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Thickness of Web given Shear Stress of Web Formula

GoThickness of Web given Shear Stress at Junction of Top of Web Formula

GoThickness of Web given Maximum Shear Stress and Force Formula

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

b = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot I \cdot 𝜏 beam - F s \cdot (d^{2} - 4 \cdot y^{2})}

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

Thickness of Web given Shear Stress of Web Example

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Here is how the Thickness of Web given Shear Stress of Web equation looks like with Values.

Here is how the Thickness of Web given Shear Stress of Web equation looks like with Units.

Here is how the Thickness of Web given Shear Stress of Web equation looks like.

486.8023 = \frac{4.8 \cdot 100 \cdot (9000^{2} - 450^{2})}{8 \cdot 0.0017 \cdot 6 - 4.8 \cdot (450^{2} - 4 \cdot 5^{2})}

486.8023mm = \frac{4.8kN \cdot 100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8 \cdot 0.0017m⁴ \cdot 6MPa - 4.8kN \cdot ({450mm}^{2} - 4 \cdot {5mm}^{2})}

486.8023 = \frac{4.8 \cdot 100 \cdot (9000^{2} - 450^{2})}{8 \cdot 0.0017 \cdot 6 - 4.8 \cdot (450^{2} - 4 \cdot 5^{2})}

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Thickness of Web given Shear Stress of Web Solution

Follow our step by step solution on how to calculate Thickness of Web given Shear Stress of Web?

FIRST Step Consider the formula

b = \frac{F s \cdot B \cdot (D^{2} - d^{2})}{8 \cdot I \cdot 𝜏 beam - F s \cdot (d^{2} - 4 \cdot y^{2})}

Next Step Substitute values of Variables

∴

b = \frac{4.8kN \cdot 100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8 \cdot 0.0017m⁴ \cdot 6MPa - 4.8kN \cdot ({450mm}^{2} - 4 \cdot {5mm}^{2})}

Next Step Convert Units

∴

b = \frac{4800N \cdot 0.1m \cdot ({9m}^{2} - {0.45m}^{2})}{8 \cdot 0.0017m⁴ \cdot 6E+6Pa - 4800N \cdot ({0.45m}^{2} - 4 \cdot {0.005m}^{2})}

Next Step Prepare to Evaluate

∴

b = \frac{4800 \cdot 0.1 \cdot (9^{2} - {0.45}^{2})}{8 \cdot 0.0017 \cdot 6E+6 - 4800 \cdot ({0.45}^{2} - 4 \cdot {0.005}^{2})}

Next Step Evaluate

∴

b = 0.486802308767533m

Next Step Convert to Output's Unit

∴

b = 486.802308767533mm

LAST Step Rounding Answer

∴

b = 486.8023mm

Thickness of Web given Shear Stress of Web Formula Elements

Variables

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

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

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

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

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

Distance from Neutral Axis

Distance from Neutral Axis is the distance of the considered layer from the neutral layer.

Symbol: y

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Distance from Neutral Axis

Other Formulas to find Thickness of Beam Web

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 Thickness of Web given Maximum Shear Stress and Force

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

Other formulas in Shear Stress Distribution in Web category

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

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

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 Thickness of Web given Shear Stress of Web?

Thickness of Web given Shear Stress of Web evaluator uses Thickness of Beam Web = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam-Shear Force on Beam*(Inner Depth of I Section^2-4*Distance from Neutral Axis^2)) to evaluate the Thickness of Beam Web, The Thickness of Web given Shear Stress of Web formula is defined as the measurement of the thickness of a web in an I-section beam, which is critical in determining the beam's structural integrity and resistance to shear stress, ensuring the safety and reliability of the overall structure. Thickness of Beam Web is denoted by b symbol.

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

FAQs on Thickness of Web given Shear Stress of Web

What is the formula to find Thickness of Web given Shear Stress of Web?

The formula of Thickness of Web given Shear Stress of Web is expressed as Thickness of Beam Web = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam-Shear Force on Beam*(Inner Depth of I Section^2-4*Distance from Neutral Axis^2)). Here is an example- 486802.3 = (4800*0.1*(9^2-0.45^2))/(8*0.00168*6000000-4800*(0.45^2-4*0.005^2)).

How to calculate Thickness of Web given Shear Stress of Web?

With Shear Force on Beam (F_s), Width of Beam Section (B), Outer Depth of I section (D), Inner Depth of I Section (d), Moment of Inertia of Area of Section (I), Shear Stress in Beam (𝜏_beam) & Distance from Neutral Axis (y) we can find Thickness of Web given Shear Stress of Web using the formula - Thickness of Beam Web = (Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam-Shear Force on Beam*(Inner Depth of I Section^2-4*Distance from Neutral Axis^2)).

What are the other ways to Calculate Thickness of Beam Web?

Here are the different ways to Calculate Thickness of Beam Web-

Thickness of Beam Web=(Shear Force on Beam*Width of Beam Section*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam)
Thickness of Beam Web=(Width of Beam Section*Shear Force on Beam*(Outer Depth of I section^2-Inner Depth of I Section^2))/(8*Moment of Inertia of Area of Section*Shear Stress in Beam-Shear Force on Beam*Inner Depth of I Section^2)
Thickness of Beam Web=(2*Moment of Inertia of Area of Section)/((Inner Depth of I Section^2)/4-Distance from Neutral Axis^2)

Can the Thickness of Web given Shear Stress of Web be negative?

No, the Thickness of Web given Shear Stress of Web, measured in Length cannot be negative.

Which unit is used to measure Thickness of Web given Shear Stress of Web?

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

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Thickness of Web given Shear Stress of Web Formula

​GoThickness of Web given Shear Stress at Junction of Top of Web Formula

​GoThickness of Web given Maximum Shear Stress and Force Formula

Thickness of Web given Shear Stress of Web Example

Thickness of Web given Shear Stress of Web Solution

Thickness of Web given Shear Stress of Web Formula Elements

Other Formulas to find Thickness of Beam Web

Other formulas in Shear Stress Distribution in Web category

How to Evaluate Thickness of Web given Shear Stress of Web?

FAQs on Thickness of Web given Shear Stress of Web

Variable Name

GoThickness of Web given Shear Stress at Junction of Top of Web Formula

GoThickness of Web given Maximum Shear Stress and Force Formula