Critical Slenderness Ratio for Cast Iron Columns Calculator

✖The Allowable Load is the maximum working load that can be applied on the structure.ⓘ Allowable Load [Q]			+10% -10%
✖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.ⓘ Section Area of Column [A]			+10% -10%

✖Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Critical Slenderness Ratio for Cast Iron Columns [λ]

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Formula

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Critical Slenderness Ratio for Cast Iron Columns

Formula

`"λ" = (12000-("Q"/"A"))/60`

Example

`"0.5"=(12000-("633.213N"/"52900mm²"))/60`

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Critical Slenderness Ratio for Cast Iron Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60
λ = (12000-(Q/A))/60
This formula uses 3 Variables

Variables Used

Slenderness Ratio - Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
Allowable Load - (Measured in Newton) - The Allowable Load is the maximum working load that can be applied on the structure.
Section Area of Column - (Measured in Square Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Allowable Load: 633.213 Newton --> 633.213 Newton No Conversion Required
Section Area of Column: 52900 Square Millimeter --> 0.0529 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ = (12000-(Q/A))/60 --> (12000-(633.213/0.0529))/60

Evaluating ... ...

λ = 0.50000000000003

STEP 3: Convert Result to Output's Unit

0.50000000000003 --> No Conversion Required

FINAL ANSWER

0.50000000000003 ≈ 0.5 <-- Slenderness Ratio

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Columns » Columns of Special Materials » Cast Iron Columns Design » Critical Slenderness Ratio for Cast Iron Columns

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< 3 Cast Iron Columns Design Calculators

Critical Slenderness Ratio for Cast Iron Columns

Go Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60

Allowable Load per Area for Cast Iron Columns

Go Allowable Load = (12000-(60*Slenderness Ratio))*Section Area of Column

Ultimate Load per Area for Cast Iron Columns

Go Ultimate Load = (34000-88*(Slenderness Ratio))*Section Area of Column

Critical Slenderness Ratio for Cast Iron Columns Formula

Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60
λ = (12000-(Q/A))/60

What is Slenderness Ratio?

It is defined as the effective length of the column and the least radius of gyration, the latter defined by the area of the cross-section of the column and is the second moment of the area of the cross-section.

What is the purpose of Slenderness Ratio?

It is used extensively for finding out the design load as well as in classifying various columns in short/intermediate/long. The slenderness ratio of a column gives an indication of buckling failure in the column. The more the slenderness ratio, more the tendency of a column to fail by buckling effect in that direction.

How to Calculate Critical Slenderness Ratio for Cast Iron Columns?

Critical Slenderness Ratio for Cast Iron Columns calculator uses Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60 to calculate 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 calculate Critical Slenderness Ratio for Cast Iron Columns using this online calculator? To use this online calculator for Critical Slenderness Ratio for Cast Iron Columns, enter Allowable Load (Q) & Section Area of Column (A) and hit the calculate button. Here is how the Critical Slenderness Ratio for Cast Iron Columns calculation can be explained with given input values -> 199.1882 = (12000-(633.213/0.0529))/60.

FAQ

What is Critical Slenderness Ratio for Cast Iron Columns?

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 and is represented as λ = (12000-(Q/A))/60 or Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60. The Allowable Load is the maximum working load that can be applied on the structure & 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.

How to calculate Critical Slenderness Ratio for Cast Iron Columns?

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 is calculated using Slenderness Ratio = (12000-(Allowable Load/Section Area of Column))/60. To calculate Critical Slenderness Ratio for Cast Iron Columns, you need Allowable Load (Q) & Section Area of Column (A). With our tool, you need to enter the respective value for Allowable Load & Section Area of Column and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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