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

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Inner Depth of I Section is a measure of distance, the distance between the inner bars of the I-section. Check FAQs

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

d - Inner Depth of I Section?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?

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

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

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

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

8012.4902 = \sqrt{9000^{2} - \frac{8 \cdot 0.0017}{4.8} \cdot 6}

8012.4902mm = \sqrt{{9000mm}^{2} - \frac{8 \cdot 0.0017m⁴}{4.8kN} \cdot 6MPa}

8012.4902 = \sqrt{9000^{2} - \frac{8 \cdot 0.0017}{4.8} \cdot 6}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = \sqrt{{9000mm}^{2} - \frac{8 \cdot 0.0017m⁴}{4.8kN} \cdot 6MPa}

Next Step Convert Units

∴

d = \sqrt{{9m}^{2} - \frac{8 \cdot 0.0017m⁴}{4800N} \cdot 6E+6Pa}

Next Step Prepare to Evaluate

∴

d = \sqrt{9^{2} - \frac{8 \cdot 0.0017}{4800} \cdot 6E+6}

Next Step Evaluate

∴

d = 8.01249024960405m

Next Step Convert to Output's Unit

∴

d = 8012.49024960405mm

LAST Step Rounding Answer

∴

d = 8012.4902mm

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

Variables

Functions

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

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

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 in Shear Stress Distribution in Flange category

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

Inner Depth of I-section given Shear Stress in Lower Edge of Flange evaluator uses Inner Depth of I Section = sqrt(Outer Depth of I section^2-(8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam) to evaluate the Inner Depth of I Section, Inner Depth of I-section given Shear Stress in Lower Edge of Flange formula is defined as the distance from the neutral axis to the lower edge of the flange in an I-section beam, which is a critical parameter in structural analysis to ensure the beam's stability and resistance to shear stress. Inner Depth of I Section is denoted by d symbol.

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

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

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

The formula of Inner Depth of I-section given Shear Stress in Lower Edge of Flange is expressed as Inner Depth of I Section = sqrt(Outer Depth of I section^2-(8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam). Here is an example- 8E+6 = sqrt(9^2-(8*0.00168)/4800*6000000).

How to calculate Inner Depth of I-section given Shear Stress in Lower Edge of Flange?

With Outer Depth of I section (D), Moment of Inertia of Area of Section (I), Shear Force on Beam (F_s) & Shear Stress in Beam (𝜏_beam) we can find Inner Depth of I-section given Shear Stress in Lower Edge of Flange using the formula - Inner Depth of I Section = sqrt(Outer Depth of I section^2-(8*Moment of Inertia of Area of Section)/Shear Force on Beam*Shear Stress in Beam). This formula also uses Square Root (sqrt) function(s).

Can the Inner Depth of I-section given Shear Stress in Lower Edge of Flange be negative?

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

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

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

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

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

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

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

Other formulas in Shear Stress Distribution in Flange category

How to Evaluate Inner Depth of I-section given Shear Stress in Lower Edge of Flange?

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

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