Shear Stress in Web 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%
✖Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.ⓘ Thickness of Beam Web [b]			+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%
✖Distance from Neutral Axis is the distance of the considered layer from the neutral layer.ⓘ Distance from Neutral Axis [y]			+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 Web [𝜏_beam]

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Shear Stress in Web Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress in Beam = Shear Force on Beam/(Moment of Inertia of Area of Section*Thickness of Beam Web)*(Width of Beam Section/8*(Outer Depth of I section^2-Inner Depth of I Section^2)+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2))
𝜏_beam = F_s/(I*b)*(B/8*(D^2-d^2)+b/2*(d^2/4-y^2))
This formula uses 8 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.
Thickness of Beam Web - (Measured in Meter) - Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.
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.
Distance from Neutral Axis - (Measured in Meter) - Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

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
Thickness of Beam Web: 7 Millimeter --> 0.007 Meter (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)
Distance from Neutral Axis: 5 Millimeter --> 0.005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏_beam = F_s/(I*b)*(B/8*(D^2-d^2)+b/2*(d^2/4-y^2)) --> 4800/(0.00168*0.007)*(0.1/8*(9^2-0.45^2)+0.007/2*(0.45^2/4-0.005^2))

Evaluating ... ...

𝜏_beam = 412304428.571429

STEP 3: Convert Result to Output's Unit

412304428.571429 Pascal -->412.304428571429 Megapascal (Check conversion here)

FINAL ANSWER

412.304428571429 ≈ 412.3044 Megapascal <-- Shear Stress in 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 Stress in Web Formula

LaTeX Go

What is Web?

In mechanical engineering and structural design, the web refers to the vertical or inclined section of a structural member, such as an I-beam or T-beam, that connects the flanges (the horizontal components). The web is a critical part of these structural elements because it plays a significant role in resisting shear forces and contributing to the overall strength and stability of the beam.

How to Calculate Shear Stress in Web?

Shear Stress in Web calculator uses Shear Stress in Beam = Shear Force on Beam/(Moment of Inertia of Area of Section*Thickness of Beam Web)*(Width of Beam Section/8*(Outer Depth of I section^2-Inner Depth of I Section^2)+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2)) to calculate the Shear Stress in Beam, The Shear Stress in Web formula is defined as a measure of the deformation of a material due to external forces, specifically in the context of I-section beams, where it is essential to calculate the stress caused by shear forces to ensure the structural integrity of the beam. Shear Stress in Beam is denoted by 𝜏_beam symbol.

How to calculate Shear Stress in Web using this online calculator? To use this online calculator for Shear Stress in Web, enter Shear Force on Beam (F_s), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Width of Beam Section (B), Outer Depth of I section (D), Inner Depth of I Section (d) & Distance from Neutral Axis (y) and hit the calculate button. Here is how the Shear Stress in Web calculation can be explained with given input values -> 0.000412 = 4800/(0.00168*0.007)*(0.1/8*(9^2-0.45^2)+0.007/2*(0.45^2/4-0.005^2)).

FAQ

What is Shear Stress in Web?

The Shear Stress in Web formula is defined as a measure of the deformation of a material due to external forces, specifically in the context of I-section beams, where it is essential to calculate the stress caused by shear forces to ensure the structural integrity of the beam and is represented as 𝜏_beam = F_s/(I*b)*(B/8*(D^2-d^2)+b/2*(d^2/4-y^2)) or Shear Stress in Beam = Shear Force on Beam/(Moment of Inertia of Area of Section*Thickness of Beam Web)*(Width of Beam Section/8*(Outer Depth of I section^2-Inner Depth of I Section^2)+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^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, Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges, 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 & Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

How to calculate Shear Stress in Web?

The Shear Stress in Web formula is defined as a measure of the deformation of a material due to external forces, specifically in the context of I-section beams, where it is essential to calculate the stress caused by shear forces to ensure the structural integrity of the beam is calculated using Shear Stress in Beam = Shear Force on Beam/(Moment of Inertia of Area of Section*Thickness of Beam Web)*(Width of Beam Section/8*(Outer Depth of I section^2-Inner Depth of I Section^2)+Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2)). To calculate Shear Stress in Web, you need Shear Force on Beam (F_s), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Width of Beam Section (B), Outer Depth of I section (D), Inner Depth of I Section (d) & Distance from Neutral Axis (y). With our tool, you need to enter the respective value for Shear Force on Beam, Moment of Inertia of Area of Section, Thickness of Beam Web, Width of Beam Section, Outer Depth of I section, Inner Depth of I Section & Distance from Neutral Axis 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, Thickness of Beam Web, Width of Beam Section, Outer Depth of I section, Inner Depth of I Section & Distance from Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress in Beam = (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*Thickness of Beam Web)

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