# Effective length of solid circular bar = 1/ √2 of actual length

Q.  While determining crippling load, the effective length of solid circular bar is 1/ √2 of actual length if, _______
- Published on 23 Sep 15

a. both ends of solid circular bar are fixed
b. both ends of solid circular bar are hinged
c. one end is fixed and one is free
d. one end is fixed and other end is hinged

ANSWER: one end is fixed and other end is hinged

#### Discussion

• Sravanthi   -Posted on 25 Nov 15
- The relation between actual length and effective length for different end conditions is given as follows:

1) If both ends are hinged, Le = L

2) If one end is fixed and other is free, Le = 2 L

3) If both ends are fixed, Le = L / 2

4) If one end is fixed and other end is hinged, Le = L /√2

- Effective length is the distance between point of contra-flexure or inflexion along the length of column.

- If the effective length of column is less, than it has high load carrying capacity and less danger of lateral buckling.

- Crippling load in terms of effective length can be given as follows:

Crippling load = (π2E I) / (Le)

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