[amp_mcq option1=”2L” option2=”L” option3=”$$\frac{{\text{L}}}{2}$$” option4=”$$\frac{{\text{L}}}{{\sqrt 2 }}$$” correct=”option1″]
The correct answer is $\boxed{\frac{{\text{L}}}{{\sqrt 2 }}}$.
A column with both ends fixed is a simply supported column. The equivalent length of a simply supported column is given by the following formula:
$$\text{Le} = \frac{{\text{L}}}{{\sqrt 2 }}$$
where $\text{Le}$ is the equivalent length and $\text{L}$ is the actual length of the column.
The equivalent length is a measure of the stiffness of the column. A longer equivalent length means that the column is stiffer and will deflect less under load.
The other options are incorrect because they do not represent the equivalent length of a simply supported column.