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Unit Weight of Soil given Critical Depth for Cohesive Soil Formula

GoUnit Weight of Soil given Stability Number for Cohesive Soil Formula

GoUnit Weight of Soil given Mobilized Cohesion Formula

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

γ = \frac{c}{h c \cdot (\tan ((I)) - \tan ((φ))) \cdot {(\cos ((I)))}^{2}}

γ - Unit Weight of Soil?c - Cohesion of Soil?h_c - Critical Depth?I - Angle of Inclination?φ - Angle of Internal Friction?

Unit Weight of Soil given Critical Depth for Cohesive Soil Example

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Here is how the Unit Weight of Soil given Critical Depth for Cohesive Soil equation looks like with Values.

Here is how the Unit Weight of Soil given Critical Depth for Cohesive Soil equation looks like with Units.

Here is how the Unit Weight of Soil given Critical Depth for Cohesive Soil equation looks like.

17.999 = \frac{2.511}{1.01 \cdot (\tan ((80)) - \tan ((47.48))) \cdot {(\cos ((80)))}^{2}}

17.999kN/m³ = \frac{2.511kPa}{1.01m \cdot (\tan ((80°)) - \tan ((47.48°))) \cdot {(\cos ((80°)))}^{2}}

17.999 = \frac{2.511}{1.01 \cdot (\tan ((80)) - \tan ((47.48))) \cdot {(\cos ((80)))}^{2}}

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Unit Weight of Soil given Critical Depth for Cohesive Soil Solution

Follow our step by step solution on how to calculate Unit Weight of Soil given Critical Depth for Cohesive Soil?

FIRST Step Consider the formula

γ = \frac{c}{h c \cdot (\tan ((I)) - \tan ((φ))) \cdot {(\cos ((I)))}^{2}}

Next Step Substitute values of Variables

∴

γ = \frac{2.511kPa}{1.01m \cdot (\tan ((80°)) - \tan ((47.48°))) \cdot {(\cos ((80°)))}^{2}}

Next Step Convert Units

∴

γ = \frac{2.511kPa}{1.01m \cdot (\tan ((1.3963rad)) - \tan ((0.8287rad))) \cdot {(\cos ((1.3963rad)))}^{2}}

Next Step Prepare to Evaluate

∴

γ = \frac{2.511}{1.01 \cdot (\tan ((1.3963)) - \tan ((0.8287))) \cdot {(\cos ((1.3963)))}^{2}}

Next Step Evaluate

∴

γ = 17999.0442188799N/m³

Next Step Convert to Output's Unit

∴

γ = 17.9990442188799kN/m³

LAST Step Rounding Answer

∴

γ = 17.999kN/m³

Unit Weight of Soil given Critical Depth for Cohesive Soil Formula Elements

Variables

Functions

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

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

Measurement: PressureUnit: kPa

Note: Value should be greater than 0.

Formulas to find Cohesion of Soil

Critical Depth

Critical Depth is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth

Angle of Inclination

Angle of Inclination is 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

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

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 Unit Weight of Soil

Go Unit Weight of Soil given Stability Number for Cohesive Soil

γ = (\frac{c}{S n \cdot h cs})

Go Unit Weight of Soil given Mobilized Cohesion

γ = (\frac{C c}{S n \cdot H})

Go Unit Weight of Soil given Factor of Safety

γ = (\frac{c}{S n \cdot H Mobilised \cdot F c})

Other formulas in Stability Analysis of Infinite Slopes category

Go Shear Strength of Cohesionless Soil

τ s = σ nm \cdot \tan ((φ))

Go Normal Stress given Shear Strength of Cohesionless Soil

σ nm = \frac{τ s}{\tan ((φ))}

Go Angle of Internal Friction given Shear Strength of Cohesionless Soil

φ = a \tan (\frac{τ s}{σ nm})

Go Normal Stress given Shear Stress of Cohesionless Soil

σ nm = 𝜏 Shearstress \cdot \cot ((I))

How to Evaluate Unit Weight of Soil given Critical Depth for Cohesive Soil?

Unit Weight of Soil given Critical Depth for Cohesive Soil evaluator uses Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2) to evaluate the Unit Weight of Soil, The Unit Weight of Soil given Critical Depth for Cohesive Soil formula is defined as the value of the specific weight of the soil when considering the depth at which the soil has reached its critical state of stability. Unit Weight of Soil is denoted by γ symbol.

How to evaluate Unit Weight of Soil given Critical Depth for Cohesive Soil using this online evaluator? To use this online evaluator for Unit Weight of Soil given Critical Depth for Cohesive Soil, enter Cohesion of Soil (c), Critical Depth (h_c), Angle of Inclination (I) & Angle of Internal Friction (φ) and hit the calculate button.

FAQs on Unit Weight of Soil given Critical Depth for Cohesive Soil

What is the formula to find Unit Weight of Soil given Critical Depth for Cohesive Soil?

The formula of Unit Weight of Soil given Critical Depth for Cohesive Soil is expressed as Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). Here is an example- 0.021576 = 2511/(1.01*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2).

How to calculate Unit Weight of Soil given Critical Depth for Cohesive Soil?

With Cohesion of Soil (c), Critical Depth (h_c), Angle of Inclination (I) & Angle of Internal Friction (φ) we can find Unit Weight of Soil given Critical Depth for Cohesive Soil using the formula - Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). This formula also uses Cosine, Tangent function(s).

What are the other ways to Calculate Unit Weight of Soil?

Here are the different ways to Calculate Unit Weight of Soil-

Unit Weight of Soil=(Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))
Unit Weight of Soil=(Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))
Unit Weight of Soil=(Cohesion of Soil/(Stability Number*Depth at Mobilized Cohesion in Stability Number*Factor of Safety with respect to Cohesion))

Can the Unit Weight of Soil given Critical Depth for Cohesive Soil be negative?

No, the Unit Weight of Soil given Critical Depth for Cohesive Soil, measured in Specific Weight cannot be negative.

Which unit is used to measure Unit Weight of Soil given Critical Depth for Cohesive Soil?

Unit Weight of Soil given Critical Depth for Cohesive Soil is usually measured using the Kilonewton per Cubic Meter[kN/m³] for Specific Weight. Newton per Cubic Meter[kN/m³], Newton per Cubic Centimeter[kN/m³], Newton per Cubic Millimeter[kN/m³] are the few other units in which Unit Weight of Soil given Critical Depth for Cohesive Soil can be measured.

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Unit Weight of Soil given Critical Depth for Cohesive Soil Formula

​GoUnit Weight of Soil given Stability Number for Cohesive Soil Formula

​GoUnit Weight of Soil given Mobilized Cohesion Formula

Unit Weight of Soil given Critical Depth for Cohesive Soil Example

Unit Weight of Soil given Critical Depth for Cohesive Soil Solution

Unit Weight of Soil given Critical Depth for Cohesive Soil Formula Elements

Other Formulas to find Unit Weight of Soil

Other formulas in Stability Analysis of Infinite Slopes category

How to Evaluate Unit Weight of Soil given Critical Depth for Cohesive Soil?

FAQs on Unit Weight of Soil given Critical Depth for Cohesive Soil

Variable Name

GoUnit Weight of Soil given Stability Number for Cohesive Soil Formula

GoUnit Weight of Soil given Mobilized Cohesion Formula