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

✖Area Moment of Inertia is a moment about the centroidal axis without considering mass.ⓘ Area Moment of Inertia [I]			+10% -10%
✖Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress [τ]			+10% -10%
✖Width of Web (bw) is the effective width of the member for flanged section.ⓘ Width of Web [b_w]			+10% -10%
✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+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%

✖Width of Flange is the dimension of the flange measured parallel to the neutral axis.ⓘ Breadth of Flange Given Longitudinal Shear Stress in Web for I beam [b_f]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
b_f = (8*I*τ*b_w)/(V*(D^2-d_w^2))
This formula uses 7 Variables

Variables Used

Width of Flange - (Measured in Meter) - Width of Flange is the dimension of the flange measured parallel to the neutral axis.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a moment about the centroidal axis without considering mass.
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 Web - (Measured in Meter) - Width of Web (bw) is the effective width of the member for flanged section.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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

Area Moment of Inertia: 36000000 Millimeter⁴ --> 3.6E-05 Meter⁴ (Check conversion here)
Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)
Width of Web: 0.04 Meter --> 0.04 Meter No Conversion Required
Shear Force: 24.8 Kilonewton --> 24800 Newton (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

b_f = (8*I*τ*b_w)/(V*(D^2-d_w^2)) --> (8*3.6E-05*55000000*0.04)/(24800*(0.8^2-0.015^2))

Evaluating ... ...

b_f = 0.0399333939225106

STEP 3: Convert Result to Output's Unit

0.0399333939225106 Meter -->39.9333939225106 Millimeter (Check conversion here)

FINAL ANSWER

39.9333939225106 ≈ 39.93339 Millimeter <-- Width of Flange

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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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)

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

LaTeX 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))
b_f = (8*I*τ*b_w)/(V*(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.

How to Calculate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam calculator uses 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)) to calculate the Width of Flange, The Breadth of Flange Given Longitudinal Shear Stress in Web for I beam is defined as measure of breadth of flange of considered I beam. Width of Flange is denoted by b_f symbol.

How to calculate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam using this online calculator? To use this online calculator for Breadth of Flange Given Longitudinal Shear Stress in Web for I beam, enter Area Moment of Inertia (I), Shear Stress (τ), Width of Web (b_w), Shear Force (V), Overall Depth of I Beam (D) & Depth of Web (d_w) and hit the calculate button. Here is how the Breadth of Flange Given Longitudinal Shear Stress in Web for I beam calculation can be explained with given input values -> 39933.39 = (8*3.6E-05*55000000*0.04)/(24800*(0.8^2-0.015^2)).

FAQ

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

The Breadth of Flange Given Longitudinal Shear Stress in Web for I beam is defined as measure of breadth of flange of considered I beam and is represented as b_f = (8*I*τ*b_w)/(V*(D^2-d_w^2)) or 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)). Area Moment of Inertia is a moment about the centroidal axis without considering mass, Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, Width of Web (bw) is the effective width of the member for flanged section, Shear Force is the force which causes shear deformation to occur in the shear plane, 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 Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

The Breadth of Flange Given Longitudinal Shear Stress in Web for I beam is defined as measure of breadth of flange of considered I beam is calculated using 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)). To calculate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam, you need Area Moment of Inertia (I), Shear Stress (τ), Width of Web (b_w), Shear Force (V), Overall Depth of I Beam (D) & Depth of Web (d_w). With our tool, you need to enter the respective value for Area Moment of Inertia, Shear Stress, Width of Web, Shear Force, 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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