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Cohesion of Soil given Angle of Inclination and Slope angle Formula

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Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation. Check FAQs

C eff = (F s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan (\frac{θ \cdot π}{180})})) \cdot ((\frac{1}{2}) \cdot γ \cdot H \cdot (\frac{\sin (\frac{(i - θ) \cdot π}{180})}{\sin (\frac{i \cdot π}{180})}) \cdot \sin (\frac{θ \cdot π}{180}))

C_eff - Effective Cohesion in Geotech as Kilopascal?F_s - Factor of Safety in Soil Mechanics?φ - Angle of Internal Friction?θ - Slope Angle?γ - Unit Weight of Soil?H - Height from Toe of Wedge to Top of Wedge?i - Angle of Inclination to Horizontal in Soil?π - Archimedes' constant?

Cohesion of Soil given Angle of Inclination and Slope angle Example

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Here is how the Cohesion of Soil given Angle of Inclination and Slope angle equation looks like with Values.

Here is how the Cohesion of Soil given Angle of Inclination and Slope angle equation looks like with Units.

Here is how the Cohesion of Soil given Angle of Inclination and Slope angle equation looks like.

0.4009 = (2.8 - (\frac{\tan (\frac{46 \cdot 3.1416}{180})}{\tan (\frac{25 \cdot 3.1416}{180})})) \cdot ((\frac{1}{2}) \cdot 18 \cdot 10 \cdot (\frac{\sin (\frac{(64 - 25) \cdot 3.1416}{180})}{\sin (\frac{64 \cdot 3.1416}{180})}) \cdot \sin (\frac{25 \cdot 3.1416}{180}))

0.4009kPa = (2.8 - (\frac{\tan (\frac{46° \cdot 3.1416}{180})}{\tan (\frac{25° \cdot 3.1416}{180})})) \cdot ((\frac{1}{2}) \cdot 18kN/m³ \cdot 10m \cdot (\frac{\sin (\frac{(64° - 25°) \cdot 3.1416}{180})}{\sin (\frac{64° \cdot 3.1416}{180})}) \cdot \sin (\frac{25° \cdot 3.1416}{180}))

0.4009 = (2.8 - (\frac{\tan (\frac{46 \cdot 3.1416}{180})}{\tan (\frac{25 \cdot 3.1416}{180})})) \cdot ((\frac{1}{2}) \cdot 18 \cdot 10 \cdot (\frac{\sin (\frac{(64 - 25) \cdot 3.1416}{180})}{\sin (\frac{64 \cdot 3.1416}{180})}) \cdot \sin (\frac{25 \cdot 3.1416}{180}))

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Cohesion of Soil given Angle of Inclination and Slope angle Solution

Follow our step by step solution on how to calculate Cohesion of Soil given Angle of Inclination and Slope angle?

FIRST Step Consider the formula

C eff = (F s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan (\frac{θ \cdot π}{180})})) \cdot ((\frac{1}{2}) \cdot γ \cdot H \cdot (\frac{\sin (\frac{(i - θ) \cdot π}{180})}{\sin (\frac{i \cdot π}{180})}) \cdot \sin (\frac{θ \cdot π}{180}))

Next Step Substitute values of Variables

∴

C eff = (2.8 - (\frac{\tan (\frac{46° \cdot π}{180})}{\tan (\frac{25° \cdot π}{180})})) \cdot ((\frac{1}{2}) \cdot 18kN/m³ \cdot 10m \cdot (\frac{\sin (\frac{(64° - 25°) \cdot π}{180})}{\sin (\frac{64° \cdot π}{180})}) \cdot \sin (\frac{25° \cdot π}{180}))

Next Step Substitute values of Constants

∴

C eff = (2.8 - (\frac{\tan (\frac{46° \cdot 3.1416}{180})}{\tan (\frac{25° \cdot 3.1416}{180})})) \cdot ((\frac{1}{2}) \cdot 18kN/m³ \cdot 10m \cdot (\frac{\sin (\frac{(64° - 25°) \cdot 3.1416}{180})}{\sin (\frac{64° \cdot 3.1416}{180})}) \cdot \sin (\frac{25° \cdot 3.1416}{180}))

Next Step Convert Units

∴

C eff = (2.8 - (\frac{\tan (\frac{0.8029rad \cdot 3.1416}{180})}{\tan (\frac{0.4363rad \cdot 3.1416}{180})})) \cdot ((\frac{1}{2}) \cdot 18000N/m³ \cdot 10m \cdot (\frac{\sin (\frac{(1.117rad - 0.4363rad) \cdot 3.1416}{180})}{\sin (\frac{1.117rad \cdot 3.1416}{180})}) \cdot \sin (\frac{0.4363rad \cdot 3.1416}{180}))

Next Step Prepare to Evaluate

∴

C eff = (2.8 - (\frac{\tan (\frac{0.8029 \cdot 3.1416}{180})}{\tan (\frac{0.4363 \cdot 3.1416}{180})})) \cdot ((\frac{1}{2}) \cdot 18000 \cdot 10 \cdot (\frac{\sin (\frac{(1.117 - 0.4363) \cdot 3.1416}{180})}{\sin (\frac{1.117 \cdot 3.1416}{180})}) \cdot \sin (\frac{0.4363 \cdot 3.1416}{180}))

Next Step Evaluate

∴

C eff = 400.929325949969Pa

Next Step Convert to Output's Unit

∴

C eff = 0.400929325949969kPa

LAST Step Rounding Answer

∴

C eff = 0.4009kPa

Cohesion of Soil given Angle of Inclination and Slope angle Formula Elements

Variables

Constants

Functions

Effective Cohesion in Geotech as Kilopascal

Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.

Symbol: C_eff

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Effective Cohesion in Geotech as Kilopascal

Factor of Safety in Soil Mechanics

Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.

Symbol: F_s

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Factor of Safety in Soil Mechanics

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

Slope Angle

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

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Slope Angle

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

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

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)

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 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

How to Evaluate Cohesion of Soil given Angle of Inclination and Slope angle?

Cohesion of Soil given Angle of Inclination and Slope angle evaluator uses Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180)) to evaluate the Effective Cohesion in Geotech as Kilopascal, Cohesion of Soil given Angle of Inclination and Slope angle is defined as the value of cohesion when we have prior information of other parameters used. Effective Cohesion in Geotech as Kilopascal is denoted by C_eff symbol.

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

FAQs on Cohesion of Soil given Angle of Inclination and Slope angle

What is the formula to find Cohesion of Soil given Angle of Inclination and Slope angle?

The formula of Cohesion of Soil given Angle of Inclination and Slope angle is expressed as Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180)). Here is an example- 0.000401 = (2.8-(tan((0.802851455917241*pi)/180)/tan((0.4363323129985*pi)/180)))*((1/2)*18000*10*(sin(((1.11701072127616-0.4363323129985)*pi)/180)/sin((1.11701072127616*pi)/180))*sin((0.4363323129985*pi)/180)).

How to calculate Cohesion of Soil given Angle of Inclination and Slope angle?

With Factor of Safety in Soil Mechanics (F_s), Angle of Internal Friction (φ), Slope Angle (θ), Unit Weight of Soil (γ), Height from Toe of Wedge to Top of Wedge (H) & Angle of Inclination to Horizontal in Soil (i) we can find Cohesion of Soil given Angle of Inclination and Slope angle using the formula - Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180)). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) function(s).

Can the Cohesion of Soil given Angle of Inclination and Slope angle be negative?

No, the Cohesion of Soil given Angle of Inclination and Slope angle, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion of Soil given Angle of Inclination and Slope angle?

Cohesion of Soil given Angle of Inclination and Slope angle is usually measured using the Kilopascal[kPa] for Pressure. Pascal[kPa], Bar[kPa], Pound Per Square Inch[kPa] are the few other units in which Cohesion of Soil given Angle of Inclination and Slope angle can be measured.

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Cohesion of Soil given Angle of Inclination and Slope angle Formula

Cohesion of Soil given Angle of Inclination and Slope angle Example

Cohesion of Soil given Angle of Inclination and Slope angle Solution

Cohesion of Soil given Angle of Inclination and Slope angle Formula Elements

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

How to Evaluate Cohesion of Soil given Angle of Inclination and Slope angle?

FAQs on Cohesion of Soil given Angle of Inclination and Slope angle

Variable Name