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Total Shear Force on Slice given Radius of Arc Formula

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Total Shear Force in Soil Mechanics acting on the slice under the consideration. Check FAQs

ΣS = \frac{ΣW \cdot x}{r}

ΣS - Total Shear Force in Soil Mechanics?ΣW - Total Weight of Slice in Soil Mechanics?x - Horizontal Distance?r - Radius of Soil Section?

Total Shear Force on Slice given Radius of Arc Example

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Here is how the Total Shear Force on Slice given Radius of Arc equation looks like with Values.

Here is how the Total Shear Force on Slice given Radius of Arc equation looks like with Units.

Here is how the Total Shear Force on Slice given Radius of Arc equation looks like.

90.304 = \frac{59.8 \cdot 2.99}{1.98}

90.304N = \frac{59.8N \cdot 2.99m}{1.98m}

90.304 = \frac{59.8 \cdot 2.99}{1.98}

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Total Shear Force on Slice given Radius of Arc Solution

Follow our step by step solution on how to calculate Total Shear Force on Slice given Radius of Arc?

FIRST Step Consider the formula

ΣS = \frac{ΣW \cdot x}{r}

Next Step Substitute values of Variables

∴

ΣS = \frac{59.8N \cdot 2.99m}{1.98m}

Next Step Prepare to Evaluate

∴

ΣS = \frac{59.8 \cdot 2.99}{1.98}

Next Step Evaluate

∴

ΣS = 90.3040404040404N

LAST Step Rounding Answer

∴

ΣS = 90.304N

Total Shear Force on Slice given Radius of Arc Formula Elements

Variables

Total Shear Force in Soil Mechanics

Total Shear Force in Soil Mechanics acting on the slice under the consideration.

Symbol: ΣS

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Shear Force in Soil Mechanics

Total Weight of Slice in Soil Mechanics

Total Weight of Slice in Soil Mechanics is Weight of the slice taken into the consideration.

Symbol: ΣW

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Weight of Slice in Soil Mechanics

Horizontal Distance

Horizontal Distance of the slice from the centre of the roattion.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance

Radius of Soil Section

Radius of Soil Section is a radial line from the focus to any point of a curve in soil mechanics.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Soil Section

Other formulas in Slope Stability Analysis using Bishops Method category

Go Normal Stress on Slice

σ normal = \frac{P}{l}

Go Length of Arc of Slice

l = \frac{P}{σ normal}

Go Effective Stress on Slice

σ' = (\frac{P}{l}) - ΣU

Go Length of Arc of Slice given Effective Stress

l = \frac{P}{σ' + ΣU}

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

Total Shear Force on Slice given Radius of Arc evaluator uses Total Shear Force in Soil Mechanics = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Radius of Soil Section to evaluate 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 evaluate Total Shear Force on Slice given Radius of Arc using this online evaluator? To use this online evaluator 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.

FAQs on Total Shear Force on Slice given Radius of Arc

What is the formula to find Total Shear Force on Slice given Radius of Arc?

The formula of Total Shear Force on Slice given Radius of Arc is expressed as Total Shear Force in Soil Mechanics = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Radius of Soil Section. Here is an example- 33.10141 = (59.8*2.99)/1.98.

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

With Total Weight of Slice in Soil Mechanics (ΣW), Horizontal Distance (x) & Radius of Soil Section (r) we can find Total Shear Force on Slice given Radius of Arc using the formula - Total Shear Force in Soil Mechanics = (Total Weight of Slice in Soil Mechanics*Horizontal Distance)/Radius of Soil Section.

Can the Total Shear Force on Slice given Radius of Arc be negative?

No, the Total Shear Force on Slice given Radius of Arc, measured in Force cannot be negative.

Which unit is used to measure Total Shear Force on Slice given Radius of Arc?

Total Shear Force on Slice given Radius of Arc is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Total Shear Force on Slice given Radius of Arc can be measured.

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Total Shear Force on Slice given Radius of Arc Formula

Total Shear Force on Slice given Radius of Arc Example

Total Shear Force on Slice given Radius of Arc Solution

Total Shear Force on Slice given Radius of Arc Formula Elements

Other formulas in Slope Stability Analysis using Bishops Method category

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

FAQs on Total Shear Force on Slice given Radius of Arc

Variable Name