Total Shear Force on Slice given Radius of Arc 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%
✖Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.ⓘ Radius of Soil Section [r]			+10% -10%

✖Total Shear Force in Soil Mechanics acting on the slice under the consideration.ⓘ Total Shear Force on Slice given Radius of Arc [ΣS]

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Formula

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Total Shear Force on Slice given Radius of Arc

Formula

ΣS = \frac{ΣW \cdot x}{r}

Example

90.30404 N = \frac{59.8 N \cdot 2.99 m}{1.98 m}

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Total Shear Force on Slice given Radius of Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Total Shear Force in Soil Mechanics - (Measured in Newton) - Total Shear Force in Soil Mechanics acting on the slice under the consideration.
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.
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.

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
Radius of Soil Section: 1.98 Meter --> 1.98 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΣS = (ΣW*x)/r --> (59.8*2.99)/1.98

Evaluating ... ...

ΣS = 90.3040404040404

STEP 3: Convert Result to Output's Unit

90.3040404040404 Newton --> No Conversion Required

FINAL ANSWER

90.3040404040404 ≈ 90.30404 Newton <-- Total Shear Force in Soil Mechanics

(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

Total Shear Force on Slice given Radius of Arc Formula

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

What is Shear Force?

Shear force is a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body, like the pressure of air flow over an airplane wing. The word shear in the term is a reference to the fact that such a force can cut, or shear, through the surface or object under strain.

How to Calculate Total Shear Force on Slice given Radius of Arc?

Total Shear Force on Slice given Radius of Arc calculator uses Total Shear Force in Soil Mechanics = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Radius of Soil Section to calculate the Total Shear Force in Soil Mechanics, The Total Shear Force on Slice given Radius of Arc is defined as a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body influencing slope stability. Total Shear Force in Soil Mechanics is denoted by ΣS symbol.

How to calculate Total Shear Force on Slice given Radius of Arc using this online calculator? To use this online calculator for Total Shear Force on Slice given Radius of Arc, enter Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Radius of Soil Section (r) and hit the calculate button. Here is how the Total Shear Force on Slice given Radius of Arc calculation can be explained with given input values -> 33.10141 = (59.8*2.99)/1.98.

FAQ

What is Total Shear Force on Slice given Radius of Arc?

The Total Shear Force on Slice given Radius of Arc is defined as a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body influencing slope stability and is represented as ΣS = (ΣW*x)/r or Total Shear Force in Soil Mechanics = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Radius of Soil Section. 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 & Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.

How to calculate Total Shear Force on Slice given Radius of Arc?

The Total Shear Force on Slice given Radius of Arc is defined as a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body influencing slope stability is calculated using Total Shear Force in Soil Mechanics = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Radius of Soil Section. To calculate Total Shear Force on Slice given Radius of Arc, you need Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Radius of Soil Section (r). With our tool, you need to enter the respective value for Total Weight of Slice in Soil Mechanics, Horizontal Distance & Radius of Soil Section 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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