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

✖Thickness of Rocker Arm Web is the measurement of how thick is the web of the rocker arm's cross section.ⓘ Thickness of Rocker Arm Web [b_web]			+10% -10%
✖Bending Moment in Rocker Arm is the amount of bending moment in the rocker arm (changes radial movement into linear movement) of any assembly.ⓘ Bending Moment in Rocker Arm [M_barm]			+10% -10%
✖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.ⓘ Bending Stress in Rocker Arm [σ_b]			+10% -10%

✖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.ⓘ Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment [I]

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Formula

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

Formula

`"I" = 3*"b"_{"web"}*("M"_{"b"}"arm")/"σ"_{"b"}`

Example

`"595384.6mm⁴"=3*"8.6mm"*"300000N*mm"/"13N/mm²"`

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

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm
I = 3*b_web*M_barm/σ_b
This formula uses 4 Variables

Variables Used

Area Moment of Inertia of Rocker Arm - (Measured in Meter⁴) - 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.
Thickness of Rocker Arm Web - (Measured in Meter) - Thickness of Rocker Arm Web is the measurement of how thick is the web of the rocker arm's cross section.
Bending Moment in Rocker Arm - (Measured in Newton Meter) - Bending Moment in Rocker Arm is the amount of bending moment in the rocker arm (changes radial movement into linear movement) of any assembly.
Bending Stress in Rocker Arm - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Thickness of Rocker Arm Web: 8.6 Millimeter --> 0.0086 Meter (Check conversion here)
Bending Moment in Rocker Arm: 300000 Newton Millimeter --> 300 Newton Meter (Check conversion here)
Bending Stress in Rocker Arm: 13 Newton per Square Millimeter --> 13000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = 3*b_web*M_barm/σ_b --> 3*0.0086*300/13000000

Evaluating ... ...

I = 5.95384615384615E-07

STEP 3: Convert Result to Output's Unit

5.95384615384615E-07 Meter⁴ -->595384.615384615 Millimeter⁴ (Check conversion here)

FINAL ANSWER

595384.615384615 ≈ 595384.6 Millimeter⁴ <-- Area Moment of Inertia of Rocker Arm

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Rocker Arm » Design of Cross Section of Rocker Arm » Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment

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< 7 Design of Cross Section of Rocker Arm Calculators

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

Go Bending Moment in Rocker Arm = Total Force on Rocker Arm of Exhaust Valve*(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)

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

Go Diameter of Fulcrum Pin = Length of Rocker Arm on Exhaust Valve Side-Bending Moment in Rocker Arm/Total Force on Rocker Arm of Exhaust Valve

Length of Rocker Arm of Exhaust Valve Side

Go Length of Rocker Arm on Exhaust Valve Side = Bending Moment in Rocker Arm/Total Force on Rocker Arm of Exhaust Valve+Diameter of Fulcrum Pin

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

Go Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm

Bending Moment in Rocker Arm near Boss of Rocker Arm given Bending Stress

Go Bending Moment in Rocker Arm = (37*Bending Stress in Rocker Arm*Thickness of Rocker Arm Web^3)/3

Area Moment of Inertia of Cross Section of Rocker Arm

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

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

Go Diameter of Fulcrum Pin = Outside Diameter of Boss of Rocker Arm/2

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

Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm
I = 3*b_web*M_barm/σ_b

Crank Rocker Mechanism

Crank Rocker Mechanism is a four-bar linkage. In this linkage, the shortest link rotates fully while the other link pivoted to the fixed link oscillates. It is a Grashoff linkage for which the sum of the lengths of the shortest link and the largest link is less than the sum of the lengths of the other two links.
In the crank rocker mechanism, the link adjacent to the shortest link is fixed. The position of the other three links does not affect the nature of the mechanism.

How to Calculate 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 calculator 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 calculate 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 calculate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment using this online calculator? To use this online calculator 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_barm) & Bending Stress in Rocker Arm (σ_b) and hit the calculate button. Here is how the Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment calculation can be explained with given input values -> 6E+17 = 3*0.0086*300/13000000.

FAQ

What is Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment?

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 and is represented as I = 3*b_web*M_barm/σ_b or Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm. Thickness of Rocker Arm Web is the measurement of how thick is the web of the rocker arm's cross section, Bending Moment in Rocker Arm is the amount of bending moment in the rocker arm (changes radial movement into linear movement) of any assembly & 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.

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

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 is calculated using Area Moment of Inertia of Rocker Arm = 3*Thickness of Rocker Arm Web*Bending Moment in Rocker Arm/Bending Stress in Rocker Arm. To calculate Area Moment of Inertia of Cross Section of Rocker Arm given Bending Stress and Moment, you need Thickness of Rocker Arm Web (b_web), Bending Moment in Rocker Arm (M_barm) & Bending Stress in Rocker Arm (σ_b). With our tool, you need to enter the respective value for Thickness of Rocker Arm Web, Bending Moment in Rocker Arm & Bending Stress in Rocker Arm and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area Moment of Inertia of Rocker Arm?

In this formula, Area Moment of Inertia of Rocker Arm uses Thickness of Rocker Arm Web, Bending Moment in Rocker Arm & Bending Stress in Rocker Arm. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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