Shear Force in Lower Edge of Flange in I-section 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 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%
✖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 Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force in Lower Edge of Flange in I-section [F_s]

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Formula

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Shear Force in Lower Edge of Flange in I-section

Formula

`"F"_{"s"} = (8*"I"*"𝜏"_{"beam"})/("D"^2-"d"^2)`

Example

`"0.998051kN"=(8*"0.00168m⁴"*"6MPa")/(("9000mm")^2-("450mm")^2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
F_s = (8*I*𝜏_beam)/(D^2-d^2)
This formula uses 5 Variables

Variables Used

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.
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.
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

Moment of Inertia of Area of Section: 0.00168 Meter⁴ --> 0.00168 Meter⁴ No Conversion Required
Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)
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

F_s = (8*I*𝜏_beam)/(D^2-d^2) --> (8*0.00168*6000000)/(9^2-0.45^2)

Evaluating ... ...

F_s = 998.050682261209

STEP 3: Convert Result to Output's Unit

998.050682261209 Newton -->0.998050682261209 Kilonewton (Check conversion here)

FINAL ANSWER

0.998050682261209 ≈ 0.998051 Kilonewton <-- Shear Force on Beam

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 Force in Lower Edge of Flange in I-section Formula

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)
F_s = (8*I*𝜏_beam)/(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 surfaces of the beam. Shear flow has the units of force per unit distance.

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

Shear Force in Lower Edge of Flange in I-section calculator uses 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) to calculate the Shear Force on Beam, Shear Force in Lower Edge of Flange in I-section is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction. Shear Force on Beam is denoted by F_s symbol.

How to calculate Shear Force in Lower Edge of Flange in I-section using this online calculator? To use this online calculator for Shear Force in Lower Edge of Flange in I-section, enter Moment of Inertia of Area of Section (I), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Shear Force in Lower Edge of Flange in I-section calculation can be explained with given input values -> 0.000998 = (8*0.00168*6000000)/(9^2-0.45^2).

FAQ

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

Shear Force in Lower Edge of Flange in I-section is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction and is represented as F_s = (8*I*𝜏_beam)/(D^2-d^2) or 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). Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis, 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, 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 Force in Lower Edge of Flange in I-section?

Shear Force in Lower Edge of Flange in I-section is defined as a force applied perpendicular to a surface, in opposition to an offset force acting in the opposite direction is calculated using 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). To calculate Shear Force in Lower Edge of Flange in I-section, you need Moment of Inertia of Area of Section (I), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & 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 Stress in Beam, 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 Force on Beam?

In this formula, Shear Force on Beam uses Moment of Inertia of Area of Section, Shear Stress in Beam, 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 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)

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