

Next Step Convert Units

∴

L' = \frac{(\frac{45.05kN*m}{0.6m}) - (5.01N \cdot \tan ((1.4464rad)))}{10Pa}

Next Step Prepare to Evaluate

∴

L' = \frac{(\frac{45.05}{0.6}) - (5.01 \cdot \tan ((1.4464)))}{10}

Next Step Evaluate

∴

L' = 3.50316390388665m

LAST Step Rounding Answer

∴

L' = 3.5032m

Total Length of Slip Circle given Resisting Moment Formula Elements

Variables

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

Resisting Moment

Resisting Moment is the moment (or torque) that counteracts the applied moment or load that tends to cause rotation or failure in a soil mass or structure.

Symbol: M_R

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Resisting Moment

Radius of Slip Circle

Radius of Slip Circle is the distance between center and one point on slip circle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Slip Circle

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 of Soil

Angle of Internal Friction of Soil is a measure of the shear strength of soil due to friction.

Symbol: Φ_i

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Angle of Internal Friction of Soil

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

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 Length of Slip Circle given Sum of Tangential Component

L' = \frac{(f s \cdot F t) - (ΣN \cdot \tan (\frac{φ \cdot π}{180}))}{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 Total Length of Slip Circle given Resisting Moment?

Total Length of Slip Circle given Resisting Moment evaluator uses Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion to evaluate the Length of Slip Arc, The Total Length of Slip Circle given Resisting Moment formula is defined as the measure of the value of perimeter of the circular failure surface assumed in slope stability analysis. This circle represents the potential slip surface along which a slope might fail under the influence of external forces (such as gravity, water pressure, or seismic forces). Length of Slip Arc is denoted by L^' symbol.

How to evaluate Total Length of Slip Circle given Resisting Moment using this online evaluator? To use this online evaluator for Total Length of Slip Circle given Resisting Moment, enter Resisting Moment (M_R), Radius of Slip Circle (r), Sum of all Normal Component (ΣN), Angle of Internal Friction of Soil (Φ_i) & Unit Cohesion (c_u) and hit the calculate button.

FAQs on Total Length of Slip Circle given Resisting Moment

What is the formula to find Total Length of Slip Circle given Resisting Moment?

The formula of Total Length of Slip Circle given Resisting Moment is expressed as Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion. Here is an example- 3.503164 = ((45050/0.6)-(5.01*tan((1.44635435112743))))/10.

How to calculate Total Length of Slip Circle given Resisting Moment?

With Resisting Moment (M_R), Radius of Slip Circle (r), Sum of all Normal Component (ΣN), Angle of Internal Friction of Soil (Φ_i) & Unit Cohesion (c_u) we can find Total Length of Slip Circle given Resisting Moment using the formula - Length of Slip Arc = ((Resisting Moment/Radius of Slip Circle)-(Sum of all Normal Component*tan((Angle of Internal Friction of Soil))))/Unit Cohesion. This formula also uses 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=((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
Length of Slip Arc=(2*pi*Radial Distance*Arc Angle*(180/pi))/360

Can the Total Length of Slip Circle given Resisting Moment be negative?

No, the Total Length of Slip Circle given Resisting Moment, measured in Length cannot be negative.

Which unit is used to measure Total Length of Slip Circle given Resisting Moment?

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

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Total Length of Slip Circle given Resisting Moment Formula

​GoLength of Slip Circle given Sum of Tangential Component Formula

​GoLength of Slip Arc Formula

Total Length of Slip Circle given Resisting Moment Example

Total Length of Slip Circle given Resisting Moment Solution

Total Length of Slip Circle given Resisting Moment Formula Elements

Other Formulas to find Length of Slip Arc

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Total Length of Slip Circle given Resisting Moment?

FAQs on Total Length of Slip Circle given Resisting Moment

Variable Name

GoLength of Slip Circle given Sum of Tangential Component Formula

GoLength of Slip Arc Formula