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Unit Cohesion given Resisting Force from Coulomb's Equation Formula

GoUnit Cohesion given Factor of Safety Formula

GoUnit Cohesion given Mobilized Shear Resistance of Soil 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 = \frac{F r - (N \cdot \tan ((φ)))}{ΔL}

c_u - Unit Cohesion?F_r - Resisting Force?N - Normal Component of Force?φ - Angle of Internal Friction?ΔL - Curve Length?

Unit Cohesion given Resisting Force from Coulomb's Equation Example

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With units

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Here is how the Unit Cohesion given Resisting Force from Coulomb's Equation equation looks like with Values.

Here is how the Unit Cohesion given Resisting Force from Coulomb's Equation equation looks like with Units.

Here is how the Unit Cohesion given Resisting Force from Coulomb's Equation equation looks like.

10.0019 = \frac{35 - (4.99 \cdot \tan ((9.93)))}{3.412}

10.0019Pa = \frac{35N - (4.99N \cdot \tan ((9.93°)))}{3.412m}

10.0019 = \frac{35 - (4.99 \cdot \tan ((9.93)))}{3.412}

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Unit Cohesion given Resisting Force from Coulomb's Equation Solution

Follow our step by step solution on how to calculate Unit Cohesion given Resisting Force from Coulomb's Equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c u = \frac{35N - (4.99N \cdot \tan ((9.93°)))}{3.412m}

Next Step Convert Units

∴

c u = \frac{35N - (4.99N \cdot \tan ((0.1733rad)))}{3.412m}

Next Step Prepare to Evaluate

∴

c u = \frac{35 - (4.99 \cdot \tan ((0.1733)))}{3.412}

Next Step Evaluate

∴

c u = 10.0018795416518Pa

LAST Step Rounding Answer

∴

c u = 10.0019Pa

Unit Cohesion given Resisting Force from Coulomb's Equation Formula Elements

Variables

Functions

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

Resisting Force

Resisting Force is the force that counteracts the driving forces attempting to cause soil or structural failure.

Symbol: F_r

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Resisting Force

Normal Component of Force

Normal Component of Force is the perpendicular component of force.

Symbol: N

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Component of Force

Angle of Internal Friction

Angle of Internal Friction is the angle measured between the normal force and resultant force.

Symbol: φ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Internal Friction

Curve Length

Curve Length is the total extent of a curve, measured along its path, quantifying its spatial reach or boundary span.

Symbol: ΔL

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Curve Length

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 Unit Cohesion

Go Unit Cohesion given Factor of Safety

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

Go Unit Cohesion given Mobilized Shear Resistance of Soil

c u = f s \cdot c m

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 Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation evaluator uses Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length to evaluate the Unit Cohesion, Unit Cohesion given Resisting Force from Coulomb's Equation formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering resistance force. Unit Cohesion is denoted by c_u symbol.

How to evaluate Unit Cohesion given Resisting Force from Coulomb's Equation using this online evaluator? To use this online evaluator for Unit Cohesion given Resisting Force from Coulomb's Equation, enter Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Curve Length (ΔL) and hit the calculate button.

FAQs on Unit Cohesion given Resisting Force from Coulomb's Equation

What is the formula to find Unit Cohesion given Resisting Force from Coulomb's Equation?

The formula of Unit Cohesion given Resisting Force from Coulomb's Equation is expressed as Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length. Here is an example- 11.37547 = (35-(4.99*tan((0.173311194723004))))/3.412.

How to calculate Unit Cohesion given Resisting Force from Coulomb's Equation?

With Resisting Force (F_r), Normal Component of Force (N), Angle of Internal Friction (φ) & Curve Length (ΔL) we can find Unit Cohesion given Resisting Force from Coulomb's Equation using the formula - Unit Cohesion = (Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length. This formula also uses Tangent (tan) function(s).

What are the other ways to Calculate Unit Cohesion?

Here are the different ways to Calculate Unit Cohesion-

Unit Cohesion=Factor of Safety*(Weight of Body in Newtons*Distance between LOA and COR)/(Length of Slip Arc*Radial Distance)
Unit Cohesion=Factor of Safety*Mobilized Shear Resistance of Soil
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 Resisting Force from Coulomb's Equation be negative?

No, the Unit Cohesion given Resisting Force from Coulomb's Equation, measured in Pressure cannot be negative.

Which unit is used to measure Unit Cohesion given Resisting Force from Coulomb's Equation?

Unit Cohesion given Resisting Force from Coulomb's Equation 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 Resisting Force from Coulomb's Equation can be measured.

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Unit Cohesion given Resisting Force from Coulomb's Equation Formula

​GoUnit Cohesion given Factor of Safety Formula

​GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula

Unit Cohesion given Resisting Force from Coulomb's Equation Example

Unit Cohesion given Resisting Force from Coulomb's Equation Solution

Unit Cohesion given Resisting Force from Coulomb's Equation Formula Elements

Other Formulas to find Unit Cohesion

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Unit Cohesion given Resisting Force from Coulomb's Equation?

FAQs on Unit Cohesion given Resisting Force from Coulomb's Equation

Variable Name

GoUnit Cohesion given Factor of Safety Formula

GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula