Cohesion of Soil given Angle of Inclination and Slope angle 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%
✖Angle of Internal Friction is the angle measured between the normal force and resultant force .ⓘ Angle of Internal Friction [φ]			+10% -10%
✖Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface.ⓘ Slope Angle [θ]			+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%
✖Height from Toe of Wedge to Top of Wedge of soil.ⓘ Height from Toe of Wedge to Top of Wedge [H]			+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%

✖Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.ⓘ Cohesion of Soil given Angle of Inclination and Slope angle [C_eff]

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Formula

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Cohesion of Soil given Angle of Inclination and Slope angle

Formula

C eff = (F s - (\frac{\tan (\frac{φ \cdot π}{180})}{\tan (\frac{θ \cdot π}{180})})) \cdot ((\frac{1}{2}) \cdot γ \cdot H \cdot (\frac{\sin (\frac{(i - θ) \cdot π}{180})}{\sin (\frac{i \cdot π}{180})}) \cdot \sin (\frac{θ \cdot π}{180}))

Example

0.400929 kPa = (2.8 - (\frac{\tan (\frac{46 ° \cdot π}{180})}{\tan (\frac{25 ° \cdot π}{180})})) \cdot ((\frac{1}{2}) \cdot 18 kN/m³ \cdot 10 m \cdot (\frac{\sin (\frac{(64 ° - 25 °) \cdot π}{180})}{\sin (\frac{64 ° \cdot π}{180})}) \cdot \sin (\frac{25 ° \cdot π}{180}))

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Cohesion of Soil given Angle of Inclination and Slope angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180))
C_eff = (F_s-(tan((φ*pi)/180)/tan((θ*pi)/180)))*((1/2)*γ*H*(sin(((i-θ)*pi)/180)/sin((i*pi)/180))*sin((θ*pi)/180))
This formula uses 1 Constants, 2 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)
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

Effective Cohesion in Geotech as Kilopascal - (Measured in Pascal) - Effective Cohesion in Geotech as Kilopascal is the consistency of soft to hard defined on the basis of the standard CSN 73 1001 for different states of consistency and degree of saturation.
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.
Angle of Internal Friction - (Measured in Radian) - Angle of Internal Friction is the angle measured between the normal force and resultant force .
Slope Angle - (Measured in Radian) - Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface.
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.
Height from Toe of Wedge to Top of Wedge - (Measured in Meter) - Height from Toe of Wedge to Top of Wedge of soil.
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.

STEP 1: Convert Input(s) to Base Unit

Factor of Safety in Soil Mechanics: 2.8 --> No Conversion Required
Angle of Internal Friction: 46 Degree --> 0.802851455917241 Radian (Check conversion here)
Slope Angle: 25 Degree --> 0.4363323129985 Radian (Check conversion here)
Unit Weight of Soil: 18 Kilonewton per Cubic Meter --> 18000 Newton per Cubic Meter (Check conversion here)
Height from Toe of Wedge to Top of Wedge: 10 Meter --> 10 Meter No Conversion Required
Angle of Inclination to Horizontal in Soil: 64 Degree --> 1.11701072127616 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_eff = (F_s-(tan((φ*pi)/180)/tan((θ*pi)/180)))*((1/2)*γ*H*(sin(((i-θ)*pi)/180)/sin((i*pi)/180))*sin((θ*pi)/180)) --> (2.8-(tan((0.802851455917241*pi)/180)/tan((0.4363323129985*pi)/180)))*((1/2)*18000*10*(sin(((1.11701072127616-0.4363323129985)*pi)/180)/sin((1.11701072127616*pi)/180))*sin((0.4363323129985*pi)/180))

Evaluating ... ...

C_eff = 400.929325949969

STEP 3: Convert Result to Output's Unit

400.929325949969 Pascal -->0.400929325949969 Kilopascal (Check conversion here)

FINAL ANSWER

0.400929325949969 ≈ 0.400929 Kilopascal <-- Effective Cohesion in Geotech as Kilopascal

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< Slope Stability Analysis using Culman's Method Calculators

Height of Wedge of Soil given Angle of Inclination and Slope angle

Go Height of Wedge = (Height from Toe of Wedge to Top of Wedge*sin(((Angle of Inclination in Soil Mechanics-Slope Angle)*pi)/180))/sin((Angle of Inclination in Soil Mechanics*pi)/180)

Height of Wedge of Soil given Weight of Wedge

Go Height of Wedge = Weight of Wedge in Kilonewton/((Length of Slip Plane*Unit Weight of Soil)/2)

Mobilized Cohesion given Cohesive Force along Slip Plane

Go Mobilized Cohesion in Soil Mechanics = Cohesive Force in KN/Length of Slip Plane

Cohesive Force along Slip Plane

Go Cohesive Force in KN = Mobilized Cohesion in Soil Mechanics*Length of Slip Plane

Cohesion of Soil given Angle of Inclination and Slope angle Formula

What is Cohesion?

A common example of cohesion is the behavior of water molecules. Each water molecule can form four hydrogen bonds with neighbor molecules.Another cohesive substance is mercury.

How to Calculate Cohesion of Soil given Angle of Inclination and Slope angle?

Cohesion of Soil given Angle of Inclination and Slope angle calculator uses Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180)) to calculate the Effective Cohesion in Geotech as Kilopascal, Cohesion of Soil given Angle of Inclination and Slope angle is defined as the value of cohesion when we have prior information of other parameters used. Effective Cohesion in Geotech as Kilopascal is denoted by C_eff symbol.

How to calculate Cohesion of Soil given Angle of Inclination and Slope angle using this online calculator? To use this online calculator for Cohesion of Soil given Angle of Inclination and Slope angle, enter Factor of Safety in Soil Mechanics (F_s), Angle of Internal Friction (φ), Slope Angle (θ), Unit Weight of Soil (γ), Height from Toe of Wedge to Top of Wedge (H) & Angle of Inclination to Horizontal in Soil (i) and hit the calculate button. Here is how the Cohesion of Soil given Angle of Inclination and Slope angle calculation can be explained with given input values -> 0.000401 = (2.8-(tan((0.802851455917241*pi)/180)/tan((0.4363323129985*pi)/180)))*((1/2)*18000*10*(sin(((1.11701072127616-0.4363323129985)*pi)/180)/sin((1.11701072127616*pi)/180))*sin((0.4363323129985*pi)/180)).

FAQ

What is Cohesion of Soil given Angle of Inclination and Slope angle?

Cohesion of Soil given Angle of Inclination and Slope angle is defined as the value of cohesion when we have prior information of other parameters used and is represented as C_eff = (F_s-(tan((φ*pi)/180)/tan((θ*pi)/180)))*((1/2)*γ*H*(sin(((i-θ)*pi)/180)/sin((i*pi)/180))*sin((θ*pi)/180)) or Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180)). Factor of Safety in Soil Mechanics expresses how much stronger a system is than it needs to be for an intended load, Angle of Internal Friction is the angle measured between the normal force and resultant force , Slope Angle is defined as the angle measured between a horizontal plane at a given point on the land surface, Unit Weight of Soil mass is the ratio of the total weight of soil to the total volume of soil, Height from Toe of Wedge to Top of Wedge of soil & Angle of Inclination to Horizontal in Soil is defined as the angle measured from the horizontal surface of the wall or any object.

How to calculate Cohesion of Soil given Angle of Inclination and Slope angle?

Cohesion of Soil given Angle of Inclination and Slope angle is defined as the value of cohesion when we have prior information of other parameters used is calculated using Effective Cohesion in Geotech as Kilopascal = (Factor of Safety in Soil Mechanics-(tan((Angle of Internal Friction*pi)/180)/tan((Slope Angle*pi)/180)))*((1/2)*Unit Weight of Soil*Height from Toe of Wedge to Top of Wedge*(sin(((Angle of Inclination to Horizontal in Soil-Slope Angle)*pi)/180)/sin((Angle of Inclination to Horizontal in Soil*pi)/180))*sin((Slope Angle*pi)/180)). To calculate Cohesion of Soil given Angle of Inclination and Slope angle, you need Factor of Safety in Soil Mechanics (F_s), Angle of Internal Friction (φ), Slope Angle (θ), Unit Weight of Soil (γ), Height from Toe of Wedge to Top of Wedge (H) & Angle of Inclination to Horizontal in Soil (i). With our tool, you need to enter the respective value for Factor of Safety in Soil Mechanics, Angle of Internal Friction, Slope Angle, Unit Weight of Soil, Height from Toe of Wedge to Top of Wedge & Angle of Inclination to Horizontal in Soil 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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