Critical Slenderness Ratio for Aluminium Columns Calculator

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✖Allowable load is the maximum working load that can be applied on the structure.ⓘ Allowable Load [Q _a]			+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 [A]			+10% -10%

✖The Slenderness ratio is the ratio of the length of a column and the least radius of gyration of its cross section.ⓘ Critical Slenderness Ratio for Aluminium Columns [λ ]

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Critical Slenderness Ratio for Aluminium Columns

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

Stress at Point y for a Curved Beam

Stress=((Bending Moment )/(Cross sectional area*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

Bending Moment When Stress is Applied at Point y in a Curved Beam

Bending Moment =((Stress*Cross sectional area*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

Neutral Axis to Outermost Fiber Distance when Total Unit Stress in Eccentric Loading is Given

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

Total Unit Stress in Eccentric Loading

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

Maximum Bending Moment when Maximum Stress For Short Beams is Given

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

Maximum Stress For Short Beams

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

Axial Load when Maximum Stress For Short Beams is Given

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

Electric Current when Drift Velocity is Given

Electric Current=Number of free charge particles per unit volume*[Charge-e]*Cross sectional area*Drift Velocity GO

Resistance

Resistance=(Resistivity*Length of Conductor)/Cross sectional area GO

Centrifugal Stress

Centrifugal Stress=2*Tensile Stress*Cross sectional area GO

Rate of Flow

Rate of flow=Cross sectional area*Average Velocity 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

Transition from Long to Short Column Range

Slenderness Ratio=pi*(sqrt(End Fixity Coefficient*Aluminum Alloy Constant k*Young's Modulus/Yield stress)) 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 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

Critical Slenderness Ratio for Aluminium Columns Formula

Slenderness Ratio=sqrt(51000000/(Allowable Load/Cross sectional area))
λ =sqrt(51000000/(Q <sub>a</sub>/A))

More formulas

Critical Slenderness Ratio for Cast Iron Columns GO

Ultimate Load per Area for Cast Iron Columns GO

Ultimate Load per Area for Aluminium Columns GO

Slenderness Ratio

It is used extensively for finding out the design load as well as in classifying various columns in short/intermediate/long. The slenderness ratio of a column gives an indication of buckling failure in the column. More the slenderness ratio, more is the tendency of column to fail by buckling effect in that direction.

How to Calculate Critical Slenderness Ratio for Aluminium Columns?

Critical Slenderness Ratio for Aluminium Columns calculator uses Slenderness Ratio=sqrt(51000000/(Allowable Load/Cross sectional area)) to calculate the Slenderness Ratio, The Critical Slenderness Ratio for Aluminium Columns formula is defined as the effective length of the column and is the least radius of gyration, the latter defined by where is the area of the cross-section of the column and is the second moment of area of the cross-section. Slenderness Ratio and is denoted by λ symbol.

How to calculate Critical Slenderness Ratio for Aluminium Columns using this online calculator? To use this online calculator for Critical Slenderness Ratio for Aluminium Columns, enter Allowable Load (Q _a) and Cross sectional area (A) and hit the calculate button. Here is how the Critical Slenderness Ratio for Aluminium Columns calculation can be explained with given input values -> 225.8318 = sqrt(51000000/(10000/10)).

FAQ

What is Critical Slenderness Ratio for Aluminium Columns?

The Critical Slenderness Ratio for Aluminium Columns formula is defined as the effective length of the column and is the least radius of gyration, the latter defined by where is the area of the cross-section of the column and is the second moment of area of the cross-section and is represented as λ =sqrt(51000000/(Q _a/A)) or Slenderness Ratio=sqrt(51000000/(Allowable Load/Cross sectional area)). Allowable load is the maximum working load that can be applied on the structure and 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.

How to calculate Critical Slenderness Ratio for Aluminium Columns?

The Critical Slenderness Ratio for Aluminium Columns formula is defined as the effective length of the column and is the least radius of gyration, the latter defined by where is the area of the cross-section of the column and is the second moment of area of the cross-section is calculated using Slenderness Ratio=sqrt(51000000/(Allowable Load/Cross sectional area)). To calculate Critical Slenderness Ratio for Aluminium Columns, you need Allowable Load (Q _a) and Cross sectional area (A). With our tool, you need to enter the respective value for Allowable Load and Cross sectional area 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 Allowable Load and Cross sectional area. 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(((pi^2)*Modulus of Elasticity of Column*Column Cross-Sectional Area)/(Critical Buckling Load))
Slenderness Ratio=pi*(sqrt(End Fixity Coefficient*Aluminum Alloy Constant k*Young's Modulus/Yield stress))
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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