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

GoRadius of Gyration of Cross Section of Engine Push Rod Formula

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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. Check FAQs

k G = \sqrt{\frac{(l^{2}) \cdot a}{(\frac{σ c \cdot A r}{P}) - 1}}

k_G - Radius of Gyration of Push Rod?l - Length of Push Rod?a - Constant used in Buckling Load Formula?σ_c - Stress in Push Rod?A_r - Cross Sectional Area of Push Rod?P - Force on Push Rod?

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

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Here is how the Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area equation looks like with Values.

Here is how the Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area equation looks like with Units.

Here is how the Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area equation looks like.

2.9996 = \sqrt{\frac{({86.7}^{2}) \cdot 0.0001}{(\frac{12.5 \cdot 40}{450}) - 1}}

2.9996mm = \sqrt{\frac{({86.7mm}^{2}) \cdot 0.0001}{(\frac{12.5N/mm² \cdot 40mm²}{450N}) - 1}}

2.9996 = \sqrt{\frac{({86.7}^{2}) \cdot 0.0001}{(\frac{12.5 \cdot 40}{450}) - 1}}

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

Follow our step by step solution on how to calculate Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area?

FIRST Step Consider the formula

k G = \sqrt{\frac{(l^{2}) \cdot a}{(\frac{σ c \cdot A r}{P}) - 1}}

Next Step Substitute values of Variables

∴

k G = \sqrt{\frac{({86.7mm}^{2}) \cdot 0.0001}{(\frac{12.5N/mm² \cdot 40mm²}{450N}) - 1}}

Next Step Convert Units

∴

k G = \sqrt{\frac{({0.0867m}^{2}) \cdot 0.0001}{(\frac{1.3E+7Pa \cdot 4E-5m²}{450N}) - 1}}

Next Step Prepare to Evaluate

∴

k G = \sqrt{\frac{({0.0867}^{2}) \cdot 0.0001}{(\frac{1.3E+7 \cdot 4E-5}{450}) - 1}}

Next Step Evaluate

∴

k G = 0.00299961953087387m

Next Step Convert to Output's Unit

∴

k G = 2.99961953087387mm

LAST Step Rounding Answer

∴

k G = 2.9996mm

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

Variables

Functions

Radius of Gyration of Push Rod

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.

Symbol: k_G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration of Push Rod

Length of Push Rod

Length of Push Rod is the size of the push rod from one end to another end (how long the rod is).

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Push Rod

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.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Constant used in Buckling Load Formula

Stress in Push Rod

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.

Symbol: σ_c

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress in Push Rod

Cross Sectional Area of Push Rod

Cross Sectional Area of Push Rod is the area of the section of the pushrod when it is along perpendicular to its length.

Symbol: A_r

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Push Rod

Force on Push Rod

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.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force on Push Rod

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.

Syntax: sqrt(Number)

Other Formulas to find Radius of Gyration of Push Rod

Go Radius of Gyration of Cross Section of Engine Push Rod

k G = \sqrt{\frac{{d o}^{2} + {d i}^{2}}{16}}

Other formulas in Push Rod category

Go Minimum Inner Diameter of Engine Push Rod given Outer Diameter

d i = 0.6 \cdot d o

Go Maximum Inner Diameter of Engine Push Rod given Outer Diameter

d i = 0.8 \cdot d o

Go Maximum Outer Diameter of Engine Push Rod given Inner Diameter

d o = \frac{d i}{0.6}

Go Minimum Outer Diameter of Engine Push Rod given Inner Diameter

d o = \frac{d i}{0.8}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area using this online evaluator? To use this online evaluator 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_r) & Force on Push Rod (P) and hit the calculate button.

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

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

The formula of Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area is expressed as 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)). Here is an example- 3117.598 = sqrt(((0.0867^2)*0.000133)/(((12500000*4E-05)/450)-1)).

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

With 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_r) & Force on Push Rod (P) we can find Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Gyration of Push Rod?

Here are the different ways to Calculate Radius of Gyration of Push Rod-

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

Can the Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area be negative?

No, the Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area, measured in Length cannot be negative.

Which unit is used to measure 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 usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Gyration of Engine Push Rod given Stress, Force and Cross Section Area can be measured.

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

​GoRadius of Gyration of Cross Section of Engine Push Rod Formula

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

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

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

Other Formulas to find Radius of Gyration of Push Rod

Other formulas in Push Rod category

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

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

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GoRadius of Gyration of Cross Section of Engine Push Rod Formula