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

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

✖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%
✖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%
✖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%

✖Length is the measurement or extent of something from end to end.ⓘ Length of Column when Allowable Compressive Stress for Aluminium Columns is Given [l]

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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

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

Periodic time of SHM for compound pendulum in terms of radius of gyration

Periodic time for compound pendulum=2*pi*sqrt(((Radius of gyration^2)+(Distance of point of suspension of pendulum from the center of gravity^2))/(Acceleration Due To Gravity*Distance of point of suspension of pendulum from the center of gravity)) GO

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

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

Total Unit Stress in Eccentric Loading when Radius of Gyration is Given

Total Unit Stress=(Axial Load/Cross sectional area)*(1+(Outermost Fiber Distance*Distance_from Load Applied/(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

Time period of Rolling

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

Theoretical Maximum Stress for ANC Code Alloy Steel Tubing

Critical stress=135000-(15.9/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

Minimum periodic time of SHM for compound pendulum

Time Period SHM=2*pi*sqrt(2*Radius of gyration/Acceleration Due To Gravity) 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

Length over which Deformation Takes Place when Strain Energy in Torsion is Given

Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2) GO

Length over which Deformation Takes Place when Strain Energy in Shear is Given

Length=2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) GO

Length of rectangle when diagonal and breadth are given

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

Length of rectangle when perimeter and breadth are given

Length=(Perimeter-2*Breadth)/2 GO

Length of rectangle when diagonal and angle between two diagonal are given

Length=Diagonal*sin(sinϑ/2) GO

Length of a rectangle in terms of diagonal and angle between diagonal and breadth

Length=Diagonal*sin(sinϑ) GO

Length of rectangle when area and breadth are given

Length=Area/Breadth GO

Length of the major axis of an ellipse (b>a)

Length=2*Major axis GO

Length of major axis of an ellipse (a>b)

Length=2*Major axis GO

Length of minor axis of an ellipse (a>b)

Length=2*Minor axis GO

Length of minor axis of an ellipse (b>a)

Length=2*Minor axis GO

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

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

More formulas

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

Length of Column when Allowable Compressive Stress for Aluminium Columns is Given calculator uses Length=sqrt(End Fixity Coefficient*(pi^2)*Young's Modulus/(Compressive Stress/(Radius of gyration)^2)) to calculate the Length, The Length of Column when Allowable Compressive Stress for Aluminium Columns is Given formula is defined as the distance between two points where a column gets its fixidty of support so its movement is restrained in all directions. Length and is denoted by l symbol.

How to calculate Length of Column when Allowable Compressive Stress for Aluminium Columns is Given using this online calculator? To use this online calculator for Length of Column when Allowable Compressive Stress for Aluminium Columns is Given, enter End Fixity Coefficient (c), Young's Modulus (E), Compressive Stress (σ_c) and Radius of gyration (k_G) and hit the calculate button. Here is how the Length of Column when Allowable Compressive Stress for Aluminium Columns is Given calculation can be explained with given input values -> 421488.9 = sqrt(1*(pi^2)*100000000000/(50/(3)^2)).

FAQ

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

The Length of Column when Allowable Compressive Stress for Aluminium Columns is Given formula is defined as the distance between two points where a column gets its fixidty of support so its movement is restrained in all directions and is represented as l=sqrt(c*(pi^2)*E/(σ_{c/(k_G)^2))} or Length=sqrt(End Fixity Coefficient*(pi^2)*Young's Modulus/(Compressive Stress/(Radius of gyration)^2)). 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, 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), Compressive Stress is the force that is responsible for the deformation of the material such that the volume of the material reduces 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 Length of Column when Allowable Compressive Stress for Aluminium Columns is Given?

The Length of Column when Allowable Compressive Stress for Aluminium Columns is Given formula is defined as the distance between two points where a column gets its fixidty of support so its movement is restrained in all directions is calculated using Length=sqrt(End Fixity Coefficient*(pi^2)*Young's Modulus/(Compressive Stress/(Radius of gyration)^2)). To calculate Length of Column when Allowable Compressive Stress for Aluminium Columns is Given, you need End Fixity Coefficient (c), Young's Modulus (E), Compressive Stress (σ_c) and Radius of gyration (k_G). With our tool, you need to enter the respective value for End Fixity Coefficient, Young's Modulus, Compressive Stress 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 Length?

In this formula, Length uses End Fixity Coefficient, Young's Modulus, Compressive Stress and Radius of gyration. We can use 11 other way(s) to calculate the same, which is/are as follows -

Length=sqrt(Diagonal^2-Breadth^2)
Length=Area/Breadth
Length=(Perimeter-2*Breadth)/2
Length=Diagonal*sin(sinϑ)
Length=Diagonal*sin(sinϑ/2)
Length=2*Major axis
Length=2*Major axis
Length=2*Minor axis
Length=2*Minor axis
Length=2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
Length=sqrt(2*Strain Energy*Polar moment of Inertia*Shear Modulus of Elasticity/Torque^2)

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