SSC JE Civil Engineering 23-Sep-2019 Shift 1 Solved Paper

Question : 200 of 200

Marks: +1, -0

What is the relation between equivalent length (

L_e

) and actual length (l) for a column with one end fixed and the other free?

Solution:

The equivalent length of a column is usually given in terms of the actual length and depends upon the end conditions of the column.

Sr. No.	End Condition	Relationship between the equivalent length and the actual length
1.	Both Ends Hinged	$L_e = L$
2.	One end Fixed, Other End Free	$L_e =2 L$
3.	Both Ends Fixed	$L_e = L/2$
4.	One End Fixed, Other End Hinged	$L_e = L/√2$

Hence, option (d) is the correct relation between equivalent length

L_e

and actual length L for a column with one end fixed and the other end free.

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