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

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✖Length of Push Rod is the size of the push rod from one end to another end (how long the rod is).ⓘ Length of Push Rod [l]			+10% -10%
✖Constant used in buckling load formula is a constant used in the calculation of critical buckling load in a member.ⓘ Constant used in Buckling Load Formula [a]			+10% -10%
✖Stress in Push Rod is defined as the force per unit area within the push rod material that arises due to the externally applied forces onto it.ⓘ Stress in Push Rod [σ_c]			+10% -10%
✖Cross Sectional Area of Push Rod is the area of the section of the pushrod when it is along perpendicular to its length.ⓘ Cross Sectional Area of Push Rod [A_rod]			+10% -10%
✖Force on Push Rod is defined as the force (a push or pull on the pushrod resulting from its interaction with another part) that is acting onto the pushrod.ⓘ Force on Push Rod [P]			+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 Engine Push Rod given Stress, Force and Cross Section Area [k_G]

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Formula

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

Formula

`"k"_{"G"} = sqrt((("l"^2)*"a")/((("σ"_{"c"}*"A"_{"rod"})/"P")-1))`

Example

`"2.330415mm"=sqrt(((("70mm")^2)*"0.000133")/((("12N/mm²"*"42mm²")/"450N")-1))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
k_G = sqrt(((l^2)*a)/(((σ_c*A_rod)/P)-1))
This formula uses 1 Functions, 6 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.
Length of Push Rod - (Measured in Meter) - Length of Push Rod is the size of the push rod from one end to another end (how long the rod is).
Constant used in Buckling Load Formula - Constant used in buckling load formula is a constant used in the calculation of critical buckling load in a member.
Stress in Push Rod - (Measured in Pascal) - Stress in Push Rod is defined as the force per unit area within the push rod material that arises due to the externally applied forces onto it.
Cross Sectional Area of Push Rod - (Measured in Square Meter) - Cross Sectional Area of Push Rod is the area of the section of the pushrod when it is along perpendicular to its length.
Force on Push Rod - (Measured in Newton) - Force on Push Rod is defined as the force (a push or pull on the pushrod resulting from its interaction with another part) that is acting onto the pushrod.

STEP 1: Convert Input(s) to Base Unit

Length of Push Rod: 70 Millimeter --> 0.07 Meter (Check conversion here)
Constant used in Buckling Load Formula: 0.000133 --> No Conversion Required
Stress in Push Rod: 12 Newton per Square Millimeter --> 12000000 Pascal (Check conversion here)
Cross Sectional Area of Push Rod: 42 Square Millimeter --> 4.2E-05 Square Meter (Check conversion here)
Force on Push Rod: 450 Newton --> 450 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k_G = sqrt(((l^2)*a)/(((σ_c*A_rod)/P)-1)) --> sqrt(((0.07^2)*0.000133)/(((12000000*4.2E-05)/450)-1))

Evaluating ... ...

k_G = 0.00233041484146779

STEP 3: Convert Result to Output's Unit

0.00233041484146779 Meter -->2.33041484146779 Millimeter (Check conversion here)

FINAL ANSWER

2.33041484146779 ≈ 2.330415 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 Engine Push Rod given Stress, Force and Cross Section Area

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Created by Saurabh Patil

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

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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 Engine Push Rod given Stress, Force and Cross Section Area Formula

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 Engine Push Rod given Stress, Force and Cross Section Area?

Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area calculator uses 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)) to calculate the Radius of Gyration of Push Rod, Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area 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 Engine Push Rod given Stress, Force and Cross Section Area using this online calculator? To use this online calculator for Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area, enter Length of Push Rod (l), Constant used in Buckling Load Formula (a), Stress in Push Rod (σ_c), Cross Sectional Area of Push Rod (A_rod) & Force on Push Rod (P) and hit the calculate button. Here is how the Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area calculation can be explained with given input values -> 2330.415 = sqrt(((0.07^2)*0.000133)/(((12000000*4.2E-05)/450)-1)).

FAQ

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

Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area 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(((l^2)*a)/(((σ_c*A_rod)/P)-1)) or 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)). Length of Push Rod is the size of the push rod from one end to another end (how long the rod is), Constant used in buckling load formula is a constant used in the calculation of critical buckling load in a member, Stress in Push Rod is defined as the force per unit area within the push rod material that arises due to the externally applied forces onto it, Cross Sectional Area of Push Rod is the area of the section of the pushrod when it is along perpendicular to its length & Force on Push Rod is defined as the force (a push or pull on the pushrod resulting from its interaction with another part) that is acting onto the pushrod.

How to calculate Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area?

Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area 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(((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)). To calculate Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area, you need Length of Push Rod (l), Constant used in Buckling Load Formula (a), Stress in Push Rod (σ_c), Cross Sectional Area of Push Rod (A_rod) & Force on Push Rod (P). With our tool, you need to enter the respective value for Length of Push Rod, Constant used in Buckling Load Formula, Stress in Push Rod, Cross Sectional Area of Push Rod & Force on 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 Length of Push Rod, Constant used in Buckling Load Formula, Stress in Push Rod, Cross Sectional Area of Push Rod & Force on 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((Outer Diameter of Push Rod^2+Inner Diameter of Push Rod^2)/16)

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