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Outer Depth of I-section given Shear Stress in Flange Formula

GoOuter Depth of I section given Shear Stress in Lower Edge of Flange Formula

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The Outer Depth of I section is a measure of distance, the distance between the outer bars of the I-section. Check FAQs

D = 4 \cdot \sqrt{\frac{2 \cdot I}{F s} \cdot 𝜏 beam + y^{2}}

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

Outer Depth of I-section given Shear Stress in Flange Example

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Here is how the Outer Depth of I-section given Shear Stress in Flange equation looks like with Values.

Here is how the Outer Depth of I-section given Shear Stress in Flange equation looks like with Units.

Here is how the Outer Depth of I-section given Shear Stress in Flange equation looks like.

8197.585 = 4 \cdot \sqrt{\frac{2 \cdot 0.0017}{4.8} \cdot 6 + 5^{2}}

8197.585mm = 4 \cdot \sqrt{\frac{2 \cdot 0.0017m⁴}{4.8kN} \cdot 6MPa + {5mm}^{2}}

8197.585 = 4 \cdot \sqrt{\frac{2 \cdot 0.0017}{4.8} \cdot 6 + 5^{2}}

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Outer Depth of I-section given Shear Stress in Flange Solution

Follow our step by step solution on how to calculate Outer Depth of I-section given Shear Stress in Flange?

FIRST Step Consider the formula

D = 4 \cdot \sqrt{\frac{2 \cdot I}{F s} \cdot 𝜏 beam + y^{2}}

Next Step Substitute values of Variables

∴

D = 4 \cdot \sqrt{\frac{2 \cdot 0.0017m⁴}{4.8kN} \cdot 6MPa + {5mm}^{2}}

Next Step Convert Units

∴

D = 4 \cdot \sqrt{\frac{2 \cdot 0.0017m⁴}{4800N} \cdot 6E+6Pa + {0.005m}^{2}}

Next Step Prepare to Evaluate

∴

D = 4 \cdot \sqrt{\frac{2 \cdot 0.0017}{4800} \cdot 6E+6 + {0.005}^{2}}

Next Step Evaluate

∴

D = 8.1975850102332m

Next Step Convert to Output's Unit

∴

D = 8197.5850102332mm

LAST Step Rounding Answer

∴

D = 8197.585mm

Outer Depth of I-section given Shear Stress in Flange Formula Elements

Variables

Functions

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

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 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

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

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Outer Depth of I section

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}}

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 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 Force in Lower Edge of Flange in I-section

F s = \frac{8 \cdot I \cdot 𝜏 beam}{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 Outer Depth of I-section given Shear Stress in Flange?

Outer Depth of I-section given Shear Stress in Flange evaluator uses Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2) to evaluate the Outer Depth of I section, The Outer Depth of I-section given Shear Stress in Flange formula is defined as the maximum distance from the outermost point of the I-section to its central axis, which is a critical parameter in structural analysis to ensure the stability and safety of beams and columns under various loads. Outer Depth of I section is denoted by D symbol.

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

FAQs on Outer Depth of I-section given Shear Stress in Flange

What is the formula to find Outer Depth of I-section given Shear Stress in Flange?

The formula of Outer Depth of I-section given Shear Stress in Flange is expressed as Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2). Here is an example- 8.2E+6 = 4*sqrt((2*0.00168)/4800*6000000+0.005^2).

How to calculate Outer Depth of I-section given Shear Stress in Flange?

With Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s), Shear Stress in Beam (𝜏_beam) & Distance from Neutral Axis (y) we can find Outer Depth of I-section given Shear Stress in Flange using the formula - Outer Depth of I section = 4*sqrt((2*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam+Distance from Neutral Axis^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Outer Depth of I section?

Here are the different ways to Calculate Outer Depth of I section-

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

Can the Outer Depth of I-section given Shear Stress in Flange be negative?

No, the Outer Depth of I-section given Shear Stress in Flange, measured in Length cannot be negative.

Which unit is used to measure Outer Depth of I-section given Shear Stress in Flange?

Outer Depth of I-section given Shear Stress in Flange is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Outer Depth of I-section given Shear Stress in Flange can be measured.

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Outer Depth of I-section given Shear Stress in Flange Formula

​GoOuter Depth of I section given Shear Stress in Lower Edge of Flange Formula

Outer Depth of I-section given Shear Stress in Flange Example

Outer Depth of I-section given Shear Stress in Flange Solution

Outer Depth of I-section given Shear Stress in Flange Formula Elements

Other Formulas to find Outer Depth of I section

Other formulas in Shear Stress Distribution in Flange category

How to Evaluate Outer Depth of I-section given Shear Stress in Flange?

FAQs on Outer Depth of I-section given Shear Stress in Flange

Variable Name

GoOuter Depth of I section given Shear Stress in Lower Edge of Flange Formula