Question

A column of height h with a rectangular cross-section of size has a buckling load of p. If the cross-section is changed to and its height changed to 1.5 h, the buckling load of the redesigned column will be

Answer 1

Sol. Given :

Height ' ' h changes to '1.5 ' h cross-section ( 2) a a  change to (0.5 3 ) a a  bucking load of column of height h and cross-section ( 2) a a  is ' ' P To find :

'Buckling load ' '

Pcr of column of height '1.5 ' h and cross section.(0.5 3 ) a a 

Case-I : For column of height ‘h’ and of cross section ( 2) a a  : Buckling load, 3 2 2 2 4 min 22 2 (2 ) 12 () 6 eff a a E EI Ea P L hh       

Case-II :

For column of height '1.5 ' h and cross section (0.5 3 ) a a  : 3 2 2 (0.5 ) (3 ) 12 (1.5 )

cr a a E P h     2 4 2 1 12 6 12 Ea P h     (From case1)

Answer 2

Explanation:

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