Cross-Sectional Area of Column given Crippling Load and Rankine's Constant Calculator

✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+10% -10%
✖Rankine's Constant is the constant of Rankine's empirical formula.ⓘ Rankine's Constant [α]			+10% -10%
✖Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.ⓘ Effective Column Length [L_eff]			+10% -10%
✖Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.ⓘ Least Radius of Gyration Column [r_least]			+10% -10%
✖Column Crushing Stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.ⓘ Column Crushing Stress [σ_c]			+10% -10%

✖Column Cross Sectional Area 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.ⓘ Cross-Sectional Area of Column given Crippling Load and Rankine's Constant [A]

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Cross-Sectional Area of Column given Crippling Load and Rankine's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
A = (P*(1+α*(L_eff/r_least)^2))/σ_c
This formula uses 6 Variables

Variables Used

Column Cross Sectional Area - (Measured in Square Meter) - Column Cross Sectional Area 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.
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
Rankine's Constant - Rankine's Constant is the constant of Rankine's empirical formula.
Effective Column Length - (Measured in Meter) - Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration.
Least Radius of Gyration Column - (Measured in Meter) - Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations.
Column Crushing Stress - (Measured in Pascal) - Column Crushing Stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.

STEP 1: Convert Input(s) to Base Unit

Crippling Load: 588.9524 Kilonewton --> 588952.4 Newton (Check conversion here)
Rankine's Constant: 0.00038 --> No Conversion Required
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Column Crushing Stress: 750 Megapascal --> 750000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P*(1+α*(L_eff/r_least)^2))/σ_c --> (588952.4*(1+0.00038*(3/0.04702)^2))/750000000

Evaluating ... ...

A = 0.00199999995518706

STEP 3: Convert Result to Output's Unit

0.00199999995518706 Square Meter -->1999.99995518706 Square Millimeter (Check conversion here)

FINAL ANSWER

1999.99995518706 ≈ 2000 Square Millimeter <-- Column Cross Sectional Area

(Calculation completed in 00.005 seconds)

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< Euler and Rankine's Theory Calculators

Crushing Load by Rankine's Formula

LaTeX Go Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)

Crippling Load by Euler's Formula given Crippling Load by Rankine's

LaTeX Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)

Crippling Load by Rankine's

LaTeX Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)

Crushing Load given Ultimate Crushing Stress

LaTeX Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area

< Rankine's Formula Calculators

Cross-Sectional Area of Column given Crippling Load and Rankine's Constant

LaTeX Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress

Crippling Load given Rankine's Constant

LaTeX Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)

Crippling Load by Rankine's

LaTeX Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)

Cross-Sectional Area of Column given Crushing Load

LaTeX Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress

Cross-Sectional Area of Column given Crippling Load and Rankine's Constant Formula

LaTeX Go

Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
A = (P*(1+α*(L_eff/r_least)^2))/σ_c

What is Ultimate Compressive Strength?

Ultimate Compressive Strength is defined as the force at which a specimen with a certain cross-section, and consisting of a particular fracturing material, fails when it is subjected to compression. The ultimate compressive strength is normally measured in N/mm2 (force per area) and is thus stress.

How to Calculate Cross-Sectional Area of Column given Crippling Load and Rankine's Constant?

Cross-Sectional Area of Column given Crippling Load and Rankine's Constant calculator uses Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress to calculate the Column Cross Sectional Area, The Cross-Sectional Area of Column given Crippling Load and Rankine's Constant formula is defined as a measure of the internal area of a column that resists external forces, calculated based on the crippling load and Rankine's constant, providing a critical value for structural integrity in engineering design. Column Cross Sectional Area is denoted by A symbol.

How to calculate Cross-Sectional Area of Column given Crippling Load and Rankine's Constant using this online calculator? To use this online calculator for Cross-Sectional Area of Column given Crippling Load and Rankine's Constant, enter Crippling Load (P), Rankine's Constant (α), Effective Column Length (L_eff), Least Radius of Gyration Column (r_least) & Column Crushing Stress (σ_c) and hit the calculate button. Here is how the Cross-Sectional Area of Column given Crippling Load and Rankine's Constant calculation can be explained with given input values -> 2E+9 = (588952.4*(1+0.00038*(3/0.04702)^2))/750000000.

FAQ

What is Cross-Sectional Area of Column given Crippling Load and Rankine's Constant?

The Cross-Sectional Area of Column given Crippling Load and Rankine's Constant formula is defined as a measure of the internal area of a column that resists external forces, calculated based on the crippling load and Rankine's constant, providing a critical value for structural integrity in engineering design and is represented as A = (P*(1+α*(L_eff/r_least)^2))/σ_c or Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress. Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself, Rankine's Constant is the constant of Rankine's empirical formula, Effective Column Length can be defined as the length of an equivalent pin-ended column having the same load-carrying capacity as the member under consideration, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations & Column Crushing Stress is a special type of localized compressive stress which occurs at the surface of contact of two members that are relatively at rest.

How to calculate Cross-Sectional Area of Column given Crippling Load and Rankine's Constant?

The Cross-Sectional Area of Column given Crippling Load and Rankine's Constant formula is defined as a measure of the internal area of a column that resists external forces, calculated based on the crippling load and Rankine's constant, providing a critical value for structural integrity in engineering design is calculated using Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress. To calculate Cross-Sectional Area of Column given Crippling Load and Rankine's Constant, you need Crippling Load (P), Rankine's Constant (α), Effective Column Length (L_eff), Least Radius of Gyration Column (r_least) & Column Crushing Stress (σ_c). With our tool, you need to enter the respective value for Crippling Load, Rankine's Constant, Effective Column Length, Least Radius of Gyration Column & Column Crushing Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Column Cross Sectional Area?

In this formula, Column Cross Sectional Area uses Crippling Load, Rankine's Constant, Effective Column Length, Least Radius of Gyration Column & Column Crushing Stress. We can use 2 other way(s) to calculate the same, which is/are as follows -

Column Cross Sectional Area = Crushing Load/Column Crushing Stress
Column Cross Sectional Area = Crushing Load/Column Crushing Stress

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