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

✖Local Buckling Coefficient is the factor when thin cold form structures are subjected to local buckling.ⓘ Local Buckling Coefficient [k]			+10% -10%
✖The Modulus of Elasticity for Steel Elements is the measure of the stress–strain relationship on the object.ⓘ Modulus of Elasticity for Steel Elements [E_s]			+10% -10%
✖Elastic Local Buckling Stress of structural profiles is typically considered by individually examining the stability of the isolated plates that make up the cross-section.ⓘ Elastic Local Buckling Stress [f_cr]			+10% -10%
✖The Poission Ratio for Plates is defined as the ratio of lateral strain to longitudinal strain.ⓘ Poission Ratio for Plates [μ]			+10% -10%

✖Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.ⓘ Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress [w_t]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)))
w_t = sqrt((k*pi^2*E_s)/(12*f_cr*(1-μ^2)))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Flat Width Ratio - Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.
Local Buckling Coefficient - Local Buckling Coefficient is the factor when thin cold form structures are subjected to local buckling.
Modulus of Elasticity for Steel Elements - (Measured in Pascal) - The Modulus of Elasticity for Steel Elements is the measure of the stress–strain relationship on the object.
Elastic Local Buckling Stress - (Measured in Pascal) - Elastic Local Buckling Stress of structural profiles is typically considered by individually examining the stability of the isolated plates that make up the cross-section.
Poission Ratio for Plates - The Poission Ratio for Plates is defined as the ratio of lateral strain to longitudinal strain.

STEP 1: Convert Input(s) to Base Unit

Local Buckling Coefficient: 2 --> No Conversion Required
Modulus of Elasticity for Steel Elements: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)
Elastic Local Buckling Stress: 2139.195 Megapascal --> 2139195000 Pascal (Check conversion here)
Poission Ratio for Plates: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w_t = sqrt((k*pi^2*E_s)/(12*f_cr*(1-μ^2))) --> sqrt((2*pi^2*200000000000)/(12*2139195000*(1-0.3^2)))

Evaluating ... ...

w_t = 13.0000002829223

STEP 3: Convert Result to Output's Unit

13.0000002829223 --> No Conversion Required

FINAL ANSWER

13.0000002829223 ≈ 13 <-- Flat Width Ratio

(Calculation completed in 00.004 seconds)

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< Cold Formed or Light Weighted Steel Structures Calculators

Flat Width Ratio of Stiffened Element using Moment of Inertia

LaTeX 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

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

Nominal Strength using Allowable Design Strength

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

Allowable Design Strength

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

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

LaTeX Go

What is Local Buckling?

The Local buckling is a failure mode commonly observed in thin-walled structural steel elements. Even though its effect on their behavior at ambient temperature conditions is well documented and incorporated in current design codes, this is not the case when such elements are exposed to fire.

How to Calculate Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress?

Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress calculator uses 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))) to calculate the Flat Width Ratio, The Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress is the ratio of width of the cold formed plate to the thickness of the plate element. Flat Width Ratio is denoted by w_t symbol.

How to calculate Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress using this online calculator? To use this online calculator for Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress, enter Local Buckling Coefficient (k), Modulus of Elasticity for Steel Elements (E_s), Elastic Local Buckling Stress (f_cr) & Poission Ratio for Plates (μ) and hit the calculate button. Here is how the Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress calculation can be explained with given input values -> 42.51611 = sqrt((2*pi^2*200000000000)/(12*2139195000*(1-0.3^2))).

FAQ

What is Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress?

The Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress is the ratio of width of the cold formed plate to the thickness of the plate element and is represented as w_t = sqrt((k*pi^2*E_s)/(12*f_cr*(1-μ^2))) or 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))). Local Buckling Coefficient is the factor when thin cold form structures are subjected to local buckling, The Modulus of Elasticity for Steel Elements is the measure of the stress–strain relationship on the object, Elastic Local Buckling Stress of structural profiles is typically considered by individually examining the stability of the isolated plates that make up the cross-section & The Poission Ratio for Plates is defined as the ratio of lateral strain to longitudinal strain.

How to calculate Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress?

The Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress is the ratio of width of the cold formed plate to the thickness of the plate element is calculated using 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))). To calculate Flat Width Ratio of Stiffened Element using Elastic Local Buckling Stress, you need Local Buckling Coefficient (k), Modulus of Elasticity for Steel Elements (E_s), Elastic Local Buckling Stress (f_cr) & Poission Ratio for Plates (μ). With our tool, you need to enter the respective value for Local Buckling Coefficient, Modulus of Elasticity for Steel Elements, Elastic Local Buckling Stress & Poission Ratio for Plates and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Flat Width Ratio?

In this formula, Flat Width Ratio uses Local Buckling Coefficient, Modulus of Elasticity for Steel Elements, Elastic Local Buckling Stress & Poission Ratio for Plates. We can use 3 other way(s) to calculate the same, which is/are as follows -

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