FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Critical Slenderness Ratio for Cast Iron Columns Formula

Fx Copy

LaTeX Copy

Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section. Check FAQs

λ = \frac{12000 - (\frac{Q}{A})}{60}

λ - Slenderness Ratio?Q - Allowable Load?A - Section Area of Column?

Critical Slenderness Ratio for Cast Iron Columns Example

With values

With units

Only example

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

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

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

0.5 = \frac{12000 - (\frac{633.213}{52900})}{60}

0.5 = \frac{12000 - (\frac{633.213N}{52900mm²})}{60}

0.5 = \frac{12000 - (\frac{633.213}{52900})}{60}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Columns » fx Critical Slenderness Ratio for Cast Iron Columns

Critical Slenderness Ratio for Cast Iron Columns Solution

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

FIRST Step Consider the formula

λ = \frac{12000 - (\frac{Q}{A})}{60}

Next Step Substitute values of Variables

∴

λ = \frac{12000 - (\frac{633.213N}{52900mm²})}{60}

Next Step Convert Units

∴

λ = \frac{12000 - (\frac{633.213N}{0.0529m²})}{60}

Next Step Prepare to Evaluate

∴

λ = \frac{12000 - (\frac{633.213}{0.0529})}{60}

Next Step Evaluate

∴

λ = 0.50000000000003

LAST Step Rounding Answer

∴

λ = 0.5

Critical Slenderness Ratio for Cast Iron Columns Formula Elements

Variables

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.

Formulas to find Slenderness Ratio

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.

Formulas to find Allowable Load

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.

Formulas to find Section Area of Column

Other formulas in Cast Iron Columns Design category

Go Ultimate Load per Area for Cast Iron Columns

P = (34000 - 88 \cdot (λ)) \cdot A

Go Allowable Load per Area for Cast Iron Columns

Q = (12000 - (60 \cdot λ)) \cdot A

How to Evaluate Critical Slenderness Ratio for Cast Iron Columns?

Critical Slenderness Ratio for Cast Iron Columns evaluator uses Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60 to evaluate the Slenderness Ratio, The Critical Slenderness Ratio for Cast Iron 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 Cast Iron Columns using this online evaluator? To use this online evaluator for Critical Slenderness Ratio for Cast Iron Columns, enter Allowable Load (Q) & Section Area of Column (A) and hit the calculate button.

FAQs on Critical Slenderness Ratio for Cast Iron Columns

What is the formula to find Critical Slenderness Ratio for Cast Iron Columns?

The formula of Critical Slenderness Ratio for Cast Iron Columns is expressed as Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60. Here is an example- 199.1882 = (12000-(633.213/0.0529))/60.

How to calculate Critical Slenderness Ratio for Cast Iron Columns?

With Allowable Load (Q) & Section Area of Column (A) we can find Critical Slenderness Ratio for Cast Iron Columns using the formula - Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Critical Slenderness Ratio for Cast Iron Columns Formula

Critical Slenderness Ratio for Cast Iron Columns Example

Critical Slenderness Ratio for Cast Iron Columns Solution

Critical Slenderness Ratio for Cast Iron Columns Formula Elements

Other formulas in Cast Iron Columns Design category

How to Evaluate Critical Slenderness Ratio for Cast Iron Columns?

FAQs on Critical Slenderness Ratio for Cast Iron Columns

Variable Name