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

GoCross-Sectional Area given Radius of Gyration 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{P}{f - ((P \cdot c \cdot \frac{e}{I neutral}))}

A_cs - Cross-Sectional Area?P - Axial Load?f - Total Unit Stress?c - Outermost Fiber Distance?e - Distance from Load applied?I_neutral - Moment of Inertia about Neutral Axis?

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

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Here is how the Cross-Sectional Area given Total Unit Stress in Eccentric Loading equation looks like with Values.

Here is how the Cross-Sectional Area given Total Unit Stress in Eccentric Loading equation looks like with Units.

Here is how the Cross-Sectional Area given Total Unit Stress in Eccentric Loading equation looks like.

0.532 = \frac{9.99}{100 - ((9.99 \cdot 17 \cdot \frac{11}{23}))}

0.532m² = \frac{9.99kN}{100Pa - ((9.99kN \cdot 17mm \cdot \frac{11mm}{23kg·m²}))}

0.532 = \frac{9.99}{100 - ((9.99 \cdot 17 \cdot \frac{11}{23}))}

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

Follow our step by step solution on how to calculate Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{9.99kN}{100Pa - ((9.99kN \cdot 17mm \cdot \frac{11mm}{23kg·m²}))}

Next Step Prepare to Evaluate

∴

A cs = \frac{9.99}{100 - ((9.99 \cdot 17 \cdot \frac{11}{23}))}

Next Step Evaluate

∴

A cs = 0.532035103156043m²

LAST Step Rounding Answer

∴

A cs = 0.532m²

Cross-Sectional Area given Total Unit Stress 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

Axial Load

Axial Load is defined as applying a force on a structure directly along an axis of the structure.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Axial Load

Total Unit Stress

Total Unit Stress is defined as the the total force acting on unit area.

Symbol: f

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Total Unit Stress

Outermost Fiber Distance

Outermost Fiber Distance is defined as the distance in between the Neutral Axis and Outermost Fiber.

Symbol: c

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outermost Fiber Distance

Distance from Load applied

Distance from Load applied is defined as the length from which the load is applied.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Load applied

Moment of Inertia about Neutral Axis

Moment of Inertia about Neutral Axis is defined as the moment of inertia of the beam about its neutral axis.

Symbol: I_neutral

Measurement: Moment of InertiaUnit: kg·m²

Note: Value can be positive or negative.

Formulas to find Moment of Inertia about Neutral Axis

Other Formulas to find Cross-Sectional Area

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

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

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 Total Unit Stress in Eccentric Loading?

Cross-Sectional Area given Total Unit Stress in Eccentric Loading evaluator uses Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis))) to evaluate the Cross-Sectional Area, Cross-Sectional Area given Total Unit Stress in Eccentric Loading formula is defined as 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 Total Unit Stress in Eccentric Loading using this online evaluator? To use this online evaluator for Cross-Sectional Area given Total Unit Stress in Eccentric Loading, enter Axial Load (P), Total Unit Stress (f), Outermost Fiber Distance (c), Distance from Load applied (e) & Moment of Inertia about Neutral Axis (I_neutral) and hit the calculate button.

FAQs on Cross-Sectional Area given Total Unit Stress in Eccentric Loading

What is the formula to find Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

The formula of Cross-Sectional Area given Total Unit Stress in Eccentric Loading is expressed as Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis))). Here is an example- 100.0814 = 9990/(100-((9990*0.017*0.011/23))).

How to calculate Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

With Axial Load (P), Total Unit Stress (f), Outermost Fiber Distance (c), Distance from Load applied (e) & Moment of Inertia about Neutral Axis (I_neutral) we can find Cross-Sectional Area given Total Unit Stress in Eccentric Loading using the formula - Cross-Sectional Area = Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance from Load applied/Moment of Inertia about Neutral Axis))).

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

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

Cross-Sectional Area=Moment of Inertia/(Radius of Gyration^2)
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 Total Unit Stress in Eccentric Loading be negative?

No, the Cross-Sectional Area given Total Unit Stress in Eccentric Loading, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Total Unit Stress in Eccentric Loading?

Cross-Sectional Area given Total Unit Stress 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 Total Unit Stress in Eccentric Loading can be measured.

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

​GoCross-Sectional Area given Radius of Gyration in Eccentric Loading Formula

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

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

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

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

FAQs on Cross-Sectional Area given Total Unit Stress in Eccentric Loading

Variable Name

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

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