Question
Download Solution PDFThe buckling load for a given material depends upon:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Column:
- If a beam element is under a compressive load and its length is an order of magnitude larger than either of its other dimensions such a beam is called a column.
- Due to its size, its axial displacement is going to be very small compared to its lateral deflection called buckling.
Euler's Buckling Load:
where, Pcr = critical load for buckling; E = Young's Modulus (GPa); Imin = Area moment of inertia, le = effective length; kmin = minimum radius of gyration
Slenderness Ratio (S):
The ratio between the length and least radius of gyration.
Hence, the buckling load depends on the Slenderness Ratio and modulus of elasticity.
Additional Information
The buckling load for various end conditions is given in the table below.
|
End conditions |
Le |
Buckling load |
|
Both ends hinged |
Le = L |
|
|
Both ends fixed |
|
|
|
One end fixed and another end is free |
Le = 2L |
|
|
One end fixed and another end is hinged |
|
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