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Moment of Inertia given Radius of Gyration in Eccentric Loading Formula

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

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

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

Moment of Inertia given Radius of Gyration in Eccentric Loading Example

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

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

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

1.0933 = ({0.29}^{2}) \cdot 13

1.0933kg·m² = ({0.29mm}^{2}) \cdot 13m²

1.0933 = ({0.29}^{2}) \cdot 13

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Moment of Inertia given Radius of Gyration in Eccentric Loading Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I = ({0.29mm}^{2}) \cdot 13m²

Next Step Prepare to Evaluate

∴

I = ({0.29}^{2}) \cdot 13

LAST Step Evaluate

∴

I = 1.0933kg·m²

Moment of Inertia given Radius of Gyration in Eccentric Loading Formula Elements

Variables

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

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

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

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 Radius of Gyration in Eccentric Loading

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

How to Evaluate Moment of Inertia given Radius of Gyration in Eccentric Loading?

Moment of Inertia given Radius of Gyration in Eccentric Loading evaluator uses Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area to evaluate the Moment of Inertia, Moment of Inertia given Radius of Gyration in Eccentric Loading formula is a quantity expressing a body's tendency to resist angular acceleration. Moment of Inertia is denoted by I symbol.

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

FAQs on Moment of Inertia given Radius of Gyration in Eccentric Loading

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

The formula of Moment of Inertia given Radius of Gyration in Eccentric Loading is expressed as Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area. Here is an example- 117 = (0.00029^2)*13.

How to calculate Moment of Inertia given Radius of Gyration in Eccentric Loading?

With Radius of Gyration (k_G) & Cross-Sectional Area (A_cs) we can find Moment of Inertia given Radius of Gyration in Eccentric Loading using the formula - Moment of Inertia = (Radius of Gyration^2)*Cross-Sectional Area.

Can the Moment of Inertia given Radius of Gyration in Eccentric Loading be negative?

No, the Moment of Inertia given Radius of Gyration in Eccentric Loading, measured in Moment of Inertia cannot be negative.

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

Moment of Inertia given Radius of Gyration in Eccentric Loading is usually measured using the Kilogram Square Meter[kg·m²] for Moment of Inertia. Kilogram Square Centimeter[kg·m²], Kilogram Square Millimeter[kg·m²], Gram Square Centimeter[kg·m²] are the few other units in which Moment of Inertia given Radius of Gyration in Eccentric Loading can be measured.

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Moment of Inertia given Radius of Gyration in Eccentric Loading Formula

Moment of Inertia given Radius of Gyration in Eccentric Loading Example

Moment of Inertia given Radius of Gyration in Eccentric Loading Solution

Moment of Inertia given Radius of Gyration in Eccentric Loading Formula Elements

Other formulas in Eccentric Loading category

How to Evaluate Moment of Inertia given Radius of Gyration in Eccentric Loading?

FAQs on Moment of Inertia given Radius of Gyration in Eccentric Loading

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