Cross Section Area of Column for Critical Buckling Load Calculator

✖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 [Lcr_ratio]			+10% -10%
✖Elastic Modulus is the fundamental property of materials that measures their stiffness or resistance to elastic deformation under stress.ⓘ Elastic Modulus [E]			+10% -10%

✖Cross Section Area of Column is the shape we get when cutting straight through the column.ⓘ Cross Section Area of Column for Critical Buckling Load [A]

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Cross Section Area of Column for Critical Buckling Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Column Slenderness Ratio - Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration.
Elastic Modulus - (Measured in Pascal) - Elastic Modulus is the fundamental property of materials that measures their stiffness or resistance to elastic deformation under stress.

STEP 1: Convert Input(s) to Base Unit

Critical Buckling Load for Drill String: 5304.912 Kilonewton --> 5304912 Newton (Check conversion here)
Column Slenderness Ratio: 160 --> No Conversion Required
Elastic Modulus: 200000000000 Newton per Square Meter --> 200000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P_cr*Lcr_ratio^2)/(pi^2*E) --> (5304912*160^2)/(pi^2*200000000000)

Evaluating ... ...

A = 0.0687999952586805

STEP 3: Convert Result to Output's Unit

0.0687999952586805 Square Meter --> No Conversion Required

FINAL ANSWER

0.0687999952586805 ≈ 0.0688 Square Meter <-- Cross Section Area of Column

(Calculation completed in 00.005 seconds)

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< Drill String Buckling Calculators

Column Slenderness Ratio for Critical Buckling Load

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

Critical Buckling Load

LaTeX 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

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

Reynolds Number in Shorter Length of Pipe

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

Cross Section Area of Column for Critical Buckling Load Formula

LaTeX Go

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

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 Cross Section Area of Column for Critical Buckling Load?

Cross Section Area of Column for Critical Buckling Load calculator uses Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus) to calculate the Cross Section Area of Column, The Cross Section Area of Column for Critical Buckling Load formula is defined the actual axial force in the lower meters of the drill string is compressive. Cross Section Area of Column is denoted by A symbol.

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

FAQ

What is Cross Section Area of Column for Critical Buckling Load?

The Cross Section Area of Column for Critical Buckling Load formula is defined the actual axial force in the lower meters of the drill string is compressive and is represented as A = (P_cr*Lcr_ratio^2)/(pi^2*E) or Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus). Critical Buckling Load for Drill String is defined as the greatest load that will not cause lateral deflection, Column Slenderness Ratio is defined as the ratio of length l to the radius of gyration & Elastic Modulus is the fundamental property of materials that measures their stiffness or resistance to elastic deformation under stress.

How to calculate Cross Section Area of Column for Critical Buckling Load?

The Cross Section Area of Column for Critical Buckling Load formula is defined the actual axial force in the lower meters of the drill string is compressive is calculated using Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus). To calculate Cross Section Area of Column for Critical Buckling Load, you need Critical Buckling Load for Drill String (P_cr), Column Slenderness Ratio (Lcr_ratio) & Elastic Modulus (E). With our tool, you need to enter the respective value for Critical Buckling Load for Drill String, Column Slenderness Ratio & Elastic Modulus 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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