Ultimate Load per Area for Cast Iron Columns Calculator

✖Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ]			+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%

✖The Ultimate Load is a statistical figure used in calculations and should (hopefully) never actually occur. Strength requirements are specified in terms of limit loads and ultimate loads.ⓘ Ultimate Load per Area for Cast Iron Columns [P]

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Ultimate Load per Area for Cast Iron Columns Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ultimate Load = (34000-88*(Slenderness Ratio))*Section Area of Column
P = (34000-88*(λ))*A
This formula uses 3 Variables

Variables Used

Ultimate Load - (Measured in Newton) - The Ultimate Load is a statistical figure used in calculations and should (hopefully) never actually occur. Strength requirements are specified in terms of limit loads and ultimate loads.
Slenderness Ratio - Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section.
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

Slenderness Ratio: 0.5 --> 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

P = (34000-88*(λ))*A --> (34000-88*(0.5))*0.0529

Evaluating ... ...

P = 1796.2724

STEP 3: Convert Result to Output's Unit

1796.2724 Newton --> No Conversion Required

FINAL ANSWER

1796.2724 ≈ 1796.272 Newton <-- Ultimate Load

(Calculation completed in 00.004 seconds)

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Cummins College of Engineering for Women (CCEW), Pune

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< Cast Iron Columns Design Calculators

Critical Slenderness Ratio for Cast Iron Columns

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

Allowable Load per Area for Cast Iron Columns

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

Ultimate Load per Area for Cast Iron Columns

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

Ultimate Load per Area for Cast Iron Columns Formula

LaTeX Go

Ultimate Load = (34000-88*(Slenderness Ratio))*Section Area of Column
P = (34000-88*(λ))*A

What is the difference between Ultimate Load and Allowable Load?

Under the Allowable Stress Design (ASD) method, the allowable load is based on the application of a safety factor to the mean result of laboratory testing to failure, regardless of the controlling failure mode observed in the tests.
the ultimate load is a statistical figure used in calculations and should (hopefully) never actually occur.
Strength requirements are specified in terms of limit loads (the maximum loads to be expected in service) and ultimate loads (limit loads multiplied by prescribed factors of safety).

Define Slenderness Ratio and it's purpose.

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.
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 Ultimate Load per Area for Cast Iron Columns?

Ultimate Load per Area for Cast Iron Columns calculator uses Ultimate Load = (34000-88*(Slenderness Ratio))*Section Area of Column to calculate the Ultimate Load, The Ultimate Load per Area for Cast Iron Columns formula is defined as the Limit Load multiplied by a prescribed Safety Factor per unit cross sectional area for Cast Iron Columns. Ultimate Load is denoted by P symbol.

How to calculate Ultimate Load per Area for Cast Iron Columns using this online calculator? To use this online calculator for Ultimate Load per Area for Cast Iron Columns, enter Slenderness Ratio (λ) & Section Area of Column (A) and hit the calculate button. Here is how the Ultimate Load per Area for Cast Iron Columns calculation can be explained with given input values -> 1796.272 = (34000-88*(0.5))*0.0529.

FAQ

What is Ultimate Load per Area for Cast Iron Columns?

The Ultimate Load per Area for Cast Iron Columns formula is defined as the Limit Load multiplied by a prescribed Safety Factor per unit cross sectional area for Cast Iron Columns and is represented as P = (34000-88*(λ))*A or Ultimate Load = (34000-88*(Slenderness Ratio))*Section Area of Column. Slenderness Ratio is the ratio of the length of a column and the least radius of gyration of its cross section & 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 Ultimate Load per Area for Cast Iron Columns?

The Ultimate Load per Area for Cast Iron Columns formula is defined as the Limit Load multiplied by a prescribed Safety Factor per unit cross sectional area for Cast Iron Columns is calculated using Ultimate Load = (34000-88*(Slenderness Ratio))*Section Area of Column. To calculate Ultimate Load per Area for Cast Iron Columns, you need Slenderness Ratio (λ) & Section Area of Column (A). With our tool, you need to enter the respective value for Slenderness Ratio & 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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