Transition from Long to Short Column Range Calculator

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✖The end fixity coefficient is defined as the ratio of the moment at one end to the moment at the same end when both the ends are ideally fixed.ⓘ End Fixity Coefficient [c]			+10% -10%
✖Aluminum Alloy Constant k is a material constant which is used in calculations for stress–strain behavior.ⓘ Aluminum Alloy Constant k [k]			+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%
✖Yield stress is how much force needs to be applied to an object to cause it to change from elastic deformation to plastic deformation.ⓘ Yield stress [F_ce]			+10% -10%

✖The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Transition from Long to Short Column Range [λ ]

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Transition from Long to Short Column Range

Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

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

Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Calculator and 500+ 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

Theoretical Maximum Stress for Secant Code Steels

Critical stress=Yield Strength/(1+((Eccentricity*End Fixity Coefficient/(Radius of gyration^2))*(sec((1/Radius of gyration)*sqrt(Concentrated load/(4*Cross sectional area*Modulus Of Elasticity)))))) 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

Thermal stress of a material

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

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

Cross sectional area=Critical Buckling Load*(Slenderness Ratio^2)/((pi^2)*Young's Modulus) GO

Theoretical Maximum Stress for ANC Code Alloy Steel Tubing

Critical stress=135000-(15.9/End Fixity Coefficient)*((Length/Radius of gyration)^2) GO

Theoretical Maximum Stress for ANC Code 2017ST Aluminium

Critical stress=34500-(245/sqrt(End Fixity Coefficient))*(Length/Radius of gyration) GO

Theoretical Maximum Stress for ANC Code Spruce

Critical stress=5000-(0.5/End Fixity Coefficient)*((Length/Radius of gyration)^2) 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

< 6 Other formulas that calculate the same Output

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

Slenderness Ratio that Demarcates Between Inelastic from Elastic Buckling

Slenderness Ratio=sqrt(2*(pi^2)*elastic modulus of steel*minimum specified yield stress of steel) GO

Critical Slenderness Ratio for Aluminium Columns

Slenderness Ratio=sqrt(51000000/(Allowable Load/Cross sectional area)) GO

Critical Slenderness Ratio for Cast Iron Columns

Slenderness Ratio=(12000-(Allowable Load/Cross sectional area))/60 GO

Slenderness Ratio

Slenderness Ratio=Effective Length/Least Radius of Gyration GO

Slenderness ratio with cone radius for hypersonic vehicle

Slenderness Ratio=Radius of cone/Height of Cone GO

Transition from Long to Short Column Range Formula

Slenderness Ratio=pi*(sqrt(End Fixity Coefficient*Aluminum Alloy Constant k*Young's Modulus/Yield stress))
λ =pi*(sqrt(c*k*E/F<sub>ce</sub>))

More formulas

Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given GO

Length of Column when Allowable Compressive Stress for Aluminium Columns is Given GO

Allowable Compressive Stress for Aluminium Columns GO

Allowable Compressive Stress for Aluminium Columns when Column Yield Stress is Given GO

What is the difference between short column and long column?

The column, whose lateral dimension is very small when compared to its length (or height), is called as long column. The column, whose lateral dimension is very large when compared to its length (or height), is called a short column.

How to Calculate Transition from Long to Short Column Range?

Transition from Long to Short Column Range calculator uses Slenderness Ratio=pi*(sqrt(End Fixity Coefficient*Aluminum Alloy Constant k*Young's Modulus/Yield stress)) to calculate the Slenderness Ratio, The Transition from Long to Short Column Range formula is defined as the relation gives the transition between long and short column, where Euler equation is used for long aluminum columns, and depending on the material, either Johnson’s parabolic or straight-line equation is used for short columns. Slenderness Ratio and is denoted by λ symbol.

How to calculate Transition from Long to Short Column Range using this online calculator? To use this online calculator for Transition from Long to Short Column Range, enter End Fixity Coefficient (c), Aluminum Alloy Constant k (k), Young's Modulus (E) and Yield stress (F_ce) and hit the calculate button. Here is how the Transition from Long to Short Column Range calculation can be explained with given input values -> 444288.3 = pi*(sqrt(1*3*100000000000/15)).

FAQ

What is Transition from Long to Short Column Range?

The Transition from Long to Short Column Range formula is defined as the relation gives the transition between long and short column, where Euler equation is used for long aluminum columns, and depending on the material, either Johnson’s parabolic or straight-line equation is used for short columns and is represented as λ =pi*(sqrt(c*k*E/F_ce)) or Slenderness Ratio=pi*(sqrt(End Fixity Coefficient*Aluminum Alloy Constant k*Young's Modulus/Yield stress)). The end fixity coefficient is defined as the ratio of the moment at one end to the moment at the same end when both the ends are ideally fixed, Aluminum Alloy Constant k is a material constant which is used in calculations for stress–strain behavior, 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) and Yield stress is how much force needs to be applied to an object to cause it to change from elastic deformation to plastic deformation.

How to calculate Transition from Long to Short Column Range?

The Transition from Long to Short Column Range formula is defined as the relation gives the transition between long and short column, where Euler equation is used for long aluminum columns, and depending on the material, either Johnson’s parabolic or straight-line equation is used for short columns is calculated using Slenderness Ratio=pi*(sqrt(End Fixity Coefficient*Aluminum Alloy Constant k*Young's Modulus/Yield stress)). To calculate Transition from Long to Short Column Range, you need End Fixity Coefficient (c), Aluminum Alloy Constant k (k), Young's Modulus (E) and Yield stress (F_ce). With our tool, you need to enter the respective value for End Fixity Coefficient, Aluminum Alloy Constant k, Young's Modulus and Yield stress 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 Slenderness Ratio?

In this formula, Slenderness Ratio uses End Fixity Coefficient, Aluminum Alloy Constant k, Young's Modulus and Yield stress. We can use 6 other way(s) to calculate the same, which is/are as follows -

Slenderness Ratio=Effective Length/Least Radius of Gyration
Slenderness Ratio=(12000-(Allowable Load/Cross sectional area))/60
Slenderness Ratio=sqrt(51000000/(Allowable Load/Cross sectional area))
Slenderness Ratio=sqrt(((pi^2)*Modulus of Elasticity of Column*Column Cross-Sectional Area)/(Critical Buckling Load))
Slenderness Ratio=sqrt(2*(pi^2)*elastic modulus of steel*minimum specified yield stress of steel)
Slenderness Ratio=Radius of cone/Height of Cone

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