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Shear Stress in Web Formula

GoShear Stress at Junction of Top of 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}{I \cdot b} \cdot (\frac{B}{8} \cdot (D^{2} - d^{2}) + \frac{b}{2} \cdot (\frac{d^{2}}{4} - y^{2}))

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

Shear Stress in Web Example

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Here is how the Shear Stress in Web equation looks like with Values.

Here is how the Shear Stress in Web equation looks like with Units.

Here is how the Shear Stress in Web equation looks like.

412.3044 = \frac{4.8}{0.0017 \cdot 7} \cdot (\frac{100}{8} \cdot (9000^{2} - 450^{2}) + \frac{7}{2} \cdot (\frac{450^{2}}{4} - 5^{2}))

412.3044MPa = \frac{4.8kN}{0.0017m⁴ \cdot 7mm} \cdot (\frac{100mm}{8} \cdot ({9000mm}^{2} - {450mm}^{2}) + \frac{7mm}{2} \cdot (\frac{{450mm}^{2}}{4} - {5mm}^{2}))

412.3044 = \frac{4.8}{0.0017 \cdot 7} \cdot (\frac{100}{8} \cdot (9000^{2} - 450^{2}) + \frac{7}{2} \cdot (\frac{450^{2}}{4} - 5^{2}))

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Shear Stress in Web Solution

Follow our step by step solution on how to calculate Shear Stress in Web?

FIRST Step Consider the formula

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}))

Next Step Substitute values of Variables

∴

𝜏 beam = \frac{4.8kN}{0.0017m⁴ \cdot 7mm} \cdot (\frac{100mm}{8} \cdot ({9000mm}^{2} - {450mm}^{2}) + \frac{7mm}{2} \cdot (\frac{{450mm}^{2}}{4} - {5mm}^{2}))

Next Step Convert Units

∴

𝜏 beam = \frac{4800N}{0.0017m⁴ \cdot 0.007m} \cdot (\frac{0.1m}{8} \cdot ({9m}^{2} - {0.45m}^{2}) + \frac{0.007m}{2} \cdot (\frac{{0.45m}^{2}}{4} - {0.005m}^{2}))

Next Step Prepare to Evaluate

∴

𝜏 beam = \frac{4800}{0.0017 \cdot 0.007} \cdot (\frac{0.1}{8} \cdot (9^{2} - {0.45}^{2}) + \frac{0.007}{2} \cdot (\frac{{0.45}^{2}}{4} - {0.005}^{2}))

Next Step Evaluate

∴

𝜏 beam = 412304428.571429Pa

Next Step Convert to Output's Unit

∴

𝜏 beam = 412.304428571429MPa

LAST Step Rounding Answer

∴

𝜏 beam = 412.3044MPa

Shear Stress in 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

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

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

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 Shear Stress in Beam

Go Shear Stress at Junction of Top of Web

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

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 in Web?

Shear Stress in Web evaluator uses 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)) to evaluate the Shear Stress in Beam, The Shear Stress in Web formula is defined as a measure of the deformation of a material due to external forces, specifically in the context of I-section beams, where it is essential to calculate the stress caused by shear forces to ensure the structural integrity of the beam. Shear Stress in Beam is denoted by 𝜏_beam symbol.

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

FAQs on Shear Stress in Web

What is the formula to find Shear Stress in Web?

The formula of Shear Stress in Web is expressed as 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)). Here is an example- 0.000412 = 4800/(0.00168*0.007)*(0.1/8*(9^2-0.45^2)+0.007/2*(0.45^2/4-0.005^2)).

How to calculate Shear Stress in Web?

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

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*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)

Can the Shear Stress in Web be negative?

No, the Shear Stress in Web, measured in Pressure cannot be negative.

Which unit is used to measure Shear Stress in Web?

Shear Stress in 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 in Web can be measured.

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Shear Stress in Web Formula

​GoShear Stress at Junction of Top of Web Formula

Shear Stress in Web Example

Shear Stress in Web Solution

Shear Stress in 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 in Web?

FAQs on Shear Stress in Web

Variable Name

GoShear Stress at Junction of Top of Web Formula