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Distance of Load point from y-Axis given Bending Stress about y-y Axis Formula

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

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

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

Distance of Load point from y-Axis given Bending Stress about y-y Axis Example

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

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

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

476190.4762 = \frac{0.04 \cdot 5E+9}{7 \cdot 0.06}

476190.4762mm = \frac{0.04MPa \cdot 5E+9mm⁴}{7kN \cdot 0.06mm}

476190.4762 = \frac{0.04 \cdot 5E+9}{7 \cdot 0.06}

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Distance of Load point from y-Axis given Bending Stress about y-y Axis Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y = \frac{0.04MPa \cdot 5E+9mm⁴}{7kN \cdot 0.06mm}

Next Step Convert Units

∴

y = \frac{40000Pa \cdot 0.005m⁴}{7000N \cdot 6E-5m}

Next Step Prepare to Evaluate

∴

y = \frac{40000 \cdot 0.005}{7000 \cdot 6E-5}

Next Step Evaluate

∴

y = 476.190476190476m

Next Step Convert to Output's Unit

∴

y = 476190.476190476mm

LAST Step Rounding Answer

∴

y = 476190.4762mm

Distance of Load point from y-Axis given Bending Stress about y-y Axis Formula Elements

Variables

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

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

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

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 Distance of Load point from y-Axis given Bending Stress about y-y Axis?

Distance of Load point from y-Axis given Bending Stress about y-y Axis evaluator uses Distance of Load Point from y-axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*Eccentricity of Load about y-y axis) to evaluate the Distance of Load Point from y-axis, The Distance of Load point from y-Axis given Bending Stress about y-y Axis formula is defined as the distance from the load point to the y-axis, which is a critical parameter in determining the bending stress about the y-y axis in a structural member, and is essential in mechanical engineering and structural analysis to ensure the safety and stability of the structure. Distance of Load Point from y-axis is denoted by y symbol.

How to evaluate Distance of Load point from y-Axis given Bending Stress about y-y Axis using this online evaluator? To use this online evaluator for Distance of Load point from 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) & Eccentricity of Load about y-y axis (e_yy) and hit the calculate button.

FAQs on Distance of Load point from y-Axis given Bending Stress about y-y Axis

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

The formula of Distance of Load point from y-Axis given Bending Stress about y-y Axis is expressed as Distance of Load Point from y-axis = (Bending Stress in Column*Moment of Inertia about y-y axis)/(Eccentric Load on Column*Eccentricity of Load about y-y axis). Here is an example- 4.8E+8 = (40000*0.005)/(7000*6E-05).

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

Can the Distance of Load point from y-Axis given Bending Stress about y-y Axis be negative?

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

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

Distance of Load point from 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 Distance of Load point from y-Axis given Bending Stress about y-y Axis can be measured.

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Distance of Load point from y-Axis given Bending Stress about y-y Axis Formula

Distance of Load point from y-Axis given Bending Stress about y-y Axis Example

Distance of Load point from y-Axis given Bending Stress about y-y Axis Solution

Distance of Load point from y-Axis given Bending Stress about y-y Axis Formula Elements

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

How to Evaluate Distance of Load point from y-Axis given Bending Stress about y-y Axis?

FAQs on Distance of Load point from y-Axis given Bending Stress about y-y Axis

Variable Name