Cohesion given Critical Depth for Cohesive Soil Calculator

✖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%
✖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%

✖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 given Critical Depth for Cohesive Soil [c]

⎘ Copy

👎

Formula

✖

Cohesion given Critical Depth for Cohesive Soil

Formula

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

Example

2.511133 kPa = (1.01 m \cdot 18 kN/m³ \cdot (\tan ((80 °)) - \tan ((47.48 °))) \cdot {(\cos ((80 °)))}^{2})

Calculator

LaTeX

Reset

👍

Download Stability Analysis of Infinite Slopes Formulas PDF PDF Image

Cohesion given Critical Depth for Cohesive Soil Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Critical Depth: 1.01 Meter --> 1.01 Meter No Conversion Required
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18 Kilonewton per Cubic 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

c = (h_c*γ*(tan((I))-tan((φ)))*(cos((I)))^2) --> (1.01*18*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2)

Evaluating ... ...

c = 2.51113333854639

STEP 3: Convert Result to Output's Unit

2511.13333854639 Pascal -->2.51113333854639 Kilopascal (Check conversion here)

FINAL ANSWER

2.51113333854639 ≈ 2.511133 Kilopascal <-- Cohesion of Soil

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Stability Analysis of Infinite Slopes » Cohesion given Critical Depth for Cohesive Soil

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Stability Analysis of Infinite Slopes Calculators

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 given Critical Depth for Cohesive Soil Formula

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

What is Cohesive Force?

The term "cohesive forces" is a generic term for the collective intermolecular forces (e.g., hydrogen bonding and van der Waals forces) responsible for the bulk property of liquids resisting separation. Specifically, these attractive forces exist between molecules of the same substance.

How to Calculate Cohesion given Critical Depth for Cohesive Soil?

Cohesion given Critical Depth for Cohesive Soil calculator uses Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2) to calculate the Cohesion of Soil, The Cohesion given Critical Depth for Cohesive Soil formula is defined as the internal molecular attraction in cohesive soil, essential for maintaining stability; critical depth marks its significance in engineering. Cohesion of Soil is denoted by c symbol.

How to calculate Cohesion given Critical Depth for Cohesive Soil using this online calculator? To use this online calculator for Cohesion given Critical Depth for Cohesive Soil, enter Critical Depth (h_c), Unit Weight of Soil (γ), Angle of Inclination (I) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Cohesion given Critical Depth for Cohesive Soil calculation can be explained with given input values -> 0.002511 = (1.01*18000*(tan((1.3962634015952))-tan((0.828682328846752)))*(cos((1.3962634015952)))^2).

FAQ

What is Cohesion given Critical Depth for Cohesive Soil?

The Cohesion given Critical Depth for Cohesive Soil formula is defined as the internal molecular attraction in cohesive soil, essential for maintaining stability; critical depth marks its significance in engineering and is represented as c = (h_c*γ*(tan((I))-tan((φ)))*(cos((I)))^2) or 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 is the depth within a soil profile where the net pressure or stress acting on the soil particles is zero, 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 Cohesion given Critical Depth for Cohesive Soil?

The Cohesion given Critical Depth for Cohesive Soil formula is defined as the internal molecular attraction in cohesive soil, essential for maintaining stability; critical depth marks its significance in engineering is calculated using Cohesion of Soil = (Critical Depth*Unit Weight of Soil*(tan((Angle of Inclination))-tan((Angle of Internal Friction)))*(cos((Angle of Inclination)))^2). To calculate Cohesion given Critical Depth for Cohesive Soil, you need Critical Depth (h_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 Critical Depth, 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.

How many ways are there to calculate Cohesion of Soil?

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

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 = (Shear Stress in Cohesive Soil*Factor of Safety)-(Normal Stress at a Point in Soil*tan((Angle of Internal Friction)))
Cohesion of Soil = Stability Number*(Unit Weight of Soil*Critical Depth for Stability Number)

Home

FREE PDFs

🔍 Search