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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19 Euler and Rankine's Theory Calculators

Effective Length of Column given Crippling Load and Rankine's Constant
Go Effective Column Length = sqrt((Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1)*(Least Radius of Gyration Column^2)/Rankine's Constant)
Least Radius of Gyration given Crippling Load and Rankine's Constant
Go Least Radius of Gyration Column = sqrt((Rankine's Constant*Effective Column Length^2)/(Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1))
Rankine's Constant given Crippling Load
Go Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2
Cross-Sectional Area of Column given Crippling Load and Rankine's Constant
Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
Ultimate Crushing Stress given Crippling Load and Rankine's Constant
Go Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area
Crippling Load given Rankine's Constant
Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)
Effective Length of Column given Crippling Load by Euler's Formula
Go Effective Column Length = sqrt((pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Euler’s Buckling Load))
Crushing Load by Rankine's Formula
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 Formula
Go Euler’s Buckling Load = (Crushing Load*Rankine’s Critical Load)/(Crushing Load-Rankine’s Critical Load)
Crippling Load by Rankine's Formula
Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)
Modulus of Elasticity given Crippling Load by Euler's Formula
Go Modulus of Elasticity Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Moment of Inertia Column)
Moment of Inertia given Crippling Load by Euler's Formula
Go Moment of Inertia Column = (Euler’s Buckling Load*Effective Column Length^2)/(pi^2*Modulus of Elasticity Column)
Crippling Load by Euler's Formula
Go Euler’s Buckling Load = (pi^2*Modulus of Elasticity Column*Moment of Inertia Column)/(Effective Column Length^2)
Modulus of Elasticity given Rankine's Constant
Go Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)
Rankine's Constant
Go Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)
Ultimate Crushing Stress given Rankine's Constant
Go Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column
Cross-Sectional Area of Column given Crushing Load
Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress
Crushing Load given Ultimate Crushing Stress
Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area
Ultimate Crushing Stress given Crushing Load
Go Column Crushing Stress = Crushing Load/Column Cross Sectional Area

14 Rankine's Formula Calculators

Effective Length of Column given Crippling Load and Rankine's Constant
Go Effective Column Length = sqrt((Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1)*(Least Radius of Gyration Column^2)/Rankine's Constant)
Least Radius of Gyration given Crippling Load and Rankine's Constant
Go Least Radius of Gyration Column = sqrt((Rankine's Constant*Effective Column Length^2)/(Column Crushing Stress*Column Cross Sectional Area/Crippling Load-1))
Rankine's Constant given Crippling Load
Go Rankine's Constant = ((Column Crushing Stress*Column Cross Sectional Area)/Crippling Load-1)*((Least Radius of Gyration Column)/Effective Column Length)^2
Cross-Sectional Area of Column given Crippling Load and Rankine's Constant
Go Column Cross Sectional Area = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Crushing Stress
Ultimate Crushing Stress given Crippling Load and Rankine's Constant
Go Column Crushing Stress = (Crippling Load*(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2))/Column Cross Sectional Area
Crippling Load given Rankine's Constant
Go Crippling Load = (Column Crushing Stress*Column Cross Sectional Area)/(1+Rankine's Constant*(Effective Column Length/Least Radius of Gyration Column)^2)
Crushing Load by Rankine's Formula
Go Crushing Load = (Rankine’s Critical Load*Euler’s Buckling Load)/(Euler’s Buckling Load-Rankine’s Critical Load)
Crippling Load by Rankine's Formula
Go Rankine’s Critical Load = (Crushing Load*Euler’s Buckling Load)/(Crushing Load+Euler’s Buckling Load)
Modulus of Elasticity given Rankine's Constant
Go Modulus of Elasticity Column = Column Crushing Stress/(pi^2*Rankine's Constant)
Rankine's Constant
Go Rankine's Constant = Column Crushing Stress/(pi^2*Modulus of Elasticity Column)
Ultimate Crushing Stress given Rankine's Constant
Go Column Crushing Stress = Rankine's Constant*pi^2*Modulus of Elasticity Column
Cross-Sectional Area of Column given Crushing Load
Go Column Cross Sectional Area = Crushing Load/Column Crushing Stress
Crushing Load given Ultimate Crushing Stress
Go Crushing Load = Column Crushing Stress*Column Cross Sectional Area
Ultimate Crushing Stress given Crushing Load
Go Column Crushing Stress = Crushing Load/Column Cross Sectional Area

Crippling Load given Rankine's Constant Formula

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 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 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 the load over which a column prefers to deform laterally rather than compressing itself. 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 the load over which a column prefers to deform laterally rather than compressing itself 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 the load over which a column prefers to deform laterally rather than compressing itself 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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