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Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Formula

GoArea Moment of Inertia of Cross Section of Rocker Arm Formula

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Area Moment of Inertia of Rocker Arm shows how its points are dispersed in an arbitrary axis in the cross-sectional plane. This property basically characterizes the deflection of the plane. Check FAQs

I = 3 \cdot b web \cdot \frac{M ba}{σ b}

I - Area Moment of Inertia of Rocker Arm?b_web - Thickness of Rocker Arm Web?M_ba - Bending Moment in Rocker Arm?σ_b - Bending Stress in Rocker Arm?

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Example

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Here is how the Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment equation looks like with Values.

Here is how the Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment equation looks like with Units.

Here is how the Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment equation looks like.

595384.6154 = 3 \cdot 8.6 \cdot \frac{300000}{13}

595384.6154mm⁴ = 3 \cdot 8.6mm \cdot \frac{300000N*mm}{13N/mm²}

595384.6154 = 3 \cdot 8.6 \cdot \frac{300000}{13}

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Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Solution

Follow our step by step solution on how to calculate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

FIRST Step Consider the formula

I = 3 \cdot b web \cdot \frac{M ba}{σ b}

Next Step Substitute values of Variables

∴

I = 3 \cdot 8.6mm \cdot \frac{300000N*mm}{13N/mm²}

Next Step Convert Units

∴

I = 3 \cdot 0.0086m \cdot \frac{300N*m}{1.3E+7Pa}

Next Step Prepare to Evaluate

∴

I = 3 \cdot 0.0086 \cdot \frac{300}{1.3E+7}

Next Step Evaluate

∴

I = 5.95384615384615E-07m⁴

Next Step Convert to Output's Unit

∴

I = 595384.615384615mm⁴

LAST Step Rounding Answer

∴

I = 595384.6154mm⁴

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Formula Elements

Variables

Area Moment of Inertia of Rocker Arm

Area Moment of Inertia of Rocker Arm shows how its points are dispersed in an arbitrary axis in the cross-sectional plane. This property basically characterizes the deflection of the plane.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia of Rocker Arm

Thickness of Rocker Arm Web

Thickness of Rocker Arm Web is the measurement of how thick is the web of the rocker arm's cross section.

Symbol: b_web

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Rocker Arm Web

Bending Moment in Rocker Arm

Bending Moment in Rocker Arm is the amount of bending moment in the rocker arm (changes radial movement into linear movement) of any assembly.

Symbol: M_ba

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Rocker Arm

Bending Stress in Rocker Arm

Bending Stress in Rocker Arm is the amount of bending stress generated in the plane of the rocker arm of any assembly and tends to bend the arm.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Rocker Arm

Other Formulas to find Area Moment of Inertia of Rocker Arm

Go Area Moment of Inertia of Cross Section of Rocker Arm

I = 37 \cdot {b web}^{4}

Other formulas in Design of Cross Section of Rocker Arm category

Go Diameter of Fulcrum Pin of Rocker Arm given Outside Diameter of Boss at Fulcrum Pin

d 1 = \frac{D o}{2}

Go Bending Moment in Rocker Arm near Boss of Rocker Arm at Fulcrum Pin

M ba = P e \cdot (a - d 1)

Go Length of Rocker Arm of Exhaust Valve Side

a = \frac{M ba}{P e} + d 1

Go Diameter of Fulcrum Pin of Rocker Arm given Bending Moment near Boss of Rocker Arm

d 1 = a - \frac{M ba}{P e}

How to Evaluate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment evaluator uses Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm to evaluate the Area Moment of Inertia of Rocker Arm, The Area Moment of inertia of cross section of rocker arm given bending stress and moment is a measure of how the points of the rocker arm are dispersed in an arbitrary axis in the cross-sectional plane. This property basically characterizes the deflection of the plane when a bending load is applied or due to a bending moment. Area Moment of Inertia of Rocker Arm is denoted by I symbol.

How to evaluate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment using this online evaluator? To use this online evaluator for Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment, enter Thickness of Rocker Arm Web (b_web), Bending Moment in Rocker Arm (M_ba) & Bending Stress in Rocker Arm (σ_b) and hit the calculate button.

FAQs on Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment

What is the formula to find Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

The formula of Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment is expressed as Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm. Here is an example- 6E+17 = 3*0.0086*300/13000000.

How to calculate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

With Thickness of Rocker Arm Web (b_web), Bending Moment in Rocker Arm (M_ba) & Bending Stress in Rocker Arm (σ_b) we can find Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment using the formula - Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm.

What are the other ways to Calculate Area Moment of Inertia of Rocker Arm?

Here are the different ways to Calculate Area Moment of Inertia of Rocker Arm-

Area Moment of Inertia of Rocker Arm=37*Thickness of Rocker Arm Web^4

Can the Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment be negative?

No, the Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment can be measured.

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Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Formula

​GoArea Moment of Inertia of Cross Section of Rocker Arm Formula

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Example

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Solution

Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment Formula Elements

Other Formulas to find Area Moment of Inertia of Rocker Arm

Other formulas in Design of Cross Section of Rocker Arm category

How to Evaluate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

FAQs on Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment

Variable Name

GoArea Moment of Inertia of Cross Section of Rocker Arm Formula