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Effective Length of Column by Straight Line Formula for Columns and Struts Formula

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Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration. Check FAQs

L eff = \frac{σ c - (\frac{P}{A sectional})}{n \cdot (\frac{1}{r least})}

L_eff - Effective Column Length?σ_c - Column Compressive Stress?P - Crippling Load?A_sectional - Column Cross Sectional Area?n - Straight line formula constant?r_least - Least Radius of Gyration Column?

Effective Length of Column by Straight Line Formula for Columns and Struts Example

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Here is how the Effective Length of Column by Straight Line Formula for Columns and Struts equation looks like with Values.

Here is how the Effective Length of Column by Straight Line Formula for Columns and Struts equation looks like with Units.

Here is how the Effective Length of Column by Straight Line Formula for Columns and Struts equation looks like.

3.8E+7 = \frac{3.2 - (\frac{3.6}{1.4})}{4 \cdot (\frac{1}{47.02})}

3.8E+7mm = \frac{3.2MPa - (\frac{3.6kN}{1.4m²})}{4 \cdot (\frac{1}{47.02mm})}

3.8E+7 = \frac{3.2 - (\frac{3.6}{1.4})}{4 \cdot (\frac{1}{47.02})}

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Effective Length of Column by Straight Line Formula for Columns and Struts Solution

Follow our step by step solution on how to calculate Effective Length of Column by Straight Line Formula for Columns and Struts?

FIRST Step Consider the formula

L eff = \frac{σ c - (\frac{P}{A sectional})}{n \cdot (\frac{1}{r least})}

Next Step Substitute values of Variables

∴

L eff = \frac{3.2MPa - (\frac{3.6kN}{1.4m²})}{4 \cdot (\frac{1}{47.02mm})}

Next Step Convert Units

∴

L eff = \frac{3.2E+6Pa - (\frac{3600N}{1.4m²})}{4 \cdot (\frac{1}{0.047m})}

Next Step Prepare to Evaluate

∴

L eff = \frac{3.2E+6 - (\frac{3600}{1.4})}{4 \cdot (\frac{1}{0.047})}

Next Step Evaluate

∴

L eff = 37585.7728571429m

Next Step Convert to Output's Unit

∴

L eff = 37585772.8571429mm

LAST Step Rounding Answer

∴

L eff = 3.8E+7mm

Effective Length of Column by Straight Line Formula for Columns and Struts Formula Elements

Variables

Effective Column Length

Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.

Symbol: L_eff

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Column Length

Column Compressive Stress

Column Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Column Compressive Stress

Crippling Load

Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.

Symbol: P

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Crippling Load

Column Cross Sectional Area

Column Cross Sectional Area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_sectional

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Column Cross Sectional Area

Straight line formula constant

Straight line formula constant is defined as the constant that depends on the material of column.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Straight line formula constant

Least Radius of Gyration Column

Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.

Symbol: r_least

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Least Radius of Gyration Column

Other formulas in Straight Line Formula category

Go Crippling Load on Column by Straight-Line Formula

P = (σ c - (n \cdot (\frac{L eff}{r least}))) \cdot A sectional

Go Compressive Yield Stress by Straight-Line Formula for Columns and Struts

σ c = (\frac{P}{A sectional}) + (n \cdot (\frac{L eff}{r least}))

Go Cross-Sectional Area of Column by Straight-Line Formula for Columns and Struts

A sectional = \frac{P}{σ c - (n \cdot (\frac{L eff}{r least}))}

Go Constant Depending on Material of Column by Straight-Line Formula for Columns and Struts

n = \frac{σ c - (\frac{P}{A sectional})}{(\frac{L eff}{r least})}

How to Evaluate Effective Length of Column by Straight Line Formula for Columns and Struts?

Effective Length of Column by Straight Line Formula for Columns and Struts evaluator uses Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column)) to evaluate the Effective Column Length, Effective Length of Column by Straight Line Formula for Columns and Struts formula is defined as a method to determine the effective length of a column or strut, which is essential in calculating the load-carrying capacity of a structural member, taking into account the column's cross-sectional area and the radius of gyration. Effective Column Length is denoted by L_eff symbol.

How to evaluate Effective Length of Column by Straight Line Formula for Columns and Struts using this online evaluator? To use this online evaluator for Effective Length of Column by Straight Line Formula for Columns and Struts, enter Column Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional), Straight line formula constant (n) & Least Radius of Gyration Column (r_least) and hit the calculate button.

FAQs on Effective Length of Column by Straight Line Formula for Columns and Struts

What is the formula to find Effective Length of Column by Straight Line Formula for Columns and Struts?

The formula of Effective Length of Column by Straight Line Formula for Columns and Struts is expressed as Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column)). Here is an example- 3.8E+10 = (3200000-(3600/1.4))/(4*(1/0.04702)).

How to calculate Effective Length of Column by Straight Line Formula for Columns and Struts?

With Column Compressive Stress (σ_c), Crippling Load (P), Column Cross Sectional Area (A_sectional), Straight line formula constant (n) & Least Radius of Gyration Column (r_least) we can find Effective Length of Column by Straight Line Formula for Columns and Struts using the formula - Effective Column Length = (Column Compressive Stress-(Crippling Load/Column Cross Sectional Area))/(Straight line formula constant*(1/Least Radius of Gyration Column)).

Can the Effective Length of Column by Straight Line Formula for Columns and Struts be negative?

No, the Effective Length of Column by Straight Line Formula for Columns and Struts, measured in Length cannot be negative.

Which unit is used to measure Effective Length of Column by Straight Line Formula for Columns and Struts?

Effective Length of Column by Straight Line Formula for Columns and Struts is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Effective Length of Column by Straight Line Formula for Columns and Struts can be measured.

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Effective Length of Column by Straight Line Formula for Columns and Struts Formula

Effective Length of Column by Straight Line Formula for Columns and Struts Example

Effective Length of Column by Straight Line Formula for Columns and Struts Solution

Effective Length of Column by Straight Line Formula for Columns and Struts Formula Elements

Other formulas in Straight Line Formula category

How to Evaluate Effective Length of Column by Straight Line Formula for Columns and Struts?

FAQs on Effective Length of Column by Straight Line Formula for Columns and Struts

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