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

Category	Engineering ↺
Engineering	Civil ↺
Civil	Columns ↺
Columns	Elastic Flexural Buckling of Columns ↺

✖Critical Buckling Load is defined as the greatest load that will not cause lateral deflection.ⓘ Critical Buckling Load [P_c]			+10% -10%
✖The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Slenderness Ratio [λ ]			+10% -10%
✖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 when Critical Buckling Load for Pin Ended Columns is Given [A]

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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

Velocity ratio of belt in terms of creep of belt

Velocity ratio=(Diameter of the driver*(Young's Modulus+sqrt(Stress in the belt on the slack side of belt)))/(Diameter of the follower*(Young's Modulus+sqrt(Stress in the belt on the tight side of belt))) GO

Axial Buckling Load for a Warped Section

Axial buckling Load=(Cross sectional area/Polar moment of Inertia)*(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2))) GO

Cross-Sectional Area when Elastic Critical Buckling Load is Given

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

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

Radius of gyration=(Coefficient for Column End Conditions*Length)/(pi*Young's Modulus)*(sqrt(Critical Buckling Load/Cross sectional area)) GO

Elastic Critical Buckling Load

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

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

Slenderness Ratio=sqrt(((pi^2)*Modulus of Elasticity of Column*Column Cross-Sectional Area)/(Critical Buckling Load)) GO

Eccentricity when Deflection in Eccentric Loading is Given

Eccentricity of Loading=(pi*(1-Axial Load/Critical Buckling Load))*Deflection/(4*Axial Load/Critical Buckling Load) GO

Thermal stress of a material

Thermal stress=(Young's Modulus*Coefficient of Linear Thermal expansion*Temperature Difference)/(Initial length) GO

Critical stress for crack propagation

Critical stress=sqrt(2*Young's Modulus*Specific surface energy/(pi*Crack Length)) GO

Modulus of resilience

Modulus of resilience=Yield Strength^2/(2*Young's Modulus) GO

Strain Energy if applied tension load is given

Strain Energy=Force^2*Length/(2*Area*Young's Modulus) GO

< 11 Other formulas that calculate the same Output

Cross-Sectional Area When Stress is Applied at Point y in a Curved Beam

Cross sectional area=(Bending Moment /(Stress*Radius of Centroidal Axis))*(1+(Distance of Point from Centroidal Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis)))) GO

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

Cross sectional area=(Axial buckling Load*Polar moment of Inertia)/(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2))) GO

Cross-Sectional Area when Total Unit Stress in Eccentric Loading is Given

Cross sectional area=Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance_from Load Applied/Moment of Inertia about Neutral Axis))) GO

Cross-sectional area of the rod if stress induced in rod due to impact load is known

Cross sectional area=(2*Modulus Of Elasticity*Load Dropped(Impact Load)*Height through which load is dropped)/(Length of Rod*(Stress induced^2)) GO

Cross-Sectional Area when Elastic Critical Buckling Load is Given

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

Cross-Sectional Area when Maximum Stress For Short Beams is Given

Cross sectional area=Axial Load/(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)) GO

Tape Cross-Sectional Area when Temperature Corrections for Nonstandard Tension is Given

Cross sectional area=((Pull on Tape-Total Tension)*Unsupported length)/(Temperature correction*Modulus of elasticity) GO

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

Cross sectional area=Torsional buckling load*Polar moment of Inertia/(Shear Modulus of Elasticity*Torsion constant) GO

Cross-sectional Area of Soil Conveying Flow when Rate of Flow of Water is Given

Cross sectional area=(Rate of flow/(Coefficient of permeability*Hydraulic gradient)) GO

Total Cross-Sectional Area of Tensile Reinforcing

Cross sectional area=8*Bending moment/(7*Reinforcement Stress*Depth of the Beam) GO

Area when water flow equation is given

Cross sectional area=water flow/flow velocity GO

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

Cross sectional area=Critical Buckling Load*(Slenderness Ratio^2)/((pi^2)*Young's Modulus)
A=P<sub>c*(λ ^2)/((pi^2)*E)

More formulas

Critical Buckling Load for Pin Ended Columns GO

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

Elastic Critical Buckling Load 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

What does buckling mean?

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

Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given calculator uses Cross sectional area=Critical Buckling Load*(Slenderness Ratio^2)/((pi^2)*Young's Modulus) to calculate the Cross sectional area, The Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given formula is defined as the area of a two-dimensional shape obtained when a Pin Ended Column is sliced perpendicular to its length axis at a point. Cross sectional area and is denoted by A symbol.

How to calculate Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given using this online calculator? To use this online calculator for Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given, enter Critical Buckling Load (P_c), Slenderness Ratio (λ ) and Young's Modulus (E) and hit the calculate button. Here is how the Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given calculation can be explained with given input values -> 1.267E-7 = 50*(50^2)/((pi^2)*100000000000).

FAQ

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

The Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given formula is defined as the area of a two-dimensional shape obtained when a Pin Ended Column is sliced perpendicular to its length axis at a point and is represented as A=P_{c*(λ ^2)/((pi^2)*E)} or Cross sectional area=Critical Buckling Load*(Slenderness Ratio^2)/((pi^2)*Young's Modulus). Critical Buckling Load is defined as the greatest load that will not cause lateral deflection, The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section and 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).

How to calculate Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given?

The Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given formula is defined as the area of a two-dimensional shape obtained when a Pin Ended Column is sliced perpendicular to its length axis at a point is calculated using Cross sectional area=Critical Buckling Load*(Slenderness Ratio^2)/((pi^2)*Young's Modulus). To calculate Cross-Sectional Area when Critical Buckling Load for Pin Ended Columns is Given, you need Critical Buckling Load (P_c), Slenderness Ratio (λ ) and Young's Modulus (E). With our tool, you need to enter the respective value for Critical Buckling Load, Slenderness Ratio and Young's Modulus 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 Cross sectional area?

In this formula, Cross sectional area uses Critical Buckling Load, Slenderness Ratio and Young's Modulus. We can use 11 other way(s) to calculate the same, which is/are as follows -

Cross sectional area=(Bending Moment /(Stress*Radius of Centroidal Axis))*(1+(Distance of Point from Centroidal Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))
Cross sectional area=Axial Load/(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia))
Cross sectional area=Axial Load/(Total Unit Stress-((Axial Load*Outermost Fiber Distance*Distance_from Load Applied/Moment of Inertia about Neutral Axis)))
Cross sectional area=(Critical Buckling Load*((Coefficient for Column End Conditions*Length/Radius of gyration)^2))/((pi^2)*Young's Modulus)
Cross sectional area=Torsional buckling load*Polar moment of Inertia/(Shear Modulus of Elasticity*Torsion constant)
Cross sectional area=(Axial buckling Load*Polar moment of Inertia)/(Shear Modulus of Elasticity*Torsion constant+((pi^2)*Young's Modulus*Warping Constant/(Length^2)))
Cross sectional area=8*Bending moment/(7*Reinforcement Stress*Depth of the Beam)
Cross sectional area=((Pull on Tape-Total Tension)*Unsupported length)/(Temperature correction*Modulus of elasticity)
Cross sectional area=(2*Modulus Of Elasticity*Load Dropped(Impact Load)*Height through which load is dropped)/(Length of Rod*(Stress induced^2))
Cross sectional area=water flow/flow velocity
Cross sectional area=(Rate of flow/(Coefficient of permeability*Hydraulic gradient))

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