Radius of Gyration 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%

✖Radius of Gyration of Push Rod is defined as the radial distance to a point that would have a moment of inertia the same as the rod's actual distribution of mass.ⓘ Radius of Gyration of Cross Section of Engine Push Rod [k_G]

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Formula

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Radius of Gyration of Cross Section of Engine Push Rod

Formula

`"k"_{"G"} = sqrt(("d"_{"o"}^2+"d"_{"i"}^2)/16)`

Example

`"3.051639mm"=sqrt((("10mm")^2+("7mm")^2)/16)`

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Radius of Gyration of Cross Section of Engine Push Rod Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Gyration of Push Rod = sqrt((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16)
k_G = sqrt((d_o^2+d_i^2)/16)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radius of Gyration of Push Rod - (Measured in Meter) - Radius of Gyration of Push Rod is defined as the radial distance to a point that would have a moment of inertia the same as the rod's actual distribution of 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

k_G = sqrt((d_o^2+d_i^2)/16) --> sqrt((0.01^2+0.007^2)/16)

Evaluating ... ...

k_G = 0.00305163890393343

STEP 3: Convert Result to Output's Unit

0.00305163890393343 Meter -->3.05163890393343 Millimeter (Check conversion here)

FINAL ANSWER

3.05163890393343 ≈ 3.051639 Millimeter <-- Radius of Gyration of Push Rod

(Calculation completed in 00.004 seconds)

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Home » Physics » IC Engine » Design of IC Engine Components » Push Rod » Radius of Gyration of Cross Section of Engine Push Rod

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Created by Saurabh Patil

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

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

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

Radius of Gyration of Cross Section of Engine Push Rod Formula

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

What is the function of a push rod?

Pushrods are long, slender metal rods that are used in overhead valve engines to transfer motion from the camshaft (located in the engine block) to the valves (located in the cylinder head). The bottom end of a pushrod is fitted with a lifter, upon which the camshaft makes contact.

How to Calculate Radius of Gyration of Cross Section of Engine Push Rod?

Radius of Gyration of Cross Section of Engine Push Rod calculator uses Radius of Gyration of Push Rod = sqrt((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16) to calculate the Radius of Gyration of Push Rod, Radius of gyration of cross section of engine push rod is defined as the radial distance to a point mass that would have the same moment of inertia as that of the pushrod's actual distribution of mass. Radius of Gyration of Push Rod is denoted by k_G symbol.

How to calculate Radius of Gyration of Cross Section of Engine Push Rod using this online calculator? To use this online calculator for Radius of Gyration 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 Radius of Gyration of Cross Section of Engine Push Rod calculation can be explained with given input values -> 3051.639 = sqrt((0.01^2+0.007^2)/16).

FAQ

What is Radius of Gyration of Cross Section of Engine Push Rod?

Radius of gyration of cross section of engine push rod is defined as the radial distance to a point mass that would have the same moment of inertia as that of the pushrod's actual distribution of mass and is represented as k_G = sqrt((d_o^2+d_i^2)/16) or Radius of Gyration of Push Rod = sqrt((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16). 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 Radius of Gyration of Cross Section of Engine Push Rod?

Radius of gyration of cross section of engine push rod is defined as the radial distance to a point mass that would have the same moment of inertia as that of the pushrod's actual distribution of mass is calculated using Radius of Gyration of Push Rod = sqrt((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16). To calculate Radius of Gyration 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.

How many ways are there to calculate Radius of Gyration of Push Rod?

In this formula, Radius of Gyration of Push Rod uses Outer Diameter of Push Rod & Inner Diameter of Push Rod. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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