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Eccentricity of Shear Formula

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Eccentricity of Shear is the degree to which two forms fail in shear to share a common center. Check FAQs

ϒ v = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{b 1}{b 2})}^{\frac{1}{2}})})

ϒ_v - Eccentricity of Shear?b₁ - Width of Critical Section?b₂ - Width Perpendicular to Critical Section?

Eccentricity of Shear Example

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Here is how the Eccentricity of Shear equation looks like with Values.

Here is how the Eccentricity of Shear equation looks like with Units.

Here is how the Eccentricity of Shear equation looks like.

0.5 = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{9}{4})}^{\frac{1}{2}})})

0.5 = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{9mm}{4mm})}^{\frac{1}{2}})})

0.5 = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{9}{4})}^{\frac{1}{2}})})

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Eccentricity of Shear Solution

Follow our step by step solution on how to calculate Eccentricity of Shear?

FIRST Step Consider the formula

ϒ v = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{b 1}{b 2})}^{\frac{1}{2}})})

Next Step Substitute values of Variables

∴

ϒ v = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{9mm}{4mm})}^{\frac{1}{2}})})

Next Step Convert Units

∴

ϒ v = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{0.009m}{0.004m})}^{\frac{1}{2}})})

Next Step Prepare to Evaluate

∴

ϒ v = 1 - (\frac{1}{1 + ((\frac{2}{3}) \cdot {(\frac{0.009}{0.004})}^{\frac{1}{2}})})

LAST Step Evaluate

∴

ϒ v = 0.5

Eccentricity of Shear Formula Elements

Variables

Eccentricity of Shear

Eccentricity of Shear is the degree to which two forms fail in shear to share a common center.

Symbol: ϒ_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Eccentricity of Shear

Width of Critical Section

Width of Critical Section is the width in the span direction for which moments are being computed.

Symbol: b₁

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Critical Section

Width Perpendicular to Critical Section

Width Perpendicular to Critical Section is the width of critical section in the span direction perpendicular to b1.

Symbol: b₂

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width Perpendicular to Critical Section

Other formulas in Column Moments category

Go Shear Friction Reinforcement Area

A vt = \frac{Vu}{φ \cdot f y \cdot μ friction}

Go Design Shear given Shear Friction Reinforcement Area

Vu = φ \cdot f y \cdot μ friction \cdot A vt

Go Reinforcement Yield Strength given Shear Friction Reinforcement Area

f y = \frac{Vu}{φ \cdot μ friction \cdot A vt}

How to Evaluate Eccentricity of Shear?

Eccentricity of Shear evaluator uses Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2)))) to evaluate the Eccentricity of Shear, The Eccentricity of Shear formula is defined as the degree to which two forms fail in shear to share a common center. Eccentricity of Shear is denoted by ϒ_v symbol.

How to evaluate Eccentricity of Shear using this online evaluator? To use this online evaluator for Eccentricity of Shear, enter Width of Critical Section (b₁) & Width Perpendicular to Critical Section (b₂) and hit the calculate button.

FAQs on Eccentricity of Shear

What is the formula to find Eccentricity of Shear?

The formula of Eccentricity of Shear is expressed as Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2)))). Here is an example- 0.5 = 1-(1/(1+((2/3)*(0.009/0.004)^(1/2)))).

How to calculate Eccentricity of Shear?

With Width of Critical Section (b₁) & Width Perpendicular to Critical Section (b₂) we can find Eccentricity of Shear using the formula - Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2)))).

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Eccentricity of Shear Formula

Eccentricity of Shear Example

Eccentricity of Shear Solution

Eccentricity of Shear Formula Elements

Other formulas in Column Moments category

How to Evaluate Eccentricity of Shear?

FAQs on Eccentricity of Shear

Variable Name