Shear Force in Bishop's Analysis given Factor of Safety Calculator

✖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 [c']			+10% -10%
✖Length of Arc of the slice taken into consideration.ⓘ Length of Arc [l]			+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%
✖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%
✖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%

✖Shear Force on Slice in Soil Mechanics acting along the base of slice.ⓘ Shear Force in Bishop's Analysis given Factor of Safety [S]

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Shear Force in Bishop's Analysis given Factor of Safety Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force on Slice in Soil Mechanics = ((Effective Cohesion*Length of Arc)+(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Factor of Safety
S = ((c'*l)+(P-(u*l))*tan((φ'*pi)/180))/f_s
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

Shear Force on Slice in Soil Mechanics - (Measured in Newton) - Shear Force on Slice in Soil Mechanics acting along the base of slice.
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.
Length of Arc - (Measured in Meter) - Length of Arc of the slice taken into consideration.
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.
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.
Factor of Safety - Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

STEP 1: Convert Input(s) to Base Unit

Effective Cohesion: 4 Pascal --> 4 Pascal No Conversion Required
Length of Arc: 9.42 Meter --> 9.42 Meter No Conversion Required
Total Normal Force: 150 Newton --> 150 Newton No Conversion Required
Upward Force: 20 Pascal --> 20 Pascal No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
Factor of Safety: 2.8 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = ((c'*l)+(P-(u*l))*tan((φ'*pi)/180))/f_s --> ((4*9.42)+(150-(20*9.42))*tan((0.174358392274201*pi)/180))/2.8

Evaluating ... ...

S = 13.4154084011319

STEP 3: Convert Result to Output's Unit

13.4154084011319 Newton --> No Conversion Required

FINAL ANSWER

13.4154084011319 ≈ 13.41541 Newton <-- Shear Force on Slice in Soil Mechanics

(Calculation completed in 00.004 seconds)

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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

Shear Force in Bishop's Analysis given Factor of Safety Formula

LaTeX Go

What is Shear Force?

Shear force is a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body, like the pressure of air flow over an airplane wing. The word shear in the term is a reference to the fact that such a force can cut, or shear, through the surface or object under strain.

How to Calculate Shear Force in Bishop's Analysis given Factor of Safety?

Shear Force in Bishop's Analysis given Factor of Safety calculator uses Shear Force on Slice in Soil Mechanics = ((Effective Cohesion*Length of Arc)+(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Factor of Safety to calculate the Shear Force on Slice in Soil Mechanics, The Shear Force in Bishop's Analysis given Factor of Safety is defined as a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body influencing slope stability. Shear Force on Slice in Soil Mechanics is denoted by S symbol.

How to calculate Shear Force in Bishop's Analysis given Factor of Safety using this online calculator? To use this online calculator for Shear Force in Bishop's Analysis given Factor of Safety, enter Effective Cohesion (c'), Length of Arc (l), Total Normal Force (P), Upward Force (u), Effective Angle of Internal Friction (φ') & Factor of Safety (f_s) and hit the calculate button. Here is how the Shear Force in Bishop's Analysis given Factor of Safety calculation can be explained with given input values -> 13.41541 = ((4*9.42)+(150-(20*9.42))*tan((0.174358392274201*pi)/180))/2.8.

FAQ

What is Shear Force in Bishop's Analysis given Factor of Safety?

The Shear Force in Bishop's Analysis given Factor of Safety is defined as a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body influencing slope stability and is represented as S = ((c'*l)+(P-(u*l))*tan((φ'*pi)/180))/f_s or Shear Force on Slice in Soil Mechanics = ((Effective Cohesion*Length of Arc)+(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Factor of Safety. 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, Length of Arc of the slice taken into consideration, Total normal force acting at the base of the slice, Upward Force due to seepage water, Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction & Factor of Safety expresses how much stronger a system is than it needs to be for an intended load.

How to calculate Shear Force in Bishop's Analysis given Factor of Safety?

The Shear Force in Bishop's Analysis given Factor of Safety is defined as a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body influencing slope stability is calculated using Shear Force on Slice in Soil Mechanics = ((Effective Cohesion*Length of Arc)+(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Factor of Safety. To calculate Shear Force in Bishop's Analysis given Factor of Safety, you need Effective Cohesion (c'), Length of Arc (l), Total Normal Force (P), Upward Force (u), Effective Angle of Internal Friction (φ') & Factor of Safety (f_s). With our tool, you need to enter the respective value for Effective Cohesion, Length of Arc, Total Normal Force, Upward Force, Effective Angle of Internal Friction & Factor of Safety 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 Shear Force on Slice in Soil Mechanics?

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

Shear Force on Slice in Soil Mechanics = Shear Stress of Soil in Pascal*Length of Arc

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