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%
✖Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration.ⓘ Column Slenderness Ratio [Lcr_ratio]			+10% -10%

✖Critical Buckling Load for Drill String is defined as the greatest load that will not cause lateral deflection.ⓘ Critical Buckling Load [P_cr]

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Formula

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Critical Buckling Load

Formula

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

Example

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

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Critical Buckling Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Column Slenderness Ratio - Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration.

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)
Column Slenderness Ratio: 160 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_cr = A*((pi^2*E)/(Lcr_ratio^2)) --> 0.0688*((pi^2*200000000000)/(160^2))

Evaluating ... ...

P_cr = 5304912.36558553

STEP 3: Convert Result to Output's Unit

5304912.36558553 Newton -->5304.91236558553 Kilonewton (Check conversion here)

FINAL ANSWER

5304.91236558553 ≈ 5304.912 Kilonewton <-- Critical Buckling Load for Drill String

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 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

Critical Buckling Load Formula

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

What is the meaning of buckling load?

The maximum load that can be imposed on a string of drill rods, casing, or pipe, or on a drill tripod, derrick, or mast without the string buckling; also, a part being bent or buckled.
Critical Load is the quantitative estimate of the level of exposure of natural systems to pollutants below which significant harmful effects on specified sensitive elements of the environment do not occur.

How to Calculate Critical Buckling Load?

Critical Buckling Load calculator uses Critical Buckling Load for Drill String = Cross Section Area of Column*((pi^2*Elastic Modulus)/(Column Slenderness Ratio^2)) to calculate the Critical Buckling Load for Drill String, The Critical Buckling Load is the greatest load that will not cause lateral deflection (buckling). For loads greater than the critical load, the column will deflect laterally. Critical Buckling Load for Drill String is denoted by P_cr symbol.

How to calculate Critical Buckling Load using this online calculator? To use this online calculator for Critical Buckling Load, enter Cross Section Area of Column (A), Elastic Modulus (E) & Column Slenderness Ratio (Lcr_ratio) and hit the calculate button. Here is how the Critical Buckling Load calculation can be explained with given input values -> 5.304912 = 0.0688*((pi^2*200000000000)/(160^2)).

FAQ

What is Critical Buckling Load?

The Critical Buckling Load is the greatest load that will not cause lateral deflection (buckling). For loads greater than the critical load, the column will deflect laterally and is represented as P_cr = A*((pi^2*E)/(Lcr_ratio^2)) or Critical Buckling Load for Drill String = Cross Section Area of Column*((pi^2*Elastic Modulus)/(Column Slenderness Ratio^2)). 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 & Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration.

How to calculate Critical Buckling Load?

The Critical Buckling Load is the greatest load that will not cause lateral deflection (buckling). For loads greater than the critical load, the column will deflect laterally is calculated using Critical Buckling Load for Drill String = Cross Section Area of Column*((pi^2*Elastic Modulus)/(Column Slenderness Ratio^2)). To calculate Critical Buckling Load, you need Cross Section Area of Column (A), Elastic Modulus (E) & Column Slenderness Ratio (Lcr_ratio). With our tool, you need to enter the respective value for Cross Section Area of Column, Elastic Modulus & Column Slenderness Ratio 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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