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Moment of Inertia given Horizontal Shear Flow Formula

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Area Moment of Inertia is a moment about the centroidal axis without considering mass. Check FAQs

I = \frac{V \cdot A \cdot y}{τ}

I - Area Moment of Inertia?V - Shear Force?A - Cross Sectional Area?y - Distance from Neutral Axis?τ - Shear Stress?

Moment of Inertia given Horizontal Shear Flow Example

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Here is how the Moment of Inertia given Horizontal Shear Flow equation looks like with Values.

Here is how the Moment of Inertia given Horizontal Shear Flow equation looks like with Units.

Here is how the Moment of Inertia given Horizontal Shear Flow equation looks like.

3.6E+7 = \frac{24.8 \cdot 3.2 \cdot 25}{55}

3.6E+7mm⁴ = \frac{24.8kN \cdot 3.2m² \cdot 25mm}{55MPa}

3.6E+7 = \frac{24.8 \cdot 3.2 \cdot 25}{55}

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Moment of Inertia given Horizontal Shear Flow Solution

Follow our step by step solution on how to calculate Moment of Inertia given Horizontal Shear Flow?

FIRST Step Consider the formula

I = \frac{V \cdot A \cdot y}{τ}

Next Step Substitute values of Variables

∴

I = \frac{24.8kN \cdot 3.2m² \cdot 25mm}{55MPa}

Next Step Convert Units

∴

I = \frac{24800N \cdot 3.2m² \cdot 0.025m}{5.5E+7Pa}

Next Step Prepare to Evaluate

∴

I = \frac{24800 \cdot 3.2 \cdot 0.025}{5.5E+7}

Next Step Evaluate

∴

I = 3.60727272727273E-05m⁴

Next Step Convert to Output's Unit

∴

I = 36072727.2727273mm⁴

LAST Step Rounding Answer

∴

I = 3.6E+7mm⁴

Moment of Inertia given Horizontal Shear Flow Formula Elements

Variables

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Cross Sectional Area

The cross sectional area is the breadth times the depth of the structure.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area

Distance from Neutral Axis

Distance from Neutral Axis is measured between N.A. and the extreme point.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis

Shear Stress

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Other formulas in Horizontal Shear Flow category

Go Distance from Centroid given Horizontal Shear Flow

y = \frac{I \cdot τ}{V \cdot A}

Go Area given Horizontal Shear Flow

A = \frac{I \cdot τ}{V \cdot y}

Go Horizontal Shear Flow

τ = \frac{V \cdot A \cdot y}{I}

Go Shear given Horizontal Shear Flow

V = \frac{I \cdot τ}{y \cdot A}

How to Evaluate Moment of Inertia given Horizontal Shear Flow?

Moment of Inertia given Horizontal Shear Flow evaluator uses Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress to evaluate 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 evaluate Moment of Inertia given Horizontal Shear Flow using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia given Horizontal Shear Flow

What is the formula to find Moment of Inertia given Horizontal Shear Flow?

The formula of Moment of Inertia given Horizontal Shear Flow is expressed as Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress. Here is an example- 3.6E-5 = (24800*3.2*0.025)/55000000.

How to calculate Moment of Inertia given Horizontal Shear Flow?

With Shear Force (V), Cross Sectional Area (A), Distance from Neutral Axis (y) & Shear Stress (τ) we can find Moment of Inertia given Horizontal Shear Flow using the formula - Area Moment of Inertia = (Shear Force*Cross Sectional Area*Distance from Neutral Axis)/Shear Stress.

Can the Moment of Inertia given Horizontal Shear Flow be negative?

No, the Moment of Inertia given Horizontal Shear Flow, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia given Horizontal Shear Flow?

Moment of Inertia given Horizontal Shear Flow is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia given Horizontal Shear Flow can be measured.

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Moment of Inertia given Horizontal Shear Flow Formula

Moment of Inertia given Horizontal Shear Flow Example

Moment of Inertia given Horizontal Shear Flow Solution

Moment of Inertia given Horizontal Shear Flow Formula Elements

Other formulas in Horizontal Shear Flow category

How to Evaluate Moment of Inertia given Horizontal Shear Flow?

FAQs on Moment of Inertia given Horizontal Shear Flow

Variable Name