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Shear Stress at Junction of Top of Web Formula

GoShear Stress in Web Formula

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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. Check FAQs

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

𝜏_beam - Shear Stress in Beam?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?b - Thickness of Beam Web?

Shear Stress at Junction of Top of Web Example

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

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

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

412.2321 = \frac{4.8 \cdot 100 \cdot (9000^{2} - 450^{2})}{8 \cdot 0.0017 \cdot 7}

412.2321MPa = \frac{4.8kN \cdot 100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8 \cdot 0.0017m⁴ \cdot 7mm}

412.2321 = \frac{4.8 \cdot 100 \cdot (9000^{2} - 450^{2})}{8 \cdot 0.0017 \cdot 7}

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Shear Stress at Junction of Top of Web Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

𝜏 beam = \frac{4.8kN \cdot 100mm \cdot ({9000mm}^{2} - {450mm}^{2})}{8 \cdot 0.0017m⁴ \cdot 7mm}

Next Step Convert Units

∴

𝜏 beam = \frac{4800N \cdot 0.1m \cdot ({9m}^{2} - {0.45m}^{2})}{8 \cdot 0.0017m⁴ \cdot 0.007m}

Next Step Prepare to Evaluate

∴

𝜏 beam = \frac{4800 \cdot 0.1 \cdot (9^{2} - {0.45}^{2})}{8 \cdot 0.0017 \cdot 0.007}

Next Step Evaluate

∴

𝜏 beam = 412232142.857143Pa

Next Step Convert to Output's Unit

∴

𝜏 beam = 412.232142857143MPa

LAST Step Rounding Answer

∴

𝜏 beam = 412.2321MPa

Shear Stress at Junction of Top of Web Formula Elements

Variables

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

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

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

Other Formulas to find Shear Stress in Beam

Go Shear Stress in Web

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

How to Evaluate Shear Stress at Junction of Top of Web?

Shear Stress at Junction of Top of Web evaluator uses Shear Stress in Beam = (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*Thickness of Beam Web) to evaluate the Shear Stress in Beam, The Shear Stress at Junction of Top of Web formula is defined as a measure of the stress experienced by a beam at the junction of the top of the web, which is a critical point in the beam's structure, and is influenced by factors such as the force applied, beam dimensions, and moment of inertia. Shear Stress in Beam is denoted by 𝜏_beam symbol.

How to evaluate Shear Stress at Junction of Top of Web using this online evaluator? To use this online evaluator for Shear Stress at Junction of Top 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) & Thickness of Beam Web (b) and hit the calculate button.

FAQs on Shear Stress at Junction of Top of Web

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

The formula of Shear Stress at Junction of Top of Web is expressed as Shear Stress in Beam = (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*Thickness of Beam Web). Here is an example- 0.000412 = (4800*0.1*(9^2-0.45^2))/(8*0.00168*0.007).

How to calculate Shear Stress at Junction of Top 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) & Thickness of Beam Web (b) we can find Shear Stress at Junction of Top of Web using the formula - Shear Stress in Beam = (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*Thickness of Beam Web).

What are the other ways to Calculate Shear Stress in Beam?

Here are the different ways to Calculate Shear Stress in Beam-

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

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

No, the Shear Stress at Junction of Top of Web, measured in Pressure cannot be negative.

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

Shear Stress at Junction of Top of Web is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Shear Stress at Junction of Top of Web can be measured.

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Shear Stress at Junction of Top of Web Formula

​GoShear Stress in Web Formula

Shear Stress at Junction of Top of Web Example

Shear Stress at Junction of Top of Web Solution

Shear Stress at Junction of Top of Web Formula Elements

Other Formulas to find Shear Stress in Beam

Other formulas in Shear Stress Distribution in Web category

How to Evaluate Shear Stress at Junction of Top of Web?

FAQs on Shear Stress at Junction of Top of Web

Variable Name

GoShear Stress in Web Formula