Length of Arc of Slice given Effective Stress Calculator

✖Total normal force acting at the base of the slice.ⓘ Total Normal Force [P]			+10% -10%
✖Effective Normal Stress is related to total stress and pore pressure.ⓘ Effective Normal Stress [σ^']			+10% -10%
✖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.ⓘ Total Pore Pressure [ΣU]			+10% -10%

✖Length of Arc of the slice taken into consideration.ⓘ Length of Arc of Slice given Effective Stress [l]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Slope Stability Analysis using Bishops Method Formulas PDF PDF Image

Length of Arc of Slice given Effective Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)
l = P/(σ^'+ΣU)
This formula uses 4 Variables

Variables Used

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.
Effective Normal Stress - (Measured in Pascal) - Effective Normal Stress is related to total stress and pore pressure.
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
Effective Normal Stress: 10 Pascal --> 10 Pascal No Conversion Required
Total Pore Pressure: 2 Newton --> 2 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l = P/(σ^'+ΣU) --> 150/(10+2)

Evaluating ... ...

l = 12.5

STEP 3: Convert Result to Output's Unit

12.5 Meter --> No Conversion Required

FINAL ANSWER

12.5 Meter <-- Length of Arc

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Geotechnical Engineering » Slope Stability Analysis using Bishops Method » Length of Arc of Slice given Effective Stress

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

Length of Arc of Slice given Effective Stress Formula

LaTeX Go

Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)
l = P/(σ^'+ΣU)

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 Length of Arc of Slice given Effective Stress?

Length of Arc of Slice given Effective Stress calculator uses Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure) to calculate the Length of Arc, The Length of Arc of Slice given Effective Stress is defined as the value of length of arc of slice when we have prior information of other parameters used. Length of Arc is denoted by l symbol.

How to calculate Length of Arc of Slice given Effective Stress using this online calculator? To use this online calculator for Length of Arc of Slice given Effective Stress, enter Total Normal Force (P), Effective Normal Stress (σ^') & Total Pore Pressure (ΣU) and hit the calculate button. Here is how the Length of Arc of Slice given Effective Stress calculation can be explained with given input values -> 12.5 = 150/(10+2).

FAQ

What is Length of Arc of Slice given Effective Stress?

The Length of Arc of Slice given Effective Stress is defined as the value of length of arc of slice when we have prior information of other parameters used and is represented as l = P/(σ^'+ΣU) or Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure). Total normal force acting at the base of the slice, Effective Normal Stress is related to total stress and pore pressure & 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 Length of Arc of Slice given Effective Stress?

The Length of Arc of Slice given Effective Stress is defined as the value of length of arc of slice when we have prior information of other parameters used is calculated using Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure). To calculate Length of Arc of Slice given Effective Stress, you need Total Normal Force (P), Effective Normal Stress (σ^') & Total Pore Pressure (ΣU). With our tool, you need to enter the respective value for Total Normal Force, Effective Normal Stress & Total Pore Pressure 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 Length of Arc?

In this formula, Length of Arc uses Total Normal Force, Effective Normal Stress & Total Pore Pressure. We can use 2 other way(s) to calculate the same, which is/are as follows -

Length of Arc = Total Normal Force/Normal Stress in Pascal
Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal

Home

FREE PDFs

🔍 Search