Effective Stress on Slice Solution

STEP 0: Pre-Calculation Summary
Formula Used
Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure
σ' = (P/l)-ΣU
This formula uses 4 Variables
Variables Used
Effective Normal Stress - (Measured in Pascal) - Effective Normal Stress is related to total stress and pore pressure.
Total Normal Force - (Measured in Newton) - Total normal force acting at the base of the slice.
Length of Arc - (Measured in Meter) - Length of Arc of the slice taken into consideration.
Total Pore Pressure - (Measured in Newton) - Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.
STEP 1: Convert Input(s) to Base Unit
Total Normal Force: 150 Newton --> 150 Newton No Conversion Required
Length of Arc: 9.42 Meter --> 9.42 Meter No Conversion Required
Total Pore Pressure: 2 Newton --> 2 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σ' = (P/l)-ΣU --> (150/9.42)-2
Evaluating ... ...
σ' = 13.9235668789809
STEP 3: Convert Result to Output's Unit
13.9235668789809 Pascal --> No Conversion Required
FINAL ANSWER
13.9235668789809 13.92357 Pascal <-- Effective Normal Stress
(Calculation completed in 00.004 seconds)

Credits

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
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
​ 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 Stress on Slice Formula

​LaTeX ​Go
Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure
σ' = (P/l)-ΣU

What is Effective Normal Stress?

The effective stress s´ is related to total stress and pore pressure by s´ = s - u. The adjective 'effective' is particularly apt, because it is effective stress that is effective in causing important changes: changes in strength, changes in volume, changes in shape.

How to Calculate Effective Stress on Slice?

Effective Stress on Slice calculator uses Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure to calculate the Effective Normal Stress, The Effective Stress on Slice is defined as the value of effective normal stress when we have prior information of other parameters used. Effective Normal Stress is denoted by σ' symbol.

How to calculate Effective Stress on Slice using this online calculator? To use this online calculator for Effective Stress on Slice, enter Total Normal Force (P), Length of Arc (l) & Total Pore Pressure (ΣU) and hit the calculate button. Here is how the Effective Stress on Slice calculation can be explained with given input values -> 13 = (150/9.42)-2.

FAQ

What is Effective Stress on Slice?
The Effective Stress on Slice is defined as the value of effective normal stress when we have prior information of other parameters used and is represented as σ' = (P/l)-ΣU or Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure. Total normal force acting at the base of the slice, Length of Arc of the slice taken into consideration & Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.
How to calculate Effective Stress on Slice?
The Effective Stress on Slice is defined as the value of effective normal stress when we have prior information of other parameters used is calculated using Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure. To calculate Effective Stress on Slice, you need Total Normal Force (P), Length of Arc (l) & Total Pore Pressure (ΣU). With our tool, you need to enter the respective value for Total Normal Force, Length of Arc & Total Pore Pressure 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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