Outer Depth of I section given Shear Stress in Lower Edge of 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%
✖Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.ⓘ Inner Depth of I Section [d]			+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 Lower Edge of Flange [D]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
D = sqrt((8*I)/F_s*𝜏_beam+d^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.
Inner Depth of I Section - (Measured in Meter) - Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

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)
Inner Depth of I Section: 450 Millimeter --> 0.45 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D = sqrt((8*I)/F_s*𝜏_beam+d^2) --> sqrt((8*0.00168)/4800*6000000+0.45^2)

Evaluating ... ...

D = 4.12340878400384

STEP 3: Convert Result to Output's Unit

4.12340878400384 Meter -->4123.40878400384 Millimeter (Check conversion here)

FINAL ANSWER

4123.40878400384 ≈ 4123.409 Millimeter <-- Outer Depth of I section

(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)

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

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)
D = sqrt((8*I)/F_s*𝜏_beam+d^2)

What is Shear Stress?

Shear stress is a type of stress that acts parallel or tangential to the surface of a material, as opposed to normal stress, which acts perpendicular to the surface. It occurs when a force is applied that tends to cause different parts of a material to slide or move parallel to each other in opposite directions.

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

Outer Depth of I section given Shear Stress in Lower Edge of Flange calculator uses 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) to calculate the Outer Depth of I section, The Outer Depth of I section given Shear Stress in Lower Edge of Flange formula is defined as the maximum vertical distance from the outermost point of the I-section beam to its central axis, which is a critical parameter in structural engineering to ensure the beam's stability and resistance to shear stress. Outer Depth of I section is denoted by D symbol.

How to calculate Outer Depth of I section given Shear Stress in Lower Edge of Flange using this online calculator? To use this online calculator for Outer Depth of I section given Shear Stress in Lower Edge of Flange, enter Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Outer Depth of I section given Shear Stress in Lower Edge of Flange calculation can be explained with given input values -> 4.1E+6 = sqrt((8*0.00168)/4800*6000000+0.45^2).

FAQ

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

The Outer Depth of I section given Shear Stress in Lower Edge of Flange formula is defined as the maximum vertical distance from the outermost point of the I-section beam to its central axis, which is a critical parameter in structural engineering to ensure the beam's stability and resistance to shear stress and is represented as D = sqrt((8*I)/F_s*𝜏_beam+d^2) or 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 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 & Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

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

The Outer Depth of I section given Shear Stress in Lower Edge of Flange formula is defined as the maximum vertical distance from the outermost point of the I-section beam to its central axis, which is a critical parameter in structural engineering to ensure the beam's stability and resistance to shear stress is calculated using 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). To calculate Outer Depth of I section given Shear Stress in Lower Edge of Flange, you need Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam) & Inner Depth of I Section (d). 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 & Inner Depth of I Section 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 & Inner Depth of I Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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