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Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Formula

GoEccentricity of Load about Y-Y Axis Formula

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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. Check FAQs

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

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

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Example

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Here is how the Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis equation looks like with Values.

Here is how the Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis equation looks like with Units.

Here is how the Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis equation looks like.

3571.4286 = \frac{0.04 \cdot 5E+9}{7 \cdot 8}

3571.4286mm = \frac{0.04MPa \cdot 5E+9mm⁴}{7kN \cdot 8mm}

3571.4286 = \frac{0.04 \cdot 5E+9}{7 \cdot 8}

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Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

e yy = \frac{0.04MPa \cdot 5E+9mm⁴}{7kN \cdot 8mm}

Next Step Convert Units

∴

e yy = \frac{40000Pa \cdot 0.005m⁴}{7000N \cdot 0.008m}

Next Step Prepare to Evaluate

∴

e yy = \frac{40000 \cdot 0.005}{7000 \cdot 0.008}

Next Step Evaluate

∴

e yy = 3.57142857142857m

Next Step Convert to Output's Unit

∴

e yy = 3571.42857142857mm

LAST Step Rounding Answer

∴

e yy = 3571.4286mm

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Formula Elements

Variables

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

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

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

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 Eccentricity of Load about y-y axis

Go Eccentricity of Load about Y-Y Axis

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

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 Bending Stress due to Eccentricity about x-x Axis

σ b = \frac{M x \cdot x}{I xx}

How to Evaluate Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis evaluator uses Eccentricity of Load about y-y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*Distance of Load Point from y-axis) to evaluate the Eccentricity of Load about y-y axis, The Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis formula is defined as a measure of how much the load is offset from the y-y axis, which affects the bending stress in a structural element, and is a critical parameter in the design of beams and columns. Eccentricity of Load about y-y axis is denoted by e_yy symbol.

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

FAQs on Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis

What is the formula to find Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

The formula of Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis is expressed as Eccentricity of Load about y-y axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*Distance of Load Point from y-axis). Here is an example- 3.6E+6 = (40000*0.005)/(7000*0.008).

How to calculate Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

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

What are the other ways to Calculate Eccentricity of Load about y-y axis?

Here are the different ways to Calculate Eccentricity of Load about y-y axis-

Eccentricity of Load about y-y axis=Moment of Load about y-y axis/Eccentric Load on Column

Can the Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis be negative?

No, the Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis, measured in Length cannot be negative.

Which unit is used to measure Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis can be measured.

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Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Formula

​GoEccentricity of Load about Y-Y Axis Formula

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Example

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Solution

Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis Formula Elements

Other Formulas to find Eccentricity of Load about y-y axis

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

How to Evaluate Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis?

FAQs on Eccentricity of Load about y-y Axis given Bending Stress about y-y Axis

Variable Name

GoEccentricity of Load about Y-Y Axis Formula