Outer Depth of I-section given Shear Stress in Flange Calculator

✖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 from Neutral Axis [y]			+10% -10%

✖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 given Shear Stress in Flange [D]

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Outer Depth of I-section given Shear Stress in Flange Solution

STEP 0: Pre-Calculation Summary

Formula Used

Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2)
D = 4*sqrt((2*I)/F_s*𝜏_beam+y^2)
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

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.
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

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)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = 4*sqrt((2*I)/F_s*𝜏_beam+y^2) --> 4*sqrt((2*0.00168)/4800*6000000+0.005^2)

Evaluating ... ...

D = 8.1975850102332

STEP 3: Convert Result to Output's Unit

8.1975850102332 Meter -->8197.5850102332 Millimeter (Check conversion here)

FINAL ANSWER

8197.5850102332 ≈ 8197.585 Millimeter <-- Outer Depth of I section

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

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)

Outer Depth of I-section given Shear Stress in Flange Formula

LaTeX Go

Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2)
D = 4*sqrt((2*I)/F_s*𝜏_beam+y^2)

What is Outer Depth of I-section?

The outer depth of an I-section (also known as an I-beam or H-beam) refers to the total vertical distance from the top surface of the top flange to the bottom surface of the bottom flange. In other words, it is the complete height of the I-section, measured from the extreme top to the extreme bottom of the cross-section.

How to Calculate Outer Depth of I-section given Shear Stress in Flange?

Outer Depth of I-section given Shear Stress in Flange calculator uses Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2) to calculate the Outer Depth of I section, The Outer Depth of I-section given Shear Stress in Flange formula is defined as the maximum distance from the outermost point of the I-section to its central axis, which is a critical parameter in structural analysis to ensure the stability and safety of beams and columns under various loads. Outer Depth of I section is denoted by D symbol.

How to calculate Outer Depth of I-section given Shear Stress in Flange using this online calculator? To use this online calculator for Outer Depth of I-section given Shear Stress in Flange, enter Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Outer Depth of I-section given Shear Stress in Flange calculation can be explained with given input values -> 8.2E+6 = 4*sqrt((2*0.00168)/4800*6000000+0.005^2).

FAQ

What is Outer Depth of I-section given Shear Stress in Flange?

The Outer Depth of I-section given Shear Stress in Flange formula is defined as the maximum distance from the outermost point of the I-section to its central axis, which is a critical parameter in structural analysis to ensure the stability and safety of beams and columns under various loads and is represented as D = 4*sqrt((2*I)/F_s*𝜏_beam+y^2) or Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2). 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 & Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

How to calculate Outer Depth of I-section given Shear Stress in Flange?

The Outer Depth of I-section given Shear Stress in Flange formula is defined as the maximum distance from the outermost point of the I-section to its central axis, which is a critical parameter in structural analysis to ensure the stability and safety of beams and columns under various loads is calculated using Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2). To calculate Outer Depth of I-section given Shear Stress in Flange, you need Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Moment of Inertia of Area of Section, Shear Force on Beam, Shear Stress in Beam & 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.

How many ways are there to calculate Outer Depth of I section?

In this formula, Outer Depth of I section uses Moment of Inertia of Area of Section, Shear Force on Beam, Shear Stress in Beam & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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