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Length of Slip Arc given Factor of Safety Formula

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Length of Slip Arc with Factor of Safety is the measurement of the path along which potential sliding or failure could occur in a slope or soil mass, considering FOS. Check FAQs

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

L_s' - Length of Slip Arc with Factor of Safety?f_s - Factor of Safety?c_u - Unit Cohesion?d_radial - Radial Distance?W - Weight of Body in Newtons?x' - Distance between LOA and COR?

Length of Slip Arc given Factor of Safety Example

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Here is how the Length of Slip Arc given Factor of Safety equation looks like with Values.

Here is how the Length of Slip Arc given Factor of Safety equation looks like with Units.

Here is how the Length of Slip Arc given Factor of Safety equation looks like.

1.8667 = \frac{2.8}{\frac{10 \cdot 1.5}{8 \cdot 1.25}}

1.8667m = \frac{2.8}{\frac{10Pa \cdot 1.5m}{8N \cdot 1.25m}}

1.8667 = \frac{2.8}{\frac{10 \cdot 1.5}{8 \cdot 1.25}}

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Length of Slip Arc given Factor of Safety Solution

Follow our step by step solution on how to calculate Length of Slip Arc given Factor of Safety?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L s' = \frac{2.8}{\frac{10Pa \cdot 1.5m}{8N \cdot 1.25m}}

Next Step Prepare to Evaluate

∴

L s' = \frac{2.8}{\frac{10 \cdot 1.5}{8 \cdot 1.25}}

Next Step Evaluate

∴

L s' = 1.86666666666667m

LAST Step Rounding Answer

∴

L s' = 1.8667m

Length of Slip Arc given Factor of Safety Formula Elements

Variables

Length of Slip Arc with Factor of Safety

Length of Slip Arc with Factor of Safety is the measurement of the path along which potential sliding or failure could occur in a slope or soil mass, considering FOS.

Symbol: L_s'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Slip Arc with Factor of Safety

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

Radial Distance

Radial Distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Weight of Body in Newtons

Weight of Body in Newtons is the force with which a body is pulled toward the earth.

Symbol: W

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Weight of Body in Newtons

Distance between LOA and COR

Distance between LOA and COR is the distance between the line of action and the line passing through the center which is the perpendicular distance from a point to a line in a geometric configuration.

Symbol: x'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance between LOA and COR

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 Arc given Factor of Safety?

Length of Slip Arc given Factor of Safety evaluator uses Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)) to evaluate the Length of Slip Arc with Factor of Safety, The Length of Slip Arc given Factor of Safety formula is defined as value of length of slip arc when we have prior information of factor of safety. Length of Slip Arc with Factor of Safety is denoted by L_s' symbol.

How to evaluate Length of Slip Arc given Factor of Safety using this online evaluator? To use this online evaluator for Length of Slip Arc given Factor of Safety, enter Factor of Safety (f_s), Unit Cohesion (c_u), Radial Distance (d_radial), Weight of Body in Newtons (W) & Distance between LOA and COR (x') and hit the calculate button.

FAQs on Length of Slip Arc given Factor of Safety

What is the formula to find Length of Slip Arc given Factor of Safety?

The formula of Length of Slip Arc given Factor of Safety is expressed as Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)). Here is an example- 1.866667 = 2.8/((10*1.5)/(8*1.25)).

How to calculate Length of Slip Arc given Factor of Safety?

With Factor of Safety (f_s), Unit Cohesion (c_u), Radial Distance (d_radial), Weight of Body in Newtons (W) & Distance between LOA and COR (x') we can find Length of Slip Arc given Factor of Safety using the formula - Length of Slip Arc with Factor of Safety = Factor of Safety/((Unit Cohesion*Radial Distance)/(Weight of Body in Newtons*Distance between LOA and COR)).

Can the Length of Slip Arc given Factor of Safety be negative?

No, the Length of Slip Arc given Factor of Safety, measured in Length cannot be negative.

Which unit is used to measure Length of Slip Arc given Factor of Safety?

Length of Slip Arc given Factor of Safety 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 Arc given Factor of Safety can be measured.

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Length of Slip Arc given Factor of Safety Formula

Length of Slip Arc given Factor of Safety Example

Length of Slip Arc given Factor of Safety Solution

Length of Slip Arc given Factor of Safety Formula Elements

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Length of Slip Arc given Factor of Safety?

FAQs on Length of Slip Arc given Factor of Safety

Variable Name