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Cross Section Area of Column for Critical Buckling Load Formula

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Cross Section Area of Column is the shape we get when cutting straight through the column. Check FAQs

A = \frac{P cr \cdot {Lcr ratio}^{2}}{π^{2} \cdot E}

A - Cross Section Area of Column?P_cr - Critical Buckling Load for Drill String?Lcr_ratio - Column Slenderness Ratio?E - Elastic Modulus?π - Archimedes' constant?

Cross Section Area of Column for Critical Buckling Load Example

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Here is how the Cross Section Area of Column for Critical Buckling Load equation looks like with Values.

Here is how the Cross Section Area of Column for Critical Buckling Load equation looks like with Units.

Here is how the Cross Section Area of Column for Critical Buckling Load equation looks like.

0.0688 = \frac{5304.912 \cdot 160^{2}}{{3.1416}^{2} \cdot 2E+11}

0.0688m² = \frac{5304.912kN \cdot 160^{2}}{{3.1416}^{2} \cdot 2E+11N/m²}

0.0688 = \frac{5304.912 \cdot 160^{2}}{{3.1416}^{2} \cdot 2E+11}

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Cross Section Area of Column for Critical Buckling Load Solution

Follow our step by step solution on how to calculate Cross Section Area of Column for Critical Buckling Load?

FIRST Step Consider the formula

A = \frac{P cr \cdot {Lcr ratio}^{2}}{π^{2} \cdot E}

Next Step Substitute values of Variables

∴

A = \frac{5304.912kN \cdot 160^{2}}{π^{2} \cdot 2E+11N/m²}

Next Step Substitute values of Constants

∴

A = \frac{5304.912kN \cdot 160^{2}}{{3.1416}^{2} \cdot 2E+11N/m²}

Next Step Convert Units

∴

A = \frac{5.3E+6N \cdot 160^{2}}{{3.1416}^{2} \cdot 2E+11Pa}

Next Step Prepare to Evaluate

∴

A = \frac{5.3E+6 \cdot 160^{2}}{{3.1416}^{2} \cdot 2E+11}

Next Step Evaluate

∴

A = 0.0687999952586805m²

LAST Step Rounding Answer

∴

A = 0.0688m²

Cross Section Area of Column for Critical Buckling Load Formula Elements

Variables

Constants

Cross Section Area of Column

Cross Section Area of Column is the shape we get when cutting straight through the column.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Section Area of Column

Critical Buckling Load for Drill String

Critical Buckling Load for Drill String is defined as the greatest load that will not cause lateral deflection.

Symbol: P_cr

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Critical Buckling Load for Drill String

Column Slenderness Ratio

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

Symbol: Lcr_ratio

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Column Slenderness Ratio

Elastic Modulus

Elastic Modulus is the fundamental property of materials that measures their stiffness or resistance to elastic deformation under stress.

Symbol: E

Measurement: StressUnit: N/m²

Note: Value can be positive or negative.

Formulas to find Elastic Modulus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Drill String Buckling category

Go Critical Buckling Load

P cr = A \cdot (\frac{π^{2} \cdot E}{{Lcr ratio}^{2}})

Go Column Slenderness Ratio for Critical Buckling Load

Lcr ratio = \sqrt{\frac{A \cdot π^{2} \cdot E}{P cr}}

Go Reynolds Number in Shorter Length of Pipe

Re = \frac{V flow \cdot D p}{v}

Go Flow Velocity given Reynolds Number in Shorter Length of Pipe

V flow = \frac{Re \cdot v}{D p}

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

Cross Section Area of Column for Critical Buckling Load evaluator uses Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus) to evaluate 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 evaluate Cross Section Area of Column for Critical Buckling Load using this online evaluator? To use this online evaluator 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.

FAQs on Cross Section Area of Column for Critical Buckling Load

What is the formula to find Cross Section Area of Column for Critical Buckling Load?

The formula of Cross Section Area of Column for Critical Buckling Load is expressed as Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus). Here is an example- 0.0688 = (5304912*160^2)/(pi^2*200000000000).

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

With Critical Buckling Load for Drill String (P_cr), Column Slenderness Ratio (Lcr_ratio) & Elastic Modulus (E) we can find Cross Section Area of Column for Critical Buckling Load using the formula - Cross Section Area of Column = (Critical Buckling Load for Drill String*Column Slenderness Ratio^2)/(pi^2*Elastic Modulus). This formula also uses Archimedes' constant .

Can the Cross Section Area of Column for Critical Buckling Load be negative?

Yes, the Cross Section Area of Column for Critical Buckling Load, measured in Area can be negative.

Which unit is used to measure Cross Section Area of Column for Critical Buckling Load?

Cross Section Area of Column for Critical Buckling Load is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Cross Section Area of Column for Critical Buckling Load can be measured.

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Cross Section Area of Column for Critical Buckling Load Formula

Cross Section Area of Column for Critical Buckling Load Example

Cross Section Area of Column for Critical Buckling Load Solution

Cross Section Area of Column for Critical Buckling Load Formula Elements

Other formulas in Drill String Buckling category

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

FAQs on Cross Section Area of Column for Critical Buckling Load

Variable Name