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Distance of Considered Section from Neutral Axis given Shear Stress in Flange Formula

GoDistance of Lower Edge of Flange from Neutral Axis Formula

GoDistance of Upper Edge of Flange from Neutral Axis Formula

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Distance from Neutral Axis is the distance of the considered layer from the neutral layer. Check FAQs

y = \sqrt{\frac{D^{2}}{2} - \frac{2 \cdot I}{F s} \cdot 𝜏 beam}

y - Distance from Neutral Axis?D - Outer Depth of I section?I - Moment of Inertia of Area of Section?F_s - Shear Force on Beam?𝜏_beam - Shear Stress in Beam?

Distance of Considered Section from Neutral Axis given Shear Stress in Flange Example

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Here is how the Distance of Considered Section from Neutral Axis given Shear Stress in Flange equation looks like with Values.

Here is how the Distance of Considered Section from Neutral Axis given Shear Stress in Flange equation looks like with Units.

Here is how the Distance of Considered Section from Neutral Axis given Shear Stress in Flange equation looks like.

6024.9481 = \sqrt{\frac{9000^{2}}{2} - \frac{2 \cdot 0.0017}{4.8} \cdot 6}

6024.9481mm = \sqrt{\frac{{9000mm}^{2}}{2} - \frac{2 \cdot 0.0017m⁴}{4.8kN} \cdot 6MPa}

6024.9481 = \sqrt{\frac{9000^{2}}{2} - \frac{2 \cdot 0.0017}{4.8} \cdot 6}

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Distance of Considered Section from Neutral Axis given Shear Stress in Flange Solution

Follow our step by step solution on how to calculate Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

FIRST Step Consider the formula

y = \sqrt{\frac{D^{2}}{2} - \frac{2 \cdot I}{F s} \cdot 𝜏 beam}

Next Step Substitute values of Variables

∴

y = \sqrt{\frac{{9000mm}^{2}}{2} - \frac{2 \cdot 0.0017m⁴}{4.8kN} \cdot 6MPa}

Next Step Convert Units

∴

y = \sqrt{\frac{{9m}^{2}}{2} - \frac{2 \cdot 0.0017m⁴}{4800N} \cdot 6E+6Pa}

Next Step Prepare to Evaluate

∴

y = \sqrt{\frac{9^{2}}{2} - \frac{2 \cdot 0.0017}{4800} \cdot 6E+6}

Next Step Evaluate

∴

y = 6.02494813255683m

Next Step Convert to Output's Unit

∴

y = 6024.94813255683mm

LAST Step Rounding Answer

∴

y = 6024.9481mm

Distance of Considered Section from Neutral Axis given Shear Stress in Flange Formula Elements

Variables

Functions

Distance from Neutral Axis

Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Neutral Axis

Outer Depth of I section

The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Depth of I section

Moment of Inertia of Area of Section

Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Area of Section

Shear Force on Beam

Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.

Symbol: F_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Shear Stress in Beam

Shear Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏_beam

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in Beam

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Distance from Neutral Axis

Go Distance of Lower Edge of Flange from Neutral Axis

y = \frac{d}{2}

Go Distance of Upper Edge of Flange from Neutral Axis

y = \frac{D}{2}

Other formulas in Shear Stress Distribution in Flange category

Go Inner Depth of I-section given Shear Stress in Lower Edge of Flange

d = \sqrt{D^{2} - \frac{8 \cdot I}{F s} \cdot 𝜏 beam}

Go Outer Depth of I section given Shear Stress in Lower Edge of Flange

D = \sqrt{\frac{8 \cdot I}{F s} \cdot 𝜏 beam + d^{2}}

Go Moment of Inertia of I section given Shear Stress in Lower Edge of Flange

I = \frac{F s}{8 \cdot 𝜏 beam} \cdot (D^{2} - d^{2})

Go Shear Force in Lower Edge of Flange in I-section

F s = \frac{8 \cdot I \cdot 𝜏 beam}{D^{2} - d^{2}}

How to Evaluate Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

Distance of Considered Section from Neutral Axis given Shear Stress in Flange evaluator uses Distance from Neutral Axis = sqrt((Outer Depth of I section^2)/2-(2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam) to evaluate the Distance from Neutral Axis, The Distance of Considered Section from Neutral Axis given Shear Stress in Flange formula is defined as the vertical distance from the neutral axis to a point in the flange of an I-section beam where the shear stress is being measured, providing a critical value for structural analysis and design. Distance from Neutral Axis is denoted by y symbol.

How to evaluate Distance of Considered Section from Neutral Axis given Shear Stress in Flange using this online evaluator? To use this online evaluator for Distance of Considered Section from Neutral Axis given Shear Stress in Flange, enter Outer Depth of I section (D), Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s) & Shear Stress in Beam (𝜏_beam) and hit the calculate button.

FAQs on Distance of Considered Section from Neutral Axis given Shear Stress in Flange

What is the formula to find Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

The formula of Distance of Considered Section from Neutral Axis given Shear Stress in Flange is expressed as Distance from Neutral Axis = sqrt((Outer Depth of I section^2)/2-(2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam). Here is an example- 6E+6 = sqrt((9^2)/2-(2*0.00168)/4800*6000000).

How to calculate Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

With Outer Depth of I section (D), Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s) & Shear Stress in Beam (𝜏_beam) we can find Distance of Considered Section from Neutral Axis given Shear Stress in Flange using the formula - Distance from Neutral Axis = sqrt((Outer Depth of I section^2)/2-(2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Distance from Neutral Axis?

Here are the different ways to Calculate Distance from Neutral Axis-

Distance from Neutral Axis=Inner Depth of I Section/2
Distance from Neutral Axis=Outer Depth of I section/2

Can the Distance of Considered Section from Neutral Axis given Shear Stress in Flange be negative?

Yes, the Distance of Considered Section from Neutral Axis given Shear Stress in Flange, measured in Length can be negative.

Which unit is used to measure Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

Distance of Considered Section from Neutral Axis given Shear Stress in Flange is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of Considered Section from Neutral Axis given Shear Stress in Flange can be measured.

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Distance of Considered Section from Neutral Axis given Shear Stress in Flange Formula

​GoDistance of Lower Edge of Flange from Neutral Axis Formula

​GoDistance of Upper Edge of Flange from Neutral Axis Formula

Distance of Considered Section from Neutral Axis given Shear Stress in Flange Example

Distance of Considered Section from Neutral Axis given Shear Stress in Flange Solution

Distance of Considered Section from Neutral Axis given Shear Stress in Flange Formula Elements

Other Formulas to find Distance from Neutral Axis

Other formulas in Shear Stress Distribution in Flange category

How to Evaluate Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

FAQs on Distance of Considered Section from Neutral Axis given Shear Stress in Flange

Variable Name

GoDistance of Lower Edge of Flange from Neutral Axis Formula

GoDistance of Upper Edge of Flange from Neutral Axis Formula