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

✖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%
✖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 Force on Beam is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force on Beam [F_s]			+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%

✖Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.ⓘ Width of Section given Shear Stress at Junction of Top of Web [B]

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Formula

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

Formula

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

Example

`"1.455491mm"=("6MPa"*8*"0.00168m⁴"*"7mm")/("4.8kN"*(("9000mm")^2-("450mm")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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 Force on Beam - (Measured in Newton) - Shear Force on Beam is the force which causes shear deformation to occur in the shear plane.
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

Shear Stress in Beam: 6 Megapascal --> 6000000 Pascal (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)
Shear Force on Beam: 4.8 Kilonewton --> 4800 Newton (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

B = (𝜏_beam*8*I*b)/(F_s*(D^2-d^2)) --> (6000000*8*0.00168*0.007)/(4800*(9^2-0.45^2))

Evaluating ... ...

B = 0.0014554905782976

STEP 3: Convert Result to Output's Unit

0.0014554905782976 Meter -->1.4554905782976 Millimeter (Check conversion here)

FINAL ANSWER

1.4554905782976 ≈ 1.455491 Millimeter <-- Width of Beam Section

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Shear Stress In Beam » Shear Stress Distribution for Different Sections » Shear Stress in I Section » Shear Stress Distribution in Web » Width of Section given Shear Stress at Junction of Top of Web

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< 18 Shear Stress Distribution in Web Calculators

Shear Force in Web

Go 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))

Moment of Inertia of I-Section given Shear Stress of Web

Go Moment of Inertia of Area of Section = Shear Force on Beam/(Shear Stress in Beam*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 Stress in Web

Go 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))

Thickness of Web given Shear Stress of Web

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-Shear Force on Beam*(Inner Depth of I Section^2-4*Distance from Neutral Axis^2))

Maximum Shear Stress in I Section

Go Maximum Shear Stress on Beam = Shear Force 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)

Maximum Shear Force in I Section

Go 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)

Moment of Inertia of I-Section given Maximum Shear Stress and Force

Go Moment of Inertia of Area of Section = Shear Force on Beam/(Shear Stress in Beam*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)

Thickness of Web given Maximum Shear Stress and Force

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

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

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

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

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 Stress at Junction of Top of Web

Go 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 at Junction of Top of Web

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))

Thickness of Web

Go Thickness of Beam Web = (2*Moment of Inertia of Area of Section)/((Inner Depth of I Section^2)/4-Distance from Neutral Axis^2)

Moment of Shaded Area of Web about Neutral Axis

Go Moment of Inertia of Area of Section = Thickness of Beam Web/2*(Inner Depth of I Section^2/4-Distance from Neutral Axis^2)

Width of Section given Moment of Flange Area about Neutral Axis

Go Width of Beam Section = (8*Moment of Inertia of Area of Section)/(Outer Depth of I section^2-Inner Depth of I Section^2)

Moment of Flange Area about Neutral Axis

Go Moment of Inertia of Area of Section = (Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/8

Distance of Considered Level from Neutral Axis at Junction of Top of Web

Go Distance from Neutral Axis = Inner Depth of I Section/2

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

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

Width of Section given Shear Stress at Junction of Top of Web calculator uses 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)) to calculate the Width of Beam Section, The Width of Section given Shear Stress at Junction of Top of Web formula is defined as the value of how wide the section is. Width of Beam Section is denoted by B symbol.

How to calculate Width of Section given Shear Stress at Junction of Top of Web using this online calculator? To use this online calculator for Width of Section given Shear Stress at Junction of Top of Web, enter Shear Stress in Beam (𝜏_beam), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Shear Force on Beam (F_s), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button. Here is how the Width of Section given Shear Stress at Junction of Top of Web calculation can be explained with given input values -> 1455.491 = (6000000*8*0.00168*0.007)/(4800*(9^2-0.45^2)).

FAQ

What is Width of Section given Shear Stress at Junction of Top of Web?

The Width of Section given Shear Stress at Junction of Top of Web formula is defined as the value of how wide the section is and is represented as B = (𝜏_beam*8*I*b)/(F_s*(D^2-d^2)) or 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 Stress in Beam is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, 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 Force on Beam is the force which causes shear deformation to occur in the shear plane, 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 Width of Section given Shear Stress at Junction of Top of Web?

The Width of Section given Shear Stress at Junction of Top of Web formula is defined as the value of how wide the section is is calculated using 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)). To calculate Width of Section given Shear Stress at Junction of Top of Web, you need Shear Stress in Beam (𝜏_beam), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Shear Force on Beam (F_s), Outer Depth of I section (D) & Inner Depth of I Section (d). With our tool, you need to enter the respective value for Shear Stress in Beam, Moment of Inertia of Area of Section, Thickness of Beam Web, Shear Force on 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 Width of Beam Section?

In this formula, Width of Beam Section uses Shear Stress in Beam, Moment of Inertia of Area of Section, Thickness of Beam Web, Shear Force on 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 -

Width of Beam Section = (8*Moment of Inertia of Area of Section)/(Outer Depth of I section^2-Inner Depth of I Section^2)

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