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Thickness of Web given Maximum Shear Stress and Force Formula

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

GoThickness of Web given Shear Stress of Web 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{B \cdot F s \cdot (D^{2} - d^{2})}{8 \cdot I \cdot 𝜏 beam - F s \cdot d^{2}}

b - Thickness of Beam Web?B - Width of Beam Section?F_s - Shear Force on Beam?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?

Thickness of Web given Maximum Shear Stress and Force Example

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

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

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

486.8052 = \frac{100 \cdot 4.8 \cdot (9000^{2} - 450^{2})}{8 \cdot 0.0017 \cdot 6 - 4.8 \cdot 450^{2}}

486.8052mm = \frac{100mm \cdot 4.8kN \cdot ({9000mm}^{2} - {450mm}^{2})}{8 \cdot 0.0017m⁴ \cdot 6MPa - 4.8kN \cdot {450mm}^{2}}

486.8052 = \frac{100 \cdot 4.8 \cdot (9000^{2} - 450^{2})}{8 \cdot 0.0017 \cdot 6 - 4.8 \cdot 450^{2}}

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Thickness of Web given Maximum Shear Stress and Force Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

b = 0.486805241753276m

Next Step Convert to Output's Unit

∴

b = 486.805241753276mm

LAST Step Rounding Answer

∴

b = 486.8052mm

Thickness of Web given Maximum Shear Stress and Force 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

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 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

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

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 Shear Stress of Web

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})}

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 Maximum Shear Stress and Force?

Thickness of Web given Maximum Shear Stress and Force evaluator uses 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) to evaluate the Thickness of Beam Web, The Thickness of Web given Maximum Shear Stress and Force formula is defined as the measurement of the web's thickness in an I-section beam, considering the maximum shear stress and force applied, which is crucial in determining the beam's structural integrity and resistance to deformation. Thickness of Beam Web is denoted by b symbol.

How to evaluate Thickness of Web given Maximum Shear Stress and Force using this online evaluator? To use this online evaluator for Thickness of Web given Maximum Shear Stress and Force, enter Width of Beam Section (B), Shear Force on Beam (F_s), 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) and hit the calculate button.

FAQs on Thickness of Web given Maximum Shear Stress and Force

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

The formula of Thickness of Web given Maximum Shear Stress and Force is expressed as 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). Here is an example- 486805.2 = (0.1*4800*(9^2-0.45^2))/(8*0.00168*6000000-4800*0.45^2).

How to calculate Thickness of Web given Maximum Shear Stress and Force?

With Width of Beam Section (B), Shear Force on Beam (F_s), 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) we can find Thickness of Web given Maximum Shear Stress and Force using the formula - 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).

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=(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))
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 Maximum Shear Stress and Force be negative?

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

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

Thickness of Web given Maximum Shear Stress and Force 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 Maximum Shear Stress and Force can be measured.

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Thickness of Web given Maximum Shear Stress and Force Formula

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

​GoThickness of Web given Shear Stress of Web Formula

Thickness of Web given Maximum Shear Stress and Force Example

Thickness of Web given Maximum Shear Stress and Force Solution

Thickness of Web given Maximum Shear Stress and Force 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 Maximum Shear Stress and Force?

FAQs on Thickness of Web given Maximum Shear Stress and Force

Variable Name

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

GoThickness of Web given Shear Stress of Web Formula