Critical Slenderness Ratio for Aluminium Columns Formula

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Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section. Check FAQs
λ=51000000QA
λ - Slenderness Ratio?Q - Allowable Load?A - Section Area of Column?

Critical Slenderness Ratio for Aluminium Columns Example

With values
With units
Only example

Here is how the Critical Slenderness Ratio for Aluminium Columns equation looks like with Values.

Here is how the Critical Slenderness Ratio for Aluminium Columns equation looks like with Units.

Here is how the Critical Slenderness Ratio for Aluminium Columns equation looks like.

65.2737Edit=51000000633.213Edit52900Edit
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Critical Slenderness Ratio for Aluminium Columns Solution

Follow our step by step solution on how to calculate Critical Slenderness Ratio for Aluminium Columns?

FIRST Step Consider the formula
λ=51000000QA
Next Step Substitute values of Variables
λ=51000000633.213N52900mm²
Next Step Convert Units
λ=51000000633.213N0.0529
Next Step Prepare to Evaluate
λ=51000000633.2130.0529
Next Step Evaluate
λ=65.2736671949162
LAST Step Rounding Answer
λ=65.2737

Critical Slenderness Ratio for Aluminium Columns Formula Elements

Variables
Functions
Slenderness Ratio
Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Symbol: λ
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Allowable Load
The Allowable Load is the maximum working load that can be applied on the structure.
Symbol: Q
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Section Area of Column
The Section Area of Column 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
Measurement: AreaUnit: mm²
Note: Value should be greater than 0.
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 in Aluminium Column Design category

​Go Ultimate Load per Area for Aluminium Columns given Allowable Load and Section Area
P=(1.95(QA))A
​Go Ultimate Load per Area for Aluminium Columns
P=(34000-88λ)A

How to Evaluate Critical Slenderness Ratio for Aluminium Columns?

Critical Slenderness Ratio for Aluminium Columns evaluator uses Slenderness Ratio = sqrt(51000000/(Allowable Load/Section Area of Column)) to evaluate the Slenderness Ratio, The Critical Slenderness Ratio for Aluminium Columns formula is defined as the effective length of the column and is the least radius of gyration, the latter defined by where is the area of the cross-section of the column and is the second moment of area of the cross-section. Slenderness Ratio is denoted by λ symbol.

How to evaluate Critical Slenderness Ratio for Aluminium Columns using this online evaluator? To use this online evaluator for Critical Slenderness Ratio for Aluminium Columns, enter Allowable Load (Q) & Section Area of Column (A) and hit the calculate button.

FAQs on Critical Slenderness Ratio for Aluminium Columns

What is the formula to find Critical Slenderness Ratio for Aluminium Columns?
The formula of Critical Slenderness Ratio for Aluminium Columns is expressed as Slenderness Ratio = sqrt(51000000/(Allowable Load/Section Area of Column)). Here is an example- 1023.25 = sqrt(51000000/(633.213/0.0529)).
How to calculate Critical Slenderness Ratio for Aluminium Columns?
With Allowable Load (Q) & Section Area of Column (A) we can find Critical Slenderness Ratio for Aluminium Columns using the formula - Slenderness Ratio = sqrt(51000000/(Allowable Load/Section Area of Column)). This formula also uses Square Root (sqrt) function(s).
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