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Unit Cohesion given Factor of Safety Formula

GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula

GoUnit Cohesion given Resisting Force from Coulomb's Equation Formula

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Unit Cohesion is the shear strength property of a soil that is solely attributed to cohesive forces between soil particles. Check FAQs

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

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

Unit Cohesion given Factor of Safety Example

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With units

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

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

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

6.222 = 2.8 \cdot \frac{8 \cdot 1.25}{3.0001 \cdot 1.5}

6.222Pa = 2.8 \cdot \frac{8N \cdot 1.25m}{3.0001m \cdot 1.5m}

6.222 = 2.8 \cdot \frac{8 \cdot 1.25}{3.0001 \cdot 1.5}

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Unit Cohesion given Factor of Safety Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c u = 2.8 \cdot \frac{8N \cdot 1.25m}{3.0001m \cdot 1.5m}

Next Step Prepare to Evaluate

∴

c u = 2.8 \cdot \frac{8 \cdot 1.25}{3.0001 \cdot 1.5}

Next Step Evaluate

∴

c u = 6.22201482172816Pa

LAST Step Rounding Answer

∴

c u = 6.222Pa

Unit Cohesion given Factor of Safety Formula Elements

Variables

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

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

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

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

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

Other Formulas to find Unit Cohesion

Go Unit Cohesion given Mobilized Shear Resistance of Soil

c u = f s \cdot c m

Go Unit Cohesion given Resisting Force from Coulomb's Equation

c u = \frac{F r - (N \cdot \tan ((φ)))}{ΔL}

Go Unit Cohesion given Sum of Tangential Component

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

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 Unit Cohesion given Factor of Safety?

Unit Cohesion given Factor of Safety evaluator uses Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance) to evaluate the Unit Cohesion, The Unit Cohesion given Factor of Safety formula is defined as the measure of the shear strength of cohesive soils due to molecular attraction between particles. It's a critical parameter in stability analyses of slopes, foundations, and retaining walls, considering factor of safety. Unit Cohesion is denoted by c_u symbol.

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

FAQs on Unit Cohesion given Factor of Safety

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

The formula of Unit Cohesion given Factor of Safety is expressed as Unit Cohesion = Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance). Here is an example- 10.03584 = 2.8*(8*1.25)/(3.0001*1.5).

How to calculate Unit Cohesion given Factor of Safety?

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

What are the other ways to Calculate Unit Cohesion?

Here are the different ways to Calculate Unit Cohesion-

Unit Cohesion=Factor of Safety*Mobilized Shear Resistance of Soil
Unit Cohesion=(Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length
Unit Cohesion=((Factor of Safety*Sum of All Tangential Component in Soil Mechanics)-(Sum of all Normal Component*tan((Angle of Internal Friction*pi)/180)))/Length of Slip Arc

Can the Unit Cohesion given Factor of Safety be negative?

No, the Unit Cohesion given Factor of Safety, measured in Pressure cannot be negative.

Which unit is used to measure Unit Cohesion given Factor of Safety?

Unit Cohesion given Factor of Safety is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Unit Cohesion given Factor of Safety can be measured.

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Unit Cohesion given Factor of Safety Formula

​GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula

​GoUnit Cohesion given Resisting Force from Coulomb's Equation Formula

Unit Cohesion given Factor of Safety Example

Unit Cohesion given Factor of Safety Solution

Unit Cohesion given Factor of Safety Formula Elements

Other Formulas to find Unit Cohesion

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Unit Cohesion given Factor of Safety?

FAQs on Unit Cohesion given Factor of Safety

Variable Name

GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula

GoUnit Cohesion given Resisting Force from Coulomb's Equation Formula