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Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Formula

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

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

b_f - Width of Flange?I - Area Moment of Inertia?τ - Shear Stress?b_w - Width of Web?V - Shear Force?D - Overall Depth of I Beam?d_w - Depth of Web?

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Example

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Here is how the Breadth of Flange Given Longitudinal Shear Stress in Web for I beam equation looks like with Values.

Here is how the Breadth of Flange Given Longitudinal Shear Stress in Web for I beam equation looks like with Units.

Here is how the Breadth of Flange Given Longitudinal Shear Stress in Web for I beam equation looks like.

39.9334 = \frac{8 \cdot 3.6E+7 \cdot 55 \cdot 0.04}{24.8 \cdot (800^{2} - 15^{2})}

39.9334mm = \frac{8 \cdot 3.6E+7mm⁴ \cdot 55MPa \cdot 0.04m}{24.8kN \cdot ({800mm}^{2} - {15mm}^{2})}

39.9334 = \frac{8 \cdot 3.6E+7 \cdot 55 \cdot 0.04}{24.8 \cdot (800^{2} - 15^{2})}

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Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Solution

Follow our step by step solution on how to calculate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b f = \frac{8 \cdot 3.6E+7mm⁴ \cdot 55MPa \cdot 0.04m}{24.8kN \cdot ({800mm}^{2} - {15mm}^{2})}

Next Step Convert Units

∴

b f = \frac{8 \cdot 3.6E-5m⁴ \cdot 5.5E+7Pa \cdot 0.04m}{24800N \cdot ({0.8m}^{2} - {0.015m}^{2})}

Next Step Prepare to Evaluate

∴

b f = \frac{8 \cdot 3.6E-5 \cdot 5.5E+7 \cdot 0.04}{24800 \cdot ({0.8}^{2} - {0.015}^{2})}

Next Step Evaluate

∴

b f = 0.0399333939225106m

Next Step Convert to Output's Unit

∴

b f = 39.9333939225106mm

LAST Step Rounding Answer

∴

b f = 39.9334mm

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Formula Elements

Variables

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

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

Shear Stress

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: τ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find 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

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

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 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 Transverse Shear given Longitudinal Shear Stress in Flange for I beam

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

How to Evaluate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam evaluator uses 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)) to evaluate the Width of Flange, The Breadth of Flange Given Longitudinal Shear Stress in Web for I beam is defined as measure of breadth of flange of considered I beam. Width of Flange is denoted by b_f symbol.

How to evaluate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam using this online evaluator? To use this online evaluator for Breadth of Flange Given Longitudinal Shear Stress in Web for I beam, enter Area Moment of Inertia (I), Shear Stress (τ), Width of Web (b_w), Shear Force (V), Overall Depth of I Beam (D) & Depth of Web (d_w) and hit the calculate button.

FAQs on Breadth of Flange Given Longitudinal Shear Stress in Web for I beam

What is the formula to find Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

The formula of Breadth of Flange Given Longitudinal Shear Stress in Web for I beam is expressed as 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)). Here is an example- 39933.39 = (8*3.6E-05*55000000*0.04)/(24800*(0.8^2-0.015^2)).

How to calculate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

With Area Moment of Inertia (I), Shear Stress (τ), Width of Web (b_w), Shear Force (V), Overall Depth of I Beam (D) & Depth of Web (d_w) we can find Breadth of Flange Given Longitudinal Shear Stress in Web for I beam using the formula - 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)).

Can the Breadth of Flange Given Longitudinal Shear Stress in Web for I beam be negative?

No, the Breadth of Flange Given Longitudinal Shear Stress in Web for I beam, measured in Length cannot be negative.

Which unit is used to measure Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Breadth of Flange Given Longitudinal Shear Stress in Web for I beam can be measured.

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Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Formula

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Example

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Solution

Breadth of Flange Given Longitudinal Shear Stress in Web for I beam Formula Elements

Other formulas in I Beam category

How to Evaluate Breadth of Flange Given Longitudinal Shear Stress in Web for I beam?

FAQs on Breadth of Flange Given Longitudinal Shear Stress in Web for I beam

Variable Name