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

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

GoCross-Sectional Area given Radius of Gyration in Eccentric Loading 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}{σ total - ((\frac{e x \cdot P \cdot c x}{I y}) + (\frac{e y \cdot P \cdot c y}{I x}))}

A_cs - Cross-Sectional Area?P - Axial Load?σ_total - Total Stress?e_x - Eccentricity with respect to Principal Axis YY?c_x - Distance from YY to Outermost Fiber?I_y - Moment of Inertia about Y-Axis?e_y - Eccentricity with respect to Principal Axis XX?c_y - Distance from XX to Outermost Fiber?I_x - Moment of Inertia about X-Axis?

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

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Here is how the Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane equation looks like with Values.

Here is how the Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane equation looks like with Units.

Here is how the Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane equation looks like.

13.2277 = \frac{9.99}{14.8 - ((\frac{4 \cdot 9.99 \cdot 15}{50}) + (\frac{0.75 \cdot 9.99 \cdot 14}{51}))}

13.2277m² = \frac{9.99kN}{14.8Pa - ((\frac{4 \cdot 9.99kN \cdot 15mm}{50kg·m²}) + (\frac{0.75 \cdot 9.99kN \cdot 14mm}{51kg·m²}))}

13.2277 = \frac{9.99}{14.8 - ((\frac{4 \cdot 9.99 \cdot 15}{50}) + (\frac{0.75 \cdot 9.99 \cdot 14}{51}))}

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

Follow our step by step solution on how to calculate Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane?

FIRST Step Consider the formula

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}))}

Next Step Substitute values of Variables

∴

A cs = \frac{9.99kN}{14.8Pa - ((\frac{4 \cdot 9.99kN \cdot 15mm}{50kg·m²}) + (\frac{0.75 \cdot 9.99kN \cdot 14mm}{51kg·m²}))}

Next Step Prepare to Evaluate

∴

A cs = \frac{9.99}{14.8 - ((\frac{4 \cdot 9.99 \cdot 15}{50}) + (\frac{0.75 \cdot 9.99 \cdot 14}{51}))}

Next Step Evaluate

∴

A cs = 13.2276657060519m²

LAST Step Rounding Answer

∴

A cs = 13.2277m²

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

Total Stress is defined as the force acting on the unit area of a material. The effect of stress on a body is named strain.

Symbol: σ_total

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Total Stress

Eccentricity with respect to Principal Axis YY

Eccentricity with respect to Principal Axis YY can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio.

Symbol: e_x

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eccentricity with respect to Principal Axis YY

Distance from YY to Outermost Fiber

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

Symbol: c_x

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from YY to Outermost Fiber

Moment of Inertia about Y-Axis

Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.

Symbol: I_y

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about Y-Axis

Eccentricity with respect to Principal Axis XX

Eccentricity with respect to Principal Axis XX can be defined as the locus of points whose distances to a point (the focus) and a line (the directrix) are in a constant ratio.

Symbol: e_y

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Eccentricity with respect to Principal Axis XX

Distance from XX to Outermost Fiber

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

Symbol: c_y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from XX to Outermost Fiber

Moment of Inertia about X-Axis

Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.

Symbol: I_x

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about X-Axis

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 Radius of Gyration in Eccentric Loading

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

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})}

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

Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane evaluator uses 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)))) to evaluate the Cross-Sectional Area, The Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane 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 Stress is where Load doesn't lie on Plane using this online evaluator? To use this online evaluator for Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane, enter Axial Load (P), Total Stress (σ_total), Eccentricity with respect to Principal Axis YY (e_x), Distance from YY to Outermost Fiber (c_x), Moment of Inertia about Y-Axis (I_y), Eccentricity with respect to Principal Axis XX (e_y), Distance from XX to Outermost Fiber (c_y) & Moment of Inertia about X-Axis (I_x) and hit the calculate button.

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

What is the formula to find Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane?

The formula of Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane is expressed as 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)))). Here is an example- 0.238111 = 9990/(14.8-(((4*9990*0.015)/(50))+((0.75*9990*0.014)/(51)))).

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

With Axial Load (P), Total Stress (σ_total), Eccentricity with respect to Principal Axis YY (e_x), Distance from YY to Outermost Fiber (c_x), Moment of Inertia about Y-Axis (I_y), Eccentricity with respect to Principal Axis XX (e_y), Distance from XX to Outermost Fiber (c_y) & Moment of Inertia about X-Axis (I_x) we can find Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane using the formula - 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)))).

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=Moment of Inertia/(Radius of Gyration^2)

Can the Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane be negative?

No, the Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane, measured in Area cannot be negative.

Which unit is used to measure Cross-Sectional Area given Total Stress is where Load doesn't lie on Plane?

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

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

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

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

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

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

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

Other Formulas to find Cross-Sectional Area

Other formulas in Eccentric Loading category

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

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

Variable Name

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

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