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Effective Length of Column given Actual Length if One End is Fixed Other is Hinged Formula

GoEffective Length of Column given Actual Length if Both Ends of Column are Fixed Formula

GoEffective Length of Column given Actual Length if One End is Fixed Other is Free Formula

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Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration. Check FAQs

L e = \frac{L}{\sqrt{2}}

L_e - Effective Length of Column?L - Length of Column?

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged Example

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With units

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Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Hinged equation looks like with Values.

Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Hinged equation looks like with Units.

Here is how the Effective Length of Column given Actual Length if One End is Fixed Other is Hinged equation looks like.

3535.5339 = \frac{5000}{\sqrt{2}}

3535.5339mm = \frac{5000mm}{\sqrt{2}}

3535.5339 = \frac{5000}{\sqrt{2}}

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Effective Length of Column given Actual Length if One End is Fixed Other is Hinged Solution

Follow our step by step solution on how to calculate Effective Length of Column given Actual Length if One End is Fixed Other is Hinged?

FIRST Step Consider the formula

L e = \frac{L}{\sqrt{2}}

Next Step Substitute values of Variables

∴

L e = \frac{5000mm}{\sqrt{2}}

Next Step Convert Units

∴

L e = \frac{5m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

L e = \frac{5}{\sqrt{2}}

Next Step Evaluate

∴

L e = 3.53553390593274m

Next Step Convert to Output's Unit

∴

L e = 3535.53390593274mm

LAST Step Rounding Answer

∴

L e = 3535.5339mm

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged Formula Elements

Variables

Functions

Effective Length of Column

Effective length of column is the length of an equivalent pin-ended column that has the same load-carrying capacity as the actual column under consideration.

Symbol: L_e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Effective Length of Column

Length of Column

Length of column refers to the distance between its two ends, a crucial factor in determining the column’s behavior under load, particularly its susceptibility to buckling.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Column

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Effective Length of Column

Go Effective Length of Column given Actual Length if Both Ends of Column are Fixed

L e = \frac{L}{2}

Go Effective Length of Column given Actual Length if One End is Fixed Other is Free

L e = 2 \cdot L

Go Effective Length of Column given Crippling Load for any type of End Condition

L e = \sqrt{\frac{π^{2} \cdot ε c \cdot I}{P cr}}

Go Effective Length of Column given Crippling Stress

L e = \sqrt{\frac{π^{2} \cdot ε c \cdot r^{2}}{σ crippling}}

Other formulas in Estimation of Effective Length of Columns category

Go Radius of Gyration given Effective Length and Crippling Load

r = \sqrt{\frac{P cr \cdot {L e}^{2}}{π^{2} \cdot ε c \cdot A}}

How to Evaluate Effective Length of Column given Actual Length if One End is Fixed Other is Hinged?

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged evaluator uses Effective Length of Column = Length of Column/(sqrt(2)) to evaluate the Effective Length of Column, Effective Length of Column given Actual Length if One End is Fixed Other is Hinged formula is defined as the length of a column that takes into account the end conditions, specifically when one end is fixed and the other is hinged, which affects the column's stability and load-carrying capacity. Effective Length of Column is denoted by L_e symbol.

How to evaluate Effective Length of Column given Actual Length if One End is Fixed Other is Hinged using this online evaluator? To use this online evaluator for Effective Length of Column given Actual Length if One End is Fixed Other is Hinged, enter Length of Column (L) and hit the calculate button.

FAQs on Effective Length of Column given Actual Length if One End is Fixed Other is Hinged

What is the formula to find Effective Length of Column given Actual Length if One End is Fixed Other is Hinged?

The formula of Effective Length of Column given Actual Length if One End is Fixed Other is Hinged is expressed as Effective Length of Column = Length of Column/(sqrt(2)). Here is an example- 3.5E+6 = 5/(sqrt(2)).

How to calculate Effective Length of Column given Actual Length if One End is Fixed Other is Hinged?

With Length of Column (L) we can find Effective Length of Column given Actual Length if One End is Fixed Other is Hinged using the formula - Effective Length of Column = Length of Column/(sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Effective Length of Column?

Here are the different ways to Calculate Effective Length of Column-

Effective Length of Column=Length of Column/2
Effective Length of Column=2*Length of Column
Effective Length of Column=sqrt((pi^2*Modulus of Elasticity of Column*Moment of Inertia Column)/(Column Crippling Load))

Can the Effective Length of Column given Actual Length if One End is Fixed Other is Hinged be negative?

No, the Effective Length of Column given Actual Length if One End is Fixed Other is Hinged, measured in Length cannot be negative.

Which unit is used to measure Effective Length of Column given Actual Length if One End is Fixed Other is Hinged?

Effective Length of Column given Actual Length if One End is Fixed Other is Hinged 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 given Actual Length if One End is Fixed Other is Hinged can be measured.

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