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Length of Arc of Slice given Effective Stress Formula

GoLength of Arc of Slice Formula

GoLength of Arc of Slice given Shear Force in Bishop's Analysis Formula

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Length of Arc of the slice taken into consideration. Check FAQs

l = \frac{P}{σ' + ΣU}

l - Length of Arc?P - Total Normal Force?σ^' - Effective Normal Stress?ΣU - Total Pore Pressure?

Length of Arc of Slice given Effective Stress Example

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Here is how the Length of Arc of Slice given Effective Stress equation looks like with Values.

Here is how the Length of Arc of Slice given Effective Stress equation looks like with Units.

Here is how the Length of Arc of Slice given Effective Stress equation looks like.

12.5 = \frac{150}{10 + 2}

12.5m = \frac{150N}{10Pa + 2N}

12.5 = \frac{150}{10 + 2}

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Length of Arc of Slice given Effective Stress Solution

Follow our step by step solution on how to calculate Length of Arc of Slice given Effective Stress?

FIRST Step Consider the formula

l = \frac{P}{σ' + ΣU}

Next Step Substitute values of Variables

∴

l = \frac{150N}{10Pa + 2N}

Next Step Prepare to Evaluate

∴

l = \frac{150}{10 + 2}

LAST Step Evaluate

∴

l = 12.5m

Length of Arc of Slice given Effective Stress Formula Elements

Variables

Length of Arc

Length of Arc of the slice taken into consideration.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Arc

Total Normal Force

Total normal force acting at the base of the slice.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Normal Force

Effective Normal Stress

Effective Normal Stress is related to total stress and pore pressure.

Symbol: σ^'

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Effective Normal Stress

Total Pore Pressure

Total Pore Pressure is the total pressure of the fluid in the pore space of the rock, when it exceeds the hydrostatic pressure, over pressure situation occurs.

Symbol: ΣU

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Total Pore Pressure

Other Formulas to find Length of Arc

Go Length of Arc of Slice

l = \frac{P}{σ normal}

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

l = \frac{S}{𝜏}

Other formulas in Slope Stability Analysis using Bishops Method category

Go Normal Stress on Slice

σ normal = \frac{P}{l}

Go Effective Stress on Slice

σ' = (\frac{P}{l}) - ΣU

Go Effective Cohesion of Soil given Normal Stress on Slice

c' = τ - ((σ normal - u) \cdot \tan (\frac{φ' \cdot π}{180}))

Go Normal Stress on Slice given Shear Strength

σ normal = (\frac{τ - c}{\tan (\frac{φ' \cdot π}{180})}) + u

How to Evaluate Length of Arc of Slice given Effective Stress?

Length of Arc of Slice given Effective Stress evaluator uses Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure) to evaluate the Length of Arc, The Length of Arc of Slice given Effective Stress 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 evaluate Length of Arc of Slice given Effective Stress using this online evaluator? To use this online evaluator for Length of Arc of Slice given Effective Stress, enter Total Normal Force (P), Effective Normal Stress (σ^') & Total Pore Pressure (ΣU) and hit the calculate button.

FAQs on Length of Arc of Slice given Effective Stress

What is the formula to find Length of Arc of Slice given Effective Stress?

The formula of Length of Arc of Slice given Effective Stress is expressed as Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure). Here is an example- 12.5 = 150/(10+2).

How to calculate Length of Arc of Slice given Effective Stress?

With Total Normal Force (P), Effective Normal Stress (σ^') & Total Pore Pressure (ΣU) we can find Length of Arc of Slice given Effective Stress using the formula - Length of Arc = Total Normal Force/(Effective Normal Stress+Total Pore Pressure).

What are the other ways to Calculate Length of Arc?

Here are the different ways to Calculate Length of Arc-

Length of Arc=Total Normal Force/Normal Stress in Pascal
Length of Arc=Shear Force on Slice in Soil Mechanics/Shear Stress of Soil in Pascal

Can the Length of Arc of Slice given Effective Stress be negative?

No, the Length of Arc of Slice given Effective Stress, measured in Length cannot be negative.

Which unit is used to measure Length of Arc of Slice given Effective Stress?

Length of Arc of Slice given Effective Stress is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Arc of Slice given Effective Stress can be measured.

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Length of Arc of Slice given Effective Stress Formula

​GoLength of Arc of Slice Formula

​GoLength of Arc of Slice given Shear Force in Bishop's Analysis Formula

Length of Arc of Slice given Effective Stress Example

Length of Arc of Slice given Effective Stress Solution

Length of Arc of Slice given Effective Stress Formula Elements

Other Formulas to find Length of Arc

Other formulas in Slope Stability Analysis using Bishops Method category

How to Evaluate Length of Arc of Slice given Effective Stress?

FAQs on Length of Arc of Slice given Effective Stress

Variable Name

GoLength of Arc of Slice Formula

GoLength of Arc of Slice given Shear Force in Bishop's Analysis Formula