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 Pc 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 (kG) 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 Pc=(pi^2)*E*A/((n*l/kG)^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 (kG). 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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