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Cohesion given Submerged Unit Weight Formula

GoCohesion of Soil given Submerged Unit Weight Formula

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Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil. Check FAQs

C s = (f s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan ((i))})) \cdot (γ' \cdot z \cdot \cos ((i)) \cdot \sin ((i)))

C_s - Cohesion of Soil?f_s - Factor of Safety?φ - Angle of Internal Friction?i - Angle of Inclination to Horizontal in Soil?γ^' - Submerged Unit Weight?z - Depth of Prism?π - Archimedes' constant?

Cohesion given Submerged Unit Weight Example

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Here is how the Cohesion given Submerged Unit Weight equation looks like with Values.

Here is how the Cohesion given Submerged Unit Weight equation looks like with Units.

Here is how the Cohesion given Submerged Unit Weight equation looks like.

16.5408 = (2.8 - (\frac{\tan (\frac{46 \cdot 3.1416}{180})}{\tan ((64))})) \cdot (5.01 \cdot 3 \cdot \cos ((64)) \cdot \sin ((64)))

16.5408kPa = (2.8 - (\frac{\tan (\frac{46° \cdot 3.1416}{180})}{\tan ((64°))})) \cdot (5.01N/m³ \cdot 3m \cdot \cos ((64°)) \cdot \sin ((64°)))

16.5408 = (2.8 - (\frac{\tan (\frac{46 \cdot 3.1416}{180})}{\tan ((64))})) \cdot (5.01 \cdot 3 \cdot \cos ((64)) \cdot \sin ((64)))

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Cohesion given Submerged Unit Weight Solution

Follow our step by step solution on how to calculate Cohesion given Submerged Unit Weight?

FIRST Step Consider the formula

C s = (f s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan ((i))})) \cdot (γ' \cdot z \cdot \cos ((i)) \cdot \sin ((i)))

Next Step Substitute values of Variables

∴

C s = (2.8 - (\frac{\tan (\frac{46° \cdot π}{180})}{\tan ((64°))})) \cdot (5.01N/m³ \cdot 3m \cdot \cos ((64°)) \cdot \sin ((64°)))

Next Step Substitute values of Constants

∴

C s = (2.8 - (\frac{\tan (\frac{46° \cdot 3.1416}{180})}{\tan ((64°))})) \cdot (5.01N/m³ \cdot 3m \cdot \cos ((64°)) \cdot \sin ((64°)))

Next Step Convert Units

∴

C s = (2.8 - (\frac{\tan (\frac{0.8029rad \cdot 3.1416}{180})}{\tan ((1.117rad))})) \cdot (5.01N/m³ \cdot 3m \cdot \cos ((1.117rad)) \cdot \sin ((1.117rad)))

Next Step Prepare to Evaluate

∴

C s = (2.8 - (\frac{\tan (\frac{0.8029 \cdot 3.1416}{180})}{\tan ((1.117))})) \cdot (5.01 \cdot 3 \cdot \cos ((1.117)) \cdot \sin ((1.117)))

Next Step Evaluate

∴

C s = 16540.847553393Pa

Next Step Convert to Output's Unit

∴

C s = 16.540847553393kPa

LAST Step Rounding Answer

∴

C s = 16.5408kPa

Cohesion given Submerged Unit Weight Formula Elements

Variables

Constants

Functions

Cohesion of Soil

Cohesion of Soil is the ability of like particles within soil to hold onto each other. It is the shear strength or force that binds together like particles in the structure of a soil.

Symbol: C_s

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Factor of Safety

Factor of Safety 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

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

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

Submerged Unit Weight

Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.

Symbol: γ^'

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Submerged Unit Weight

Depth of Prism

Depth of Prism is the length of prism along z direction.

Symbol: z

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Prism

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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 to find Cohesion of Soil

Go Cohesion of Soil given Submerged Unit Weight

C s = \frac{h c}{\frac{{(\sec ((i)))}^{2}}{γ' \cdot (\tan ((i)) - \tan ((φ)))}}

Other formulas in Stability Analysis of Submerged Slopes category

Go Normal Stress Component given Submerged Unit Weight

σ Normal = γ' \cdot z \cdot {(\cos ((i)))}^{2}

Go Submerged Unit Weight given Normal Stress Component

γ' = \frac{σ Normal}{z \cdot {(\cos ((i)))}^{2}}

Go Depth of Prism given Submerged Unit Weight

z = \frac{σ Normal}{γ' \cdot {(\cos ((i)))}^{2}}

Go Shear Stress Component given Submerged Unit Weight

𝜏 = (γ' \cdot z \cdot \cos ((i)) \cdot \sin ((i)))

How to Evaluate Cohesion given Submerged Unit Weight?

Cohesion given Submerged Unit Weight evaluator uses Cohesion of Soil = (Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination to Horizontal in Soil))))*(Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))) to evaluate the Cohesion of Soil, The Cohesion given Submerged Unit Weight is defined as a material's internal attraction resisting separation; submerged unit weight is its weight per volume when submerged in fluid. Cohesion of Soil is denoted by C_s symbol.

How to evaluate Cohesion given Submerged Unit Weight using this online evaluator? To use this online evaluator for Cohesion given Submerged Unit Weight, enter Factor of Safety (f_s), Angle of Internal Friction (φ), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight (γ^') & Depth of Prism (z) and hit the calculate button.

FAQs on Cohesion given Submerged Unit Weight

What is the formula to find Cohesion given Submerged Unit Weight?

The formula of Cohesion given Submerged Unit Weight is expressed as Cohesion of Soil = (Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination to Horizontal in Soil))))*(Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). Here is an example- 0.016508 = (2.8-(tan((0.802851455917241*pi)/180)/tan((1.11701072127616))))*(5.01*3*cos((1.11701072127616))*sin((1.11701072127616))).

How to calculate Cohesion given Submerged Unit Weight?

With Factor of Safety (f_s), Angle of Internal Friction (φ), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight (γ^') & Depth of Prism (z) we can find Cohesion given Submerged Unit Weight using the formula - Cohesion of Soil = (Factor of Safety-(tan((Angle of Internal Friction*pi)/180)/tan((Angle of Inclination to Horizontal in Soil))))*(Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil))). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos), Tangent (tan) function(s).

What are the other ways to Calculate Cohesion of Soil?

Here are the different ways to Calculate Cohesion of Soil-

Cohesion of Soil=Critical Depth/(((sec((Angle of Inclination to Horizontal in Soil)))^2)/(Submerged Unit Weight*(tan((Angle of Inclination to Horizontal in Soil))-tan((Angle of Internal Friction)))))

Can the Cohesion given Submerged Unit Weight be negative?

No, the Cohesion given Submerged Unit Weight, measured in Pressure cannot be negative.

Which unit is used to measure Cohesion given Submerged Unit Weight?

Cohesion given Submerged Unit Weight 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 given Submerged Unit Weight can be measured.

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Cohesion given Submerged Unit Weight Formula

​GoCohesion of Soil given Submerged Unit Weight Formula

Cohesion given Submerged Unit Weight Example

Cohesion given Submerged Unit Weight Solution

Cohesion given Submerged Unit Weight Formula Elements

Other Formulas to find Cohesion of Soil

Other formulas in Stability Analysis of Submerged Slopes category

How to Evaluate Cohesion given Submerged Unit Weight?

FAQs on Cohesion given Submerged Unit Weight

Variable Name

GoCohesion of Soil given Submerged Unit Weight Formula