Column Slenderness Ratio for Critical Buckling Load Calculator

✖Cross Section Area of Column is the shape we get when cutting straight through the column.ⓘ Cross Section Area of Column [A]			+10% -10%
✖Elastic modulus is the ratio of stress to its strain.ⓘ Elastic Modulus [E]			+10% -10%
✖Critical Buckling Load for Drill String is defined as the greatest load that will not cause lateral deflection.ⓘ Critical Buckling Load for Drill String [P_cr]			+10% -10%

✖Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration.ⓘ Column Slenderness Ratio for Critical Buckling Load [Lcr_ratio]

⎘ Copy

👎

Formula

✖

Column Slenderness Ratio for Critical Buckling Load

Formula

`"Lcr"_{"ratio"} = sqrt(("A"*pi^2*"E")/"P"_{"cr"})`

Example

`"160"=sqrt(("0.0688m²"*pi^2*"2E11N/m²")/"5304.912kN")`

Calculator

LaTeX

Reset

👍

Download Hydrostatics Formulas PDF

Column Slenderness Ratio for Critical Buckling Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Column Slenderness Ratio = sqrt((Cross Section Area of Column*pi^2*Elastic Modulus)/Critical Buckling Load for Drill String)
Lcr_ratio = sqrt((A*pi^2*E)/P_cr)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Column Slenderness Ratio - Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration.
Cross Section Area of Column - (Measured in Square Meter) - Cross Section Area of Column is the shape we get when cutting straight through the column.
Elastic Modulus - (Measured in Pascal) - Elastic modulus is the ratio of stress to its strain.
Critical Buckling Load for Drill String - (Measured in Newton) - Critical Buckling Load for Drill String is defined as the greatest load that will not cause lateral deflection.

STEP 1: Convert Input(s) to Base Unit

Cross Section Area of Column: 0.0688 Square Meter --> 0.0688 Square Meter No Conversion Required
Elastic Modulus: 200000000000 Newton per Square Meter --> 200000000000 Pascal (Check conversion here)
Critical Buckling Load for Drill String: 5304.912 Kilonewton --> 5304912 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Lcr_ratio = sqrt((A*pi^2*E)/P_cr) --> sqrt((0.0688*pi^2*200000000000)/5304912)

Evaluating ... ...

Lcr_ratio = 160.000005513163

STEP 3: Convert Result to Output's Unit

160.000005513163 --> No Conversion Required

FINAL ANSWER

160.000005513163 ≈ 160 <-- Column Slenderness Ratio

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Offshore Hydromechanics » Hydrostatics » Static Loads » Drill String Buckling » Column Slenderness Ratio for Critical Buckling Load

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 7 Drill String Buckling Calculators

Column Slenderness Ratio for Critical Buckling Load

Go Column Slenderness Ratio = sqrt((Cross Section Area of Column*pi^2*Elastic Modulus)/Critical Buckling Load for Drill String)

Critical Buckling Load

Go Critical Buckling Load for Drill String = Cross Section Area of Column*((pi^2*Elastic Modulus)/(Column Slenderness Ratio^2))

Cross Section Area of Column for Critical Buckling Load

Go Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus)

Kinematic Viscosity of Fluid given Reynolds Number in Shorter Length of Pipe

Go Kinematic Viscosity = (Flow Velocity*Diameter of Pipe)/Reynolds Number

Flow Velocity given Reynolds Number in Shorter Length of Pipe

Go Flow Velocity = (Reynolds Number*Kinematic Viscosity)/Diameter of Pipe

Pipe Diameter given Reynolds Number in Shorter Length of Pipe

Go Diameter of Pipe = (Reynolds Number*Kinematic Viscosity)/Flow Velocity

Reynolds Number in Shorter Length of Pipe

Go Reynolds Number = (Flow Velocity*Diameter of Pipe)/Kinematic Viscosity

Column Slenderness Ratio for Critical Buckling Load Formula

Column Slenderness Ratio = sqrt((Cross Section Area of Column*pi^2*Elastic Modulus)/Critical Buckling Load for Drill String)
Lcr_ratio = sqrt((A*pi^2*E)/P_cr)

What is slenderness ratio?

The slenderness ratio is defined as the ratio of length l to the radius of gyration k, represented as l/k. When the slenderness ratio exceeds a value of 100 for a strong slim column, failure by buckling can be expected. Columns of stiffer and more brittle materials will buckle at lower slenderness ratios.

How to Calculate Column Slenderness Ratio for Critical Buckling Load?

Column Slenderness Ratio for Critical Buckling Load calculator uses Column Slenderness Ratio = sqrt((Cross Section Area of Column*pi^2*Elastic Modulus)/Critical Buckling Load for Drill String) to calculate the Column Slenderness Ratio, The Column Slenderness Ratio for Critical Buckling Load is defined as the ratio of length l to the radius of gyration. Column Slenderness Ratio is denoted by Lcr_ratio symbol.

How to calculate Column Slenderness Ratio for Critical Buckling Load using this online calculator? To use this online calculator for Column Slenderness Ratio for Critical Buckling Load, enter Cross Section Area of Column (A), Elastic Modulus (E) & Critical Buckling Load for Drill String (P_cr) and hit the calculate button. Here is how the Column Slenderness Ratio for Critical Buckling Load calculation can be explained with given input values -> 160 = sqrt((0.0688*pi^2*200000000000)/5304912).

FAQ

What is Column Slenderness Ratio for Critical Buckling Load?

The Column Slenderness Ratio for Critical Buckling Load is defined as the ratio of length l to the radius of gyration and is represented as Lcr_ratio = sqrt((A*pi^2*E)/P_cr) or Column Slenderness Ratio = sqrt((Cross Section Area of Column*pi^2*Elastic Modulus)/Critical Buckling Load for Drill String). Cross Section Area of Column is the shape we get when cutting straight through the column, Elastic modulus is the ratio of stress to its strain & Critical Buckling Load for Drill String is defined as the greatest load that will not cause lateral deflection.

How to calculate Column Slenderness Ratio for Critical Buckling Load?

The Column Slenderness Ratio for Critical Buckling Load is defined as the ratio of length l to the radius of gyration is calculated using Column Slenderness Ratio = sqrt((Cross Section Area of Column*pi^2*Elastic Modulus)/Critical Buckling Load for Drill String). To calculate Column Slenderness Ratio for Critical Buckling Load, you need Cross Section Area of Column (A), Elastic Modulus (E) & Critical Buckling Load for Drill String (P_cr). With our tool, you need to enter the respective value for Cross Section Area of Column, Elastic Modulus & Critical Buckling Load for Drill String 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