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Flat Width Ratio for Deflection Determination Formula

GoFlat Width Ratio of Stiffened Element using Moment of Inertia Formula

GoFlat Width Ratio of Stiffened Element using Elastic Local Buckling Stress 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 = \frac{5160}{\sqrt{f uc}}

w_t - Flat Width Ratio?f_uc - Computed Unit Stress of Cold formed Element?

Flat Width Ratio for Deflection Determination Example

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Here is how the Flat Width Ratio for Deflection Determination equation looks like with Values.

Here is how the Flat Width Ratio for Deflection Determination equation looks like with Units.

Here is how the Flat Width Ratio for Deflection Determination equation looks like.

13.3231 = \frac{5160}{\sqrt{0.15}}

13.3231 = \frac{5160}{\sqrt{0.15MPa}}

13.3231 = \frac{5160}{\sqrt{0.15}}

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Flat Width Ratio for Deflection Determination Solution

Follow our step by step solution on how to calculate Flat Width Ratio for Deflection Determination?

FIRST Step Consider the formula

w t = \frac{5160}{\sqrt{f uc}}

Next Step Substitute values of Variables

∴

w t = \frac{5160}{\sqrt{0.15MPa}}

Next Step Convert Units

∴

w t = \frac{5160}{\sqrt{150000Pa}}

Next Step Prepare to Evaluate

∴

w t = \frac{5160}{\sqrt{150000}}

Next Step Evaluate

∴

w t = 13.3230627109535

LAST Step Rounding Answer

∴

w t = 13.3231

Flat Width Ratio for Deflection Determination 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

Computed Unit Stress of Cold formed Element

Computed Unit Stress of Cold formed Element is the stress upon that element at a certain place, expressed in units of force per unit of cross-sectional area.

Symbol: f_uc

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Computed Unit Stress of Cold formed 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 Moment of Inertia

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

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})

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 for Deflection Determination?

Flat Width Ratio for Deflection Determination evaluator uses Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element) to evaluate the Flat Width Ratio, The Flat Width Ratio for Deflection Determination is defined in computing moment of inertia to be used in deflection calculations or other calculations involving stiffness. Flat Width Ratio is denoted by w_t symbol.

How to evaluate Flat Width Ratio for Deflection Determination using this online evaluator? To use this online evaluator for Flat Width Ratio for Deflection Determination, enter Computed Unit Stress of Cold formed Element (f_uc) and hit the calculate button.

FAQs on Flat Width Ratio for Deflection Determination

What is the formula to find Flat Width Ratio for Deflection Determination?

The formula of Flat Width Ratio for Deflection Determination is expressed as Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element). Here is an example- 13.32306 = 5160/sqrt(150000).

How to calculate Flat Width Ratio for Deflection Determination?

With Computed Unit Stress of Cold formed Element (f_uc) we can find Flat Width Ratio for Deflection Determination using the formula - Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element). 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((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)
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)

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