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

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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25 Slope Stability Analysis using Bishops Method Calculators

Weight of Slice given Total Normal Force Acting on Slice
Go Weight of Slice = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Vertical Shear Force+Vertical Shear Force at other Section
Resultant Vertical Shear Force on Section N+1
Go Vertical Shear Force at other Section = Weight of Slice+Vertical Shear Force-(Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))
Resultant Vertical Shear Force on Section N
Go Vertical Shear Force = (Total Normal Force in Soil Mechanics*cos((Angle of Base*pi)/180))+(Shear Force on Slice in Soil Mechanics*sin((Angle of Base*pi)/180))-Weight of Slice+Vertical Shear Force at other Section
Effective Cohesion of Soil given Shear Force in Bishop's Analysis
Go 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
Factor of Safety given Shear Force in Bishop's Analysis
Go Factor of Safety = ((Effective Cohesion*Length of Arc) +(Total Normal Force-(Upward Force*Length of Arc))*tan((Effective Angle of Internal Friction*pi)/180))/Shear Force on Slice in Soil Mechanics
Effective Angle of Internal Friction given Shear Force in Bishop's Analysis
Go Effective Angle of Internal Friction = atan(((Shear Force on Slice in Soil Mechanics*Factor of Safety)-(Effective Cohesion*Length of Arc))/(Total Normal Force-(Upward Force*Length of Arc)))
Effective Cohesion of Soil given Normal Stress on Slice
Go Effective Cohesion = Shear Strength of Soil in Pascal-((Normal Stress in Pascal-Upward Force)*tan((Effective Angle of Internal Friction*pi)/180))
Normal Stress on Slice given Shear Strength
Go Normal Stress in Pascal = ((Shear Strength of Soil in Pascal-Cohesion in Soil)/tan((Effective Angle of Internal Friction*pi)/180))+Upward Force
Effective Angle of Internal Friction given Shear Strength
Go Effective Angle of Internal Friction = atan((Shear Strength-Effective Cohesion)/(Normal Stress in Mega Pascal-Upward Force))
Radius of Arc when Total Shear Force on Slice is Available
Go Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics
Total Weight of Slice given Total Shear Force on Slice
Go Total Weight of Slice in Soil Mechanics = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Horizontal Distance
Horizontal Distance of Slice from Centre of Rotation
Go Horizontal Distance = (Total Shear Force in Soil Mechanics*Radius of Soil Section)/Total Weight of Slice in Soil Mechanics
Factor of Safety given by Bishop
Go Factor of Safety = Stability Coefficient m in Soil Mechanics-(Stability Coefficient n*Pore Pressure Ratio)
Pore Pressure Ratio given Horizontal Width
Go Pore Pressure Ratio = (Upward Force*Width of Soil Section)/Total Weight of Slice in Soil Mechanics
Unit weight of Soil given Pore Pressure Ratio
Go Unit Weight of Soil = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Height of Slice))
Height of Slice given Pore Pressure Ratio
Go Height of Slice = (Upward Force in Seepage Analysis/(Pore Pressure Ratio*Unit Weight of Soil))
Pore Pressure Ratio given Unit Weight
Go Pore Pressure Ratio = (Upward Force in Seepage Analysis/(Unit Weight of Soil*Height of Slice))
Length of Arc of Slice given Effective Stress
Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)
Pore Pressure given Effective Stress on Slice
Go Total Pore Pressure = (Total Normal Force/Length of Arc)-Effective Normal Stress
Effective Stress on Slice
Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure
Length of Arc of Slice given Shear Force in Bishop's Analysis
Go Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal
Change in Pore Pressure given Overall Pore Pressure Coefficient
Go Change in Pore Pressure = Change in Normal Stress*Pore Pressure Coefficient Overall
Change in Normal Stress given Overall Pore Pressure Coefficient
Go Change in Normal Stress = Change in Pore Pressure/Pore Pressure Coefficient Overall
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

Effective Stress on Slice Formula

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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