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)
𝜏beam = Fs/(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
𝜏beam = Fs/(8*I)*(D^2-d^2) --> 4800/(8*0.00168)*(9^2-0.45^2)
Evaluating ... ...
𝜏beam = 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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15 Shear Stress Distribution in Flange Calculators

Distance of Considered Section from Neutral Axis given Shear Stress in Flange
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)
Outer Depth of I-section given Shear Stress in Flange
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)
Inner Depth of I-section given Shear Stress in Lower Edge of Flange
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
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 Section for I-section
Go Moment of Inertia of Area of Section = Shear Force on Beam/(2*Shear Stress in Beam)*((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)
Shear Force in Flange of I-section
Go Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)
Shear Stress in Flange of I-section
Go 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)
Moment of Inertia of I section given Shear Stress in Lower Edge of Flange
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 Stress in Lower Edge of Flange of I-section
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)
Shear Force in Lower Edge of Flange in I-section
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)
Width of Section given Area above Considered Section of Flange
Go Width of Beam Section = Area of Section above Considered Level/(Outer Depth of I section/2-Distance from Neutral Axis)
Area of Flange or Area above Considered Section
Go Area of Section above Considered Level = Width of Beam Section*(Outer Depth of I section/2-Distance from Neutral Axis)
Distance of CG of Considered Area of Flange from Neutral Axis in I Section
Go Distance of CG of Area from NA = 1/2*(Outer Depth of I section/2+Distance from Neutral Axis)
Distance of Lower Edge of Flange from Neutral Axis
Go Distance from Neutral Axis = Inner Depth of I Section/2
Distance of Upper Edge of Flange from Neutral Axis
Go Distance from Neutral Axis = Outer Depth of I section/2

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

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)
𝜏beam = Fs/(8*I)*(D^2-d^2)

Where is shear stress distribution in a beam section maximum?

The maximum shear stress occurs at the neutral axis and is zero at both the top and bottom surface of the beam. Shear flow has the units of force per unit distance.

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, Shear Stress in Lower Edge of Flange of I-section is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Shear Stress in Beam is denoted by 𝜏beam 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 (Fs), 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?
Shear Stress in Lower Edge of Flange of I-section is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress and is represented as 𝜏beam = Fs/(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?
Shear Stress in Lower Edge of Flange of I-section is defined as a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress 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 (Fs), 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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