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Cross-Sectional Area given Radius of Gyration in Eccentric Loading Formula

GoCross-Sectional Area given Total Unit Stress in Eccentric Loading Formula

GoCross-Sectional Area given Total Stress is where Load doesn't lie on Plane Formula

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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. Check FAQs

A cs = \frac{I}{{k G}^{2}}

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

Cross-Sectional Area given Radius of Gyration in Eccentric Loading Example

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Here is how the Cross-Sectional Area given Radius of Gyration in Eccentric Loading equation looks like with Values.

Here is how the Cross-Sectional Area given Radius of Gyration in Eccentric Loading equation looks like with Units.

Here is how the Cross-Sectional Area given Radius of Gyration in Eccentric Loading equation looks like.

13.3769 = \frac{1.125}{{0.29}^{2}}

13.3769m² = \frac{1.125kg·m²}{{0.29mm}^{2}}

13.3769 = \frac{1.125}{{0.29}^{2}}

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Cross-Sectional Area given Radius of Gyration in Eccentric Loading Solution

Follow our step by step solution on how to calculate Cross-Sectional Area given Radius of Gyration in Eccentric Loading?

FIRST Step Consider the formula

A cs = \frac{I}{{k G}^{2}}

Next Step Substitute values of Variables

∴

A cs = \frac{1.125kg·m²}{{0.29mm}^{2}}

Next Step Prepare to Evaluate

∴

A cs = \frac{1.125}{{0.29}^{2}}

Next Step Evaluate

∴

A cs = 13.3769322235434m²

LAST Step Rounding Answer

∴

A cs = 13.3769m²

Cross-Sectional Area given Radius of Gyration in Eccentric Loading Formula Elements

Variables

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

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

Other Formulas to find Cross-Sectional Area

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 Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane

A cs = \frac{P}{σ total - ((\frac{e x \cdot P \cdot c x}{I y}) + (\frac{e y \cdot P \cdot c y}{I x}))}

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 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}}

Go Moment of Inertia given Radius of Gyration in Eccentric Loading

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

How to Evaluate Cross-Sectional Area given Radius of Gyration in Eccentric Loading?

Cross-Sectional Area given Radius of Gyration in Eccentric Loading evaluator uses Cross-Sectional Area = Moment of Inertia/(Radius of Gyration^2) to evaluate the Cross-Sectional Area, The Cross-Sectional Area given Radius of Gyration in Eccentric Loading formula is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced perpendicular to some specified axis at a point. Cross-Sectional Area is denoted by A_cs symbol.

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

FAQs on Cross-Sectional Area given Radius of Gyration in Eccentric Loading

What is the formula to find Cross-Sectional Area given Radius of Gyration in Eccentric Loading?

The formula of Cross-Sectional Area given Radius of Gyration in Eccentric Loading is expressed as Cross-Sectional Area = Moment of Inertia/(Radius of Gyration^2). Here is an example- 0.125 = 1.125/(0.00029^2).

How to calculate Cross-Sectional Area given Radius of Gyration in Eccentric Loading?

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

What are the other ways to Calculate Cross-Sectional Area?

Here are the different ways to Calculate Cross-Sectional Area-

Cross-Sectional Area=Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis)))
Cross-Sectional Area=Axial Load/(Total Stress-(((Eccentricity with respect to Principal Axis YY*Axial Load*Distance from YY to Outermost Fiber)/(Moment of Inertia about Y-Axis))+((Eccentricity with respect to Principal Axis XX*Axial Load*Distance from XX to Outermost Fiber)/(Moment of Inertia about X-Axis))))

Can the Cross-Sectional Area given Radius of Gyration in Eccentric Loading be negative?

No, the Cross-Sectional Area given Radius of Gyration in Eccentric Loading, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Radius of Gyration in Eccentric Loading?

Cross-Sectional Area given Radius of Gyration in Eccentric Loading is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross-Sectional Area given Radius of Gyration in Eccentric Loading can be measured.

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Cross-Sectional Area given Radius of Gyration in Eccentric Loading Formula

​GoCross-Sectional Area given Total Unit Stress in Eccentric Loading Formula

​GoCross-Sectional Area given Total Stress is where Load doesn't lie on Plane Formula

Cross-Sectional Area given Radius of Gyration in Eccentric Loading Example

Cross-Sectional Area given Radius of Gyration in Eccentric Loading Solution

Cross-Sectional Area given Radius of Gyration in Eccentric Loading Formula Elements

Other Formulas to find Cross-Sectional Area

Other formulas in Eccentric Loading category

How to Evaluate Cross-Sectional Area given Radius of Gyration in Eccentric Loading?

FAQs on Cross-Sectional Area given Radius of Gyration in Eccentric Loading

Variable Name

GoCross-Sectional Area given Total Unit Stress in Eccentric Loading Formula

GoCross-Sectional Area given Total Stress is where Load doesn't lie on Plane Formula