Shear Stress in Lower Edge of Flange of I-section Calculator

✖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%
✖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%
✖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%
✖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%

✖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 Lower Edge of Flange of I-section [𝜏_beam]

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Shear Stress in Lower Edge of Flange of I-section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Beam = Shear Force on Beam/(8*Moment of Inertia of Area of Section)*(Outer Depth of I section^2-Inner Depth of I Section^2)
𝜏_beam = F_s/(8*I)*(D^2-d^2)
This formula uses 5 Variables

Variables Used

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.
Shear Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
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.
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.
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

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

𝜏_beam = F_s/(8*I)*(D^2-d^2) --> 4800/(8*0.00168)*(9^2-0.45^2)

Evaluating ... ...

𝜏_beam = 28856250

STEP 3: Convert Result to Output's Unit

28856250 Pascal -->28.85625 Megapascal (Check conversion here)

FINAL ANSWER

28.85625 Megapascal <-- Shear Stress in Beam

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Indian Institute of Information Technology (IIIT), Guwahati

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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)

Shear Stress in Lower Edge of Flange of I-section Formula

LaTeX Go

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

What is Shear Stress in Lower Edge of Flange?

Shear stress in the lower edge of the flange refers to the internal shear stress that develops at the bottom edge of the bottom flange of a beam (such as an I-beam) when it is subjected to bending or shear forces. This stress is crucial in understanding how the beam behaves under load, especially near the areas that are most likely to experience failure.

How to Calculate Shear Stress in Lower Edge of Flange of I-section?

Shear Stress in Lower Edge of Flange of I-section calculator uses Shear Stress in Beam = Shear Force on Beam/(8*Moment of Inertia of Area of Section)*(Outer Depth of I section^2-Inner Depth of I Section^2) to calculate the Shear Stress in Beam, The Shear Stress in Lower Edge of Flange of I-section formula is defined as a measure of the stress experienced by the lower edge of the flange in an I-section beam, which is critical in determining the structural integrity of the beam under various loads. Shear Stress in Beam is denoted by 𝜏_beam symbol.

How to calculate Shear Stress in Lower Edge of Flange of I-section using this online calculator? To use this online calculator for Shear Stress in Lower Edge of Flange of I-section, enter Shear Force on Beam (F_s), Moment of Inertia of Area of Section (I), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Shear Stress in Lower Edge of Flange of I-section calculation can be explained with given input values -> 2.9E-5 = 4800/(8*0.00168)*(9^2-0.45^2).

FAQ

What is Shear Stress in Lower Edge of Flange of I-section?

The Shear Stress in Lower Edge of Flange of I-section formula is defined as a measure of the stress experienced by the lower edge of the flange in an I-section beam, which is critical in determining the structural integrity of the beam under various loads and is represented as 𝜏_beam = F_s/(8*I)*(D^2-d^2) or Shear Stress in Beam = Shear Force on Beam/(8*Moment of Inertia of Area of Section)*(Outer Depth of I section^2-Inner Depth of I Section^2). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis, The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section & Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

How to calculate Shear Stress in Lower Edge of Flange of I-section?

The Shear Stress in Lower Edge of Flange of I-section formula is defined as a measure of the stress experienced by the lower edge of the flange in an I-section beam, which is critical in determining the structural integrity of the beam under various loads is calculated using Shear Stress in Beam = Shear Force on Beam/(8*Moment of Inertia of Area of Section)*(Outer Depth of I section^2-Inner Depth of I Section^2). To calculate Shear Stress in Lower Edge of Flange of I-section, you need Shear Force on Beam (F_s), Moment of Inertia of Area of Section (I), Outer Depth of I section (D) & Inner Depth of I Section (d). With our tool, you need to enter the respective value for Shear Force on Beam, Moment of Inertia of Area of Section, Outer Depth of I section & 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 Shear Stress in Beam?

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

Shear Stress in Beam = Shear Force on Beam/(2*Moment of Inertia of Area of Section)*(Outer Depth of I section^2/2-Distance from Neutral Axis^2)

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