design of column ad slenderness ratio

In this presentation basic concepts about design of column are described.

1. GANDHINAGAR INSTITUTE OF TECHNOLOGY ACTIVE LEARNING ASIGNMENT TOPIC - Design of Column SUBJECT - Machine Design and Industrial Drafting BATCH - C-2 Mechanical ENROLLMENT NO. - 150120119159 GUIDED BY -P rof. Vrajesh Makwana

2. A member of a structure which carries an axial compressive load is called a strut A vertical strut which is liable for failure due to buckling or bending is called a column Failure of a STRUT occurs due to any one of the following stresses set up in the column Direct stress - Due to compressive stress (for short columns) Buckling stress or crippling stress - Due to lateral bending of columns Combined direct compressive stress and buckling stresses   COLUMNS & STRUTS

3. Radius of Gyration(k ) , k = √(I/A) or I = AK² K=radius of gyration I = Moment of Inertia (mm 4 ) A = Area of Section (mm 2 ) Slenderness ratio, Slenderness Ratio = effective length of column/Minimum radius of gyration λ = le/k min Slenderness ratio :-

4. LONG COLUMN : When length of column is more as compared to its c/s dimension, it is called long column. Long Column Le/k min > 50 Or, Le/d > 15 for Long Where, Le = effective length of column d = least lateral dimension of column. K min = Minimum radius of gyration

5. SHORT COLUMN : When length of column is less as compared to its c/s dimension, it is called Short column. Short Column Le/k min <50 Or, Le/d < 15 Crushing Load : The load at which, short column fails by crushing is called crushing load.

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