Normal Stress on Slice given Shear Strength Calculator

✖Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear.ⓘ Shear Strength of Soil in Pascal [τ]			+10% -10%
✖Cohesion in Soil 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 in Soil [c]			+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%
✖Upward Force due to seepage water.ⓘ Upward Force [u]			+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 on Slice given Shear Strength [σ_normal]

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Formula

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Normal Stress on Slice given Shear Strength

Formula

σ normal = (\frac{τ - c}{\tan (\frac{φ' \cdot π}{180})}) + u

Example

23.28608 Pa = (\frac{2.06 Pa - 2.05 Pa}{\tan (\frac{9.99 ° \cdot π}{180})}) + 20 Pa

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Normal Stress on Slice given Shear Strength Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
Cohesion in Soil - (Measured in Pascal) - Cohesion in Soil 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.
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.
Upward Force - (Measured in Pascal) - Upward Force due to seepage water.

STEP 1: Convert Input(s) to Base Unit

Shear Strength of Soil in Pascal: 2.06 Pascal --> 2.06 Pascal No Conversion Required
Cohesion in Soil: 2.05 Pascal --> 2.05 Pascal No Conversion Required
Effective Angle of Internal Friction: 9.99 Degree --> 0.174358392274201 Radian (Check conversion here)
Upward Force: 20 Pascal --> 20 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_normal = ((τ-c)/tan((φ'*pi)/180))+u --> ((2.06-2.05)/tan((0.174358392274201*pi)/180))+20

Evaluating ... ...

σ_normal = 23.2860822986885

STEP 3: Convert Result to Output's Unit

23.2860822986885 Pascal --> No Conversion Required

FINAL ANSWER

23.2860822986885 ≈ 23.28608 Pascal <-- Normal Stress in Pascal

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Slope Stability Analysis using Bishops Method Calculators

Length of Arc of Slice given Effective Stress

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

Effective Stress on Slice

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

Normal Stress on Slice

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

Length of Arc of Slice

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

Normal Stress on Slice given Shear Strength Formula

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

What is Normal Stress?

A normal stress is a stress that occurs when a member is loaded by an axial force. The value of the normal force for any prismatic section is simply the force divided by the cross sectional area.

How to Calculate Normal Stress on Slice given Shear Strength?

Normal Stress on Slice given Shear Strength calculator uses Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force to calculate the Normal Stress in Pascal, The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used. Normal Stress in Pascal is denoted by σ_normal symbol.

How to calculate Normal Stress on Slice given Shear Strength using this online calculator? To use this online calculator for Normal Stress on Slice given Shear Strength, enter Shear Strength of Soil in Pascal (τ), Cohesion in Soil (c), Effective Angle of Internal Friction (φ') & Upward Force (u) and hit the calculate button. Here is how the Normal Stress on Slice given Shear Strength calculation can be explained with given input values -> 23.28608 = ((2.06-2.05)/tan((0.174358392274201*pi)/180))+20.

FAQ

What is Normal Stress on Slice given Shear Strength?

The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used and is represented as σ_normal = ((τ-c)/tan((φ'*pi)/180))+u or Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force. Shear Strength of Soil in Pascal is the strength of a material against the structural failure when the material fails in shear, Cohesion in Soil 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, Effective Angle of Internal Friction is a measure of the shear strength of soils due to friction & Upward Force due to seepage water.

How to calculate Normal Stress on Slice given Shear Strength?

The Normal Stress on Slice given Shear Strength is defined as the value of normal stress when we have prior information of other parameters used is calculated using Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force. To calculate Normal Stress on Slice given Shear Strength, you need Shear Strength of Soil in Pascal (τ), Cohesion in Soil (c), Effective Angle of Internal Friction (φ') & Upward Force (u). With our tool, you need to enter the respective value for Shear Strength of Soil in Pascal, Cohesion in Soil, Effective Angle of Internal Friction & Upward Force 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 Normal Stress in Pascal?

In this formula, Normal Stress in Pascal uses Shear Strength of Soil in Pascal, Cohesion in Soil, Effective Angle of Internal Friction & Upward Force. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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