Radius of Arc when Total Shear Force on Slice is Available Calculator

✖Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.ⓘ Total Weight of Slice in Soil Mechanics [ΣW]			+10% -10%
✖Horizontal Distance of the slice from the centre of the roattion.ⓘ Horizontal Distance [x]			+10% -10%
✖Total Shear Force in Soil Mechanics acting on the slice under the consideration.ⓘ Total Shear Force in Soil Mechanics [ΣS]			+10% -10%

✖Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.ⓘ Radius of Arc when Total Shear Force on Slice is Available [r]

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Formula

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Radius of Arc when Total Shear Force on Slice is Available

Formula

r = \frac{ΣW \cdot x}{ΣS}

Example

5.587562 m = \frac{59.8 N \cdot 2.99 m}{32 N}

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Radius of Arc when Total Shear Force on Slice is Available Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics
r = (ΣW*x)/ΣS
This formula uses 4 Variables

Variables Used

Radius of Soil Section - (Measured in Meter) - Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.
Total Weight of Slice in Soil Mechanics - (Measured in Newton) - Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.
Horizontal Distance - (Measured in Meter) - Horizontal Distance of the slice from the centre of the roattion.
Total Shear Force in Soil Mechanics - (Measured in Newton) - Total Shear Force in Soil Mechanics acting on the slice under the consideration.

STEP 1: Convert Input(s) to Base Unit

Total Weight of Slice in Soil Mechanics: 59.8 Newton --> 59.8 Newton No Conversion Required
Horizontal Distance: 2.99 Meter --> 2.99 Meter No Conversion Required
Total Shear Force in Soil Mechanics: 32 Newton --> 32 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (ΣW*x)/ΣS --> (59.8*2.99)/32

Evaluating ... ...

r = 5.5875625

STEP 3: Convert Result to Output's Unit

5.5875625 Meter --> No Conversion Required

FINAL ANSWER

5.5875625 ≈ 5.587562 Meter <-- Radius of Soil Section

(Calculation completed in 00.004 seconds)

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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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< Slope Stability Analysis using Bishops Method Calculators

Length of Arc of Slice given Effective Stress

Go Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure)

Effective Stress on Slice

Go Effective Normal Stress = (Total Normal Force/Length of Arc)-Total Pore Pressure

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

Radius of Arc when Total Shear Force on Slice is Available Formula

Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics
r = (ΣW*x)/ΣS

What is Arc?

An arc is a portion of the circumference of a circle.Strictly speaking, an arc could be a portion of some other curved shape, such as an ellipse, but it almost always refers to a circle.

How to Calculate Radius of Arc when Total Shear Force on Slice is Available?

Radius of Arc when Total Shear Force on Slice is Available calculator uses Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics to calculate the Radius of Soil Section, The Radius of Arc when Total Shear Force on Slice is Available is defined as geometric parameter influencing stability of slopes in Bishop's method. Radius of Soil Section is denoted by r symbol.

How to calculate Radius of Arc when Total Shear Force on Slice is Available using this online calculator? To use this online calculator for Radius of Arc when Total Shear Force on Slice is Available, enter Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Total Shear Force in Soil Mechanics (ΣS) and hit the calculate button. Here is how the Radius of Arc when Total Shear Force on Slice is Available calculation can be explained with given input values -> 2.04815 = (59.8*2.99)/32.

FAQ

What is Radius of Arc when Total Shear Force on Slice is Available?

The Radius of Arc when Total Shear Force on Slice is Available is defined as geometric parameter influencing stability of slopes in Bishop's method and is represented as r = (ΣW*x)/ΣS or Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics. Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration, Horizontal Distance of the slice from the centre of the roattion & Total Shear Force in Soil Mechanics acting on the slice under the consideration.

How to calculate Radius of Arc when Total Shear Force on Slice is Available?

The Radius of Arc when Total Shear Force on Slice is Available is defined as geometric parameter influencing stability of slopes in Bishop's method is calculated using Radius of Soil Section = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Total Shear Force in Soil Mechanics. To calculate Radius of Arc when Total Shear Force on Slice is Available, you need Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Total Shear Force in Soil Mechanics (ΣS). With our tool, you need to enter the respective value for Total Weight of Slice in Soil Mechanics, Horizontal Distance & Total Shear Force in Soil Mechanics 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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