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Radius of Gyration in Eccentric Loading Formula

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The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass. Check FAQs

k G = \sqrt{\frac{I}{A cs}}

k_G - Radius of Gyration?I - Moment of Inertia?A_cs - Cross-Sectional Area?

Radius of Gyration in Eccentric Loading Example

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Here is how the Radius of Gyration in Eccentric Loading equation looks like with Values.

Here is how the Radius of Gyration in Eccentric Loading equation looks like with Units.

Here is how the Radius of Gyration in Eccentric Loading equation looks like.

0.2942 = \sqrt{\frac{1.125}{13}}

0.2942mm = \sqrt{\frac{1.125kg·m²}{13m²}}

0.2942 = \sqrt{\frac{1.125}{13}}

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Radius of Gyration in Eccentric Loading Solution

Follow our step by step solution on how to calculate Radius of Gyration in Eccentric Loading?

FIRST Step Consider the formula

k G = \sqrt{\frac{I}{A cs}}

Next Step Substitute values of Variables

∴

k G = \sqrt{\frac{1.125kg·m²}{13m²}}

Next Step Prepare to Evaluate

∴

k G = \sqrt{\frac{1.125}{13}}

Next Step Evaluate

∴

k G = 0.000294174202707276m

Next Step Convert to Output's Unit

∴

k G = 0.294174202707276mm

LAST Step Rounding Answer

∴

k G = 0.2942mm

Radius of Gyration in Eccentric Loading Formula Elements

Variables

Functions

Radius of Gyration

The radius of gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

Symbol: k_G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Cross-Sectional Area

Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area

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 in Eccentric Loading category

Go Total Unit Stress in Eccentric Loading

f = (\frac{P}{A cs}) + (P \cdot c \cdot \frac{e}{I neutral})

Go Cross-Sectional Area given Total Unit Stress in Eccentric Loading

A cs = \frac{P}{f - ((P \cdot c \cdot \frac{e}{I neutral}))}

Go Moment of Inertia of Cross-Section given Total Unit Stress in Eccentric Loading

I neutral = \frac{P \cdot c \cdot e}{f - (\frac{P}{A cs})}

Go Moment of Inertia given Radius of Gyration in Eccentric Loading

I = ({k G}^{2}) \cdot A cs

How to Evaluate Radius of Gyration in Eccentric Loading?

Radius of Gyration in Eccentric Loading evaluator uses Radius of Gyration = sqrt(Moment of Inertia/Cross-Sectional Area) to evaluate the Radius of Gyration, The Radius of Gyration in Eccentric Loading formula is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass. Radius of Gyration is denoted by k_G symbol.

How to evaluate Radius of Gyration in Eccentric Loading using this online evaluator? To use this online evaluator for Radius of Gyration in Eccentric Loading, enter Moment of Inertia (I) & Cross-Sectional Area (A_cs) and hit the calculate button.

FAQs on Radius of Gyration in Eccentric Loading

What is the formula to find Radius of Gyration in Eccentric Loading?

The formula of Radius of Gyration in Eccentric Loading is expressed as Radius of Gyration = sqrt(Moment of Inertia/Cross-Sectional Area). Here is an example- 294.1742 = sqrt(1.125/13).

How to calculate Radius of Gyration in Eccentric Loading?

With Moment of Inertia (I) & Cross-Sectional Area (A_cs) we can find Radius of Gyration in Eccentric Loading using the formula - Radius of Gyration = sqrt(Moment of Inertia/Cross-Sectional Area). This formula also uses Square Root (sqrt) function(s).

Can the Radius of Gyration in Eccentric Loading be negative?

No, the Radius of Gyration in Eccentric Loading, measured in Length cannot be negative.

Which unit is used to measure Radius of Gyration in Eccentric Loading?

Radius of Gyration in Eccentric Loading 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 in Eccentric Loading can be measured.

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Radius of Gyration in Eccentric Loading Formula

Radius of Gyration in Eccentric Loading Example

Radius of Gyration in Eccentric Loading Solution

Radius of Gyration in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Radius of Gyration in Eccentric Loading?

FAQs on Radius of Gyration in Eccentric Loading

Variable Name