If a column is effectively held in position and restrained against ro...
If a column is effectively placed in position and restrained against rotation at one end and restrained against rotation at the other but not held in position, the recommended value of effective length is 1.2 (l).
Hence the correct answer is option C.
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If a column is effectively held in position and restrained against ro...
Answer:
To understand the recommended value of effective length in the given scenario, let's first understand what effective length means in structural engineering.
Effective Length:
Effective length is the length of a column that takes into account its end conditions and the degree of lateral support it receives. It is used to determine the critical buckling load of the column.
In the given scenario, the column is effectively held in position and restrained against rotation at one end, but at the other end, it is restrained against rotation but not held in position. This means that one end of the column is fixed, while the other end is hinged.
Fixed End and Hinged End:
- A fixed end is one that is fully restrained against rotation and translation.
- A hinged end is one that is fully restrained against translation but not rotation.
Determination of Effective Length:
The effective length of a column depends on its end conditions and the degree of lateral support it receives. The effective length factor, denoted as K, is used to calculate the effective length. Here are the effective length factors for different end conditions:
- Both ends fixed: K = 0.5
- One end fixed, one end hinged: K = 1.0
- Both ends hinged: K = 2.0
In the given scenario, one end of the column is effectively held in position and restrained against rotation, while the other end is restrained against rotation but not held in position. This corresponds to the end conditions of one end fixed and one end hinged.
Recommended Value of Effective Length:
For the given end conditions, the recommended value of effective length is 1.2 times the actual length of the column. This means that the effective length is slightly longer than the actual length of the column.
Therefore, the correct answer is option (c) 1.2 (l), where 'l' represents the actual length of the column.