Which of the following column has the formula for the Euler's buckling load as $\frac{\pi ^ 2 El}{L ^ 2}$ ?

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Which of the following column has the formula for the Euler's buckling load as $\frac{\pi ^ 2 El}{L ^ 2}$ ?

AColumn with one end fixed and other end free.

BColumn with one end fixed and other end hinged

CColumn with both ends fixed.

DColumn with both ends hinged.

Answer:

D. Column with both ends hinged.

Read Explanation:

The formula of a column with both ends hinged,

\frac{\pi ^ 2 El}{L ^ 2}

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Related Questions:

The slenderness ratio of a 4 m column with fixed ends having a square cross-sectional area of side 40 mm is:

The equivalent length of a column as per Euler's theory whose one end is fixed and the other end is hinged is given by

Match List-I (End conditions of columns) with List-ll (Equivalent length in terms of hinged-hinged column) and select the correct answer using the codes given below the lists

	List I		List II
a	Both ends Hinged	1	$L_e=L$
d	One end fixed and other end is free	2	$L_e=\frac {L}{\sqrt2}$
c	One end fixed and other end is hinged	3	$L_e=\frac L2$
d	Both ends Fixed	4	$L_e=2L$

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