Rankine's Formula for Columns Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)
Pr = 1/(1/PE+1/Pcs)
This formula uses 3 Variables
Variables Used
Rankine’s Critical Load - (Measured in Newton) - The Rankine’s Critical Load is the axial load at which a perfectly straight column or structural member starts to bend.
Euler’s Buckling Load - (Measured in Newton) - The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend.
Ultimate Crushing Load for Columns - (Measured in Newton) - The Ultimate Crushing Load for Columns is the ultimate load that column can bear before failure.
STEP 1: Convert Input(s) to Base Unit
Euler’s Buckling Load: 1491.407 Kilonewton --> 1491407 Newton (Check conversion ​here)
Ultimate Crushing Load for Columns: 520 Kilonewton --> 520000 Newton (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = 1/(1/PE+1/Pcs) --> 1/(1/1491407+1/520000)
Evaluating ... ...
Pr = 385566.740097852
STEP 3: Convert Result to Output's Unit
385566.740097852 Newton -->385.566740097852 Kilonewton (Check conversion ​here)
FINAL ANSWER
385.566740097852 385.5667 Kilonewton <-- Rankine’s Critical Load
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has created this Calculator and 50+ more calculators!
Verifier Image
Verified by Kethavath Srinath
Osmania University (OU), Hyderabad
Kethavath Srinath has verified this Calculator and 1200+ more calculators!

Stress and Strain Calculators

Elongation Circular Tapered Bar
​ LaTeX ​ Go Elongation in Circular Tapered Bar = (4*Load*Length of Bar)/(pi*Diameter of Bigger End*Diameter of Smaller End*Elastic Modulus)
Moment of Inertia for Hollow Circular Shaft
​ LaTeX ​ Go Moment of Inertia for Hollow Circular Shaft = pi/32*(Outer Diameter of Hollow Circular Section^(4)-Inner Diameter of Hollow Circular Section^(4))
Elongation of Prismatic Bar due to its Own Weight
​ LaTeX ​ Go Elongation of Prismatic Bar = (Load*Length of Bar)/(2*Area of Prismatic Bar*Elastic Modulus)
Moment of Inertia about Polar Axis
​ LaTeX ​ Go Polar Moment of Inertia = (pi*Diameter of Shaft^(4))/32

Rankine's Formula for Columns Formula

​LaTeX ​Go
Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns)
Pr = 1/(1/PE+1/Pcs)

What is Crippling Load?

The crippling load, or more frequently called load, is the load over which a column prefers to deform laterally rather than compressing itself. Buckling is not about going over the maximum compressive stress, it is rather about the structure finding a geometrically stable alternative to being compressed.

How to Calculate Rankine's Formula for Columns?

Rankine's Formula for Columns calculator uses Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns) to calculate the Rankine’s Critical Load, The Rankine's Formula for Columns formula is defined as a method to determine the crushing stress of a column, taking into account the external load and the internal resistance of the column, providing a reliable way to calculate the maximum stress a column can withstand before collapsing. Rankine’s Critical Load is denoted by Pr symbol.

How to calculate Rankine's Formula for Columns using this online calculator? To use this online calculator for Rankine's Formula for Columns, enter Euler’s Buckling Load (PE) & Ultimate Crushing Load for Columns (Pcs) and hit the calculate button. Here is how the Rankine's Formula for Columns calculation can be explained with given input values -> 0.385567 = 1/(1/1491407+1/520000).

FAQ

What is Rankine's Formula for Columns?
The Rankine's Formula for Columns formula is defined as a method to determine the crushing stress of a column, taking into account the external load and the internal resistance of the column, providing a reliable way to calculate the maximum stress a column can withstand before collapsing and is represented as Pr = 1/(1/PE+1/Pcs) or Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns). The Euler’s Buckling Load is the axial load at which a perfectly straight column or structural member starts to bend & The Ultimate Crushing Load for Columns is the ultimate load that column can bear before failure.
How to calculate Rankine's Formula for Columns?
The Rankine's Formula for Columns formula is defined as a method to determine the crushing stress of a column, taking into account the external load and the internal resistance of the column, providing a reliable way to calculate the maximum stress a column can withstand before collapsing is calculated using Rankine’s Critical Load = 1/(1/Euler’s Buckling Load+1/Ultimate Crushing Load for Columns). To calculate Rankine's Formula for Columns, you need Euler’s Buckling Load (PE) & Ultimate Crushing Load for Columns (Pcs). With our tool, you need to enter the respective value for Euler’s Buckling Load & Ultimate Crushing Load for Columns and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!