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Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Formula

GoBending Stress due to Eccentricity about x-x Axis Formula

GoBending Stress due to Eccentricity about x-x Axis given Eccentric Load on Column Formula

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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. Check FAQs

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

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

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Example

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

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

Here is how the Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column equation looks like.

6.7E-7 = \frac{7 \cdot 0.06 \cdot 8}{5E+9}

6.7E-7MPa = \frac{7kN \cdot 0.06mm \cdot 8mm}{5E+9mm⁴}

6.7E-7 = \frac{7 \cdot 0.06 \cdot 8}{5E+9}

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Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ b = \frac{7kN \cdot 0.06mm \cdot 8mm}{5E+9mm⁴}

Next Step Convert Units

∴

σ b = \frac{7000N \cdot 6E-5m \cdot 0.008m}{0.005m⁴}

Next Step Prepare to Evaluate

∴

σ b = \frac{7000 \cdot 6E-5 \cdot 0.008}{0.005}

Next Step Evaluate

∴

σ b = 0.672Pa

Next Step Convert to Output's Unit

∴

σ b = 6.72E-07MPa

LAST Step Rounding Answer

∴

σ b = 6.7E-7MPa

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Formula Elements

Variables

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

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

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

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

Other Formulas to find Bending Stress in Column

Go Bending Stress due to Eccentricity about x-x Axis

σ b = \frac{M x \cdot x}{I xx}

Go Bending Stress due to Eccentricity about x-x Axis given Eccentric Load on Column

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

Go Bending Stress due to Eccentricity about y-y Axis

σ b = \frac{M y \cdot y}{I yy}

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 Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column?

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column evaluator uses Bending Stress in Column = (Eccentric Load on Column*Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)/(Moment of Inertia about y-y axis) to evaluate the Bending Stress in Column, The Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column formula is defined as the maximum stress that occurs in a column when an eccentric load is applied, causing the column to bend and resulting in a combination of compressive and tensile stresses. Bending Stress in Column is denoted by σ_b symbol.

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

FAQs on Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column

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

The formula of Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column is expressed as Bending Stress in Column = (Eccentric Load on Column*Eccentricity of Load about y-y axis*Distance of Load Point from y-axis)/(Moment of Inertia about y-y axis). Here is an example- 6.7E-13 = (7000*6E-05*0.008)/(0.005).

How to calculate Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column?

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

What are the other ways to Calculate Bending Stress in Column?

Here are the different ways to Calculate Bending Stress in Column-

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

Can the Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column be negative?

No, the Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column, measured in Pressure cannot be negative.

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

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column can be measured.

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Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Formula

​GoBending Stress due to Eccentricity about x-x Axis Formula

​GoBending Stress due to Eccentricity about x-x Axis given Eccentric Load on Column Formula

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Example

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Solution

Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column Formula Elements

Other Formulas to find Bending Stress in Column

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

How to Evaluate Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column?

FAQs on Bending Stress due to Eccentricity about y-y Axis given Eccentric Load on Column

Variable Name

GoBending Stress due to Eccentricity about x-x Axis Formula

GoBending Stress due to Eccentricity about x-x Axis given Eccentric Load on Column Formula