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Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Formula

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Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration. Check FAQs

I yy = \frac{M y \cdot y}{σ b}

I_yy - Moment of Inertia about y-y axis?M_y - Moment of Load about y-y axis?y - Distance of Load Point from y-axis?σ_b - Bending Stress in Column?

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Example

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Here is how the Moment of Inertia about y-y Axis given Bending Stress about y-y Axis equation looks like with Values.

Here is how the Moment of Inertia about y-y Axis given Bending Stress about y-y Axis equation looks like with Units.

Here is how the Moment of Inertia about y-y Axis given Bending Stress about y-y Axis equation looks like.

1.3E+6 = \frac{6.4 \cdot 8}{0.04}

1.3E+6mm⁴ = \frac{6.4N*m \cdot 8mm}{0.04MPa}

1.3E+6 = \frac{6.4 \cdot 8}{0.04}

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Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Solution

Follow our step by step solution on how to calculate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

FIRST Step Consider the formula

I yy = \frac{M y \cdot y}{σ b}

Next Step Substitute values of Variables

∴

I yy = \frac{6.4N*m \cdot 8mm}{0.04MPa}

Next Step Convert Units

∴

I yy = \frac{6.4N*m \cdot 0.008m}{40000Pa}

Next Step Prepare to Evaluate

∴

I yy = \frac{6.4 \cdot 0.008}{40000}

Next Step Evaluate

∴

I yy = 1.28E-06m⁴

Next Step Convert to Output's Unit

∴

I yy = 1280000mm⁴

LAST Step Rounding Answer

∴

I yy = 1.3E+6mm⁴

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Formula Elements

Variables

Moment of Inertia about y-y axis

Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.

Symbol: I_yy

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about y-y axis

Moment of Load about y-y axis

Moment of Load about y-y axis is a measure of its tendency to cause a body to rotate about a specific point or axis.

Symbol: M_y

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Moment of Load about y-y axis

Distance of Load Point from y-axis

Distance of Load Point from y-axis is a numerical measurement of how far apart objects or points are.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Load Point from y-axis

Bending Stress in Column

Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Column

Other formulas in Rectangular Section is Subjected to Load Eccentric to Both Axis category

Go Moment of Load about x-x Axis

M x = P \cdot e xx

Go Eccentricity of Load about x-x Axis

e xx = \frac{M x}{P}

Go Moment of Load about y-y Axis

M y = P \cdot e yy

Go Eccentricity of Load about Y-Y Axis

e yy = \frac{M y}{P}

How to Evaluate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis evaluator uses Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column to evaluate the Moment of Inertia about y-y axis, The Moment of Inertia about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of an object's resistance to changes in its rotation, providing a way to quantify the distribution of mass within an object and its effect on the bending stress around the y-y axis. Moment of Inertia about y-y axis is denoted by I_yy symbol.

How to evaluate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis using this online evaluator? To use this online evaluator for Moment of Inertia about y-y Axis given Bending Stress about y-y Axis, enter Moment of Load about y-y axis (M_y), Distance of Load Point from y-axis (y) & Bending Stress in Column (σ_b) and hit the calculate button.

FAQs on Moment of Inertia about y-y Axis given Bending Stress about y-y Axis

What is the formula to find Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

The formula of Moment of Inertia about y-y Axis given Bending Stress about y-y Axis is expressed as Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column. Here is an example- 1.3E+18 = (6.4*0.008)/40000.

How to calculate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

With Moment of Load about y-y axis (M_y), Distance of Load Point from y-axis (y) & Bending Stress in Column (σ_b) we can find Moment of Inertia about y-y Axis given Bending Stress about y-y Axis using the formula - Moment of Inertia about y-y axis = (Moment of Load about y-y axis*Distance of Load Point from y-axis)/Bending Stress in Column.

Can the Moment of Inertia about y-y Axis given Bending Stress about y-y Axis be negative?

No, the Moment of Inertia about y-y Axis given Bending Stress about y-y Axis, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis 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 about y-y Axis given Bending Stress about y-y Axis can be measured.

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Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Formula

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Example

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Solution

Moment of Inertia about y-y Axis given Bending Stress about y-y Axis Formula Elements

Other formulas in Rectangular Section is Subjected to Load Eccentric to Both Axis category

How to Evaluate Moment of Inertia about y-y Axis given Bending Stress about y-y Axis?

FAQs on Moment of Inertia about y-y Axis given Bending Stress about y-y Axis

Variable Name