Moment of Inertia of Cross Section of Engine Push Rod Calculator

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✖Outer Diameter of Push Rod is the external diameter or the outside surface diameter of the push rod.ⓘ Outer Diameter of Push Rod [d_o]			+10% -10%
✖Inner Diameter of Push Rod is the internal diameter or the inside surface diameter of the push rod.ⓘ Inner Diameter of Push Rod [d_i]			+10% -10%

✖Area moment of inertia of push rod is defined as the second moment of inertia of the cross-section of the push rod without considering mass.ⓘ Moment of Inertia of Cross Section of Engine Push Rod [I_a]

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Formula

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Moment of Inertia of Cross Section of Engine Push Rod

Formula

`"I"_{"a"} = pi/64*("d"_{"o"}^4-"d"_{"i"}^4)`

Example

`"373.015mm⁴"=pi/64*(("10mm")^4-("7mm")^4)`

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Moment of Inertia of Cross Section of Engine Push Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4)
I_a = pi/64*(d_o^4-d_i^4)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area Moment of Inertia of Push Rod - (Measured in Meter⁴) - Area moment of inertia of push rod is defined as the second moment of inertia of the cross-section of the push rod without considering mass.
Outer Diameter of Push Rod - (Measured in Meter) - Outer Diameter of Push Rod is the external diameter or the outside surface diameter of the push rod.
Inner Diameter of Push Rod - (Measured in Meter) - Inner Diameter of Push Rod is the internal diameter or the inside surface diameter of the push rod.

STEP 1: Convert Input(s) to Base Unit

Outer Diameter of Push Rod: 10 Millimeter --> 0.01 Meter (Check conversion here)
Inner Diameter of Push Rod: 7 Millimeter --> 0.007 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_a = pi/64*(d_o^4-d_i^4) --> pi/64*(0.01^4-0.007^4)

Evaluating ... ...

I_a = 3.73015040228576E-10

STEP 3: Convert Result to Output's Unit

3.73015040228576E-10 Meter⁴ -->373.015040228576 Millimeter⁴ (Check conversion here)

FINAL ANSWER

373.015040228576 ≈ 373.015 Millimeter⁴ <-- Area Moment of Inertia of Push Rod

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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National Institute Of Technology (NIT), Hamirpur

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< 16 Push Rod Calculators

Force Acting on Engine Push Rod given its Dimensions and Stress Generated

Go Force on Push Rod = (Stress in Push Rod*pi/4*(Outer Diameter of Push Rod^2-Inner Diameter of Push Rod^2))/(1+Constant used in Buckling Load Formula*((Length of Push Rod^2)/((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16)))

Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area

Go Radius of Gyration of Push Rod = sqrt(((Length of Push Rod^2)*Constant used in Buckling Load Formula)/(((Stress in Push Rod*Cross Sectional Area of Push Rod)/Force on Push Rod)-1))

Actual Length of Engine Push Rod

Go Length of Push Rod = sqrt(Radius of Gyration of Push Rod^2/Constant used in Buckling Load Formula*((Stress in Push Rod*Cross Sectional Area of Push Rod)/Force on Push Rod-1))

Cross Section Area of Engine Push Rod given Force, Stress, and Radius of Gyration

Go Cross Sectional Area of Push Rod = (Force on Push Rod*(1+Constant used in Buckling Load Formula*(Length of Push Rod/Radius of Gyration of Push Rod)^2))/Stress in Push Rod

Compressive Stress in Engine Push Rod

Go Stress in Push Rod = (Force on Push Rod*(1+Constant used in Buckling Load Formula*(Length of Push Rod/Radius of Gyration of Push Rod)^2))/Cross Sectional Area of Push Rod

Force Acting on Engine Push Rod

Go Force on Push Rod = (Stress in Push Rod*Cross Sectional Area of Push Rod)/(1+Constant used in Buckling Load Formula*(Length of Push Rod/Radius of Gyration of Push Rod)^2)

Force Acting on Engine Push Rod Made of Steel

Go Force on Push Rod = (Stress in Push Rod*Cross Sectional Area of Push Rod)/(1+1/7500*(Length of Push Rod/Radius of Gyration of Push Rod)^2)

Moment of Inertia of Cross Section of Engine Push Rod

Go Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4)

Radius of Gyration of Cross Section of Engine Push Rod

Go Radius of Gyration of Push Rod = sqrt((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16)

Area of Cross Section of Engine Push Rod

Go Cross Sectional Area of Push Rod = pi/4*(Outer Diameter of Push Rod^2-Inner Diameter of Push Rod^2)

Outer Diameter of Engine Push Rod given Radius of Gyration

Go Outer Diameter of Push Rod = sqrt(16*Radius of Gyration of Push Rod^2-Inner Diameter of Push Rod^2)

Inner Diameter of Engine Push Rod given Radius of Gyration

Go Inner Diameter of Push Rod = sqrt(16*Radius of Gyration of Push Rod^2-Outer Diameter of Push Rod^2)

Minimum Inner Diameter of Engine Push Rod given Outer Diameter

Go Inner Diameter of Push Rod = 0.6*Outer Diameter of Push Rod

Maximum Inner Diameter of Engine Push Rod given Outer Diameter

Go Inner Diameter of Push Rod = 0.8*Outer Diameter of Push Rod

Maximum Outer Diameter of Engine Push Rod given Inner Diameter

Go Outer Diameter of Push Rod = Inner Diameter of Push Rod/0.6

Minimum Outer Diameter of Engine Push Rod given Inner Diameter

Go Outer Diameter of Push Rod = Inner Diameter of Push Rod/0.8

Moment of Inertia of Cross Section of Engine Push Rod Formula

Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4)
I_a = pi/64*(d_o^4-d_i^4)

Design of Push Rod

Push rods are used in overhead valve and side valve engines. It is a long column introduced between the cam and rocker arm so that the camshaft can be located at a lower level. The pushrods are made of bright drawn steel tubes with 4% carbon or duralumin tubes. The ends of the pushrod depend upon the general configuration of the valve gear mechanism. When the push rod is guided, the ends are flat plugs. When the pushrod is not guided, ball and socket joints are used at the ends. The flat plugs or sockets are force-fitted at the ends of the pushrod.

How to Calculate Moment of Inertia of Cross Section of Engine Push Rod?

Moment of Inertia of Cross Section of Engine Push Rod calculator uses Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4) to calculate the Area Moment of Inertia of Push Rod, Moment of inertia of cross section of engine push rod is defined as moment of inertia of the cross-sectional area about the centroidal axis without considering mass. Area Moment of Inertia of Push Rod is denoted by I_a symbol.

How to calculate Moment of Inertia of Cross Section of Engine Push Rod using this online calculator? To use this online calculator for Moment of Inertia of Cross Section of Engine Push Rod, enter Outer Diameter of Push Rod (d_o) & Inner Diameter of Push Rod (d_i) and hit the calculate button. Here is how the Moment of Inertia of Cross Section of Engine Push Rod calculation can be explained with given input values -> 3.7E+14 = pi/64*(0.01^4-0.007^4).

FAQ

What is Moment of Inertia of Cross Section of Engine Push Rod?

Moment of inertia of cross section of engine push rod is defined as moment of inertia of the cross-sectional area about the centroidal axis without considering mass and is represented as I_a = pi/64*(d_o^4-d_i^4) or Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4). Outer Diameter of Push Rod is the external diameter or the outside surface diameter of the push rod & Inner Diameter of Push Rod is the internal diameter or the inside surface diameter of the push rod.

How to calculate Moment of Inertia of Cross Section of Engine Push Rod?

Moment of inertia of cross section of engine push rod is defined as moment of inertia of the cross-sectional area about the centroidal axis without considering mass is calculated using Area Moment of Inertia of Push Rod = pi/64*(Outer Diameter of Push Rod^4-Inner Diameter of Push Rod^4). To calculate Moment of Inertia of Cross Section of Engine Push Rod, you need Outer Diameter of Push Rod (d_o) & Inner Diameter of Push Rod (d_i). With our tool, you need to enter the respective value for Outer Diameter of Push Rod & Inner Diameter of Push Rod and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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