✖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.ⓘ Cohesion of Soil [c]			+10% -10%
✖Critical Depth is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero.ⓘ Critical Depth [h_c]			+10% -10%
✖Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination [I]			+10% -10%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force.ⓘ Angle of Internal Friction [φ]			+10% -10%

✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil given Critical Depth for Cohesive Soil [γ]

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Formula

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Unit Weight of Soil given Critical Depth for Cohesive Soil

Formula

`"γ" = "c"/("h"_{"c"}*(tan(("I"))-tan(("φ")))*(cos(("I")))^2)`

Example

`"17.99904kN/m³"="2.511kPa"/("1.01m"*(tan(("80°"))-tan(("47.48°")))*(cos(("80°")))^2)`

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Unit Weight of Soil given Critical Depth for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
γ = c/(h_c*(tan((I))-tan((φ)))*(cos((I)))^2)
This formula uses 2 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., tan(Angle)

Variables Used

Unit Weight of Soil - (Measured in Kilonewton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
Cohesion of Soil - (Measured in Kilopascal) - 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.
Critical Depth - (Measured in Meter) - Critical Depth is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero.
Angle of Inclination - (Measured in Radian) - Angle of Inclination is the angle measured from the horizontal surface of the wall or any object.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force.

STEP 1: Convert Input(s) to Base Unit

Cohesion of Soil: 2.511 Kilopascal --> 2.511 Kilopascal No Conversion Required
Critical Depth: 1.01 Meter --> 1.01 Meter No Conversion Required
Angle of Inclination: 80 Degree --> 1.3962634015952 Radian (Check conversion here)
Angle of Internal Friction: 47.48 Degree --> 0.828682328846752 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

γ = c/(h_c*(tan((I))-tan((φ)))*(cos((I)))^2) --> 2.511/(1.01*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2)

Evaluating ... ...

γ = 17.9990442188799

STEP 3: Convert Result to Output's Unit

17999.0442188799 Newton per Cubic Meter -->17.9990442188799 Kilonewton per Cubic Meter (Check conversion here)

FINAL ANSWER

17.9990442188799 ≈ 17.99904 Kilonewton per Cubic Meter <-- Unit Weight of Soil

(Calculation completed in 00.004 seconds)

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< 25 Stability Analysis of Infinite Slopes Calculators

Unit Weight of Soil given Critical Depth for Cohesive Soil

Go Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Critical Depth for Cohesive Soil

Go Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Critical Depth for Cohesive Soil

Go Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)

Cohesion given Shear Strength of Cohesive Soil

Go Cohesion of Soil = Shear Strength in KN per Cubic Meter-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction of Soil*pi)/180))

Cohesion of Soil given Factor of Safety for Cohesive Soil

Go Cohesion of Soil = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))

Shear Strength of Soil given Angle of Internal Friction

Go Shear Strength of Soil = (Shear Stress for Factor of Safety*(tan(Angle of Internal Friction of Soil)/tan(Angle of Inclination)))

Normal Stress given Factor of Safety for Cohesive Soil

Go Normal Stress = ((Shear Stress for Factor of Safety*Factor of Safety)-Unit Cohesion)/tan((Angle of Internal Friction of Soil))

Shear Stress of Soil given Angle of Internal Friction

Go Shear Stress given Angle of Internal Friction = Shear Strength/(tan((Angle of Internal Friction))/tan((Angle of Inclination)))

Shear Stress given Factor of Safety for Cohesive Soil

Go Shear Stress for Factor of Safety = (Unit Cohesion+(Normal Stress*tan((Angle of Internal Friction of Soil))))/Factor of Safety

Angle of Internal Friction given Shear Strength of Soil

Go Angle of Internal Friction of Soil = atan((Shear Strength/Shear Stress)*tan((Angle of Inclination)))

Normal Stress given Shear Strength of Cohesive Soil

Go Normal Stress in Mega Pascal = (Shear Strength-Cohesion of Soil)/tan((Angle of Internal Friction))

Shear Strength of Cohesive Soil

Go Shear Strength = Cohesion of Soil+(Normal Stress in Mega Pascal*tan((Angle of Internal Friction)))

Factor of Safety against Sliding

Go Factor of Safety = (tan((Angle of Internal Friction of Soil))/tan((Angle of Inclination)))

Unit Weight of Soil given Mobilized Cohesion

Go Unit Weight of Soil = (Mobilized Cohesion for Cohesive Soil/(Stability Number*Depth at Mobilized Cohesion))

Depth at Mobilized Cohesion

Go Depth at Mobilized Cohesion = (Mobilized Cohesion for Cohesive Soil/(Unit Weight of Soil*Stability Number))

Mobilized Cohesion given Stability Number for Cohesive Soil

Go Mobilized Cohesion for Cohesive Soil = (Stability Number*Unit Weight of Soil*Depth at Mobilized Cohesion)

Unit Weight of Soil given Stability Number for Cohesive Soil

Go Unit Weight of Soil = (Cohesion of Soil/(Stability Number*Critical Depth for Stability Number))

Critical Depth given Stability Number for Cohesive Soil

Go Critical Depth for Stability Number = (Cohesion of Soil/(Unit Weight of Soil*Stability Number))

Cohesion given Stability Number for Cohesive Soil

Go Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Normal Stress given Shear Stress of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Stress for Factor of Safety*cot((Angle of Inclination))

Normal Stress given Shear Strength of Cohesionless Soil

Go Normal Stress in Mega Pascal = Shear Strength/tan((Angle of Internal Friction))

Shear Strength of Cohesionless Soil

Go Shear Strength = Normal Stress in Mega Pascal*tan((Angle of Internal Friction))

Angle of Internal Friction given Shear Strength of Cohesionless Soil

Go Angle of Internal Friction = atan(Shear Strength/Normal Stress in Mega Pascal)

Cohesion of Soil given Mobilized Cohesion

Go Cohesion of Soil = Mobilized Cohesion*Factor of Safety with respect to Cohesion

Mobilized Cohesion

Go Mobilized Cohesion = Cohesion of Soil/Factor of Safety with respect to Cohesion

Unit Weight of Soil given Critical Depth for Cohesive Soil Formula

Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2)
γ = c/(h_c*(tan((I))-tan((φ)))*(cos((I)))^2)

What is Unit Weight of Soil?

The mass of solid particles is usually expressed in terms of their particle unit weight or specific gravity (Gs) of the soil grain solids . For most inorganic soils, the value of Gs lies between 2.60 and 2.80.

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

Unit Weight of Soil given Critical Depth for Cohesive Soil calculator 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 calculate 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 calculate Unit Weight of Soil given Critical Depth for Cohesive Soil using this online calculator? To use this online calculator 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. Here is how the Unit Weight of Soil given Critical Depth for Cohesive Soil calculation can be explained with given input values -> 0.021576 = 2511/(1.01*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2).

FAQ

What is Unit Weight of Soil given Critical Depth for Cohesive 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 and is represented as γ = c/(h_c*(tan((I))-tan((φ)))*(cos((I)))^2) or Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). 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, Critical Depth is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero, Angle of Inclination is the angle measured from the horizontal surface of the wall or any object & Angle of Internal Friction is the angle measured between the normal force and resultant force.

How to calculate Unit Weight of Soil given Critical Depth for Cohesive 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 is calculated using Unit Weight of Soil = Cohesion of Soil/(Critical Depth*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). To calculate Unit Weight of Soil given Critical Depth for Cohesive Soil, you need Cohesion of Soil (c), Critical Depth (h_c), Angle of Inclination (I) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Cohesion of Soil, Critical Depth, Angle of Inclination & Angle of Internal Friction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Unit Weight of Soil?

In this formula, Unit Weight of Soil uses Cohesion of Soil, Critical Depth, Angle of Inclination & Angle of Internal Friction. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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