Eccentricity of Shear Calculator

✖Width of Critical Section is the width in the span direction for which moments are being computed.ⓘ Width of Critical Section [b₁]			+10% -10%
✖Width Perpendicular to Critical Section is the width of critical section in the span direction perpendicular to b1.ⓘ Width Perpendicular to Critical Section [b₂]			+10% -10%

✖Eccentricity of Shear is the degree to which two forms fail in shear to share a common center.ⓘ Eccentricity of Shear [ϒ_v]

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Eccentricity of Shear Solution

STEP 0: Pre-Calculation Summary

Formula Used

Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2))))
ϒ_v = 1-(1/(1+((2/3)*(b₁/b₂)^(1/2))))
This formula uses 3 Variables

Variables Used

Eccentricity of Shear - Eccentricity of Shear is the degree to which two forms fail in shear to share a common center.
Width of Critical Section - (Measured in Meter) - Width of Critical Section is the width in the span direction for which moments are being computed.
Width Perpendicular to Critical Section - (Measured in Meter) - Width Perpendicular to Critical Section is the width of critical section in the span direction perpendicular to b1.

STEP 1: Convert Input(s) to Base Unit

Width of Critical Section: 9 Millimeter --> 0.009 Meter (Check conversion here)
Width Perpendicular to Critical Section: 4 Millimeter --> 0.004 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϒ_v = 1-(1/(1+((2/3)*(b₁/b₂)^(1/2)))) --> 1-(1/(1+((2/3)*(0.009/0.004)^(1/2))))

Evaluating ... ...

ϒ_v = 0.5

STEP 3: Convert Result to Output's Unit

0.5 --> No Conversion Required

FINAL ANSWER

0.5 <-- Eccentricity of Shear

(Calculation completed in 00.004 seconds)

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< Column Moments Calculators

Reinforcement Yield Strength given Shear Friction Reinforcement Area

LaTeX Go Yield Strength of Steel = Design Shear/(Capacity Reduction Factor*Coefficient of Friction*Area of Shear Friction Reinforcement)

Shear Friction Reinforcement Area

LaTeX Go Area of Shear Friction Reinforcement = Design Shear/(Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction)

Design Shear given Shear Friction Reinforcement Area

LaTeX Go Design Shear = Capacity Reduction Factor*Yield Strength of Steel*Coefficient of Friction*Area of Shear Friction Reinforcement

Eccentricity of Shear

LaTeX Go Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2))))

Eccentricity of Shear Formula

LaTeX Go

Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2))))
ϒ_v = 1-(1/(1+((2/3)*(b₁/b₂)^(1/2))))

What is Shear?

Shear is a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction.

Definition of Eccentricity.

The eccentricity of the conic section is defined as the distance from any point to its focus, divided by the perpendicular distance from that point to its nearest directrix. The eccentricity value is constant for any conics. The letter used to represent eccentricity is “e”.

How to Calculate Eccentricity of Shear?

Eccentricity of Shear calculator uses Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2)))) to calculate 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 calculate Eccentricity of Shear using this online calculator? To use this online calculator for Eccentricity of Shear, enter Width of Critical Section (b₁) & Width Perpendicular to Critical Section (b₂) and hit the calculate button. Here is how the Eccentricity of Shear calculation can be explained with given input values -> 0.5 = 1-(1/(1+((2/3)*(0.009/0.004)^(1/2)))).

FAQ

What is 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 and is represented as ϒ_v = 1-(1/(1+((2/3)*(b₁/b₂)^(1/2)))) or Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2)))). Width of Critical Section is the width in the span direction for which moments are being computed & Width Perpendicular to Critical Section is the width of critical section in the span direction perpendicular to b1.

How to calculate 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 is calculated using Eccentricity of Shear = 1-(1/(1+((2/3)*(Width of Critical Section/Width Perpendicular to Critical Section)^(1/2)))). To calculate Eccentricity of Shear, you need Width of Critical Section (b₁) & Width Perpendicular to Critical Section (b₂). With our tool, you need to enter the respective value for Width of Critical Section & Width Perpendicular to Critical 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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