Maximum 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%

✖Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Longitudinal Shear Stress in Web for I beam [τ_{maxlongitudinal}]

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Maximum Longitudinal Shear Stress in Web for I beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
τ_{maxlongitudinal} = (((b_f*V)/(8*b_w*I)*(D^2-d_w^2)))+((V*d_w^2)/(8*I))
This formula uses 7 Variables

Variables Used

Maximum Longitudinal Shear Stress - (Measured in Pascal) - Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.
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_{maxlongitudinal} = (((b_f*V)/(8*b_w*I)*(D^2-d_w^2)))+((V*d_w^2)/(8*I)) --> (((0.25*24800)/(8*0.04*3.6E-05)*(0.8^2-0.015^2)))+((24800*0.015^2)/(8*3.6E-05))

Evaluating ... ...

τ_{maxlongitudinal} = 344342725.694444

STEP 3: Convert Result to Output's Unit

344342725.694444 Pascal -->344.342725694444 Megapascal (Check conversion here)

FINAL ANSWER

344.342725694444 ≈ 344.3427 Megapascal <-- Maximum Longitudinal Shear Stress

(Calculation completed in 00.004 seconds)

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

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< I Beam Calculators

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

LaTeX 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)

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

LaTeX 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

LaTeX 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

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

Maximum Longitudinal Shear Stress in Web for I beam Formula

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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.

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

Maximum Longitudinal Shear Stress in Web for I beam calculator uses 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)) to calculate the Maximum Longitudinal Shear Stress, The Maximum Longitudinal Shear Stress in Web for I beam formula is defined as maximum of all the calculated longitudinal shear stresses experienced by the beam. Maximum Longitudinal Shear Stress is denoted by τ_{maxlongitudinal} symbol.

How to calculate Maximum Longitudinal Shear Stress in Web for I beam using this online calculator? To use this online calculator for Maximum 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 Maximum 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)))+((24800*0.015^2)/(8*3.6E-05)).

FAQ

What is Maximum Longitudinal Shear Stress in Web for I beam?

The Maximum Longitudinal Shear Stress in Web for I beam formula is defined as maximum of all the calculated longitudinal shear stresses experienced by the beam and is represented as τ_{maxlongitudinal} = (((b_f*V)/(8*b_w*I)*(D^2-d_w^2)))+((V*d_w^2)/(8*I)) or 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)). 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 Maximum Longitudinal Shear Stress in Web for I beam?

The Maximum Longitudinal Shear Stress in Web for I beam formula is defined as maximum of all the calculated longitudinal shear stresses experienced by the beam is calculated using 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)). To calculate Maximum 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.

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