Crippling Load given Rankine's Constant Solution

STEP 0: Pre-Calculation Summary
Formula Used
Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)
P = (σc*A)/(1+α*(Leff/rleast)^2)
This formula uses 6 Variables
Variables Used
Crippling Load - (Measured in Newton) - Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.
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.
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.
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)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (σc*A)/(1+α*(Leff/rleast)^2) --> (750000000*0.002)/(1+0.00038*(3/0.04702)^2)
Evaluating ... ...
P = 588952.413196345
STEP 3: Convert Result to Output's Unit
588952.413196345 Newton -->588.952413196345 Kilonewton (Check conversion ​here)
FINAL ANSWER
588.952413196345 588.9524 Kilonewton <-- Crippling Load
(Calculation completed in 00.004 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

Crippling Load given Rankine's Constant Formula

​LaTeX ​Go
Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)
P = (σc*A)/(1+α*(Leff/rleast)^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 Crippling Load given Rankine's Constant?

Crippling Load given Rankine's Constant calculator uses Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2) to calculate the Crippling Load, The Crippling Load given Rankine's Constant formula is defined as a measure of the maximum load that a column can withstand before it collapses, taking into account the effects of the Rankine's constant, effective length, and least radius of gyration of the column. Crippling Load is denoted by P symbol.

How to calculate Crippling Load given Rankine's Constant using this online calculator? To use this online calculator for Crippling Load given Rankine's Constant, enter Column Crushing Stress c), Column Cross Sectional Area (A), Rankine's Constant (α), Effective Column Length (Leff) & Least Radius of Gyration Column (rleast) and hit the calculate button. Here is how the Crippling Load given Rankine's Constant calculation can be explained with given input values -> 0.588952 = (750000000*0.002)/(1+0.00038*(3/0.04702)^2).

FAQ

What is Crippling Load given Rankine's Constant?
The Crippling Load given Rankine's Constant formula is defined as a measure of the maximum load that a column can withstand before it collapses, taking into account the effects of the Rankine's constant, effective length, and least radius of gyration of the column and is represented as P = (σc*A)/(1+α*(Leff/rleast)^2) or Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^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, 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.
How to calculate Crippling Load given Rankine's Constant?
The Crippling Load given Rankine's Constant formula is defined as a measure of the maximum load that a column can withstand before it collapses, taking into account the effects of the Rankine's constant, effective length, and least radius of gyration of the column is calculated using Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2). To calculate Crippling Load given Rankine's Constant, you need Column Crushing Stress c), Column Cross Sectional Area (A), Rankine's Constant (α), Effective Column Length (Leff) & Least Radius of Gyration Column (rleast). With our tool, you need to enter the respective value for Column Crushing Stress, Column Cross Sectional Area, Rankine's Constant, Effective Column Length & Least Radius of Gyration 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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