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Unit Cohesion given Sum of Tangential Component 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 s \cdot F t) - (ΣN \cdot \tan (\frac{φ \cdot π}{180}))}{L'}

c_u - Unit Cohesion?f_s - Factor of Safety?F_t - Sum of All Tangential Component in Soil Mechanics?ΣN - Sum of all Normal Component?φ - Angle of Internal Friction?L^' - Length of Slip Arc?π - Archimedes' constant?

Unit Cohesion given Sum of Tangential Component Example

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Here is how the Unit Cohesion given Sum of Tangential Component equation looks like with Values.

Here is how the Unit Cohesion given Sum of Tangential Component equation looks like with Units.

Here is how the Unit Cohesion given Sum of Tangential Component equation looks like.

10.2613 = \frac{(2.8 \cdot 11) - (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{3.0001}

10.2613Pa = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{3.0001m}

10.2613 = \frac{(2.8 \cdot 11) - (5.01 \cdot \tan (\frac{9.93 \cdot 3.1416}{180}))}{3.0001}

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Unit Cohesion given Sum of Tangential Component Solution

Follow our step by step solution on how to calculate Unit Cohesion given Sum of Tangential Component?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

c u = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{9.93° \cdot π}{180}))}{3.0001m}

Next Step Substitute values of Constants

∴

c u = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{9.93° \cdot 3.1416}{180}))}{3.0001m}

Next Step Convert Units

∴

c u = \frac{(2.8 \cdot 11N) - (5.01N \cdot \tan (\frac{0.1733rad \cdot 3.1416}{180}))}{3.0001m}

Next Step Prepare to Evaluate

∴

c u = \frac{(2.8 \cdot 11) - (5.01 \cdot \tan (\frac{0.1733 \cdot 3.1416}{180}))}{3.0001}

Next Step Evaluate

∴

c u = 10.261273107689Pa

LAST Step Rounding Answer

∴

c u = 10.2613Pa

Unit Cohesion given Sum of Tangential Component Formula Elements

Variables

Constants

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

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

Sum of All Tangential Component in Soil Mechanics

Sum of All Tangential Component in Soil Mechanics means total tangential component.

Symbol: F_t

Measurement: ForceUnit: N

Note: Value should be between 0 to 180.

Formulas to find Sum of All Tangential Component in Soil Mechanics

Sum of all Normal Component

Sum of all Normal Component means total normal force on slip circle.

Symbol: ΣN

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Sum of all Normal Component

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

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

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 Resisting Force from Coulomb's Equation

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

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 Sum of Tangential Component?

Unit Cohesion given Sum of Tangential Component evaluator uses 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 to evaluate the Unit Cohesion, The Unit Cohesion given Sum of Tangential Component formula is defined as the shear strength of cohesive soils due to molecular attraction between particles, considering sum of tangential component. Unit Cohesion is denoted by c_u symbol.

How to evaluate Unit Cohesion given Sum of Tangential Component using this online evaluator? To use this online evaluator for Unit Cohesion given Sum of Tangential Component, enter Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Length of Slip Arc (L^') and hit the calculate button.

FAQs on Unit Cohesion given Sum of Tangential Component

What is the formula to find Unit Cohesion given Sum of Tangential Component?

The formula of Unit Cohesion given Sum of Tangential Component is expressed as 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. Here is an example- 10.26127 = ((2.8*11)-(5.01*tan((0.173311194723004*pi)/180)))/3.0001.

How to calculate Unit Cohesion given Sum of Tangential Component?

With Factor of Safety (f_s), Sum of All Tangential Component in Soil Mechanics (F_t), Sum of all Normal Component (ΣN), Angle of Internal Friction (φ) & Length of Slip Arc (L^') we can find Unit Cohesion given Sum of Tangential Component using the formula - 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. This formula also uses Archimedes' constant and 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=(Resisting Force-(Normal Component of Force*tan((Angle of Internal Friction))))/Curve Length

Can the Unit Cohesion given Sum of Tangential Component be negative?

No, the Unit Cohesion given Sum of Tangential Component, measured in Pressure cannot be negative.

Which unit is used to measure Unit Cohesion given Sum of Tangential Component?

Unit Cohesion given Sum of Tangential Component 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 Sum of Tangential Component can be measured.

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Unit Cohesion given Sum of Tangential Component Formula

​GoUnit Cohesion given Factor of Safety Formula

​GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula

Unit Cohesion given Sum of Tangential Component Example

Unit Cohesion given Sum of Tangential Component Solution

Unit Cohesion given Sum of Tangential Component Formula Elements

Other Formulas to find Unit Cohesion

Other formulas in The Swedish Slip Circle Method category

How to Evaluate Unit Cohesion given Sum of Tangential Component?

FAQs on Unit Cohesion given Sum of Tangential Component

Variable Name

GoUnit Cohesion given Factor of Safety Formula

GoUnit Cohesion given Mobilized Shear Resistance of Soil Formula