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

✖The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.ⓘ Outer Depth of I section [D]			+10% -10%
✖Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.ⓘ Moment of Inertia of Area of Section [I]			+10% -10%
✖Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force on Beam [F_s]			+10% -10%
✖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.ⓘ Shear Stress in Beam [𝜏_beam]			+10% -10%

✖Distance from Neutral Axis is the distance of the considered layer from the neutral layer.ⓘ Distance of Considered Section from Neutral Axis given Shear Stress in Flange [y]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
y = sqrt((D^2)/2-(2*I)/F_s*𝜏_beam)
This formula uses 1 Functions, 5 Variables

Functions Used

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., sqrt(Number)

Variables Used

Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the distance of the considered layer from the neutral layer.
Outer Depth of I section - (Measured in Meter) - The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.
Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
Shear Stress in Beam - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Outer Depth of I section: 9000 Millimeter --> 9 Meter (Check conversion here)
Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (Check conversion here)
Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = sqrt((D^2)/2-(2*I)/F_s*𝜏_beam) --> sqrt((9^2)/2-(2*0.00168)/4800*6000000)

Evaluating ... ...

y = 6.02494813255683

STEP 3: Convert Result to Output's Unit

6.02494813255683 Meter -->6024.94813255683 Millimeter (Check conversion here)

FINAL ANSWER

6024.94813255683 ≈ 6024.948 Millimeter <-- Distance from Neutral Axis

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Shear Stress Distribution in Flange Calculators

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

LaTeX Go Inner Depth of I Section = sqrt(Outer Depth of I section^2-(8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam)

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

LaTeX Go Outer Depth of I section = sqrt((8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Inner Depth of I Section^2)

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

LaTeX Go Moment of Inertia of Area of Section = Shear Force on Beam/(8*Shear Stress in Beam)*(Outer Depth of I section^2-Inner Depth of I Section^2)

Shear Force in Lower Edge of Flange in I-section

LaTeX Go Shear Force on Beam = (8*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Outer Depth of I section^2-Inner Depth of I Section^2)

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

LaTeX Go

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)
y = sqrt((D^2)/2-(2*I)/F_s*𝜏_beam)

What is Neutral Axis?

The neutral axis is a key concept in structural mechanics, particularly in the analysis of beams and other flexural members. It refers to an imaginary line or plane within a beam where there is no tension or compression when the beam is subjected to bending.

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

Distance of Considered Section from Neutral Axis given Shear Stress in Flange calculator 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 calculate 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 calculate Distance of Considered Section from Neutral Axis given Shear Stress in Flange using this online calculator? To use this online calculator 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. Here is how the Distance of Considered Section from Neutral Axis given Shear Stress in Flange calculation can be explained with given input values -> 6E+6 = sqrt((9^2)/2-(2*0.00168)/4800*6000000).

FAQ

What is Distance of Considered Section from Neutral Axis given Shear Stress in Flange?

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 and is represented as y = sqrt((D^2)/2-(2*I)/F_s*𝜏_beam) or 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). The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section, Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis, Shear Force on Beam is the force which causes shear deformation to occur in the shear plane & 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.

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

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 is calculated using 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 calculate Distance of Considered Section from Neutral Axis given Shear Stress in Flange, you need 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). With our tool, you need to enter the respective value for Outer Depth of I section, Moment of Inertia of Area of Section, Shear Force on Beam & Shear Stress in Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Distance from Neutral Axis?

In this formula, Distance from Neutral Axis uses Outer Depth of I section, Moment of Inertia of Area of Section, Shear Force on Beam & Shear Stress in Beam. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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