Critical Depth for Cohesive Soil Calculator

✖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%
✖Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.ⓘ Unit Weight of Soil [γ]			+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%

✖Critical Depth is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero.ⓘ Critical Depth for Cohesive Soil [h_c]

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Critical Depth for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Cohesion of Soil - (Measured in Pascal) - 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.
Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil.
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 --> 2511 Pascal (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
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

h_c = c/(γ*(tan((I))-tan((φ)))*(cos((I)))^2) --> 2511/(18000*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2)

Evaluating ... ...

h_c = 1.00994637005937

STEP 3: Convert Result to Output's Unit

1.00994637005937 Meter --> No Conversion Required

FINAL ANSWER

1.00994637005937 ≈ 1.009946 Meter <-- Critical Depth

(Calculation completed in 00.020 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Stability Analysis of Infinite Slopes Calculators

Normal Stress given Shear Stress of Cohesionless Soil

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

Normal Stress given Shear Strength of Cohesionless Soil

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

Shear Strength of Cohesionless Soil

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

Angle of Internal Friction given Shear Strength of Cohesionless Soil

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

Critical Depth for Cohesive Soil Formula

LaTeX Go

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

What is Critical Depth?

When the specific energy is minimum for a given discharge flow will be critical flow and depth of flow will be called as critical depth of flow (y) and velocity of flow will be called as critical velocity.

How to Calculate Critical Depth for Cohesive Soil?

Critical Depth for Cohesive Soil calculator uses Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2) to calculate the Critical Depth, The Critical Depth for Cohesive Soil formula is defined as the measure of the value of depth at which soil strength equals applied stress, leading to slope instability or failure. Critical Depth is denoted by h_c symbol.

How to calculate Critical Depth for Cohesive Soil using this online calculator? To use this online calculator for Critical Depth for Cohesive Soil, enter Cohesion of Soil (c), Unit Weight of Soil (γ), Angle of Inclination (I) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Critical Depth for Cohesive Soil calculation can be explained with given input values -> 1.210649 = 2511/(18000*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2).

FAQ

What is Critical Depth for Cohesive Soil?

The Critical Depth for Cohesive Soil formula is defined as the measure of the value of depth at which soil strength equals applied stress, leading to slope instability or failure and is represented as h_c = c/(γ*(tan((I))-tan((φ)))*(cos((I)))^2) or Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(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, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, 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 Critical Depth for Cohesive Soil?

The Critical Depth for Cohesive Soil formula is defined as the measure of the value of depth at which soil strength equals applied stress, leading to slope instability or failure is calculated using Critical Depth = Cohesion of Soil/(Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). To calculate Critical Depth for Cohesive Soil, you need Cohesion of Soil (c), Unit Weight of Soil (γ), Angle of Inclination (I) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Cohesion of Soil, Unit Weight of Soil, 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.

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