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Moment of Inertia of all Welds given Bending Moment Formula

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Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis. Check FAQs

I = M b \cdot \frac{y}{σ b}

I - Moment of Inertia of Weld about Neutral Axis?M_b - Bending Moment in Welded Joint?y - Distance of Point in Weld to Neutral Axis?σ_b - Bending Stress in Welded Joint?

Moment of Inertia of all Welds given Bending Moment Example

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Here is how the Moment of Inertia of all Welds given Bending Moment equation looks like with Values.

Here is how the Moment of Inertia of all Welds given Bending Moment equation looks like with Units.

Here is how the Moment of Inertia of all Welds given Bending Moment equation looks like.

1.5E+6 = 985000 \cdot \frac{200}{130}

1.5E+6mm⁴ = 985000N*mm \cdot \frac{200mm}{130N/mm²}

1.5E+6 = 985000 \cdot \frac{200}{130}

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Moment of Inertia of all Welds given Bending Moment Solution

Follow our step by step solution on how to calculate Moment of Inertia of all Welds given Bending Moment?

FIRST Step Consider the formula

I = M b \cdot \frac{y}{σ b}

Next Step Substitute values of Variables

∴

I = 985000N*mm \cdot \frac{200mm}{130N/mm²}

Next Step Convert Units

∴

I = 985N*m \cdot \frac{0.2m}{1.3E+8Pa}

Next Step Prepare to Evaluate

∴

I = 985 \cdot \frac{0.2}{1.3E+8}

Next Step Evaluate

∴

I = 1.51538461538462E-06m⁴

Next Step Convert to Output's Unit

∴

I = 1515384.61538462mm⁴

LAST Step Rounding Answer

∴

I = 1.5E+6mm⁴

Moment of Inertia of all Welds given Bending Moment Formula Elements

Variables

Moment of Inertia of Weld about Neutral Axis

Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Weld about Neutral Axis

Bending Moment in Welded Joint

Bending moment in welded joint is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Welded Joint

Distance of Point in Weld to Neutral Axis

Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Point in Weld to Neutral Axis

Bending Stress in Welded Joint

Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Welded Joint

Other formulas in Welded Joints Subjected to Bending Moment category

Go Primary Shear Stress-induced due to Eccentric Load

τ 1 = \frac{W}{A}

Go Bending Stress Caused Due to Bending Moment

σ b = M b \cdot \frac{y}{I}

Go Bending Moment given Bending Stress

M b = I \cdot \frac{σ b}{y}

Go Distance of Point in Weld from Neutral Axis given Bending Stress in Weld

y = I \cdot \frac{σ b}{M b}

How to Evaluate Moment of Inertia of all Welds given Bending Moment?

Moment of Inertia of all Welds given Bending Moment evaluator uses Moment of Inertia of Weld about Neutral Axis = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Bending Stress in Welded Joint to evaluate the Moment of Inertia of Weld about Neutral Axis, The Moment of Inertia of all Welds given Bending Moment formula is defined as a quantitative measure of the rotational inertia of a body. Moment of Inertia of Weld about Neutral Axis is denoted by I symbol.

How to evaluate Moment of Inertia of all Welds given Bending Moment using this online evaluator? To use this online evaluator for Moment of Inertia of all Welds given Bending Moment, enter Bending Moment in Welded Joint (M_b), Distance of Point in Weld to Neutral Axis (y) & Bending Stress in Welded Joint (σ_b) and hit the calculate button.

FAQs on Moment of Inertia of all Welds given Bending Moment

What is the formula to find Moment of Inertia of all Welds given Bending Moment?

The formula of Moment of Inertia of all Welds given Bending Moment is expressed as Moment of Inertia of Weld about Neutral Axis = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Bending Stress in Welded Joint. Here is an example- 1.5E+18 = 985*0.2/130000000.

How to calculate Moment of Inertia of all Welds given Bending Moment?

With Bending Moment in Welded Joint (M_b), Distance of Point in Weld to Neutral Axis (y) & Bending Stress in Welded Joint (σ_b) we can find Moment of Inertia of all Welds given Bending Moment using the formula - Moment of Inertia of Weld about Neutral Axis = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Bending Stress in Welded Joint.

Can the Moment of Inertia of all Welds given Bending Moment be negative?

No, the Moment of Inertia of all Welds given Bending Moment, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia of all Welds given Bending Moment?

Moment of Inertia of all Welds given Bending Moment 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 of all Welds given Bending Moment can be measured.

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Moment of Inertia of all Welds given Bending Moment Formula

Moment of Inertia of all Welds given Bending Moment Example

Moment of Inertia of all Welds given Bending Moment Solution

Moment of Inertia of all Welds given Bending Moment Formula Elements

Other formulas in Welded Joints Subjected to Bending Moment category

How to Evaluate Moment of Inertia of all Welds given Bending Moment?

FAQs on Moment of Inertia of all Welds given Bending Moment

Variable Name