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Mobilized Cohesion given Angle of Mobilized Friction Formula

GoMobilized Cohesion given Cohesive Force along Slip Plane Formula

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Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress. Check FAQs

c m = (0.5 \cdot \cos e c (\frac{i \cdot π}{180}) \cdot \sec (\frac{φ mob \cdot π}{180}) \cdot \sin (\frac{(i - θ slope) \cdot π}{180}) \cdot \sin (\frac{(θ slope - φ mob) \cdot π}{180})) \cdot (γ \cdot H)

c_m - Mobilized Cohesion in Soil Mechanics?i - Angle of Inclination to Horizontal in Soil?φ_mob - Angle of Mobilized Friction in Soil Mechanics?θ_slope - Slope Angle in Soil Mechanics?γ - Unit Weight of Soil?H - Height from Toe of Wedge to Top of Wedge?π - Archimedes' constant?

Mobilized Cohesion given Angle of Mobilized Friction Example

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Here is how the Mobilized Cohesion given Angle of Mobilized Friction equation looks like with Values.

Here is how the Mobilized Cohesion given Angle of Mobilized Friction equation looks like with Units.

Here is how the Mobilized Cohesion given Angle of Mobilized Friction equation looks like.

0.2852 = (0.5 \cdot \cos e c (\frac{64 \cdot 3.1416}{180}) \cdot \sec (\frac{12.33 \cdot 3.1416}{180}) \cdot \sin (\frac{(64 - 36.89) \cdot 3.1416}{180}) \cdot \sin (\frac{(36.89 - 12.33) \cdot 3.1416}{180})) \cdot (18 \cdot 10)

0.2852kN/m² = (0.5 \cdot \cos e c (\frac{64° \cdot 3.1416}{180}) \cdot \sec (\frac{12.33° \cdot 3.1416}{180}) \cdot \sin (\frac{(64° - 36.89°) \cdot 3.1416}{180}) \cdot \sin (\frac{(36.89° - 12.33°) \cdot 3.1416}{180})) \cdot (18kN/m³ \cdot 10m)

0.2852 = (0.5 \cdot \cos e c (\frac{64 \cdot 3.1416}{180}) \cdot \sec (\frac{12.33 \cdot 3.1416}{180}) \cdot \sin (\frac{(64 - 36.89) \cdot 3.1416}{180}) \cdot \sin (\frac{(36.89 - 12.33) \cdot 3.1416}{180})) \cdot (18 \cdot 10)

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Mobilized Cohesion given Angle of Mobilized Friction Solution

Follow our step by step solution on how to calculate Mobilized Cohesion given Angle of Mobilized Friction?

FIRST Step Consider the formula

c m = (0.5 \cdot \cos e c (\frac{i \cdot π}{180}) \cdot \sec (\frac{φ mob \cdot π}{180}) \cdot \sin (\frac{(i - θ slope) \cdot π}{180}) \cdot \sin (\frac{(θ slope - φ mob) \cdot π}{180})) \cdot (γ \cdot H)

Next Step Substitute values of Variables

∴

c m = (0.5 \cdot \cos e c (\frac{64° \cdot π}{180}) \cdot \sec (\frac{12.33° \cdot π}{180}) \cdot \sin (\frac{(64° - 36.89°) \cdot π}{180}) \cdot \sin (\frac{(36.89° - 12.33°) \cdot π}{180})) \cdot (18kN/m³ \cdot 10m)

Next Step Substitute values of Constants

∴

c m = (0.5 \cdot \cos e c (\frac{64° \cdot 3.1416}{180}) \cdot \sec (\frac{12.33° \cdot 3.1416}{180}) \cdot \sin (\frac{(64° - 36.89°) \cdot 3.1416}{180}) \cdot \sin (\frac{(36.89° - 12.33°) \cdot 3.1416}{180})) \cdot (18kN/m³ \cdot 10m)

Next Step Convert Units

∴

c m = (0.5 \cdot \cos e c (\frac{1.117rad \cdot 3.1416}{180}) \cdot \sec (\frac{0.2152rad \cdot 3.1416}{180}) \cdot \sin (\frac{(1.117rad - 0.6439rad) \cdot 3.1416}{180}) \cdot \sin (\frac{(0.6439rad - 0.2152rad) \cdot 3.1416}{180})) \cdot (18000N/m³ \cdot 10m)

Next Step Prepare to Evaluate

∴

c m = (0.5 \cdot \cos e c (\frac{1.117 \cdot 3.1416}{180}) \cdot \sec (\frac{0.2152 \cdot 3.1416}{180}) \cdot \sin (\frac{(1.117 - 0.6439) \cdot 3.1416}{180}) \cdot \sin (\frac{(0.6439 - 0.2152) \cdot 3.1416}{180})) \cdot (18000 \cdot 10)

Next Step Evaluate

∴

c m = 285.231008470776Pa

Next Step Convert to Output's Unit

∴

c m = 0.285231008470776kN/m²

LAST Step Rounding Answer

∴

c m = 0.2852kN/m²

Mobilized Cohesion given Angle of Mobilized Friction Formula Elements

Variables

Constants

Functions

Mobilized Cohesion in Soil Mechanics

Mobilized Cohesion in Soil Mechanics is the amount of cohesion that is resisting the shear stress.

Symbol: c_m

Measurement: PressureUnit: kN/m²

Note: Value should be between 0 to 10.

Formulas to find Mobilized Cohesion in Soil Mechanics

Angle of Inclination to Horizontal in Soil

Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

Symbol: i

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Inclination to Horizontal in Soil

Angle of Mobilized Friction in Soil Mechanics

Angle of Mobilized Friction in Soil Mechanics is the slope angle at which an object starts sliding due to applied force.

Symbol: φ_mob

Measurement: AngleUnit: °

Note: Value should be between -180 to 180.

Formulas to find Angle of Mobilized Friction in Soil Mechanics

Slope Angle in Soil Mechanics

Slope Angle in Soil Mechanics is defined as the angle measured between a horizontal plane at a given point on the land surface.

Symbol: θ_slope

Measurement: AngleUnit: °

Note: Value should be between -45 to 180.

Formulas to find Slope Angle in Soil Mechanics

Unit Weight of Soil

Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.

Symbol: γ

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Soil

Height from Toe of Wedge to Top of Wedge

Height from Toe of Wedge to Top of Wedge of soil.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height from Toe of Wedge to Top of Wedge

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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

cosec

The cosecant function is a trigonometric function that is the reciprocal of the sine function.

Syntax: cosec(Angle)

Other Formulas to find Mobilized Cohesion in Soil Mechanics

Go Mobilized Cohesion given Cohesive Force along Slip Plane

c m = \frac{F c}{L}

Other formulas in Slope Stability Analysis using Culman's Method category

Go Height of Wedge of Soil given Weight of Wedge

h = \frac{W we}{\frac{L \cdot γ}{2}}

Go Cohesive Force along Slip Plane

F c = c m \cdot L

Go Height of Wedge of Soil given Angle of Inclination and Slope angle

h = \frac{H \cdot \sin (\frac{(θ i - θ) \cdot π}{180})}{\sin (\frac{θ i \cdot π}{180})}

Go Height from Toe of Wedge to Top of Wedge

H = \frac{h}{\frac{\sin (\frac{(θ i - θ) \cdot π}{180})}{\sin (\frac{θ i \cdot π}{180})}}

How to Evaluate Mobilized Cohesion given Angle of Mobilized Friction?

Mobilized Cohesion given Angle of Mobilized Friction evaluator uses Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge) to evaluate the Mobilized Cohesion in Soil Mechanics, The Mobilized Cohesion given Angle of Mobilized Friction is defined as the value of mobilized cohesion when we have prior information of other parameters used. Mobilized Cohesion in Soil Mechanics is denoted by c_m symbol.

How to evaluate Mobilized Cohesion given Angle of Mobilized Friction using this online evaluator? To use this online evaluator for Mobilized Cohesion given Angle of Mobilized Friction, enter Angle of Inclination to Horizontal in Soil (i), Angle of Mobilized Friction in Soil Mechanics (φ_mob), Slope Angle in Soil Mechanics (θ_slope), Unit Weight of Soil (γ) & Height from Toe of Wedge to Top of Wedge (H) and hit the calculate button.

FAQs on Mobilized Cohesion given Angle of Mobilized Friction

What is the formula to find Mobilized Cohesion given Angle of Mobilized Friction?

The formula of Mobilized Cohesion given Angle of Mobilized Friction is expressed as Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge). Here is an example- 0.000285 = (0.5*cosec((1.11701072127616*pi)/180)*sec((0.21519909677086*pi)/180)*sin(((1.11701072127616-0.643851961060587)*pi)/180)*sin(((0.643851961060587-0.21519909677086)*pi)/180))*(18000*10).

How to calculate Mobilized Cohesion given Angle of Mobilized Friction?

With Angle of Inclination to Horizontal in Soil (i), Angle of Mobilized Friction in Soil Mechanics (φ_mob), Slope Angle in Soil Mechanics (θ_slope), Unit Weight of Soil (γ) & Height from Toe of Wedge to Top of Wedge (H) we can find Mobilized Cohesion given Angle of Mobilized Friction using the formula - Mobilized Cohesion in Soil Mechanics = (0.5*cosec((Angle of Inclination to Horizontal in Soil*pi)/180)*sec((Angle of Mobilized Friction in Soil Mechanics*pi)/180)*sin(((Angle of Inclination to Horizontal in Soil-Slope Angle in Soil Mechanics)*pi)/180)*sin(((Slope Angle in Soil Mechanics-Angle of Mobilized Friction in Soil Mechanics)*pi)/180))*(Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge). This formula also uses Archimedes' constant and , Sine (sin), Secant (sec), Cosecant (cosec) function(s).

What are the other ways to Calculate Mobilized Cohesion in Soil Mechanics?

Here are the different ways to Calculate Mobilized Cohesion in Soil Mechanics-

Mobilized Cohesion in Soil Mechanics=Cohesive Force in KN/Length of Slip Plane

Can the Mobilized Cohesion given Angle of Mobilized Friction be negative?

No, the Mobilized Cohesion given Angle of Mobilized Friction, measured in Pressure cannot be negative.

Which unit is used to measure Mobilized Cohesion given Angle of Mobilized Friction?

Mobilized Cohesion given Angle of Mobilized Friction is usually measured using the Kilonewton per Square Meter[kN/m²] for Pressure. Pascal[kN/m²], Kilopascal[kN/m²], Bar[kN/m²] are the few other units in which Mobilized Cohesion given Angle of Mobilized Friction can be measured.

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Mobilized Cohesion given Angle of Mobilized Friction Formula

​GoMobilized Cohesion given Cohesive Force along Slip Plane Formula

Mobilized Cohesion given Angle of Mobilized Friction Example

Mobilized Cohesion given Angle of Mobilized Friction Solution

Mobilized Cohesion given Angle of Mobilized Friction Formula Elements

Other Formulas to find Mobilized Cohesion in Soil Mechanics

Other formulas in Slope Stability Analysis using Culman's Method category

How to Evaluate Mobilized Cohesion given Angle of Mobilized Friction?

FAQs on Mobilized Cohesion given Angle of Mobilized Friction

Variable Name

GoMobilized Cohesion given Cohesive Force along Slip Plane Formula