Crippling Load given Rankine's Constant 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%
✖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%

✖Crippling Load is the load over which a column prefers to deform laterally rather than compressing itself.ⓘ Crippling Load given Rankine's Constant [P]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Euler and Rankine's Theory Formulas PDF PDF Image

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 = (σ_c*A)/(1+α*(L_eff/r_least)^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 = (σ_c*A)/(1+α*(L_eff/r_least)^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 00.005 seconds)

You are here -

Home » Physics » Strength of Materials » Column And Struts » Mechanical » Euler and Rankine's Theory » Crippling Load given Rankine's Constant

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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 = (σ_c*A)/(1+α*(L_eff/r_least)^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 (σ_c), Column Cross Sectional Area (A), Rankine's Constant (α), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least) 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 = (σ_c*A)/(1+α*(L_eff/r_least)^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 (σ_c), Column Cross Sectional Area (A), Rankine's Constant (α), Effective Column Length (L_eff) & Least Radius of Gyration Column (r_least). 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.

Home

FREE PDFs

🔍 Search