Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam Calculator

✖Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Longitudinal Shear Stress [τ_{maxlongitudinal}]			+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%
✖Width of Flange is the dimension of the flange measured parallel to the neutral axis.ⓘ Width of Flange [b_f]			+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 force given Maximum Longitudinal Shear Stress in Web for I beam [V]

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Formula

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Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam

Formula

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

Example

`"18.00604kN"=("250.01MPa"*".040m"*8*"36000000mm⁴")/(("250mm"*(("800mm")^2-("15mm")^2))+(".040m"*(("15mm")^2)))`

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Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
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 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.
Width of Flange - (Measured in Meter) - Width of Flange is the dimension of the flange measured parallel to the neutral axis.
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

Maximum Longitudinal Shear Stress: 250.01 Megapascal --> 250010000 Pascal (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)
Width of Flange: 250 Millimeter --> 0.25 Meter (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 = (τ_{maxlongitudinal}*b_w*8*I)/((b_f*(D^2-d_w^2))+(b_w*(d_w^2))) --> (250010000*0.04*8*3.6E-05)/((0.25*(0.8^2-0.015^2))+(0.04*(0.015^2)))

Evaluating ... ...

V = 18006.037407922

STEP 3: Convert Result to Output's Unit

18006.037407922 Newton -->18.006037407922 Kilonewton (Check conversion here)

FINAL ANSWER

18.006037407922 ≈ 18.00604 Kilonewton <-- Shear Force

(Calculation completed in 00.004 seconds)

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

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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 force given Maximum Longitudinal Shear Stress in Web for I beam Formula

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 Transverse shear stress?

The shear stress due to bending is often referred to as transverse shear. Unlike normal stress, the highest stress value occurs at the neutral axis, while there is no stress on the walls.

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

Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam calculator uses 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))) to calculate the Shear Force, The Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is defined as the shear force that causes both longitudinal and transverse shear stresses in the I-beam. When a transverse shear force is applied, it tends to cause warping of the cross section. Shear Force is denoted by V symbol.

How to calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam using this online calculator? To use this online calculator for Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam, enter Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}), Width of Web (b_w), Area Moment of Inertia (I), Width of Flange (b_f), Overall Depth of I Beam (D) & Depth of Web (d_w) and hit the calculate button. Here is how the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam calculation can be explained with given input values -> 0.018005 = (250010000*0.04*8*3.6E-05)/((0.25*(0.8^2-0.015^2))+(0.04*(0.015^2))).

FAQ

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

The Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is defined as the shear force that causes both longitudinal and transverse shear stresses in the I-beam. When a transverse shear force is applied, it tends to cause warping of the cross section and is represented as V = (τ_{maxlongitudinal}*b_w*8*I)/((b_f*(D^2-d_w^2))+(b_w*(d_w^2))) or 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))). Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area, 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, Width of Flange is the dimension of the flange measured parallel to the neutral axis, 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 force given Maximum Longitudinal Shear Stress in Web for I beam?

The Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is defined as the shear force that causes both longitudinal and transverse shear stresses in the I-beam. When a transverse shear force is applied, it tends to cause warping of the cross section is calculated using 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))). To calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam, you need Maximum Longitudinal Shear Stress (τ_{maxlongitudinal}), Width of Web (b_w), Area Moment of Inertia (I), Width of Flange (b_f), Overall Depth of I Beam (D) & Depth of Web (d_w). With our tool, you need to enter the respective value for Maximum Longitudinal Shear Stress, Width of Web, Area Moment of Inertia, Width of Flange, 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 Maximum Longitudinal Shear Stress, Width of Web, Area Moment of Inertia, Width of Flange, 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 = (8*Area Moment of Inertia*Shear Stress)/(Overall Depth of I Beam^2-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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