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Factor of Safety given Unit Cohesion Formula

GoFactor of Safety given Moment of Resistance Formula

GoFactor of Safety given Mobilized Shear resistance of Soil 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 s' \cdot d radial}{W \cdot x'}

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

Factor of Safety given Unit Cohesion Example

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Here is how the Factor of Safety given Unit Cohesion equation looks like with Values.

Here is how the Factor of Safety given Unit Cohesion equation looks like with Units.

Here is how the Factor of Safety given Unit Cohesion equation looks like.

2.799 = \frac{10 \cdot 1.866 \cdot 1.5}{8 \cdot 1.25}

2.799 = \frac{10Pa \cdot 1.866m \cdot 1.5m}{8N \cdot 1.25m}

2.799 = \frac{10 \cdot 1.866 \cdot 1.5}{8 \cdot 1.25}

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Factor of Safety given Unit Cohesion Solution

Follow our step by step solution on how to calculate Factor of Safety given Unit Cohesion?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f s = \frac{10Pa \cdot 1.866m \cdot 1.5m}{8N \cdot 1.25m}

Next Step Prepare to Evaluate

∴

f s = \frac{10 \cdot 1.866 \cdot 1.5}{8 \cdot 1.25}

LAST Step Evaluate

∴

f s = 2.799

Factor of Safety given Unit Cohesion Formula Elements

Variables

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 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

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 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 Mobilized Shear resistance of Soil

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

Go Factor of Safety given Sum of Tangential Component

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

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 Unit Cohesion?

Factor of Safety given Unit Cohesion evaluator uses 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) to evaluate the Factor of Safety, The Factor of Safety given Unit Cohesion formula is defined as ratio of resisting unit cohesion to applied stress, ensuring stability and preventing soil failure in geotechnical engineering. Factor of Safety is denoted by f_s symbol.

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

FAQs on Factor of Safety given Unit Cohesion

What is the formula to find Factor of Safety given Unit Cohesion?

The formula of Factor of Safety given Unit Cohesion is expressed as 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). Here is an example- 2.799 = (10*1.866*1.5)/(8*1.25).

How to calculate Factor of Safety given Unit Cohesion?

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

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/Mobilized Shear Resistance of Soil
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

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Factor of Safety given Unit Cohesion Formula

​GoFactor of Safety given Moment of Resistance Formula

​GoFactor of Safety given Mobilized Shear resistance of Soil Formula

Factor of Safety given Unit Cohesion Example

Factor of Safety given Unit Cohesion Solution

Factor of Safety given Unit Cohesion 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 Unit Cohesion?

FAQs on Factor of Safety given Unit Cohesion

Variable Name

GoFactor of Safety given Moment of Resistance Formula

GoFactor of Safety given Mobilized Shear resistance of Soil Formula