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Flat Width Ratio of Stiffened Element using Moment of Inertia Formula

GoFlat Width Ratio of Stiffened Element using Elastic Local Buckling Stress Formula

GoFlat Width Ratio given Depth of Stiffener Lip Formula

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Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element. Check FAQs

w t = \sqrt{{(\frac{I min}{1.83 \cdot t^{4}})}^{2} + 144}

w_t - Flat Width Ratio?I_min - Minimum Area Moment of Inertia?t - Thickness of Steel Compression Element?

Flat Width Ratio of Stiffened Element using Moment of Inertia Example

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Here is how the Flat Width Ratio of Stiffened Element using Moment of Inertia equation looks like with Values.

Here is how the Flat Width Ratio of Stiffened Element using Moment of Inertia equation looks like with Units.

Here is how the Flat Width Ratio of Stiffened Element using Moment of Inertia equation looks like.

12.997 = \sqrt{{(\frac{7.4E+6}{1.83 \cdot 30^{4}})}^{2} + 144}

12.997 = \sqrt{{(\frac{7.4E+6mm⁴}{1.83 \cdot {30mm}^{4}})}^{2} + 144}

12.997 = \sqrt{{(\frac{7.4E+6}{1.83 \cdot 30^{4}})}^{2} + 144}

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Flat Width Ratio of Stiffened Element using Moment of Inertia Solution

Follow our step by step solution on how to calculate Flat Width Ratio of Stiffened Element using Moment of Inertia?

FIRST Step Consider the formula

w t = \sqrt{{(\frac{I min}{1.83 \cdot t^{4}})}^{2} + 144}

Next Step Substitute values of Variables

∴

w t = \sqrt{{(\frac{7.4E+6mm⁴}{1.83 \cdot {30mm}^{4}})}^{2} + 144}

Next Step Convert Units

∴

w t = \sqrt{{(\frac{7.4E-6m⁴}{1.83 \cdot {0.03m}^{4}})}^{2} + 144}

Next Step Prepare to Evaluate

∴

w t = \sqrt{{(\frac{7.4E-6}{1.83 \cdot {0.03}^{4}})}^{2} + 144}

Next Step Evaluate

∴

w t = 12.9970180446904

LAST Step Rounding Answer

∴

w t = 12.997

Flat Width Ratio of Stiffened Element using Moment of Inertia Formula Elements

Variables

Functions

Flat Width Ratio

Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.

Symbol: w_t

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Flat Width Ratio

Minimum Area Moment of Inertia

The Minimum Area Moment of Inertia is the limiting moment of inertia ( quantitative measure of the rotational inertia) for satisfying any structural situation.

Symbol: I_min

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Minimum Area Moment of Inertia

Thickness of Steel Compression Element

The Thickness of Steel Compression Element is the thickness of element or plate.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Steel Compression Element

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 Flat Width Ratio

Go Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress

w t = \sqrt{\frac{k \cdot π^{2} \cdot E s}{12 \cdot f cr \cdot (1 - μ^{2})}}

Go Flat Width Ratio given Depth of Stiffener Lip

w t = \sqrt{{(\frac{d}{2.8 \cdot t})}^{6} + 144}

Go Flat Width Ratio given Plate Slenderness Factor

w t = λ \cdot \sqrt{\frac{k \cdot E s}{f emax}} \cdot (\frac{1}{1.052})

Go Flat Width Ratio for Safe Load Determination

w t = \frac{4020}{\sqrt{f uc}}

Other formulas in Cold Formed or Light Weighted Steel Structures category

Go Allowable Design Strength

R a = \frac{R n}{f s}

Go Nominal Strength using Allowable Design Strength

R n = f s \cdot R a

Go Minimum Allowable Moment of Inertia

I min = 1.83 \cdot (t^{4}) \cdot \sqrt{({w t}^{2}) - 144}

Go Elastic Local Buckling Stress

f cr = \frac{k \cdot π^{2} \cdot E s}{12 \cdot {w t}^{2} \cdot (1 - μ^{2})}

How to Evaluate Flat Width Ratio of Stiffened Element using Moment of Inertia?

Flat Width Ratio of Stiffened Element using Moment of Inertia evaluator uses Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144) to evaluate the Flat Width Ratio, The Flat Width Ratio of Stiffened Element using Moment of Inertia is defined as the width to thickness ratio of the compression member which is qualified as the stiffened compression member. Flat Width Ratio is denoted by w_t symbol.

How to evaluate Flat Width Ratio of Stiffened Element using Moment of Inertia using this online evaluator? To use this online evaluator for Flat Width Ratio of Stiffened Element using Moment of Inertia, enter Minimum Area Moment of Inertia (I_min) & Thickness of Steel Compression Element (t) and hit the calculate button.

FAQs on Flat Width Ratio of Stiffened Element using Moment of Inertia

What is the formula to find Flat Width Ratio of Stiffened Element using Moment of Inertia?

The formula of Flat Width Ratio of Stiffened Element using Moment of Inertia is expressed as Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144). Here is an example- 12 = sqrt((7.4E-06/(1.83*0.03^4))^2+144).

How to calculate Flat Width Ratio of Stiffened Element using Moment of Inertia?

With Minimum Area Moment of Inertia (I_min) & Thickness of Steel Compression Element (t) we can find Flat Width Ratio of Stiffened Element using Moment of Inertia using the formula - Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Flat Width Ratio?

Here are the different ways to Calculate Flat Width Ratio-

Flat Width Ratio=sqrt((Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Elastic Local Buckling Stress*(1-Poission Ratio for Plates^2)))
Flat Width Ratio=sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)
Flat Width Ratio=Plate Slenderness Factor*sqrt((Local Buckling Coefficient*Modulus of Elasticity for Steel Elements)/Maximum Compressive Edge Stress)*(1/1.052)

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Flat Width Ratio of Stiffened Element using Moment of Inertia Formula

​GoFlat Width Ratio of Stiffened Element using Elastic Local Buckling Stress Formula

​GoFlat Width Ratio given Depth of Stiffener Lip Formula

Flat Width Ratio of Stiffened Element using Moment of Inertia Example

Flat Width Ratio of Stiffened Element using Moment of Inertia Solution

Flat Width Ratio of Stiffened Element using Moment of Inertia Formula Elements

Other Formulas to find Flat Width Ratio

Other formulas in Cold Formed or Light Weighted Steel Structures category

How to Evaluate Flat Width Ratio of Stiffened Element using Moment of Inertia?

FAQs on Flat Width Ratio of Stiffened Element using Moment of Inertia

Variable Name

GoFlat Width Ratio of Stiffened Element using Elastic Local Buckling Stress Formula

GoFlat Width Ratio given Depth of Stiffener Lip Formula