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Shear Force in Flange of I-section Formula

GoShear Force in Lower Edge of Flange in I-section Formula

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

F s = \frac{2 \cdot I \cdot 𝜏 beam}{\frac{D^{2}}{2} - y^{2}}

F_s - Shear Force on Beam?I - Moment of Inertia of Area of Section?𝜏_beam - Shear Stress in Beam?D - Outer Depth of I section?y - Distance from Neutral Axis?

Shear Force in Flange of I-section Example

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Here is how the Shear Force in Flange of I-section equation looks like with Values.

Here is how the Shear Force in Flange of I-section equation looks like with Units.

Here is how the Shear Force in Flange of I-section equation looks like.

0.4978 = \frac{2 \cdot 0.0017 \cdot 6}{\frac{9000^{2}}{2} - 5^{2}}

0.4978kN = \frac{2 \cdot 0.0017m⁴ \cdot 6MPa}{\frac{{9000mm}^{2}}{2} - {5mm}^{2}}

0.4978 = \frac{2 \cdot 0.0017 \cdot 6}{\frac{9000^{2}}{2} - 5^{2}}

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Shear Force in Flange of I-section Solution

Follow our step by step solution on how to calculate Shear Force in Flange of I-section?

FIRST Step Consider the formula

F s = \frac{2 \cdot I \cdot 𝜏 beam}{\frac{D^{2}}{2} - y^{2}}

Next Step Substitute values of Variables

∴

F s = \frac{2 \cdot 0.0017m⁴ \cdot 6MPa}{\frac{{9000mm}^{2}}{2} - {5mm}^{2}}

Next Step Convert Units

∴

F s = \frac{2 \cdot 0.0017m⁴ \cdot 6E+6Pa}{\frac{{9m}^{2}}{2} - {0.005m}^{2}}

Next Step Prepare to Evaluate

∴

F s = \frac{2 \cdot 0.0017 \cdot 6E+6}{\frac{9^{2}}{2} - {0.005}^{2}}

Next Step Evaluate

∴

F s = 497.778085048201N

Next Step Convert to Output's Unit

∴

F s = 0.497778085048201kN

LAST Step Rounding Answer

∴

F s = 0.4978kN

Shear Force in Flange of I-section Formula Elements

Variables

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

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

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

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 Force on Beam

Go Shear Force in Lower Edge of Flange in I-section

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

Other formulas in Shear Stress Distribution in Flange category

Go Inner Depth of I-section given Shear Stress in Lower Edge of Flange

d = \sqrt{D^{2} - \frac{8 \cdot I}{F s} \cdot 𝜏 beam}

Go Outer Depth of I section given Shear Stress in Lower Edge of Flange

D = \sqrt{\frac{8 \cdot I}{F s} \cdot 𝜏 beam + d^{2}}

Go Moment of Inertia of I section given Shear Stress in Lower Edge of Flange

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

Go Shear Stress in Lower Edge of Flange of I-section

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

How to Evaluate Shear Force in Flange of I-section?

Shear Force in Flange of I-section evaluator uses Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/((Outer Depth of I section^2)/2-Distance from Neutral Axis^2) to evaluate the Shear Force on Beam, Shear Force in Flange of I-section formula is defined as the vertical force that occurs at the flange of an I-section beam, which is a critical parameter in structural analysis to determine the beam's ability to resist deformation and failure. Shear Force on Beam is denoted by F_s symbol.

How to evaluate Shear Force in Flange of I-section using this online evaluator? To use this online evaluator for Shear Force in Flange of I-section, enter Moment of Inertia of Area of Section (I), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Distance from Neutral Axis (y) and hit the calculate button.

FAQs on Shear Force in Flange of I-section

What is the formula to find Shear Force in Flange of I-section?

The formula of Shear Force in Flange of I-section is expressed as Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/((Outer Depth of I section^2)/2-Distance from Neutral Axis^2). Here is an example- 0.000498 = (2*0.00168*6000000)/((9^2)/2-0.005^2).

How to calculate Shear Force in Flange of I-section?

With Moment of Inertia of Area of Section (I), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Distance from Neutral Axis (y) we can find Shear Force in Flange of I-section using the formula - Shear Force on Beam = (2*Moment of Inertia of Area of Section*Shear Stress in Beam)/((Outer Depth of I section^2)/2-Distance from Neutral Axis^2).

What are the other ways to Calculate Shear Force on Beam?

Here are the different ways to Calculate Shear Force on Beam-

Shear Force on Beam=(8*Moment of Inertia of Area of Section*Shear Stress in Beam)/(Outer Depth of I section^2-Inner Depth of I Section^2)

Can the Shear Force in Flange of I-section be negative?

Yes, the Shear Force in Flange of I-section, measured in Force can be negative.

Which unit is used to measure Shear Force in Flange of I-section?

Shear Force in Flange of I-section is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Shear Force in Flange of I-section can be measured.

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Shear Force in Flange of I-section Formula

​GoShear Force in Lower Edge of Flange in I-section Formula

Shear Force in Flange of I-section Example

Shear Force in Flange of I-section Solution

Shear Force in Flange of I-section Formula Elements

Other Formulas to find Shear Force on Beam

Other formulas in Shear Stress Distribution in Flange category

How to Evaluate Shear Force in Flange of I-section?

FAQs on Shear Force in Flange of I-section

Variable Name

GoShear Force in Lower Edge of Flange in I-section Formula