Distance of CG of Considered Area of Flange from Neutral Axis in I Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis)
ȳ = 1/2*(D/2+y)
This formula uses 3 Variables
Variables Used
Distance of CG of Area from NA - (Measured in Meter) - Distance of CG of Area from NA is a numerical measurement of how far apart objects or points are, it is crucial in analyzing bending stresses and moments of inertia.
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.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the distance of the considered layer from the neutral layer.
STEP 1: Convert Input(s) to Base Unit
Outer Depth of I section: 9000 Millimeter --> 9 Meter (Check conversion ​here)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ȳ = 1/2*(D/2+y) --> 1/2*(9/2+0.005)
Evaluating ... ...
ȳ = 2.2525
STEP 3: Convert Result to Output's Unit
2.2525 Meter -->2252.5 Millimeter (Check conversion ​here)
FINAL ANSWER
2252.5 Millimeter <-- Distance of CG of Area from NA
(Calculation completed in 00.004 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 CG of Considered Area of Flange from Neutral Axis in I Section Formula

​LaTeX ​Go
Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis)
ȳ = 1/2*(D/2+y)

Where is Shear Stress Distribution in a Beam Section is Maximum?

In a rectangular beam:

Maximum shear stress occurs at the neutral axis (the horizontal axis through the centroid of the cross-section), which is typically at the mid-height of the beam.
Zero shear stress occurs at the outermost fibers (the top and bottom edges) of the beam's cross-section.
This means the shear stress is highest in the middle of the cross-section and decreases to zero as you move toward the top and bottom surfaces.

How to Calculate Distance of CG of Considered Area of Flange from Neutral Axis in I Section?

Distance of CG of Considered Area of Flange from Neutral Axis in I Section calculator uses Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis) to calculate the Distance of CG of Area from NA, The Distance of CG of Considered Area of Flange from Neutral Axis in I Section formula is defined as the vertical distance from the neutral axis to the centroid of the flange area in an I-section, which is a critical parameter in calculating shear stress and analyzing the structural behavior of I-beams. Distance of CG of Area from NA is denoted by ȳ symbol.

How to calculate Distance of CG of Considered Area of Flange from Neutral Axis in I Section using this online calculator? To use this online calculator for Distance of CG of Considered Area of Flange from Neutral Axis in I Section, enter Outer Depth of I section (D) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Distance of CG of Considered Area of Flange from Neutral Axis in I Section calculation can be explained with given input values -> 2.3E+6 = 1/2*(9/2+0.005).

FAQ

What is Distance of CG of Considered Area of Flange from Neutral Axis in I Section?
The Distance of CG of Considered Area of Flange from Neutral Axis in I Section formula is defined as the vertical distance from the neutral axis to the centroid of the flange area in an I-section, which is a critical parameter in calculating shear stress and analyzing the structural behavior of I-beams and is represented as ȳ = 1/2*(D/2+y) or Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis). The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section & Distance from Neutral Axis is the distance of the considered layer from the neutral layer.
How to calculate Distance of CG of Considered Area of Flange from Neutral Axis in I Section?
The Distance of CG of Considered Area of Flange from Neutral Axis in I Section formula is defined as the vertical distance from the neutral axis to the centroid of the flange area in an I-section, which is a critical parameter in calculating shear stress and analyzing the structural behavior of I-beams is calculated using Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis). To calculate Distance of CG of Considered Area of Flange from Neutral Axis in I Section, you need Outer Depth of I section (D) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Outer Depth of I section & Distance from Neutral Axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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