Longitudinal Shear Stress in Web for I beam Calculator

✖Width of Flange is the dimension of the flange measured parallel to the neutral axis.ⓘ Width of Flange [b_f]			+10% -10%
✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Width of Web (bw) is the effective width of the member for flanged section.ⓘ Width of Web [b_w]			+10% -10%
✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%
✖Overall Depth of I Beam is the total height or depth of the I-section from the top fiber of the top flange to the bottom fiber of the bottom flange.ⓘ Overall Depth of I Beam [D]			+10% -10%
✖Depth of Web is the dimension of the web measured perpendicular to the neutral axis.ⓘ Depth of Web [d_w]			+10% -10%

✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Longitudinal Shear Stress in Web for I beam [τ]

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Formula

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Longitudinal Shear Stress in Web for I beam

Formula

`"τ" = (("b"_{"f"}*"V")/(8*"b"_{"w"}*"I"))*("D"^2-"d"_{"w"}^2)`

Example

`"344.3234MPa"=(("250mm"*"24.8kN")/(8*".040m"*"36000000mm⁴"))*(("800mm")^2-("15mm")^2)`

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Longitudinal Shear Stress in Web for I beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)
τ = ((b_f*V)/(8*b_w*I))*(D^2-d_w^2)
This formula uses 7 Variables

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Width of Flange - (Measured in Meter) - Width of Flange is the dimension of the flange measured parallel to the neutral axis.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Width of Web - (Measured in Meter) - Width of Web (bw) is the effective width of the member for flanged section.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.
Overall Depth of I Beam - (Measured in Meter) - Overall Depth of I Beam is the total height or depth of the I-section from the top fiber of the top flange to the bottom fiber of the bottom flange.
Depth of Web - (Measured in Meter) - Depth of Web is the dimension of the web measured perpendicular to the neutral axis.

STEP 1: Convert Input(s) to Base Unit

Width of Flange: 250 Millimeter --> 0.25 Meter (Check conversion here)
Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Width of Web: 0.04 Meter --> 0.04 Meter No Conversion Required
Area Moment of Inertia: 36000000 Millimeter⁴ --> 3.6E-05 Meter⁴ (Check conversion here)
Overall Depth of I Beam: 800 Millimeter --> 0.8 Meter (Check conversion here)
Depth of Web: 15 Millimeter --> 0.015 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = ((b_f*V)/(8*b_w*I))*(D^2-d_w^2) --> ((0.25*24800)/(8*0.04*3.6E-05))*(0.8^2-0.015^2)

Evaluating ... ...

τ = 344323350.694444

STEP 3: Convert Result to Output's Unit

344323350.694444 Pascal -->344.323350694444 Megapascal (Check conversion here)

FINAL ANSWER

344.323350694444 ≈ 344.3234 Megapascal <-- Shear Stress

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Strength of Materials » Shear Stress » Longitudinal Shear Stress » I-Beam » Longitudinal Shear Stress in Web for I beam

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 12 I-Beam Calculators

Maximum Longitudinal Shear Stress in Web for I beam

Go Maximum Longitudinal Shear Stress = (((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia)*(Overall Depth of I Beam^2-Depth of Web^2)))+((Shear Force*Depth of Web^2)/(8*Area Moment of Inertia))

Moment of Inertia given Maximum Longitudinal Shear Stress in Web for I beam

Go Area Moment of Inertia = (((Width of Flange*Shear Force)/(8*Width of Web))*(Overall Depth of I Beam^2-Depth of Web^2))/Maximum Shear Stress+((Shear Force*Depth of Web^2)/8)/Maximum Shear Stress

Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam

Go Shear Force = (Maximum Longitudinal Shear Stress*Width of Web*8*Area Moment of Inertia)/((Width of Flange*(Overall Depth of I Beam^2-Depth of Web^2))+(Width of Web*(Depth of Web^2)))

Moment of Inertia given Longitudinal Shear Stress in Web for I beam

Go Area Moment of Inertia = ((Width of Flange*Shear Force)/(8*Shear Stress*Width of Web))*(Overall Depth of I Beam^2-Depth of Web^2)

Breadth of Web given Longitudinal Shear Stress in Web for I beam

Go Width of Web = ((Width of Flange*Shear Force)/(8*Shear Stress*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)

Longitudinal Shear Stress in Web for I beam

Go Shear Stress = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam

Go Width of Flange = (8*Area Moment of Inertia*Shear Stress*Width of Web)/(Shear Force*(Overall Depth of I Beam^2-Depth of Web^2))

Transverse Shear for Longitudinal Shear Stress in Web for I Beam

Go Shear Force = (8*Area Moment of Inertia*Shear Stress*Width of Web)/(Width of Flange*(Overall Depth of I Beam^2-Depth of Web^2))

Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam

Go Area Moment of Inertia = (Shear Force/(8*Shear Stress))*(Overall Depth of I Beam^2-Depth of Web^2)

Longitudinal Shear Stress in Flange at Lower Depth of I beam

Go Shear Stress = (Shear Force/(8*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)

Transverse Shear given Longitudinal Shear Stress in Flange for I beam

Go Shear Force = (8*Area Moment of Inertia*Shear Stress)/(Overall Depth of I Beam^2-Depth of Web^2)

Polar Moment of Inertia given Torsional Shear Stress

Go Polar Moment of Inertia = (Torsional Moment*Radius of Shaft)/(Maximum Shear Stress)

Longitudinal Shear Stress in Web for I beam Formula

Shear Stress = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)
τ = ((b_f*V)/(8*b_w*I))*(D^2-d_w^2)

What is Longitudinal Shear Stress?

The longitudinal shear stress in a beam occurs along the longitudinal axis and is visualized by a slip in the layers of the beam. In addition to the transverse shear force, a longitudinal shear force also exists in the beam. This load produces a shear stress called the longitudinal (or horizontal) shear stress.

What is the web of beam?

The part which lies below the slab and resists the shear stress is called the web of an I or a T Beam.

How to Calculate Longitudinal Shear Stress in Web for I beam?

Longitudinal Shear Stress in Web for I beam calculator uses Shear Stress = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2) to calculate the Shear Stress, The Longitudinal Shear Stress in Web for I beam formula is defined as the shear stress experienced by the fibers in the web. Shear Stress is denoted by τ symbol.

How to calculate Longitudinal Shear Stress in Web for I beam using this online calculator? To use this online calculator for Longitudinal Shear Stress in Web for I beam, enter Width of Flange (b_f), Shear Force (V), Width of Web (b_w), Area Moment of Inertia (I), Overall Depth of I Beam (D) & Depth of Web (d_w) and hit the calculate button. Here is how the Longitudinal Shear Stress in Web for I beam calculation can be explained with given input values -> 0.000344 = ((0.25*24800)/(8*0.04*3.6E-05))*(0.8^2-0.015^2).

FAQ

What is Longitudinal Shear Stress in Web for I beam?

The Longitudinal Shear Stress in Web for I beam formula is defined as the shear stress experienced by the fibers in the web and is represented as τ = ((b_f*V)/(8*b_w*I))*(D^2-d_w^2) or Shear Stress = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2). Width of Flange is the dimension of the flange measured parallel to the neutral axis, Shear Force is the force which causes shear deformation to occur in the shear plane, Width of Web (bw) is the effective width of the member for flanged section, Area Moment of Inertia is a moment about the centroidal axis without considering mass, Overall Depth of I Beam is the total height or depth of the I-section from the top fiber of the top flange to the bottom fiber of the bottom flange & Depth of Web is the dimension of the web measured perpendicular to the neutral axis.

How to calculate Longitudinal Shear Stress in Web for I beam?

The Longitudinal Shear Stress in Web for I beam formula is defined as the shear stress experienced by the fibers in the web is calculated using Shear Stress = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2). To calculate Longitudinal Shear Stress in Web for I beam, you need Width of Flange (b_f), Shear Force (V), Width of Web (b_w), Area Moment of Inertia (I), Overall Depth of I Beam (D) & Depth of Web (d_w). With our tool, you need to enter the respective value for Width of Flange, Shear Force, Width of Web, Area Moment of Inertia, Overall Depth of I Beam & Depth of 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 this formula, Shear Stress uses Width of Flange, Shear Force, Width of Web, Area Moment of Inertia, Overall Depth of I Beam & Depth of Web. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress = (Shear Force/(8*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)

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