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

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

GoTransverse Shear for Longitudinal Shear Stress in Web for I Beam Formula

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Shear Force is the force which causes shear deformation to occur in the shear plane. Check FAQs

V = \frac{τ maxlongitudinal \cdot b w \cdot 8 \cdot I}{(b f \cdot (D^{2} - {d w}^{2})) + (b w \cdot ({d w}^{2}))}

V - Shear Force?τ_{maxlongitudinal} - Maximum Longitudinal Shear Stress?b_w - Width of Web?I - Area Moment of Inertia?b_f - Width of Flange?D - Overall Depth of I Beam?d_w - Depth of Web?

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

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Here is how the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam equation looks like with Values.

Here is how the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam equation looks like with Units.

Here is how the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam equation looks like.

18.006 = \frac{250.01 \cdot 0.04 \cdot 8 \cdot 3.6E+7}{(250 \cdot (800^{2} - 15^{2})) + (0.04 \cdot (15^{2}))}

18.006kN = \frac{250.01MPa \cdot 0.04m \cdot 8 \cdot 3.6E+7mm⁴}{(250mm \cdot ({800mm}^{2} - {15mm}^{2})) + (0.04m \cdot ({15mm}^{2}))}

18.006 = \frac{250.01 \cdot 0.04 \cdot 8 \cdot 3.6E+7}{(250 \cdot (800^{2} - 15^{2})) + (0.04 \cdot (15^{2}))}

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

Follow our step by step solution on how to calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam?

FIRST Step Consider the formula

V = \frac{τ maxlongitudinal \cdot b w \cdot 8 \cdot I}{(b f \cdot (D^{2} - {d w}^{2})) + (b w \cdot ({d w}^{2}))}

Next Step Substitute values of Variables

∴

V = \frac{250.01MPa \cdot 0.04m \cdot 8 \cdot 3.6E+7mm⁴}{(250mm \cdot ({800mm}^{2} - {15mm}^{2})) + (0.04m \cdot ({15mm}^{2}))}

Next Step Convert Units

∴

V = \frac{2.5E+8Pa \cdot 0.04m \cdot 8 \cdot 3.6E-5m⁴}{(0.25m \cdot ({0.8m}^{2} - {0.015m}^{2})) + (0.04m \cdot ({0.015m}^{2}))}

Next Step Prepare to Evaluate

∴

V = \frac{2.5E+8 \cdot 0.04 \cdot 8 \cdot 3.6E-5}{(0.25 \cdot ({0.8}^{2} - {0.015}^{2})) + (0.04 \cdot ({0.015}^{2}))}

Next Step Evaluate

∴

V = 18006.037407922N

Next Step Convert to Output's Unit

∴

V = 18.006037407922kN

LAST Step Rounding Answer

∴

V = 18.006kN

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

Variables

Shear Force

Shear Force is the force which causes shear deformation to occur in the shear plane.

Symbol: V

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Shear Force

Maximum Longitudinal Shear Stress

Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.

Symbol: τ_{maxlongitudinal}

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Longitudinal Shear Stress

Width of Web

Width of Web (bw) is the effective width of the member for flanged section.

Symbol: b_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width of Web

Area Moment of Inertia

Area Moment of Inertia is a moment about the centroidal axis without considering mass.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Width of Flange

Width of Flange is the dimension of the flange measured parallel to the neutral axis.

Symbol: b_f

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Flange

Overall Depth of I Beam

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.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Overall Depth of I Beam

Depth of Web

Depth of Web is the dimension of the web measured perpendicular to the neutral axis.

Symbol: d_w

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Depth of Web

Other Formulas to find Shear Force

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

V = \frac{8 \cdot I \cdot τ}{D^{2} - {d w}^{2}}

Go Transverse Shear for Longitudinal Shear Stress in Web for I Beam

V = \frac{8 \cdot I \cdot τ \cdot b w}{b f \cdot (D^{2} - {d w}^{2})}

Other formulas in I Beam category

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

τ = (\frac{V}{8 \cdot I}) \cdot (D^{2} - {d w}^{2})

Go Moment of Inertia given Longitudinal Shear Stress at lower edge in Flange of I beam

I = (\frac{V}{8 \cdot τ}) \cdot (D^{2} - {d w}^{2})

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam?

The formula of Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is expressed as 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))). Here is an example- 0.018005 = (250010000*0.04*8*3.6E-05)/((0.25*(0.8^2-0.015^2))+(0.04*(0.015^2))).

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

With 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) we can find Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam using the formula - 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))).

What are the other ways to Calculate Shear Force?

Here are the different ways to Calculate Shear Force-

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))

Can the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam be negative?

No, the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam, measured in Force cannot be negative.

Which unit is used to measure 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 is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam can be measured.

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

​GoTransverse Shear given Longitudinal Shear Stress in Flange for I beam Formula

​GoTransverse Shear for Longitudinal Shear Stress in Web for I Beam Formula

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

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

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

Other Formulas to find Shear Force

Other formulas in I Beam category

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

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

Variable Name

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

GoTransverse Shear for Longitudinal Shear Stress in Web for I Beam Formula