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

GoShear Force in Flange of 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{8 \cdot I \cdot 𝜏 beam}{D^{2} - d^{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?d - Inner Depth of I Section?

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

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

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

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

0.9981 = \frac{8 \cdot 0.0017 \cdot 6}{9000^{2} - 450^{2}}

0.9981kN = \frac{8 \cdot 0.0017m⁴ \cdot 6MPa}{{9000mm}^{2} - {450mm}^{2}}

0.9981 = \frac{8 \cdot 0.0017 \cdot 6}{9000^{2} - 450^{2}}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

F s = \frac{8 \cdot 0.0017m⁴ \cdot 6MPa}{{9000mm}^{2} - {450mm}^{2}}

Next Step Convert Units

∴

F s = \frac{8 \cdot 0.0017m⁴ \cdot 6E+6Pa}{{9m}^{2} - {0.45m}^{2}}

Next Step Prepare to Evaluate

∴

F s = \frac{8 \cdot 0.0017 \cdot 6E+6}{9^{2} - {0.45}^{2}}

Next Step Evaluate

∴

F s = 998.050682261209N

Next Step Convert to Output's Unit

∴

F s = 0.998050682261209kN

LAST Step Rounding Answer

∴

F s = 0.9981kN

Shear Force in Lower Edge of Flange in 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

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

Other Formulas to find Shear Force on Beam

Go Shear Force in Flange of I-section

F s = \frac{2 \cdot I \cdot 𝜏 beam}{\frac{D^{2}}{2} - y^{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 Lower Edge of Flange in I-section?

Shear Force in Lower Edge of Flange in I-section evaluator uses 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) to evaluate the Shear Force on Beam, Shear Force in Lower Edge of Flange in I-section formula is defined as a measure of the transverse internal force that occurs at the lower edge of the flange in an I-section beam, which is essential in determining the structural integrity of the beam under various loading conditions. Shear Force on Beam is denoted by F_s symbol.

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

FAQs on Shear Force in Lower Edge of Flange in I-section

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

The formula of Shear Force in Lower Edge of Flange in I-section is expressed as 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). Here is an example- 0.000998 = (8*0.00168*6000000)/(9^2-0.45^2).

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

With Moment of Inertia of Area of Section (I), Shear Stress in Beam (𝜏_beam), Outer Depth of I section (D) & Inner Depth of I Section (d) we can find Shear Force in Lower Edge of Flange in I-section using the formula - 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).

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=(2*Moment of Inertia of Area of Section*Shear Stress in Beam)/((Outer Depth of I section^2)/2-Distance from Neutral Axis^2)

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

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

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

Shear Force in Lower Edge of Flange in 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 Lower Edge of Flange in I-section can be measured.

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

​GoShear Force in Flange of I-section Formula

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

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

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

FAQs on Shear Force in Lower Edge of Flange in I-section

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GoShear Force in Flange of I-section Formula