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))
kG = sqrt(((l^2)*a)/(((σc*Ar)/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: 86.7 Millimeter --> 0.0867 Meter (Check conversion ​here)
Constant used in Buckling Load Formula: 0.000133 --> No Conversion Required
Stress in Push Rod: 12.5 Newton per Square Millimeter --> 12500000 Pascal (Check conversion ​here)
Cross Sectional Area of Push Rod: 40 Square Millimeter --> 4E-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
kG = sqrt(((l^2)*a)/(((σc*Ar)/P)-1)) --> sqrt(((0.0867^2)*0.000133)/(((12500000*4E-05)/450)-1))
Evaluating ... ...
kG = 0.00299961953087387
STEP 3: Convert Result to Output's Unit
0.00299961953087387 Meter -->2.99961953087387 Millimeter (Check conversion ​here)
FINAL ANSWER
2.99961953087387 2.99962 Millimeter <-- Radius of Gyration of Push Rod
(Calculation completed in 00.004 seconds)

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

​LaTeX ​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))
kG = sqrt(((l^2)*a)/(((σc*Ar)/P)-1))

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 kG 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 c), Cross Sectional Area of Push Rod (Ar) & 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 -> 3117.598 = sqrt(((0.0867^2)*0.000133)/(((12500000*4E-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 kG = sqrt(((l^2)*a)/(((σc*Ar)/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 c), Cross Sectional Area of Push Rod (Ar) & 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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