Shear Strength given Normal Stress on Slice 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%
✖Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.ⓘ Normal Stress in Pascal [σ_normal]			+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%

✖Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear.ⓘ Shear Strength given Normal Stress on Slice [τ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Slope Stability Analysis using Bishops Method Formulas PDF PDF Image

Shear Strength given Normal Stress on Slice Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Strength of Soil in Pascal = (Effective Cohesion+(Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180))
τ = (c'+(σ_normal-u)*tan((φ'*pi)/180))
This formula uses 1 Constants, 1 Functions, 5 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 Strength of Soil in Pascal - (Measured in Pascal) - Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear.
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.
Normal Stress in Pascal - (Measured in Pascal) - Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.
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.

STEP 1: Convert Input(s) to Base Unit

Effective Cohesion: 4 Pascal --> 4 Pascal No Conversion Required
Normal Stress in Pascal: 15.71 Pascal --> 15.71 Pascal 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (c'+(σ_normal-u)*tan((φ'*pi)/180)) --> (4+(15.71-20)*tan((0.174358392274201*pi)/180))

Evaluating ... ...

τ = 3.98694494047909

STEP 3: Convert Result to Output's Unit

3.98694494047909 Pascal --> No Conversion Required

FINAL ANSWER

3.98694494047909 ≈ 3.986945 Pascal <-- Shear Strength of Soil in Pascal

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Slope Stability Analysis using Bishops Method » Shear Strength given Normal Stress on Slice

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 Strength given Normal Stress on Slice Formula

LaTeX Go

Shear Strength of Soil in Pascal = (Effective Cohesion+(Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180))
τ = (c'+(σ_normal-u)*tan((φ'*pi)/180))

What is Shear Strength?

Shear strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear. A shear load is a force that tends to produce a sliding failure on a material along a plane that is parallel to the direction of the force.

How to Calculate Shear Strength given Normal Stress on Slice?

Shear Strength given Normal Stress on Slice calculator uses Shear Strength of Soil in Pascal = (Effective Cohesion+(Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180)) to calculate the Shear Strength of Soil in Pascal, The Shear Strength given Normal Stress on Slice is defined as the force acting in direction that's parallel to surface or cross section of body influencing slope stability. Shear Strength of Soil in Pascal is denoted by τ symbol.

How to calculate Shear Strength given Normal Stress on Slice using this online calculator? To use this online calculator for Shear Strength given Normal Stress on Slice, enter Effective Cohesion (c'), Normal Stress in Pascal (σ_normal), Upward Force (u) & Effective Angle of Internal Friction (φ') and hit the calculate button. Here is how the Shear Strength given Normal Stress on Slice calculation can be explained with given input values -> 3.986945 = (4+(15.71-20)*tan((0.174358392274201*pi)/180)).

FAQ

What is Shear Strength given Normal Stress on Slice?

The Shear Strength given Normal Stress on Slice is defined as the force acting in direction that's parallel to surface or cross section of body influencing slope stability and is represented as τ = (c'+(σ_normal-u)*tan((φ'*pi)/180)) or Shear Strength of Soil in Pascal = (Effective Cohesion+(Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180)). 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, Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area, Upward Force due to seepage water & Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction.

How to calculate Shear Strength given Normal Stress on Slice?

The Shear Strength given Normal Stress on Slice is defined as the force acting in direction that's parallel to surface or cross section of body influencing slope stability is calculated using Shear Strength of Soil in Pascal = (Effective Cohesion+(Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180)). To calculate Shear Strength given Normal Stress on Slice, you need Effective Cohesion (c'), Normal Stress in Pascal (σ_normal), Upward Force (u) & Effective Angle of Internal Friction (φ'). With our tool, you need to enter the respective value for Effective Cohesion, Normal Stress in Pascal, Upward Force & 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.

Home

FREE PDFs

🔍 Search