For a column of length 15 m with one end fixed and other end free, eu...
Length of a column = 15 m
Equivalent length is
Le = 2L
= 2(15)
= 30 m
For a column of length 15 m with one end fixed and other end free, eu...
Explanation:
To understand why the equivalent length of a column with one end fixed and the other end free is 30 m, we need to consider the behavior of such a column under different loading conditions.
Column Behavior:
When a column is subjected to an axial compressive load, it tends to buckle laterally. The buckling behavior is influenced by various factors including the length, boundary conditions, and material properties of the column.
Boundary Conditions:
In this case, one end of the column is fixed, which means it cannot move or rotate. The other end is free, allowing it to move laterally and rotate freely.
Equivalent Length:
The equivalent length is a concept used to simplify the analysis of columns by considering their actual behavior as that of an idealized column with a certain length. This idealized column is known as the equivalent column.
The equivalent length of a column with one end fixed and the other end free is twice the actual length of the column. Therefore, the equivalent length is 2 * 15 m = 30 m.
Explanation:
When a column is subjected to an axial compressive load, it tends to buckle laterally. The buckling behavior is influenced by various factors including the length, boundary conditions, and material properties of the column.
In this case, one end of the column is fixed, which means it cannot move or rotate. The other end is free, allowing it to move laterally and rotate freely.
The equivalent length is a concept used to simplify the analysis of columns by considering their actual behavior as that of an idealized column with a certain length. This idealized column is known as the equivalent column.
The equivalent length of a column with one end fixed and the other end free is twice the actual length of the column. Therefore, the equivalent length is 2 * 15 m = 30 m.