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Width of Section given Shear Stress at Junction of Top of Web Formula

GoWidth of Section given Moment of Flange Area about Neutral Axis Formula

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Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration. Check FAQs

B = \frac{𝜏 beam \cdot 8 \cdot I \cdot b}{F s \cdot (D^{2} - d^{2})}

B - Width of Beam Section?𝜏_beam - Shear Stress in Beam?I - Moment of Inertia of Area of Section?b - Thickness of Beam Web?F_s - Shear Force on Beam?D - Outer Depth of I section?d - Inner Depth of I Section?

Width of Section given Shear Stress at Junction of Top of Web Example

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Here is how the Width of Section given Shear Stress at Junction of Top of Web equation looks like with Values.

Here is how the Width of Section given Shear Stress at Junction of Top of Web equation looks like with Units.

Here is how the Width of Section given Shear Stress at Junction of Top of Web equation looks like.

1.4555 = \frac{6 \cdot 8 \cdot 0.0017 \cdot 7}{4.8 \cdot (9000^{2} - 450^{2})}

1.4555mm = \frac{6MPa \cdot 8 \cdot 0.0017m⁴ \cdot 7mm}{4.8kN \cdot ({9000mm}^{2} - {450mm}^{2})}

1.4555 = \frac{6 \cdot 8 \cdot 0.0017 \cdot 7}{4.8 \cdot (9000^{2} - 450^{2})}

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Width of Section given Shear Stress at Junction of Top of Web Solution

Follow our step by step solution on how to calculate Width of Section given Shear Stress at Junction of Top of Web?

FIRST Step Consider the formula

B = \frac{𝜏 beam \cdot 8 \cdot I \cdot b}{F s \cdot (D^{2} - d^{2})}

Next Step Substitute values of Variables

∴

B = \frac{6MPa \cdot 8 \cdot 0.0017m⁴ \cdot 7mm}{4.8kN \cdot ({9000mm}^{2} - {450mm}^{2})}

Next Step Convert Units

∴

B = \frac{6E+6Pa \cdot 8 \cdot 0.0017m⁴ \cdot 0.007m}{4800N \cdot ({9m}^{2} - {0.45m}^{2})}

Next Step Prepare to Evaluate

∴

B = \frac{6E+6 \cdot 8 \cdot 0.0017 \cdot 0.007}{4800 \cdot (9^{2} - {0.45}^{2})}

Next Step Evaluate

∴

B = 0.0014554905782976m

Next Step Convert to Output's Unit

∴

B = 1.4554905782976mm

LAST Step Rounding Answer

∴

B = 1.4555mm

Width of Section given Shear Stress at Junction of Top of Web Formula Elements

Variables

Width of Beam Section

Width of Beam Section is the width of the rectangular cross-section of the beam parallel to the axis in consideration.

Symbol: B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Width of Beam Section

Shear Stress in Beam

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

Symbol: 𝜏_beam

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in Beam

Moment of Inertia of Area of Section

Moment of Inertia of Area of Section is the second moment of the area of the section about the neutral axis.

Symbol: I

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Area of Section

Thickness of Beam Web

Thickness of Beam Web is the thickness of the vertical piece that connects the two flanges.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Beam Web

Shear Force on Beam

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

Symbol: F_s

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Force on Beam

Outer Depth of I section

The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Depth of I section

Inner Depth of I Section

Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Depth of I Section

Other Formulas to find Width of Beam Section

Go Width of Section given Moment of Flange Area about Neutral Axis

B = \frac{8 \cdot I}{D^{2} - d^{2}}

Other formulas in Shear Stress Distribution in Web category

Go Thickness of Web given Shear Stress at Junction of Top of Web

b = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot I \cdot 𝜏 beam}

Go Moment of Inertia of Section given Shear Stress at Junction of Top of Web

I = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot 𝜏 beam \cdot b}

How to Evaluate Width of Section given Shear Stress at Junction of Top of Web?

Width of Section given Shear Stress at Junction of Top of Web evaluator uses Width of Beam Section = (Shear Stress in Beam*8*Moment of Inertia of Area of Section*Thickness of Beam Web)/(Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2)) to evaluate the Width of Beam Section, The Width of Section given Shear Stress at Junction of Top of Web formula is defined as the width of a section at the junction of the top of the web in an I-section beam, which is a critical parameter in determining the beam's structural integrity and resistance to shear stress. Width of Beam Section is denoted by B symbol.

How to evaluate Width of Section given Shear Stress at Junction of Top of Web using this online evaluator? To use this online evaluator for Width of Section given Shear Stress at Junction of Top of Web, enter Shear Stress in Beam (𝜏_beam), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Shear Force on Beam (F_s), Outer Depth of I section (D) & Inner Depth of I Section (d) and hit the calculate button.

FAQs on Width of Section given Shear Stress at Junction of Top of Web

What is the formula to find Width of Section given Shear Stress at Junction of Top of Web?

The formula of Width of Section given Shear Stress at Junction of Top of Web is expressed as Width of Beam Section = (Shear Stress in Beam*8*Moment of Inertia of Area of Section*Thickness of Beam Web)/(Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2)). Here is an example- 1455.491 = (6000000*8*0.00168*0.007)/(4800*(9^2-0.45^2)).

How to calculate Width of Section given Shear Stress at Junction of Top of Web?

With Shear Stress in Beam (𝜏_beam), Moment of Inertia of Area of Section (I), Thickness of Beam Web (b), Shear Force on Beam (F_s), Outer Depth of I section (D) & Inner Depth of I Section (d) we can find Width of Section given Shear Stress at Junction of Top of Web using the formula - Width of Beam Section = (Shear Stress in Beam*8*Moment of Inertia of Area of Section*Thickness of Beam Web)/(Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2)).

What are the other ways to Calculate Width of Beam Section?

Here are the different ways to Calculate Width of Beam Section-

Width of Beam Section=(8*Moment of Inertia of Area of Section)/(Outer Depth of I section^2-Inner Depth of I Section^2)

Can the Width of Section given Shear Stress at Junction of Top of Web be negative?

Yes, the Width of Section given Shear Stress at Junction of Top of Web, measured in Length can be negative.

Which unit is used to measure Width of Section given Shear Stress at Junction of Top of Web?

Width of Section given Shear Stress at Junction of Top of Web is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Width of Section given Shear Stress at Junction of Top of Web can be measured.

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Width of Section given Shear Stress at Junction of Top of Web Formula

​GoWidth of Section given Moment of Flange Area about Neutral Axis Formula

Width of Section given Shear Stress at Junction of Top of Web Example

Width of Section given Shear Stress at Junction of Top of Web Solution

Width of Section given Shear Stress at Junction of Top of Web Formula Elements

Other Formulas to find Width of Beam Section

Other formulas in Shear Stress Distribution in Web category

How to Evaluate Width of Section given Shear Stress at Junction of Top of Web?

FAQs on Width of Section given Shear Stress at Junction of Top of Web

Variable Name

GoWidth of Section given Moment of Flange Area about Neutral Axis Formula