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Breadth of Web given Longitudinal Shear Stress in Web for I beam Formula

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

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

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

Breadth of Web given Longitudinal Shear Stress in Web for I beam Example

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

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

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

0.2504 = (\frac{250 \cdot 24.8}{8 \cdot 55 \cdot 3.6E+7}) \cdot (800^{2} - 15^{2})

0.2504m = (\frac{250mm \cdot 24.8kN}{8 \cdot 55MPa \cdot 3.6E+7mm⁴}) \cdot ({800mm}^{2} - {15mm}^{2})

0.2504 = (\frac{250 \cdot 24.8}{8 \cdot 55 \cdot 3.6E+7}) \cdot (800^{2} - 15^{2})

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Strength of Materials » fx Breadth of Web given Longitudinal Shear Stress in Web for I beam

Breadth of Web given Longitudinal Shear Stress in Web for I beam Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b w = (\frac{250mm \cdot 24.8kN}{8 \cdot 55MPa \cdot 3.6E+7mm⁴}) \cdot ({800mm}^{2} - {15mm}^{2})

Next Step Convert Units

∴

b w = (\frac{0.25m \cdot 24800N}{8 \cdot 5.5E+7Pa \cdot 3.6E-5m⁴}) \cdot ({0.8m}^{2} - {0.015m}^{2})

Next Step Prepare to Evaluate

∴

b w = (\frac{0.25 \cdot 24800}{8 \cdot 5.5E+7 \cdot 3.6E-5}) \cdot ({0.8}^{2} - {0.015}^{2})

Next Step Evaluate

∴

b w = 0.250416982323232m

LAST Step Rounding Answer

∴

b w = 0.2504m

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

Variables

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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}}

See More

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

Breadth of Web given Longitudinal Shear Stress in Web for I beam evaluator uses 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) to evaluate the Width of Web, The breadth of Web given Longitudinal Shear Stress in Web for I beam is defined as breadth of web of considered I beam. Width of Web is denoted by b_w symbol.

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

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

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

The formula of Breadth of Web given Longitudinal Shear Stress in Web for I beam is expressed as 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). Here is an example- 0.250417 = ((0.25*24800)/(8*55000000*3.6E-05))*(0.8^2-0.015^2).

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

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

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

Yes, the Breadth of Web given Longitudinal Shear Stress in Web for I beam, measured in Length can be negative.

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

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

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