Transverse Shear given Longitudinal Shear Stress in Flange 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%
✖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 Force is the force which causes shear deformation to occur in the shear plane.ⓘ Transverse Shear given Longitudinal Shear Stress in Flange for I beam [V]

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Transverse Shear given Longitudinal Shear Stress in Flange for I beam

Formula

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

Example

`"24.7587kN"=(8*"36000000mm⁴"*"55MPa")/(("800mm")^2-("15mm")^2)`

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Transverse Shear given Longitudinal Shear Stress in Flange for I beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Force = (8*Area Moment of Inertia*Shear Stress)/(Overall Depth of I Beam^2-Depth of Web^2)
V = (8*I*τ)/(D^2-d_w^2)
This formula uses 5 Variables

Variables Used

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.
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.
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)
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

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

Evaluating ... ...

V = 24758.7042319565

STEP 3: Convert Result to Output's Unit

24758.7042319565 Newton -->24.7587042319565 Kilonewton (Check conversion here)

FINAL ANSWER

24.7587042319565 ≈ 24.7587 Kilonewton <-- Shear Force

(Calculation completed in 00.004 seconds)

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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)

Transverse Shear given Longitudinal Shear Stress in Flange for I beam Formula

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

What is Transverse Shear Stress?

The shear stress due to bending is often referred to as transverse shear. Like the normal stress there is a stress profile that is based off of the neutral axis of the particular cross-sectional area. Unlike normal stress, the highest stress value occurs at the neutral axis, while there is no stress on the walls.

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 Transverse Shear given Longitudinal Shear Stress in Flange for I beam?

Transverse Shear given Longitudinal Shear Stress in Flange for I beam calculator uses Shear Force = (8*Area Moment of Inertia*Shear Stress)/(Overall Depth of I Beam^2-Depth of Web^2) to calculate the Shear Force, The Transverse Shear given Longitudinal Shear Stress in Flange for I beam is defined as the shearing force acting on the plane under consideration. Shear Force is denoted by V symbol.

How to calculate Transverse Shear given Longitudinal Shear Stress in Flange for I beam using this online calculator? To use this online calculator for Transverse Shear given Longitudinal Shear Stress in Flange for I beam, enter Area Moment of Inertia (I), Shear Stress (τ), Overall Depth of I Beam (D) & Depth of Web (d_w) and hit the calculate button. Here is how the Transverse Shear given Longitudinal Shear Stress in Flange for I beam calculation can be explained with given input values -> 0.024759 = (8*3.6E-05*55000000)/(0.8^2-0.015^2).

FAQ

What is Transverse Shear given Longitudinal Shear Stress in Flange for I beam?

The Transverse Shear given Longitudinal Shear Stress in Flange for I beam is defined as the shearing force acting on the plane under consideration and is represented as V = (8*I*τ)/(D^2-d_w^2) or Shear Force = (8*Area Moment of Inertia*Shear Stress)/(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, 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 Transverse Shear given Longitudinal Shear Stress in Flange for I beam?

The Transverse Shear given Longitudinal Shear Stress in Flange for I beam is defined as the shearing force acting on the plane under consideration is calculated using Shear Force = (8*Area Moment of Inertia*Shear Stress)/(Overall Depth of I Beam^2-Depth of Web^2). To calculate Transverse Shear given Longitudinal Shear Stress in Flange for I beam, you need Area Moment of Inertia (I), Shear Stress (τ), 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, 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 Force?

In this formula, Shear Force uses Area Moment of Inertia, Shear Stress, Overall Depth of I Beam & Depth of Web. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))
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))

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