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Radial Distance from Centre of Rotation given Factor of Safety Formula

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GoRadial Distance from Center of Rotation given Length of Slip Arc Formula

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GoRadial Distance from Centre of Rotation given Moment of Resistance Formula

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

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

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

Radial Distance from Centre of Rotation given Factor of Safety Example

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Here is how the Radial Distance from Centre of Rotation given Factor of Safety equation looks like with Values.

Here is how the Radial Distance from Centre of Rotation given Factor of Safety equation looks like with Units.

Here is how the Radial Distance from Centre of Rotation given Factor of Safety equation looks like.

0.9333 = \frac{2.8}{\frac{10 \cdot 3.0001}{8 \cdot 1.25}}

0.9333m = \frac{2.8}{\frac{10Pa \cdot 3.0001m}{8N \cdot 1.25m}}

0.9333 = \frac{2.8}{\frac{10 \cdot 3.0001}{8 \cdot 1.25}}

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Radial Distance from Centre of Rotation given Factor of Safety Solution

Follow our step by step solution on how to calculate Radial Distance from Centre of Rotation given Factor of Safety?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d radial = \frac{2.8}{\frac{10Pa \cdot 3.0001m}{8N \cdot 1.25m}}

Next Step Prepare to Evaluate

∴

d radial = \frac{2.8}{\frac{10 \cdot 3.0001}{8 \cdot 1.25}}

Next Step Evaluate

∴

d radial = 0.933302223259225m

LAST Step Rounding Answer

∴

d radial = 0.9333m

Radial Distance from Centre of Rotation given Factor of Safety Formula Elements

Variables

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

Other Formulas to find Radial Distance

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 Radial Distance from Centre of Rotation given Moment of Resistance

d radial = \frac{M R}{c u \cdot L'}

Go Radial Distance from Centre of Rotation given Mobilized Shear Resistance of Soil

d radial = \frac{c m}{\frac{W \cdot x'}{L'}}

Other formulas in The Swedish Slip Circle Method category

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}

Go Distance between Line of Action of Weight and Line Passing through Center

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

See More

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How to Evaluate Radial Distance from Centre of Rotation given Factor of Safety?

Radial Distance from Centre of Rotation given Factor of Safety evaluator uses Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR)) to evaluate the Radial Distance, The Radial Distance from Centre of Rotation given Factor of Safety formula is defined as the distance from the center of a circle (or circular slip surface) to a point on the slip arc, where the rotational movement or failure is analyzed, given factor of safety. Radial Distance is denoted by d_radial symbol.

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

FAQs on Radial Distance from Centre of Rotation given Factor of Safety

What is the formula to find Radial Distance from Centre of Rotation given Factor of Safety?

The formula of Radial Distance from Centre of Rotation given Factor of Safety is expressed as Radial Distance = Factor of Safety/((Unit Cohesion*Length of Slip Arc)/(Weight of Body in Newtons*Distance between LOA and COR)). Here is an example- 1.505376 = 2.8/((10*3.0001)/(8*1.25)).

How to calculate Radial Distance from Centre of Rotation given Factor of Safety?

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

What are the other ways to Calculate Radial Distance?

Here are the different ways to Calculate Radial Distance-

Radial Distance=(360*Length of Slip Arc)/(2*pi*Arc Angle*(180/pi))
Radial Distance=Resisting Moment/(Unit Cohesion*Length of Slip Arc)
Radial Distance=Mobilized Shear Resistance of Soil/((Weight of Body in Newtons*Distance between LOA and COR)/Length of Slip Arc)

Can the Radial Distance from Centre of Rotation given Factor of Safety be negative?

Yes, the Radial Distance from Centre of Rotation given Factor of Safety, measured in Length can be negative.

Which unit is used to measure Radial Distance from Centre of Rotation given Factor of Safety?

Radial Distance from Centre of Rotation 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 Radial Distance from Centre of Rotation given Factor of Safety can be measured.

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