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Effective Length Factor Formula

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Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness. Check FAQs

k = \frac{l}{l'}

k - Effective Length Factor?l - Effective Column Length?l' - Actual Unbraced Length?

Effective Length Factor Example

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With units

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Here is how the Effective Length Factor equation looks like with Values.

Here is how the Effective Length Factor equation looks like with Units.

Here is how the Effective Length Factor equation looks like.

0.75 = \frac{3000}{4000}

0.75 = \frac{3000mm}{4000mm}

0.75 = \frac{3000}{4000}

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Effective Length Factor Solution

Follow our step by step solution on how to calculate Effective Length Factor?

FIRST Step Consider the formula

k = \frac{l}{l'}

Next Step Substitute values of Variables

∴

k = \frac{3000mm}{4000mm}

Next Step Convert Units

∴

k = \frac{3m}{4m}

Next Step Prepare to Evaluate

∴

k = \frac{3}{4}

LAST Step Evaluate

∴

k = 0.75

Effective Length Factor Formula Elements

Variables

Effective Length Factor

Effective Length Factor is the factor used for the members in the frame. It depends on the ratio of compression member stiffness to the end restraint stiffness.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Effective Length Factor

Effective Column Length

Effective Column Length of a column is the length of an equivalent pin-ended column that has the same load-carrying capacity and buckling behaviour as the actual column with different end conditions.

Symbol: l

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Column Length

Actual Unbraced Length

Actual Unbraced Length is the distance between ends of a structural member (such as a column) which are prevented from moving normal to the axis of the member, by bracing, by floor slabs, etc.

Symbol: l'

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Actual Unbraced Length

Other formulas in Allowable Stress Design for Building Columns category

Go Slenderness Ratio Used for Separation

C c = \sqrt{\frac{2 \cdot (π^{2}) \cdot E s}{F y}}

Go Factor for Unbraced Segment of any Cross-Section

C c = \frac{1986.66}{\sqrt{F y}}

Go Allowable Compressive Stress when Slenderness Ratio is Greater than Cc

F a = \frac{12 \cdot π^{2} \cdot E s}{23 \cdot {(\frac{k \cdot l}{r})}^{2}}

Go Allowable Compressive Stress when Slenderness Ratio is Less than Cc

F a = \frac{(1 - (\frac{{(\frac{k \cdot l}{r})}^{2}}{2 \cdot {C c}^{2}})) \cdot F y}{F s}

How to Evaluate Effective Length Factor?

Effective Length Factor evaluator uses Effective Length Factor = Effective Column Length/Actual Unbraced Length to evaluate the Effective Length Factor, The Effective Length Factor formula is defined as the ratio of effective length of column to actual unbraced length. Effective Length Factor is denoted by k symbol.

How to evaluate Effective Length Factor using this online evaluator? To use this online evaluator for Effective Length Factor, enter Effective Column Length (l) & Actual Unbraced Length (l') and hit the calculate button.

FAQs on Effective Length Factor

What is the formula to find Effective Length Factor?

The formula of Effective Length Factor is expressed as Effective Length Factor = Effective Column Length/Actual Unbraced Length. Here is an example- 0.75 = 3/4.

How to calculate Effective Length Factor?

With Effective Column Length (l) & Actual Unbraced Length (l') we can find Effective Length Factor using the formula - Effective Length Factor = Effective Column Length/Actual Unbraced Length.

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Effective Length Factor Formula

Effective Length Factor Example

Effective Length Factor Solution

Effective Length Factor Formula Elements

Other formulas in Allowable Stress Design for Building Columns category

How to Evaluate Effective Length Factor?

FAQs on Effective Length Factor

Variable Name