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

Category	Engineering ↺
Engineering	Civil ↺
Civil	Columns ↺
Columns	Allowable Design Loads for Aluminium Columns ↺

✖Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces.ⓘ Compressive Stress [σ_c]			+10% -10%
✖Length is the measurement or extent of something from end to end.ⓘ Length [l]			+10% -10%
✖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%
✖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%

✖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 of Column when Allowable Compressive Stress for Aluminium Columns is Given [k_G]

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Rudrani Tidke

Cummins College of Engineering for Women (CCEW), Pune

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Kethavath Srinath

Osmania University (OU), Hyderabad

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< 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

< 4 Other formulas that calculate the same Output

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

Radius of Gyration When Time Period of Rolling is Given

Radius of gyration=sqrt((Acceleration Due To Gravity*Metacentric height)*((Time period of rolling/2*pi)^2)) GO

Radius of gyration for metacentric height and time period of oscillation

Radius of gyration=((Time period of oscillations^2)*metacentric height m*9.81)/(4*(pi^2)) GO

Radius of gyration if moment of inertia and area is known

Radius of gyration=sqrt(Area Moment Of Inertia/Area of cross section) GO

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

Radius of gyration=sqrt(Compressive Stress*(Length^2)/(End Fixity Coefficient*(pi^2)*Young's Modulus))
k<sub>G</sub>=sqrt(σ<sub>c*(l^2)/(c*(pi^2)*E))

More formulas

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

Transition from Long to Short Column Range GO

End Fixity Coefficient

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. c=2, both ends pivoted; c=2.86, one pivoted, other fixed; c=1.25 to 1.50,Restraining bulkhead partially fixed; c=4, both ends fixed; c=1 one fixed, one free.

How to Calculate Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given?

Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given calculator uses Radius of gyration=sqrt(Compressive Stress*(Length^2)/(End Fixity Coefficient*(pi^2)*Young's Modulus)) to calculate the Radius of gyration, The Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given formula is defined as the length is used to describe the distribution of cross sectional area in a column around its centroidal axis. Radius of gyration and is denoted by k_G symbol.

How to calculate Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given using this online calculator? To use this online calculator for Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given, enter Compressive Stress (σ_c), Length (l), End Fixity Coefficient (c) and Young's Modulus (E) and hit the calculate button. Here is how the Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given calculation can be explained with given input values -> 2.135E-5 = sqrt(50*(3^2)/(1*(pi^2)*100000000000)).

FAQ

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

The Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given formula is defined as the length is used to describe the distribution of cross sectional area in a column around its centroidal axis and is represented as k_G=sqrt(σ_{c*(l^2)/(c*(pi^2)*E))} or Radius of gyration=sqrt(Compressive Stress*(Length^2)/(End Fixity Coefficient*(pi^2)*Young's Modulus)). Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces, Length is the measurement or extent of something from end to end, 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 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 Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given?

The Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given formula is defined as the length is used to describe the distribution of cross sectional area in a column around its centroidal axis is calculated using Radius of gyration=sqrt(Compressive Stress*(Length^2)/(End Fixity Coefficient*(pi^2)*Young's Modulus)). To calculate Radius of Gyration of Column when Allowable Compressive Stress for Aluminium Columns is Given, you need Compressive Stress (σ_c), Length (l), End Fixity Coefficient (c) and Young's Modulus (E). With our tool, you need to enter the respective value for Compressive Stress, Length, End Fixity Coefficient 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 Radius of gyration?

In this formula, Radius of gyration uses Compressive Stress, Length, End Fixity Coefficient and Young's Modulus. We can use 4 other way(s) to calculate the same, which is/are as follows -

Radius of gyration=(Coefficient for Column End Conditions*Length)/(pi*Young's Modulus)*(sqrt(Critical Buckling Load/Cross sectional area))
Radius of gyration=sqrt((Acceleration Due To Gravity*Metacentric height)*((Time period of rolling/2*pi)^2))
Radius of gyration=((Time period of oscillations^2)*metacentric height m*9.81)/(4*(pi^2))
Radius of gyration=sqrt(Area Moment Of Inertia/Area of cross section)

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