Breadth of Web given 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%
✖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%
✖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%

✖Width of Web (bw) is the effective width of the member for flanged section.ⓘ Breadth of Web given Longitudinal Shear Stress in Web for I beam [b_w]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Width of Web - (Measured in Meter) - Width of Web (bw) is the effective width of the member for flanged section.
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.
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.
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)
Shear Stress: 55 Megapascal --> 55000000 Pascal (Check conversion here)
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

b_w = ((b_f*V)/(8*τ*I))*(D^2-d_w^2) --> ((0.25*24800)/(8*55000000*3.6E-05))*(0.8^2-0.015^2)

Evaluating ... ...

b_w = 0.250416982323232

STEP 3: Convert Result to Output's Unit

0.250416982323232 Meter --> No Conversion Required

FINAL ANSWER

0.250416982323232 ≈ 0.250417 Meter <-- Width of Web

(Calculation completed in 00.008 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 Web given Longitudinal Shear Stress in Web for I beam Formula

LaTeX 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)
b_w = ((b_f*V)/(8*τ*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 T beam.

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

Breadth of Web given Longitudinal Shear Stress in Web for I beam calculator uses 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) to calculate the Width of Web, The breadth of Web given Longitudinal Shear Stress in Web for I beam is defined as breadth of web of considered I beam. Width of Web is denoted by b_w symbol.

How to calculate Breadth of Web given Longitudinal Shear Stress in Web for I beam using this online calculator? To use this online calculator for Breadth of Web given Longitudinal Shear Stress in Web for I beam, enter Width of Flange (b_f), Shear Force (V), Shear Stress (τ), 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 Breadth of Web given Longitudinal Shear Stress in Web for I beam calculation can be explained with given input values -> 0.250417 = ((0.25*24800)/(8*55000000*3.6E-05))*(0.8^2-0.015^2).

FAQ

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

The breadth of Web given Longitudinal Shear Stress in Web for I beam is defined as breadth of web of considered I beam and is represented as b_w = ((b_f*V)/(8*τ*I))*(D^2-d_w^2) or 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). 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, Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, 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 Breadth of Web given Longitudinal Shear Stress in Web for I beam?

The breadth of Web given Longitudinal Shear Stress in Web for I beam is defined as breadth of web of considered I beam is calculated using 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). To calculate Breadth of Web given Longitudinal Shear Stress in Web for I beam, you need Width of Flange (b_f), Shear Force (V), Shear Stress (τ), 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, Shear Stress, 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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