Length of Arc of Slice given Shear Force in Bishop's Analysis Solution

STEP 0: Pre-Calculation Summary
Formula Used
Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal
l = S/𝜏
This formula uses 3 Variables
Variables Used
Length of Arc - (Measured in Meter) - Length of Arc of the slice taken into consideration.
Shear Force on Slice in Soil Mechanics - (Measured in Newton) - Shear Force on Slice in Soil Mechanics acting along the base of slice.
Shear Stress of Soil in Pascal - (Measured in Pascal) - Shear Stress of Soil in Pascal is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
STEP 1: Convert Input(s) to Base Unit
Shear Force on Slice in Soil Mechanics: 11.07 Newton --> 11.07 Newton No Conversion Required
Shear Stress of Soil in Pascal: 1.11 Pascal --> 1.11 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = S/𝜏 --> 11.07/1.11
Evaluating ... ...
l = 9.97297297297297
STEP 3: Convert Result to Output's Unit
9.97297297297297 Meter --> No Conversion Required
FINAL ANSWER
9.97297297297297 9.972973 Meter <-- Length of Arc
(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri
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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 given Shear Force in Bishop's Analysis Formula

​LaTeX ​Go
Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal
l = S/𝜏

What is Shear Stress?

Shear stress, often denoted by τ (Greek: tau), is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section.

How to Calculate Length of Arc of Slice given Shear Force in Bishop's Analysis?

Length of Arc of Slice given Shear Force in Bishop's Analysis calculator uses Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal to calculate the Length of Arc, The Length of Arc of Slice given Shear Force in Bishop's Analysis is defined as the value of length of arc 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 Shear Force in Bishop's Analysis using this online calculator? To use this online calculator for Length of Arc of Slice given Shear Force in Bishop's Analysis, enter Shear Force on Slice in Soil Mechanics (S) & Shear Stress of Soil in Pascal (𝜏) and hit the calculate button. Here is how the Length of Arc of Slice given Shear Force in Bishop's Analysis calculation can be explained with given input values -> 0.181475 = 11.07/1.11.

FAQ

What is Length of Arc of Slice given Shear Force in Bishop's Analysis?
The Length of Arc of Slice given Shear Force in Bishop's Analysis is defined as the value of length of arc when we have prior information of other parameters used and is represented as l = S/𝜏 or Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal. Shear Force on Slice in Soil Mechanics acting along the base of slice & Shear Stress of Soil in Pascal is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
How to calculate Length of Arc of Slice given Shear Force in Bishop's Analysis?
The Length of Arc of Slice given Shear Force in Bishop's Analysis is defined as the value of length of arc when we have prior information of other parameters used is calculated using Length of Arc = Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal. To calculate Length of Arc of Slice given Shear Force in Bishop's Analysis, you need Shear Force on Slice in Soil Mechanics (S) & Shear Stress of Soil in Pascal (𝜏). With our tool, you need to enter the respective value for Shear Force on Slice in Soil Mechanics & Shear Stress of Soil 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 Shear Force on Slice in Soil Mechanics & Shear Stress of Soil in Pascal. 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 = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)
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