Effective Cohesion of Soil given Shear Force in Bishop's Analysis Calculator

✖Shear Force on Slice in Soil Mechanics acting along the base of slice.ⓘ Shear Force on Slice in Soil Mechanics [S]			+10% -10%
✖Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.ⓘ Factor of Safety [f_s]			+10% -10%
✖Total normal force acting at the base of the slice.ⓘ Total Normal Force [P]			+10% -10%
✖Upward Force due to seepage water.ⓘ Upward Force [u]			+10% -10%
✖Length of Arc of the slice taken into consideration.ⓘ Length of Arc [l]			+10% -10%
✖Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.ⓘ Effective Angle of Internal Friction [φ']			+10% -10%

✖Effective Cohesion 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.ⓘ Effective Cohesion of Soil given Shear Force in Bishop's Analysis [c']

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Effective Cohesion of Soil given Shear Force in Bishop's Analysis Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Cohesion = ((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc
c' = ((S*f_s)-((P-(u*l))*tan((φ'*pi)/180)))/l
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

Variables Used

Effective Cohesion - (Measured in Pascal) - Effective Cohesion 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.
Shear Force on Slice in Soil Mechanics - (Measured in Newton) - Shear Force on Slice in Soil Mechanics acting along the base of slice.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.
Total Normal Force - (Measured in Newton) - Total normal force acting at the base of the slice.
Upward Force - (Measured in Pascal) - Upward Force due to seepage water.
Length of Arc - (Measured in Meter) - Length of Arc of the slice taken into consideration.
Effective Angle of Internal Friction - (Measured in Radian) - Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Slice in Soil Mechanics: 11.07 Newton --> 11.07 Newton No Conversion Required
Factor of Safety: 2.8 --> No Conversion Required
Total Normal Force: 150 Newton --> 150 Newton No Conversion Required
Upward Force: 20 Pascal --> 20 Pascal No Conversion Required
Length of Arc: 9.42 Meter --> 9.42 Meter No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

c' = ((S*f_s)-((P-(u*l))*tan((φ'*pi)/180)))/l --> ((11.07*2.8)-((150-(20*9.42))*tan((0.174358392274201*pi)/180)))/9.42

Evaluating ... ...

c' = 3.30285100603297

STEP 3: Convert Result to Output's Unit

3.30285100603297 Pascal --> No Conversion Required

FINAL ANSWER

3.30285100603297 ≈ 3.302851 Pascal <-- Effective Cohesion

(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 Bishops Method Calculators

Length of Arc of Slice given Effective Stress

LaTeX Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Effective Stress on Slice

LaTeX Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

Normal Stress on Slice

LaTeX Go Normal Stress in Pascal = Total Normal Force/Length of Arc

Length of Arc of Slice

LaTeX Go Length of Arc = Total Normal Force/Normal Stress in Pascal

Effective Cohesion of Soil given Shear Force in Bishop's Analysis Formula

LaTeX Go

What is Cohesion?

Cohesion is the stress (act) of sticking together. Yet, in engineering mechanics, particularly in soil mechanics, cohesion refers to shear strength under zero normal stress, or the intercept of a material's failure envelope with shear stress axis in the shear stress-normal stress space.

How to Calculate Effective Cohesion of Soil given Shear Force in Bishop's Analysis?

Effective Cohesion of Soil given Shear Force in Bishop's Analysis calculator uses Effective Cohesion = ((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc to calculate the Effective Cohesion, The Effective Cohesion of Soil given Shear Force in Bishop's Analysis is defined as the value of effective cohesion when we have prior information of other parameters used. Effective Cohesion is denoted by c' symbol.

How to calculate Effective Cohesion of Soil given Shear Force in Bishop's Analysis using this online calculator? To use this online calculator for Effective Cohesion of Soil given Shear Force in Bishop's Analysis, enter Shear Force on Slice in Soil Mechanics (S), Factor of Safety (f_s), Total Normal Force (P), Upward Force (u), Length of Arc (l) & Effective Angle of Internal Friction (φ') and hit the calculate button. Here is how the Effective Cohesion of Soil given Shear Force in Bishop's Analysis calculation can be explained with given input values -> 1.519412 = ((11.07*2.8)-((150-(20*9.42))*tan((0.174358392274201*pi)/180)))/9.42.

FAQ

What is Effective Cohesion of Soil given Shear Force in Bishop's Analysis?

The Effective Cohesion of Soil given Shear Force in Bishop's Analysis is defined as the value of effective cohesion when we have prior information of other parameters used and is represented as c' = ((S*f_s)-((P-(u*l))*tan((φ'*pi)/180)))/l or Effective Cohesion = ((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc. Shear Force on Slice in Soil Mechanics acting along the base of slice, Factor of Safety expresses how much stronger a system is than it needs to be for an intended load, Total normal force acting at the base of the slice, Upward Force due to seepage water, Length of Arc of the slice taken into consideration & Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.

How to calculate Effective Cohesion of Soil given Shear Force in Bishop's Analysis?

The Effective Cohesion of Soil given Shear Force in Bishop's Analysis is defined as the value of effective cohesion when we have prior information of other parameters used is calculated using Effective Cohesion = ((Shear Force on Slice in Soil Mechanics*Factor of Safety)-((Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180)))/Length of Arc. To calculate Effective Cohesion of Soil given Shear Force in Bishop's Analysis, you need Shear Force on Slice in Soil Mechanics (S), Factor of Safety (f_s), Total Normal Force (P), Upward Force (u), Length of Arc (l) & Effective Angle of Internal Friction (φ'). With our tool, you need to enter the respective value for Shear Force on Slice in Soil Mechanics, Factor of Safety, Total Normal Force, Upward Force, Length of Arc & Effective 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 Effective Cohesion?

In this formula, Effective Cohesion uses Shear Force on Slice in Soil Mechanics, Factor of Safety, Total Normal Force, Upward Force, Length of Arc & Effective Angle of Internal Friction. We can use 1 other way(s) to calculate the same, which is/are as follows -

Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180))

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