Buckling Stiffness Factor Formula

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Buckling stiffness factor in column stability calculations. Check FAQs
CT=1+(KMLeKTE)
CT - Buckling Stiffness Factor?KM - Stiffness Factor for Wood?Le - Effective Length?KT - Stiffness Factor for Lumber?E - Modulus of Elasticity?

Buckling Stiffness Factor Example

With values
With units
Only example

Here is how the Buckling Stiffness Factor equation looks like with Values.

Here is how the Buckling Stiffness Factor equation looks like with Units.

Here is how the Buckling Stiffness Factor equation looks like.

97.8136Edit=1+(1200Edit2380Edit0.59Edit50Edit)
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Buckling Stiffness Factor Solution

Follow our step by step solution on how to calculate Buckling Stiffness Factor?

FIRST Step Consider the formula
CT=1+(KMLeKTE)
Next Step Substitute values of Variables
CT=1+(12002380mm0.5950MPa)
Next Step Convert Units
CT=1+(12002.38m0.5950MPa)
Next Step Prepare to Evaluate
CT=1+(12002.380.5950)
Next Step Evaluate
CT=97.8135593220339
LAST Step Rounding Answer
CT=97.8136

Buckling Stiffness Factor Formula Elements

Variables
Buckling Stiffness Factor
Buckling stiffness factor in column stability calculations.
Symbol: CT
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Stiffness Factor for Wood
The stiffness factor for wood is 2300 for wood seasoned & 1200 for unseasoned or partly seasoned wood at the time of sheathing attachment.
Symbol: KM
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Effective Length
The effective length is given in terms of the unsupported length of the beam. Unsupported length is the distance between supports and adequate bracing is not installed elsewhere in the span.
Symbol: Le
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Stiffness Factor for Lumber
The stiffness factor for lumber is 0.59 for visually graded lumber and machine-evaluated lumber and 0.82 for products with a coefficient of variation of 0.11 or less.
Symbol: KT
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Modulus of Elasticity
The Modulus of Elasticity is the measure of the stiffness of a material. It is the slope of stress and strain diagram up to the limit of proportionality.
Symbol: E
Measurement: StressUnit: MPa
Note: Value should be greater than 0.

Other formulas in Column Stability and Buckling Stiffness Factor category

​Go Slenderness Ratio for Beams
RB=Led(w)2

How to Evaluate Buckling Stiffness Factor?

Buckling Stiffness Factor evaluator uses Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity)) to evaluate the Buckling Stiffness Factor, The Buckling Stiffness Factor formula is defined as the buckling stiffness of a truss compression chord of sawn lumber subjected to combined flexure and axial compression under dry service conditions. Buckling Stiffness Factor is denoted by CT symbol.

How to evaluate Buckling Stiffness Factor using this online evaluator? To use this online evaluator for Buckling Stiffness Factor, enter Stiffness Factor for Wood (KM), Effective Length (Le), Stiffness Factor for Lumber (KT) & Modulus of Elasticity (E) and hit the calculate button.

FAQs on Buckling Stiffness Factor

What is the formula to find Buckling Stiffness Factor?
The formula of Buckling Stiffness Factor is expressed as Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity)). Here is an example- 97.81356 = 1+((1200*2.38)/(0.59*50000000)).
How to calculate Buckling Stiffness Factor?
With Stiffness Factor for Wood (KM), Effective Length (Le), Stiffness Factor for Lumber (KT) & Modulus of Elasticity (E) we can find Buckling Stiffness Factor using the formula - Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity)).
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