Rankine's Constant given Crippling Load Calculator

✖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.ⓘ Column Cross Sectional Area [A]			+10% -10%
✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load [P]			+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%
✖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%

✖Rankine's Constant is the constant of Rankine's empirical formula.ⓘ Rankine's Constant given Crippling Load [α]

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Rankine's Constant given Crippling Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Rankine's Constant - Rankine's Constant is the constant of Rankine's empirical formula.
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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Column Crushing Stress: 750 Megapascal --> 750000000 Pascal (Check conversion here)
Column Cross Sectional Area: 2000 Square Millimeter --> 0.002 Square Meter (Check conversion here)
Crippling Load: 588.9524 Kilonewton --> 588952.4 Newton (Check conversion here)
Least Radius of Gyration Column: 47.02 Millimeter --> 0.04702 Meter (Check conversion here)
Effective Column Length: 3000 Millimeter --> 3 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = ((σ_c*A)/P-1)*((r_least)/L_eff)^2 --> ((750000000*0.002)/588952.4-1)*((0.04702)/3)^2

Evaluating ... ...

α = 0.000380000014018684

STEP 3: Convert Result to Output's Unit

0.000380000014018684 --> No Conversion Required

FINAL ANSWER

0.000380000014018684 ≈ 0.00038 <-- Rankine's Constant

(Calculation completed in 00.020 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

Rankine's Constant given Crippling Load Formula

LaTeX Go

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

What is Crippling Load?

The Crippling Load, also known as the Critical Load or Buckling Load, refers to the maximum load a structural member, such as a column or slender element, can carry before it experiences buckling or instability.

How to Calculate Rankine's Constant given Crippling Load?

Rankine's Constant given Crippling Load calculator uses Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2 to calculate the Rankine's Constant, The Rankine's Constant given Crippling Load formula is defined as a measure of the critical load at which a long slender column will buckle, considering the crippling load, cross-sectional area, and effective length of the column, providing a crucial parameter in Euler and Rankine's Theory for structural analysis. Rankine's Constant is denoted by α symbol.

How to calculate Rankine's Constant given Crippling Load using this online calculator? To use this online calculator for Rankine's Constant given Crippling Load, enter Column Crushing Stress (σ_c), Column Cross Sectional Area (A), Crippling Load (P), Least Radius of Gyration Column (r_least) & Effective Column Length (L_eff) and hit the calculate button. Here is how the Rankine's Constant given Crippling Load calculation can be explained with given input values -> 0.00038 = ((750000000*0.002)/588952.4-1)*((0.04702)/3)^2.

FAQ

What is Rankine's Constant given Crippling Load?

The Rankine's Constant given Crippling Load formula is defined as a measure of the critical load at which a long slender column will buckle, considering the crippling load, cross-sectional area, and effective length of the column, providing a crucial parameter in Euler and Rankine's Theory for structural analysis and is represented as α = ((σ_c*A)/P-1)*((r_least)/L_eff)^2 or Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2. 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 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 is the load over which a column prefers to deform laterally rather than compressing itself, Least Radius of Gyration Column is the smallest value of the radius of gyration is used for structural calculations & 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.

How to calculate Rankine's Constant given Crippling Load?

The Rankine's Constant given Crippling Load formula is defined as a measure of the critical load at which a long slender column will buckle, considering the crippling load, cross-sectional area, and effective length of the column, providing a crucial parameter in Euler and Rankine's Theory for structural analysis is calculated using Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2. To calculate Rankine's Constant given Crippling Load, you need Column Crushing Stress (σ_c), Column Cross Sectional Area (A), Crippling Load (P), Least Radius of Gyration Column (r_least) & Effective Column Length (L_eff). With our tool, you need to enter the respective value for Column Crushing Stress, Column Cross Sectional Area, Crippling Load, Least Radius of Gyration Column & Effective Column Length 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 Rankine's Constant?

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

Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)
Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)

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