Shear Stress at Junction of Top of 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%
✖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%
✖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 at Junction of Top of Web [𝜏_beam]

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Shear Stress at Junction of Top of Web Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
𝜏_beam = (F_s*B*(D^2-d^2))/(8*I*b)
This formula uses 7 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (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)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

𝜏_beam = 412232142.857143

STEP 3: Convert Result to Output's Unit

412232142.857143 Pascal -->412.232142857143 Megapascal (Check conversion here)

FINAL ANSWER

412.232142857143 ≈ 412.2321 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 at Junction of Top of Web Formula

LaTeX Go

Why Shear Stress is Maximum at Neutral Axis?

The maximum shear stress is located at the neutral axis. As the point moves further from the neutral axis, the value of the shear stress is reduced until it reaches zero at both extremes. On the other hand, if the member is subjected to an axial load, shear stress varies with rotating the element.

How to Calculate Shear Stress at Junction of Top of Web?

Shear Stress at Junction of Top of Web calculator uses 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) to calculate the Shear Stress in Beam, The Shear Stress at Junction of Top of Web formula is defined as a measure of the stress experienced by a beam at the junction of the top of the web, which is a critical point in the beam's structure, and is influenced by factors such as the force applied, beam dimensions, and moment of inertia. Shear Stress in Beam is denoted by 𝜏_beam symbol.

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

FAQ

What is Shear Stress at Junction of Top of Web?

The Shear Stress at Junction of Top of Web formula is defined as a measure of the stress experienced by a beam at the junction of the top of the web, which is a critical point in the beam's structure, and is influenced by factors such as the force applied, beam dimensions, and moment of inertia and is represented as 𝜏_beam = (F_s*B*(D^2-d^2))/(8*I*b) or 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). Shear Force on Beam is the force which causes shear deformation to occur in the shear plane, 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, 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.

How to calculate Shear Stress at Junction of Top of Web?

The Shear Stress at Junction of Top of Web formula is defined as a measure of the stress experienced by a beam at the junction of the top of the web, which is a critical point in the beam's structure, and is influenced by factors such as the force applied, beam dimensions, and moment of inertia is calculated using 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). To calculate Shear Stress at Junction of Top of Web, you need Shear Force on Beam (F_s), Width of Beam Section (B), Outer Depth of I section (D), Inner Depth of I Section (d), Moment of Inertia of Area of Section (I) & Thickness of Beam Web (b). With our tool, you need to enter the respective value for Shear Force on Beam, Width of Beam Section, Outer Depth of I section, Inner Depth of I Section, Moment of Inertia of Area of Section & Thickness of Beam Web 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, Width of Beam Section, Outer Depth of I section, Inner Depth of I Section, Moment of Inertia of Area of Section & Thickness of Beam Web. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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