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Cohesion of Soil given Submerged Unit Weight Formula

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

C_s - Cohesion of Soil?h_c - Critical Depth?i - Angle of Inclination to Horizontal in Soil?γ^' - Submerged Unit Weight?φ - Angle of Internal Friction?

Cohesion of Soil given Submerged Unit Weight Example

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

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

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

0.9868 = \frac{1.01}{\frac{{(\sec ((64)))}^{2}}{5.01 \cdot (\tan ((64)) - \tan ((46)))}}

0.9868kPa = \frac{1.01m}{\frac{{(\sec ((64°)))}^{2}}{5.01N/m³ \cdot (\tan ((64°)) - \tan ((46°)))}}

0.9868 = \frac{1.01}{\frac{{(\sec ((64)))}^{2}}{5.01 \cdot (\tan ((64)) - \tan ((46)))}}

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Cohesion of Soil given Submerged Unit Weight Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C s = \frac{1.01m}{\frac{{(\sec ((64°)))}^{2}}{5.01N/m³ \cdot (\tan ((64°)) - \tan ((46°)))}}

Next Step Convert Units

∴

C s = \frac{1.01m}{\frac{{(\sec ((1.117rad)))}^{2}}{5.01N/m³ \cdot (\tan ((1.117rad)) - \tan ((0.8029rad)))}}

Next Step Prepare to Evaluate

∴

C s = \frac{1.01}{\frac{{(\sec ((1.117)))}^{2}}{5.01 \cdot (\tan ((1.117)) - \tan ((0.8029)))}}

Next Step Evaluate

∴

C s = 986.761399016824Pa

Next Step Convert to Output's Unit

∴

C s = 0.986761399016824kPa

LAST Step Rounding Answer

∴

C s = 0.9868kPa

Cohesion of Soil given Submerged Unit Weight Formula Elements

Variables

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

Critical Depth

The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth

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

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

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)

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)

Other Formulas to find Cohesion of Soil

Go Cohesion given Submerged Unit Weight

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

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 of Soil given Submerged Unit Weight?

Cohesion of Soil given Submerged Unit Weight evaluator uses 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))))) to evaluate the Cohesion of Soil, The Cohesion of Soil given Submerged Unit Weight is defined as the internal molecular attraction resisting shear, influencing stability, given a specific submerged unit weight condition. Cohesion of Soil is denoted by C_s symbol.

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

FAQs on Cohesion of Soil given Submerged Unit Weight

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

The formula of Cohesion of Soil given Submerged Unit Weight is expressed as 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))))). Here is an example- 0.000985 = 1.01/(((sec((1.11701072127616)))^2)/(5.01*(tan((1.11701072127616))-tan((0.802851455917241))))).

How to calculate Cohesion of Soil given Submerged Unit Weight?

With Critical Depth (h_c), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight (γ^') & Angle of Internal Friction (φ) we can find Cohesion of Soil given Submerged Unit Weight using the formula - 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))))). This formula also uses Tangent (tan), Secant (sec) 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=(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)))

Can the Cohesion of Soil given Submerged Unit Weight be negative?

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

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

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

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Cohesion of Soil given Submerged Unit Weight Formula

​GoCohesion given Submerged Unit Weight Formula

Cohesion of Soil given Submerged Unit Weight Example

Cohesion of Soil given Submerged Unit Weight Solution

Cohesion of Soil 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 of Soil given Submerged Unit Weight?

FAQs on Cohesion of Soil given Submerged Unit Weight

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GoCohesion given Submerged Unit Weight Formula