Buckling Stiffness Factor Calculator

✖The stiffness factor for wood is 2300 for wood seasoned & 1200 for unseasoned or partly seasoned wood at the time of sheathing attachment.ⓘ Stiffness Factor for Wood [K_M]			+10% -10%
✖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.ⓘ Effective Length [L_e]			+10% -10%
✖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.ⓘ Stiffness Factor for Lumber [K_T]			+10% -10%
✖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.ⓘ Modulus of Elasticity [E]			+10% -10%

✖Buckling stiffness factor in column stability calculations.ⓘ Buckling Stiffness Factor [C_T]

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Formula

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Buckling Stiffness Factor

Formula

`"C"_{"T"} = 1+(("K"_{"M"}*"L"_{"e"})/("K"_{"T"}*"E"))`

Example

`"97.81356"=1+(("1200"*"2380mm")/("0.59"*"50MPa"))`

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Buckling Stiffness Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity))
C_T = 1+((K_M*L_e)/(K_T*E))
This formula uses 5 Variables

Variables Used

Buckling Stiffness Factor - Buckling stiffness factor in column stability calculations.
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.
Effective Length - (Measured in Meter) - 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.
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.
Modulus of Elasticity - (Measured in Megapascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Stiffness Factor for Wood: 1200 --> No Conversion Required
Effective Length: 2380 Millimeter --> 2.38 Meter (Check conversion here)
Stiffness Factor for Lumber: 0.59 --> No Conversion Required
Modulus of Elasticity: 50 Megapascal --> 50 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_T = 1+((K_M*L_e)/(K_T*E)) --> 1+((1200*2.38)/(0.59*50))

Evaluating ... ...

C_T = 97.8135593220339

STEP 3: Convert Result to Output's Unit

97.8135593220339 --> No Conversion Required

FINAL ANSWER

97.8135593220339 ≈ 97.81356 <-- Buckling Stiffness Factor

(Calculation completed in 00.004 seconds)

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< 2 Column Stability and Buckling Stiffness Factor Calculators

Buckling Stiffness Factor

Go Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity))

Slenderness Ratio for Beams

Go Slenderness Ratio = sqrt((Effective Length*Depth of Cross Section)/(Width of Cross Section)^2)

Buckling Stiffness Factor Formula

Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity))
C_T = 1+((K_M*L_e)/(K_T*E))

What is the function of Buckling Stiffness?

The buckling stiffness of a truss compression chord of sawn lumber subjected to combined flexure and axial compression under dry service conditions may be increased if the chord is 2 X 4 in (50.8 X 101.6 mm) or smaller and has the narrow face braced by nailing to plywood sheathing at least in (9.5 mm) thick in accordance with good nailing practice. The increased stiffness may be accounted for by multiplying the design value of the modulus of elasticity E by
the buckling stiffness factor CT in column stability calculations.

How to Calculate Buckling Stiffness Factor?

Buckling Stiffness Factor calculator uses Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity)) to calculate 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 C_T symbol.

How to calculate Buckling Stiffness Factor using this online calculator? To use this online calculator for Buckling Stiffness Factor, enter Stiffness Factor for Wood (K_M), Effective Length (L_e), Stiffness Factor for Lumber (K_T) & Modulus of Elasticity (E) and hit the calculate button. Here is how the Buckling Stiffness Factor calculation can be explained with given input values -> 97.81356 = 1+((1200*2.38)/(0.59*50000000)).

FAQ

What is 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 and is represented as C_T = 1+((K_M*L_e)/(K_T*E)) or Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity)). The stiffness factor for wood is 2300 for wood seasoned & 1200 for unseasoned or partly seasoned wood at the time of sheathing attachment, 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, 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 & 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.

How to calculate 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 is calculated using Buckling Stiffness Factor = 1+((Stiffness Factor for Wood*Effective Length)/(Stiffness Factor for Lumber*Modulus of Elasticity)). To calculate Buckling Stiffness Factor, you need Stiffness Factor for Wood (K_M), Effective Length (L_e), Stiffness Factor for Lumber (K_T) & Modulus of Elasticity (E). With our tool, you need to enter the respective value for Stiffness Factor for Wood, Effective Length, Stiffness Factor for Lumber & Modulus of Elasticity 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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