Cohesion of Soil given Saturated Unit Weight Calculator

✖Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety in Soil Mechanics [F_s]			+10% -10%
✖Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.ⓘ Saturated Unit Weight of Soil [γ_saturated]			+10% -10%
✖Depth of Prism is the length of prism along z direction.ⓘ Depth of Prism [z]			+10% -10%
✖Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.ⓘ Angle of Inclination to Horizontal in Soil [i]			+10% -10%
✖Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water in a saturated condition of course.ⓘ Submerged Unit Weight in KN per Cubic Meter [y_S]			+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 in Soil as Kilopascal 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 given Saturated Unit Weight [C]

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Cohesion of Soil given Saturated Unit Weight Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cohesion in Soil as Kilopascal = (Factor of Safety in Soil Mechanics*Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))-(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)
C = (F_s*γ_saturated*z*cos((i*pi)/180)*sin((i*pi)/180))-(y_S*z*tan((φ*pi)/180)*(cos((i*pi)/180))^2)
This formula uses 1 Constants, 3 Functions, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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 in Soil as Kilopascal - (Measured in Pascal) - Cohesion in Soil as Kilopascal 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.
Factor of Safety in Soil Mechanics - Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load.
Saturated Unit Weight of Soil - (Measured in Newton per Cubic Meter) - Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume.
Depth of Prism - (Measured in Meter) - Depth of Prism is the length of prism along z direction.
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 in KN per Cubic Meter - (Measured in Newton per Cubic Meter) - Submerged Unit Weight in KN per Cubic Meter is the unit weight of a weight of soil as observed under water 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

Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required
Saturated Unit Weight of Soil: 11.89 Kilonewton per Cubic Meter --> 11890 Newton per Cubic Meter (Check conversion here)
Depth of Prism: 3 Meter --> 3 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)
Submerged Unit Weight in KN per Cubic Meter: 5 Kilonewton per Cubic Meter --> 5000 Newton per Cubic Meter (Check conversion here)
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (F_s*γ_saturated*z*cos((i*pi)/180)*sin((i*pi)/180))-(y_S*z*tan((φ*pi)/180)*(cos((i*pi)/180))^2) --> (2.8*11890*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180))-(5000*3*tan((0.802851455917241*pi)/180)*(cos((1.11701072127616*pi)/180))^2)

Evaluating ... ...

C = 1736.5208132043

STEP 3: Convert Result to Output's Unit

1736.5208132043 Pascal -->1.7365208132043 Kilopascal (Check conversion here)

FINAL ANSWER

1.7365208132043 ≈ 1.736521 Kilopascal <-- Cohesion in Soil as Kilopascal

(Calculation completed in 00.020 seconds)

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< Steady State Seepage Analysis Along The Slopes Calculators

Inclined Length of Prism given Saturated Unit Weight

LaTeX Go Inclined Length of Prism = Weight of Prism in Soil Mechanics/(Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Weight of Soil Prism given Saturated Unit Weight

LaTeX Go Weight of Prism in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*Inclined Length of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Vertical Stress on Prism given Saturated Unit Weight

LaTeX Go Vertical Stress at a Point in Kilopascal = (Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180))

Normal Stress Component given Saturated Unit Weight

LaTeX Go Normal Stress in Soil Mechanics = (Saturated Unit Weight of Soil*Depth of Prism*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)

Cohesion of Soil given Saturated Unit Weight Formula

LaTeX Go

What is Cohesive Soil?

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 Saturated Unit Weight?

Cohesion of Soil given Saturated Unit Weight calculator uses Cohesion in Soil as Kilopascal = (Factor of Safety in Soil Mechanics*Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))-(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2) to calculate the Cohesion in Soil as Kilopascal, The Cohesion of Soil given Saturated Unit Weight is defined as the value of cohesion of soil when we have prior information of other parameters used. Cohesion in Soil as Kilopascal is denoted by C symbol.

How to calculate Cohesion of Soil given Saturated Unit Weight using this online calculator? To use this online calculator for Cohesion of Soil given Saturated Unit Weight, enter Factor of Safety in Soil Mechanics (F_s), Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight in KN per Cubic Meter (y_S) & Angle of Internal Friction (φ) and hit the calculate button. Here is how the Cohesion of Soil given Saturated Unit Weight calculation can be explained with given input values -> 0.001737 = (2.8*11890*3*cos((1.11701072127616*pi)/180)*sin((1.11701072127616*pi)/180))-(5000*3*tan((0.802851455917241*pi)/180)*(cos((1.11701072127616*pi)/180))^2).

FAQ

What is Cohesion of Soil given Saturated Unit Weight?

The Cohesion of Soil given Saturated Unit Weight is defined as the value of cohesion of soil when we have prior information of other parameters used and is represented as C = (F_s*γ_saturated*z*cos((i*pi)/180)*sin((i*pi)/180))-(y_S*z*tan((φ*pi)/180)*(cos((i*pi)/180))^2) or Cohesion in Soil as Kilopascal = (Factor of Safety in Soil Mechanics*Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))-(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load, Saturated Unit Weight of Soil is the ratio of mass of saturated soil sample to total volume, Depth of Prism is the length of prism along z direction, 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 in KN per Cubic Meter is the unit weight of a weight of soil as observed under water 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 Saturated Unit Weight?

The Cohesion of Soil given Saturated Unit Weight is defined as the value of cohesion of soil when we have prior information of other parameters used is calculated using Cohesion in Soil as Kilopascal = (Factor of Safety in Soil Mechanics*Saturated Unit Weight of Soil*Depth of Prism*cos((Angle of Inclination to Horizontal in Soil*pi)/180)*sin((Angle of Inclination to Horizontal in Soil*pi)/180))-(Submerged Unit Weight in KN per Cubic Meter*Depth of Prism*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2). To calculate Cohesion of Soil given Saturated Unit Weight, you need Factor of Safety in Soil Mechanics (F_s), Saturated Unit Weight of Soil (γ_saturated), Depth of Prism (z), Angle of Inclination to Horizontal in Soil (i), Submerged Unit Weight in KN per Cubic Meter (y_S) & Angle of Internal Friction (φ). With our tool, you need to enter the respective value for Factor of Safety in Soil Mechanics, Saturated Unit Weight of Soil, Depth of Prism, Angle of Inclination to Horizontal in Soil, Submerged Unit Weight in KN per Cubic Meter & 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 in Soil as Kilopascal?

In this formula, Cohesion in Soil as Kilopascal uses Factor of Safety in Soil Mechanics, Saturated Unit Weight of Soil, Depth of Prism, Angle of Inclination to Horizontal in Soil, Submerged Unit Weight in KN per Cubic Meter & Angle of Internal Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cohesion in Soil as Kilopascal = Critical Depth*((Saturated Unit Weight of Soil*tan((Angle of Inclination to Horizontal in Soil*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2)-(Submerged Unit Weight in KN per Cubic Meter*tan((Angle of Internal Friction*pi)/180)*(cos((Angle of Inclination to Horizontal in Soil*pi)/180))^2))

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