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Reduction Factor for Cold Form Strength Determination Formula

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Reduction Factor is a factor used to find determine the strength of cold formed structures. Check FAQs

ρ = \frac{1 - (\frac{0.22}{λ})}{λ}

ρ - Reduction Factor?λ - Plate Slenderness Factor?

Reduction Factor for Cold Form Strength Determination Example

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Here is how the Reduction Factor for Cold Form Strength Determination equation looks like with Values.

Here is how the Reduction Factor for Cold Form Strength Determination equation looks like with Units.

Here is how the Reduction Factor for Cold Form Strength Determination equation looks like.

0.9974 = \frac{1 - (\frac{0.22}{0.326})}{0.326}

0.9974 = \frac{1 - (\frac{0.22}{0.326})}{0.326}

0.9974 = \frac{1 - (\frac{0.22}{0.326})}{0.326}

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Reduction Factor for Cold Form Strength Determination Solution

Follow our step by step solution on how to calculate Reduction Factor for Cold Form Strength Determination?

FIRST Step Consider the formula

ρ = \frac{1 - (\frac{0.22}{λ})}{λ}

Next Step Substitute values of Variables

∴

ρ = \frac{1 - (\frac{0.22}{0.326})}{0.326}

Next Step Prepare to Evaluate

∴

ρ = \frac{1 - (\frac{0.22}{0.326})}{0.326}

Next Step Evaluate

∴

ρ = 0.99740298844518

LAST Step Rounding Answer

∴

ρ = 0.9974

Reduction Factor for Cold Form Strength Determination Formula Elements

Variables

Reduction Factor

Reduction Factor is a factor used to find determine the strength of cold formed structures.

Symbol: ρ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduction Factor

Plate Slenderness Factor

Plate Slenderness Factor is a function of the width/thickness (b/t) ratio of a slender plate cross sectional element.

Symbol: λ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Plate Slenderness Factor

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 Flat Width Ratio of Stiffened Element using Moment of Inertia

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

How to Evaluate Reduction Factor for Cold Form Strength Determination?

Reduction Factor for Cold Form Strength Determination evaluator uses Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor to evaluate the Reduction Factor, The Reduction Factor for Cold Form Strength Determination is defined as the reduction value which is used to give a safer strength value for the cold formed structures. Reduction Factor is denoted by ρ symbol.

How to evaluate Reduction Factor for Cold Form Strength Determination using this online evaluator? To use this online evaluator for Reduction Factor for Cold Form Strength Determination, enter Plate Slenderness Factor (λ) and hit the calculate button.

FAQs on Reduction Factor for Cold Form Strength Determination

What is the formula to find Reduction Factor for Cold Form Strength Determination?

The formula of Reduction Factor for Cold Form Strength Determination is expressed as Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor. Here is an example- 0.483951 = (1-(0.22/0.326))/0.326.

How to calculate Reduction Factor for Cold Form Strength Determination?

With Plate Slenderness Factor (λ) we can find Reduction Factor for Cold Form Strength Determination using the formula - Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor.

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