Mechanical Engineering - Strength of Materials - Discussion

@All.

Depending upon slenderness ration column may be classified as a short column or long column.
IS: 456-2000 classifies a rectangular compression member as short when both the slenderness ratios (Lex/D) and (Ley/b) are less than 12. Where Lex = Effective length in respect of major axis Ley = Effective length in respect of minor axis D = Depth in respect of major axis b = width of member If any of these ratios is equal to more than 12, then it is termed as a slender or long column.

This definition is not suitable for non-rectangular and non-circular sections where the slenderness ratio is better defined in terms of the radius of gyration than the lateral dimensions.

Important Points For steel columns:
SR < 32 : Short column.
SR 32 - 120: Medium column.
SR > 120: Long Column.

By looking or measuring, I guess we can understand it is long or short. Am I right?

S.R <32 IS SHORT COLUMN.
S.R IN BETWEEN 32-120 IS MEDIUM COLUMN.
S.R > 120 IS LONG COLUMN.

I think 120 is correct. Then how it is possible for 80?

@Jose.

80 or 12 which is correct?

Slenderness ratio is greater than 12 means long column if it is less than 12 means it is short column.

@Shubham.

Less than 80--> short column.

More than 80---> long column.

It is the perpendicular distance from the axis of rotation to a point mass (of mass, m) that gives an equivalent inertia to the original object (s) (of mass, m).

The nature of the object does not affect the concept, which applies equally to a surface, a bulk mass, or an ensemble of points.

What is the value of slenderness ration for short and long columns?

Radius of gyration = MI.

i.e mass in to moment of inertia.