Shear Force at Junction of Top of Web 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%
✖Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.ⓘ Thickness of Beam Web [b]			+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%
✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Beam Section [B]			+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 at Junction of Top of Web [F_s]

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Shear Force at Junction of Top of Web Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))
F_s = (8*I*b*𝜏_beam)/(B*(D^2-d^2))
This formula uses 7 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.
Thickness of Beam Web - (Measured in Meter) - Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.
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.
Width of Beam Section - (Measured in Meter) - Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.
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
Thickness of Beam Web: 7 Millimeter --> 0.007 Meter (Check conversion here)
Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (Check conversion here)
Width of Beam Section: 100 Millimeter --> 0.1 Meter (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*b*𝜏_beam)/(B*(D^2-d^2)) --> (8*0.00168*0.007*6000000)/(0.1*(9^2-0.45^2))

Evaluating ... ...

F_s = 69.8635477582846

STEP 3: Convert Result to Output's Unit

69.8635477582846 Newton -->0.0698635477582846 Kilonewton (Check conversion here)

FINAL ANSWER

0.0698635477582846 ≈ 0.069864 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 Web Calculators

Moment of Inertia of Section given Shear Stress at Junction of Top of Web

LaTeX Go Moment of Inertia of Area of Section = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Shear Stress in Beam*Thickness of Beam Web)

Thickness of Web given Shear Stress at Junction of Top of Web

LaTeX Go Thickness of Beam Web = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam)

Width of Section given Shear Stress at Junction of Top of Web

LaTeX Go Width of Beam Section = (Shear Stress in Beam*8*Moment of Inertia of Area of Section*Thickness of Beam Web)/(Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2))

Shear Force at Junction of Top of Web

LaTeX Go Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))

Shear Force at Junction of Top of Web Formula

LaTeX Go

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 Shear Force at Junction of Top of Web?

Shear Force at Junction of Top of Web calculator uses Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2)) to calculate the Shear Force on Beam, Shear Force at Junction of Top of Web formula is defined as a measure of the transverse force that occurs at the junction of the top of the web in an I-section beam, which is critical in determining the structural integrity of the beam under various loads. Shear Force on Beam is denoted by F_s symbol.

How to calculate Shear Force at Junction of Top of Web using this online calculator? To use this online calculator for Shear Force at Junction of Top of Web, enter Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Shear Stress in Beam (𝜏_beam), Width of Beam Section (B), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Shear Force at Junction of Top of Web calculation can be explained with given input values -> 7E-5 = (8*0.00168*0.007*6000000)/(0.1*(9^2-0.45^2)).

FAQ

What is Shear Force at Junction of Top of Web?

Shear Force at Junction of Top of Web formula is defined as a measure of the transverse force that occurs at the junction of the top of the web in an I-section beam, which is critical in determining the structural integrity of the beam under various loads and is represented as F_s = (8*I*b*𝜏_beam)/(B*(D^2-d^2)) or Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(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, Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges, 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, Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration, 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 at Junction of Top of Web?

Shear Force at Junction of Top of Web formula is defined as a measure of the transverse force that occurs at the junction of the top of the web in an I-section beam, which is critical in determining the structural integrity of the beam under various loads is calculated using Shear Force on Beam = (8*Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/(Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2)). To calculate Shear Force at Junction of Top of Web, you need Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Shear Stress in Beam (𝜏_beam), Width of Beam Section (B), 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, Thickness of Beam Web, Shear Stress in Beam, Width of Beam 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 Force on Beam?

In this formula, Shear Force on Beam uses Moment of Inertia of Area of Section, Thickness of Beam Web, Shear Stress in Beam, Width of Beam Section, Outer Depth of I section & Inner Depth of I Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

Shear Force on Beam = (Maximum Shear Stress on Beam*Moment of Inertia of Area of Section*Thickness of Beam Web)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+(Thickness of Beam Web*Inner Depth of I Section^2)/8)
Shear Force on Beam = (Moment of Inertia of Area of Section*Thickness of Beam Web*Shear Stress in Beam)/((Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2))

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