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%
✖Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.ⓘ Flat Width Ratio [w_t]			+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%

✖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]

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Elastic Local Buckling Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Flat Width Ratio - Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element.
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)
Flat Width Ratio: 13 --> No Conversion Required
Poission Ratio for Plates: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_cr = (k*pi^2*E_s)/(12*w_t^2*(1-μ^2)) --> (2*pi^2*200000000000)/(12*13^2*(1-0.3^2))

Evaluating ... ...

f_cr = 2139195093.11168

STEP 3: Convert Result to Output's Unit

2139195093.11168 Pascal -->2139.19509311168 Megapascal (Check conversion here)

FINAL ANSWER

2139.19509311168 ≈ 2139.195 Megapascal <-- Elastic Local Buckling Stress

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Coorg Institute of Technology (CIT), Coorg

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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

Elastic Local Buckling Stress Formula

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What is Poisson's Ratio?

The Poisson's Ratio is defined as the ratio of the change in the width per unit width of a material, to the change in its length per unit length, as a result of strain.

How to Calculate Elastic Local Buckling Stress?

Elastic Local Buckling Stress calculator uses 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)) to calculate the Elastic Local Buckling Stress, The 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 is denoted by f_cr symbol.

How to calculate Elastic Local Buckling Stress using this online calculator? To use this online calculator for Elastic Local Buckling Stress, enter Local Buckling Coefficient (k), Modulus of Elasticity for Steel Elements (E_s), Flat Width Ratio (w_t) & Poission Ratio for Plates (μ) and hit the calculate button. Here is how the Elastic Local Buckling Stress calculation can be explained with given input values -> 0.002139 = (2*pi^2*200000000000)/(12*13^2*(1-0.3^2)).

FAQ

What is Elastic Local Buckling Stress?

The 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 and is represented as f_cr = (k*pi^2*E_s)/(12*w_t^2*(1-μ^2)) or 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)). 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, Flat Width Ratio is the ratio of width w of a single flat element to the thickness t of the element & The Poission Ratio for Plates is defined as the ratio of lateral strain to longitudinal strain.

How to calculate Elastic Local Buckling Stress?

The 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 is calculated using 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)). To calculate Elastic Local Buckling Stress, you need Local Buckling Coefficient (k), Modulus of Elasticity for Steel Elements (E_s), Flat Width Ratio (w_t) & 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, Flat Width Ratio & 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.

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