Cohesion of Soil given Submerged Unit Weight Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))))
Cs = hc/(((sec((i)))^2)/(γ'*(tan((i))-tan((φ)))))
This formula uses 2 Functions, 5 Variables
Functions Used
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)
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., sec(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) - The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge.
Angle of Inclination to Horizontal in Soil - (Measured in Radian) - Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.
Submerged Unit Weight - (Measured in Newton per Cubic Meter) - Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course.
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
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion ​here)
Submerged Unit Weight: 5.01 Newton per Cubic Meter --> 5.01 Newton per Cubic Meter No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cs = hc/(((sec((i)))^2)/(γ'*(tan((i))-tan((φ))))) --> 1.01/(((sec((1.11701072127616)))^2)/(5.01*(tan((1.11701072127616))-tan((0.802851455917241)))))
Evaluating ... ...
Cs = 0.986761399016824
STEP 3: Convert Result to Output's Unit
986.761399016824 Pascal -->0.986761399016824 Kilopascal (Check conversion ​here)
FINAL ANSWER
0.986761399016824 0.986761 Kilopascal <-- Cohesion of Soil
(Calculation completed in 00.004 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 Submerged Slopes Calculators

Shear Stress Component given Submerged Unit Weight
​ LaTeX ​ Go Shear Stress for Submerged Slopes = (Submerged Unit Weight*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil))*sin((Angle of Inclination to Horizontal in Soil)))
Submerged Unit Weight given Normal Stress Component
​ LaTeX ​ Go Submerged Unit Weight = Normal Stress/(Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2)
Depth of Prism given Submerged Unit Weight
​ LaTeX ​ Go Depth of Prism = Normal Stress/(Submerged Unit Weight*(cos((Angle of Inclination to Horizontal in Soil)))^2)
Normal Stress Component given Submerged Unit Weight
​ LaTeX ​ Go Normal Stress = Submerged Unit Weight*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil)))^2

Cohesion of Soil given Submerged Unit Weight Formula

​LaTeX ​Go
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)))))
Cs = hc/(((sec((i)))^2)/(γ'*(tan((i))-tan((φ)))))

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.

How to Calculate Cohesion of Soil given Submerged Unit Weight?

Cohesion of Soil given Submerged Unit Weight calculator 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 calculate 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 Cs symbol.

How to calculate Cohesion of Soil given Submerged Unit Weight using this online calculator? To use this online calculator for Cohesion of Soil given Submerged Unit Weight, enter Critical Depth (hc), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight ') & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Cohesion of Soil given Submerged Unit Weight calculation can be explained with given input values -> 0.000985 = 1.01/(((sec((1.11701072127616)))^2)/(5.01*(tan((1.11701072127616))-tan((0.802851455917241))))).

FAQ

What is Cohesion of Soil given Submerged Unit Weight?
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 and is represented as Cs = hc/(((sec((i)))^2)/(γ'*(tan((i))-tan((φ))))) or 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))))). The Critical Depth is defined as the depth of flow where energy is at a minimum for a particular discharge, Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object, Submerged Unit Weight is the unit weight of weight of soil as observed underwater in a saturated condition of course & Angle of Internal Friction is the angle measured between the normal force and resultant force .
How to calculate Cohesion of Soil given Submerged Unit Weight?
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 is calculated using 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 calculate Cohesion of Soil given Submerged Unit Weight, you need Critical Depth (hc), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight ') & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Critical Depth, Angle of Inclination to Horizontal in Soil, Submerged Unit Weight & 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, Angle of Inclination to Horizontal in Soil, Submerged Unit Weight & Angle of Internal Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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)))
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