Reduction Factor for Cold Form Strength Determination Calculator

✖Reduction Factor is a factor used to find determine the strength of cold formed structures.ⓘ Reduction Factor for Cold Form Strength Determination [ρ]

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Formula

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Reduction Factor for Cold Form Strength Determination

Formula

`"ρ" = (1-(0.22/"λ"))/"λ"`

Example

`"0.997403"=(1-(0.22/"0.326"))/"0.326"`

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Download Cold Formed or Light Weighted Steel Structures Formulas PDF

Reduction Factor for Cold Form Strength Determination Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor
ρ = (1-(0.22/λ))/λ
This formula uses 2 Variables

Variables Used

Reduction Factor - Reduction Factor is a factor used to find determine the strength of cold formed structures.
Plate Slenderness Factor - Plate Slenderness Factor is a function of the width/thickness (b/t) ratio of a slender plate cross sectional element.

STEP 1: Convert Input(s) to Base Unit

Plate Slenderness Factor: 0.326 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (1-(0.22/λ))/λ --> (1-(0.22/0.326))/0.326

Evaluating ... ...

ρ = 0.99740298844518

STEP 3: Convert Result to Output's Unit

0.99740298844518 --> No Conversion Required

FINAL ANSWER

0.99740298844518 ≈ 0.997403 <-- Reduction Factor

(Calculation completed in 00.005 seconds)

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Home » Engineering » Civil » Design of Steel Structures » Cold Formed or Light Weighted Steel Structures » Reduction Factor for Cold Form Strength Determination

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 500+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 15 Cold Formed or Light Weighted Steel Structures Calculators

Plate Slenderness Factor

Go Plate Slenderness Factor = (1.052/sqrt(Local Buckling Coefficient))*Flat Width Ratio*sqrt(Maximum Compressive Edge Stress/Modulus of Elasticity for Steel Elements)

Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress

Go 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 given Plate Slenderness Factor

Go Flat Width Ratio = Plate Slenderness Factor*sqrt((Local Buckling Coefficient*Modulus of Elasticity for Steel Elements)/Maximum Compressive Edge Stress)*(1/1.052)

Elastic Local Buckling Stress

Go Elastic Local Buckling Stress = (Local Buckling Coefficient*pi^2*Modulus of Elasticity for Steel Elements)/(12*Flat Width Ratio^2*(1-Poission Ratio for Plates^2))

Compressive Stress when Flat Width Ratio is between 10 and 25

Go Maximum Compressive Stress of Concrete = ((5*Design Stress)/3)-8640-((1/15)*(Design Stress-12950)*Flat Width Ratio)

Flat Width Ratio of Stiffened Element using Moment of Inertia

Go Flat Width Ratio = sqrt((Minimum Area Moment of Inertia/(1.83*Thickness of Steel Compression Element^4))^2+144)

Minimum Allowable Moment of Inertia

Go Minimum Area Moment of Inertia = 1.83*(Thickness of Steel Compression Element^4)*sqrt((Flat Width Ratio^2)-144)

Flat Width Ratio given Depth of Stiffener Lip

Go Flat Width Ratio = sqrt((Depth of Stiffener Lip/(2.8*Thickness of Steel Compression Element))^6+144)

Depth of Stiffener Lip

Go Depth of Stiffener Lip = 2.8*Thickness of Steel Compression Element*((Flat Width Ratio)^2-144)^(1/6)

Reduction Factor for Cold Form Strength Determination

Go Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor

Nominal Strength using Allowable Design Strength

Go Nominal Strength = Safety Factor for Design Strength*Allowable Design Strength

Allowable Design Strength

Go Allowable Design Strength = Nominal Strength/Safety Factor for Design Strength

Flat Width Ratio for Deflection Determination

Go Flat Width Ratio = 5160/sqrt(Computed Unit Stress of Cold formed Element)

Flat Width Ratio for Safe Load Determination

Go Flat Width Ratio = 4020/sqrt(Computed Unit Stress of Cold formed Element)

Compressive Stress when Basic Design Stress restricted to 20000 psi

Go Maximum Compressive Stress of Concrete = 24700-470*Flat Width Ratio

Reduction Factor for Cold Form Strength Determination Formula

Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor
ρ = (1-(0.22/λ))/λ

What are Multiple-Stiffened Elements?

An Element that is stiffened between webs, or between a web and a stiffened edge, by means of intermediate stiffeners that are parallel to the direction of stress. A sub-element is the portion between adjacent stiffeners or between web and intermediate stiffener or between edge and intermediate stiffener.

How to Calculate Reduction Factor for Cold Form Strength Determination?

Reduction Factor for Cold Form Strength Determination calculator uses Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor to calculate 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 calculate Reduction Factor for Cold Form Strength Determination using this online calculator? To use this online calculator for Reduction Factor for Cold Form Strength Determination, enter Plate Slenderness Factor (λ) and hit the calculate button. Here is how the Reduction Factor for Cold Form Strength Determination calculation can be explained with given input values -> 0.483951 = (1-(0.22/0.326))/0.326.

FAQ

What is Reduction Factor for Cold Form Strength Determination?

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 and is represented as ρ = (1-(0.22/λ))/λ or Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor. Plate Slenderness Factor is a function of the width/thickness (b/t) ratio of a slender plate cross sectional element.

How to calculate Reduction Factor for Cold Form Strength Determination?

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 is calculated using Reduction Factor = (1-(0.22/Plate Slenderness Factor))/Plate Slenderness Factor. To calculate Reduction Factor for Cold Form Strength Determination, you need Plate Slenderness Factor (λ). With our tool, you need to enter the respective value for Plate Slenderness Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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