Elastic Critical Buckling Load Calculator

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✖Young's Modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object).ⓘ Young's Modulus [E]			+10% -10%
✖Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point.ⓘ Cross sectional area [A]			+10% -10%
✖Coefficient for Column End Conditions is defined as the multiplicative factor for different column end conditions.ⓘ Coefficient for Column End Conditions [n]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%
✖Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, if the total mass of the body were concentrated there.ⓘ Radius of gyration [k_G]			+10% -10%

✖Critical Buckling Load is defined as the greatest load that will not cause lateral deflection.ⓘ Elastic Critical Buckling Load [P_c]

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Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

Rudrani Tidke has created this Calculator and 100+ more calculators!

Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Surface Area of a Rectangular Prism

Surface Area=2*(Length*Width+Length*Height+Width*Height) GO

Perimeter of a rectangle when diagonal and length are given

Perimeter=2*(Length+sqrt((Diagonal)^2-(Length)^2)) GO

Magnetic Flux

Magnetic Flux=Magnetic Field*Length*Breadth*cos(θ) GO

Diagonal of a Rectangle when length and area are given

Diagonal=sqrt(((Area)^2/(Length)^2)+(Length)^2) GO

Area of a Rectangle when length and diagonal are given

Area=Length*(sqrt((Diagonal)^2-(Length)^2)) GO

Diagonal of a Rectangle when length and breadth are given

Diagonal=sqrt(Length^2+Breadth^2) GO

Strain

Strain=Change In Length/Length GO

Surface Tension

Surface Tension=Force/Length GO

Perimeter of a rectangle when length and width are given

Perimeter=2*Length+2*Width GO

Volume of a Rectangular Prism

Volume=Width*Height*Length GO

Area of a Rectangle when length and breadth are given

Area=Length*Breadth GO

< 3 Other formulas that calculate the same Output

Euler's Formula for Critical Buckling Load when Area is Given

Critical Buckling Load=(Coefficient for Column End Conditions*(pi^2)*Modulus Of Elasticity*Cross sectional area)/((Length/Radius of gyration)^2) GO

Critical Buckling Load for Pin Ended Columns

Critical Buckling Load=((pi^2)*Modulus of Elasticity of Column*Column Cross-Sectional Area)/((Length/Radius of Gyration of the Column)^2) GO

Euler's Formula for Critical Buckling Load

Critical Buckling Load=Coefficient for Column End Conditions*(pi^2)*Modulus Of Elasticity*Moment of Inertia/(Length^2) GO

Elastic Critical Buckling Load Formula

Critical Buckling Load=(pi^2)*Young's Modulus*Cross sectional area/((Coefficient for Column End Conditions*Length/Radius of gyration)^2)
P<sub>c=(pi^2)*E*A/((n*l/k<sub>G</sub>)^2)

More formulas

Critical Buckling Load for Pin Ended Columns GO

Slenderness Ratio of when Critical Buckling Load for Pin Ended Columns is Given GO

Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given GO

Cross-Sectional Area when Elastic Critical Buckling Load is Given GO

Radius of Gyration of Column when Elastic Critical Buckling Load is Given GO

Torsional Buckling Load for Pin Ended Columns GO

Cross-Sectional Area when Torsional Buckling Load for Pin Ended Columns is Given GO

Polar Moment of Inertia for Pin Ended Columns GO

Axial Buckling Load for a Warped Section GO

Cross-Sectional Area when Axial Buckling Load for a Warped Section is Given GO

Polar Moment of Inertia when Axial Buckling Load for a Warped Section is Given GO

Column End Conditions for effective length of column

In this formula, the coefficient n accounts for end conditions. When the column is pivoted at both ends, n = 1; when one end is fixed and the other end is rounded, n = 0.7; when both ends are fixed, n = 0.5; and when one end is fixed and the other is free, n = 2.

What is the meaning of buckling load?

In structural engineering, buckling is the sudden change in shape (deformation) of a structural component under load, such as the bowing of a column under compression or the wrinkling of a plate under shear.

How to Calculate Elastic Critical Buckling Load?

Elastic Critical Buckling Load calculator uses Critical Buckling Load=(pi^2)*Young's Modulus*Cross sectional area/((Coefficient for Column End Conditions*Length/Radius of gyration)^2) to calculate the Critical Buckling Load, The Elastic Critical Buckling Load formula is defined as the greatest load applied on Pin Ended Columns that cause lateral deflection i.e. fail due buckling. Critical Buckling Load and is denoted by P_c symbol.

How to calculate Elastic Critical Buckling Load using this online calculator? To use this online calculator for Elastic Critical Buckling Load, enter Young's Modulus (E), Cross sectional area (A), Coefficient for Column End Conditions (n), Length (l) and Radius of gyration (k_G) and hit the calculate button. Here is how the Elastic Critical Buckling Load calculation can be explained with given input values -> 9.870E+12 = (pi^2)*100000000000*10/((1*3/3)^2).

FAQ

What is Elastic Critical Buckling Load?

The Elastic Critical Buckling Load formula is defined as the greatest load applied on Pin Ended Columns that cause lateral deflection i.e. fail due buckling and is represented as P_{c=(pi^2)*E*A/((n*l/k_G)^2)} or Critical Buckling Load=(pi^2)*Young's Modulus*Cross sectional area/((Coefficient for Column End Conditions*Length/Radius of gyration)^2). Young's Modulus which can also be called elastic modulus is a mechanical property of linear elastic solid substances. It describes the relationship between stress (force per unit area) and strain (proportional deformation in an object), Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point, Coefficient for Column End Conditions is defined as the multiplicative factor for different column end conditions, Length is the measurement or extent of something from end to end and Radius of gyration or gyradius of a body about an axis of rotation is defined as the radial distance to a point which would have a moment of inertia the same as the body's actual distribution of mass, if the total mass of the body were concentrated there.

How to calculate Elastic Critical Buckling Load?

The Elastic Critical Buckling Load formula is defined as the greatest load applied on Pin Ended Columns that cause lateral deflection i.e. fail due buckling is calculated using Critical Buckling Load=(pi^2)*Young's Modulus*Cross sectional area/((Coefficient for Column End Conditions*Length/Radius of gyration)^2). To calculate Elastic Critical Buckling Load, you need Young's Modulus (E), Cross sectional area (A), Coefficient for Column End Conditions (n), Length (l) and Radius of gyration (k_G). With our tool, you need to enter the respective value for Young's Modulus, Cross sectional area, Coefficient for Column End Conditions, Length and Radius of gyration and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Critical Buckling Load?

In this formula, Critical Buckling Load uses Young's Modulus, Cross sectional area, Coefficient for Column End Conditions, Length and Radius of gyration. We can use 3 other way(s) to calculate the same, which is/are as follows -

Critical Buckling Load=Coefficient for Column End Conditions*(pi^2)*Modulus Of Elasticity*Moment of Inertia/(Length^2)
Critical Buckling Load=(Coefficient for Column End Conditions*(pi^2)*Modulus Of Elasticity*Cross sectional area)/((Length/Radius of gyration)^2)
Critical Buckling Load=((pi^2)*Modulus of Elasticity of Column*Column Cross-Sectional Area)/((Length/Radius of Gyration of the Column)^2)

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