Euler's formula holds good only for-

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Euler's formula holds good only for-

AWeak columns

BShort columns

CBoth short and long columns

DLong columns

Answer:

D. Long columns

Read Explanation:

Euler's formula is specifically applicable to long columns, as it primarily deals with the buckling behavior of slender members under axial compression. This distinction is crucial because the assumptions made in Euler's theory are valid only for long columns where the length is significantly greater than the cross-sectional dimensions.

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Related Questions:

The equivalent length of the column when both the ends are fixed is

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	$L_e=2L$

Euler's formula is not valid for mild steel column when slenderness ratio is

A long column fails by

The effective length 'L' of a column hinged at both ends as compared to its actual length l is-