Longitudinal Shear Stress in Flange at Lower Depth of I beam Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+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 Flange at Lower Depth of I beam [τ]

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Longitudinal Shear Stress in Flange at Lower Depth of I beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = (Shear Force/(8*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)
τ = (V/(8*I))*(D^2-d_w^2)
This formula uses 5 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.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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

Shear Force: 24.8 Kilonewton --> 24800 Newton (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

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

Evaluating ... ...

τ = 55091736.1111111

STEP 3: Convert Result to Output's Unit

55091736.1111111 Pascal -->55.0917361111111 Megapascal (Check conversion here)

FINAL ANSWER

55.0917361111111 ≈ 55.09174 Megapascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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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)

Longitudinal Shear Stress in Flange at Lower Depth of I beam Formula

LaTeX Go

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

How to Calculate Longitudinal Shear Stress in Flange at Lower Depth of I beam?

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

How to calculate Longitudinal Shear Stress in Flange at Lower Depth of I beam using this online calculator? To use this online calculator for Longitudinal Shear Stress in Flange at Lower Depth of I beam, enter Shear Force (V), 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 Flange at Lower Depth of I beam calculation can be explained with given input values -> 5.5E-5 = (24800/(8*3.6E-05))*(0.8^2-0.015^2).

FAQ

What is Longitudinal Shear Stress in Flange at Lower Depth of I beam?

The Longitudinal Shear Stress in Flange at Lower Depth of I beam formula is defined as the shear stress experienced by the fibers in the flange and is represented as τ = (V/(8*I))*(D^2-d_w^2) or Shear Stress = (Shear Force/(8*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2). Shear Force is the force which causes shear deformation to occur in the shear plane, 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 Flange at Lower Depth of I beam?

The Longitudinal Shear Stress in Flange at Lower Depth of I beam formula is defined as the shear stress experienced by the fibers in the flange is calculated using Shear Stress = (Shear Force/(8*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2). To calculate Longitudinal Shear Stress in Flange at Lower Depth of I beam, you need Shear Force (V), 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 Shear Force, 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 Shear Force, 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 = ((Width of Flange*Shear Force)/(8*Width of Web*Area Moment of Inertia))*(Overall Depth of I Beam^2-Depth of Web^2)

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