Moment of Inertia given Horizontal Shear Flow Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖The cross sectional area is the breadth times the depth of the structure.ⓘ Cross Sectional Area [A]			+10% -10%
✖Distance from Neutral Axis is measured between N.A. and the extreme point.ⓘ Distance from Neutral Axis [y]			+10% -10%
✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [τ]			+10% -10%

✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Moment of Inertia given Horizontal Shear Flow [I]

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Formula

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Moment of Inertia given Horizontal Shear Flow

Formula

`"I" = ("V"*"A"*"y")/"τ"`

Example

`"3.6E^7mm⁴"=("24.8kN"*"3.2m²"*"25mm")/"55MPa"`

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Moment of Inertia given Horizontal Shear Flow Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress
I = (V*A*y)/τ
This formula uses 5 Variables

Variables Used

Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Cross Sectional Area - (Measured in Square Meter) - The cross sectional area is the breadth times the depth of the structure.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is measured between N.A. and the extreme point.
Shear Stress - (Measured in Pascal) - Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Cross Sectional Area: 3.2 Square Meter --> 3.2 Square Meter No Conversion Required
Distance from Neutral Axis: 25 Millimeter --> 0.025 Meter (Check conversion here)
Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (V*A*y)/τ --> (24800*3.2*0.025)/55000000

Evaluating ... ...

I = 3.60727272727273E-05

STEP 3: Convert Result to Output's Unit

3.60727272727273E-05 Meter⁴ -->36072727.2727273 Millimeter⁴ (Check conversion here)

FINAL ANSWER

36072727.2727273 ≈ 3.6E+7 Millimeter⁴ <-- Area Moment of Inertia

(Calculation completed in 00.004 seconds)

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< 5 Horizontal Shear Flow Calculators

Distance from Centroid given Horizontal Shear Flow

Go Distance from Neutral Axis = (Area Moment of Inertia*Shear Stress)/(Shear Force*Cross Sectional Area)

Shear given Horizontal Shear Flow

Go Shear Force = (Area Moment of Inertia*Shear Stress)/(Distance from Neutral Axis*Cross Sectional Area)

Area given Horizontal Shear Flow

Go Cross Sectional Area = (Area Moment of Inertia*Shear Stress)/(Shear Force*Distance from Neutral Axis)

Moment of Inertia given Horizontal Shear Flow

Go Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress

Horizontal Shear Flow

Go Shear Stress = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Area Moment of Inertia

Moment of Inertia given Horizontal Shear Flow Formula

Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress
I = (V*A*y)/τ

What is Horizontal Shear Stress?

The Horizontal Shear Stress is (normally) a maximum at the neutral axis of the beam. This is the opposite of the behavior of the Bending Stress which is maximum at the other edge of the beam, and zero at the neutral axis.

How to Calculate Moment of Inertia given Horizontal Shear Flow?

Moment of Inertia given Horizontal Shear Flow calculator uses Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress to calculate the Area Moment of Inertia, The Moment of Inertia given Horizontal Shear Flow is defined as the moment of inertia of the cross-section undergoing shear. Area Moment of Inertia is denoted by I symbol.

How to calculate Moment of Inertia given Horizontal Shear Flow using this online calculator? To use this online calculator for Moment of Inertia given Horizontal Shear Flow, enter Shear Force (V), Cross Sectional Area (A), Distance from Neutral Axis (y) & Shear Stress (τ) and hit the calculate button. Here is how the Moment of Inertia given Horizontal Shear Flow calculation can be explained with given input values -> 3.6E-5 = (24800*3.2*0.025)/55000000.

FAQ

What is Moment of Inertia given Horizontal Shear Flow?

The Moment of Inertia given Horizontal Shear Flow is defined as the moment of inertia of the cross-section undergoing shear and is represented as I = (V*A*y)/τ or Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress. Shear Force is the force which causes shear deformation to occur in the shear plane, The cross sectional area is the breadth times the depth of the structure, Distance from Neutral Axis is measured between N.A. and the extreme point & Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to calculate Moment of Inertia given Horizontal Shear Flow?

The Moment of Inertia given Horizontal Shear Flow is defined as the moment of inertia of the cross-section undergoing shear is calculated using Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress. To calculate Moment of Inertia given Horizontal Shear Flow, you need Shear Force (V), Cross Sectional Area (A), Distance from Neutral Axis (y) & Shear Stress (τ). With our tool, you need to enter the respective value for Shear Force, Cross Sectional Area, Distance from Neutral Axis & Shear Stress 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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