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Eccentric Load on Column given Bending Stress along y-y Axis Formula

GoEccentric Load on Column given Bending Stress along x-x Axis Formula

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Eccentric Load on Column is the load that causes direct stress as well as bending stress. Check FAQs

P = \frac{σ b \cdot I yy}{e yy \cdot y}

P - Eccentric Load on Column?σ_b - Bending Stress in Column?I_yy - Moment of Inertia about y-y axis?e_yy - Eccentricity of Load about y-y axis?y - Distance of Load Point from y-axis?

Eccentric Load on Column given Bending Stress along y-y Axis Example

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Here is how the Eccentric Load on Column given Bending Stress along y-y Axis equation looks like with Values.

Here is how the Eccentric Load on Column given Bending Stress along y-y Axis equation looks like with Units.

Here is how the Eccentric Load on Column given Bending Stress along y-y Axis equation looks like.

416666.6667 = \frac{0.04 \cdot 5E+9}{0.06 \cdot 8}

416666.6667kN = \frac{0.04MPa \cdot 5E+9mm⁴}{0.06mm \cdot 8mm}

416666.6667 = \frac{0.04 \cdot 5E+9}{0.06 \cdot 8}

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Eccentric Load on Column given Bending Stress along y-y Axis Solution

Follow our step by step solution on how to calculate Eccentric Load on Column given Bending Stress along y-y Axis?

FIRST Step Consider the formula

P = \frac{σ b \cdot I yy}{e yy \cdot y}

Next Step Substitute values of Variables

∴

P = \frac{0.04MPa \cdot 5E+9mm⁴}{0.06mm \cdot 8mm}

Next Step Convert Units

∴

P = \frac{40000Pa \cdot 0.005m⁴}{6E-5m \cdot 0.008m}

Next Step Prepare to Evaluate

∴

P = \frac{40000 \cdot 0.005}{6E-5 \cdot 0.008}

Next Step Evaluate

∴

P = 416666666.666667N

Next Step Convert to Output's Unit

∴

P = 416666.666666667kN

LAST Step Rounding Answer

∴

P = 416666.6667kN

Eccentric Load on Column given Bending Stress along y-y Axis Formula Elements

Variables

Eccentric Load on Column

Eccentric Load on Column is the load that causes direct stress as well as bending stress.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Eccentric Load on Column

Bending Stress in Column

Bending Stress in Column is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress in Column

Moment of Inertia about y-y axis

Moment of Inertia about y-y axis is defined as the quantity expressed by the body resisting angular acceleration.

Symbol: I_yy

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about y-y axis

Eccentricity of Load about y-y axis

The Eccentricity of load about y-y axis is the distance from the center of gravity of the column section to the center of gravity of the applied load.

Symbol: e_yy

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity of Load about y-y axis

Distance of Load Point from y-axis

Distance of Load Point from y-axis is a numerical measurement of how far apart objects or points are.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Load Point from y-axis

Other Formulas to find Eccentric Load on Column

Go Eccentric Load on Column given Bending Stress along x-x Axis

P = \frac{σ b \cdot I xx}{e xx \cdot x}

Other formulas in Rectangular Section is Subjected to Load Eccentric to Both Axis category

Go Moment of Load about x-x Axis

M x = P \cdot e xx

Go Eccentricity of Load about x-x Axis

e xx = \frac{M x}{P}

Go Moment of Load about y-y Axis

M y = P \cdot e yy

Go Eccentricity of Load about Y-Y Axis

e yy = \frac{M y}{P}

How to Evaluate Eccentric Load on Column given Bending Stress along y-y Axis?

Eccentric Load on Column given Bending Stress along y-y Axis evaluator uses Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis) to evaluate the Eccentric Load on Column, The Eccentric Load on Column given Bending Stress along y-y Axis formula is defined as a measure of the load applied at an eccentric distance from the central axis of a column, causing bending stress along the y-y axis, which affects the structural integrity of the column. Eccentric Load on Column is denoted by P symbol.

How to evaluate Eccentric Load on Column given Bending Stress along y-y Axis using this online evaluator? To use this online evaluator for Eccentric Load on Column given Bending Stress along y-y Axis, enter Bending Stress in Column (σ_b), Moment of Inertia about y-y axis (I_yy), Eccentricity of Load about y-y axis (e_yy) & Distance of Load Point from y-axis (y) and hit the calculate button.

FAQs on Eccentric Load on Column given Bending Stress along y-y Axis

What is the formula to find Eccentric Load on Column given Bending Stress along y-y Axis?

The formula of Eccentric Load on Column given Bending Stress along y-y Axis is expressed as Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis). Here is an example- 416.6667 = (40000*0.005)/(6E-05*0.008).

How to calculate Eccentric Load on Column given Bending Stress along y-y Axis?

With Bending Stress in Column (σ_b), Moment of Inertia about y-y axis (I_yy), Eccentricity of Load about y-y axis (e_yy) & Distance of Load Point from y-axis (y) we can find Eccentric Load on Column given Bending Stress along y-y Axis using the formula - Eccentric Load on Column = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentricity of Load about y-y axis*Distance of Load Point from y-axis).

What are the other ways to Calculate Eccentric Load on Column?

Here are the different ways to Calculate Eccentric Load on Column-

Eccentric Load on Column=(Bending Stress in Column*Moment of Inertia about x-x axis)/(Eccentricity of Load about x-x axis*Distance of Load Point from x-axis)

Can the Eccentric Load on Column given Bending Stress along y-y Axis be negative?

No, the Eccentric Load on Column given Bending Stress along y-y Axis, measured in Force cannot be negative.

Which unit is used to measure Eccentric Load on Column given Bending Stress along y-y Axis?

Eccentric Load on Column given Bending Stress along y-y Axis is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Eccentric Load on Column given Bending Stress along y-y Axis can be measured.

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Eccentric Load on Column given Bending Stress along y-y Axis Formula

​GoEccentric Load on Column given Bending Stress along x-x Axis Formula

Eccentric Load on Column given Bending Stress along y-y Axis Example

Eccentric Load on Column given Bending Stress along y-y Axis Solution

Eccentric Load on Column given Bending Stress along y-y Axis Formula Elements

Other Formulas to find Eccentric Load on Column

Other formulas in Rectangular Section is Subjected to Load Eccentric to Both Axis category

How to Evaluate Eccentric Load on Column given Bending Stress along y-y Axis?

FAQs on Eccentric Load on Column given Bending Stress along y-y Axis

Variable Name

GoEccentric Load on Column given Bending Stress along x-x Axis Formula