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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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 00.004 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)

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

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)
F_s = (8*I*𝜏_beam)/(D^2-d^2)

What is Shear Force?

Shear force is a measure of the internal force within a structural member that acts parallel to the cross-section of the member. It arises in response to external loads applied perpendicular to the longitudinal axis of the member. Understanding shear force is essential in the analysis and design of beams, columns, and other structural elements.

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 formula is defined as a measure of the transverse internal force that occurs at the lower edge of the flange in an I-section beam, which is essential in determining the structural integrity of the beam under various loading conditions. 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 formula is defined as a measure of the transverse internal force that occurs at the lower edge of the flange in an I-section beam, which is essential in determining the structural integrity of the beam under various loading conditions 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 formula is defined as a measure of the transverse internal force that occurs at the lower edge of the flange in an I-section beam, which is essential in determining the structural integrity of the beam under various loading conditions 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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