Length of Arc of Slice Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Arc = Total Normal Force/Normal Stress in Pascal
l = P/σnormal
This formula uses 3 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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Normal Force: 150 Newton --> 150 Newton No Conversion Required
Normal Stress in Pascal: 15.71 Pascal --> 15.71 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = P/σnormal --> 150/15.71
Evaluating ... ...
l = 9.54805856142584
STEP 3: Convert Result to Output's Unit
9.54805856142584 Meter --> No Conversion Required
FINAL ANSWER
9.54805856142584 9.548059 Meter <-- Length of Arc
(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

Length of Arc of Slice Formula

​LaTeX ​Go
Length of Arc = Total Normal Force/Normal Stress in Pascal
l = P/σnormal

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?

Length of Arc of Slice calculator uses Length of Arc = Total Normal Force/Normal Stress in Pascal to calculate the Length of Arc, The Length of Arc of Slice 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 using this online calculator? To use this online calculator for Length of Arc of Slice, enter Total Normal Force (P) & Normal Stress in Pascal normal) and hit the calculate button. Here is how the Length of Arc of Slice calculation can be explained with given input values -> 187.5 = 150/15.71.

FAQ

What is Length of Arc of Slice?
The Length of Arc of Slice 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/σnormal or Length of Arc = Total Normal Force/Normal Stress in Pascal. Total normal force acting at the base of the slice & Normal Stress in Pascal is defined as the stress produced by the perpendicular action of a force on a given area.
How to calculate Length of Arc of Slice?
The Length of Arc of Slice 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/Normal Stress in Pascal. To calculate Length of Arc of Slice, you need Total Normal Force (P) & Normal Stress in Pascal normal). With our tool, you need to enter the respective value for Total Normal Force & Normal Stress in Pascal 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 & Normal Stress in Pascal. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)
  • Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal
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