________________________________________________________________________
PROBLEM (*11.37) Determine the value of w0 that may cause the pinned column AB
in the structure of Fig. P11.37 to buckle. Assume that the column is constructed of a material for
which the stress-strain curve is as shown in Fig. P11.36. Use L = 0.5 m.
SOLUTION
0:
C
M=
∑
0
2
3
Pw=
C
P
w0
L (1)
L
2 3 50 2 3 14.4rb mm== =
500 14.4 34.7Lr== (inelastic buckling)
See solution of Prob. 11.36: 61.5
cr
M
Pa
σ
=
Thus, PA 6
61.5 10 (0.05 0.05)
cr cr
σ
==× × 154 kN
=
From Eqs. (1) and (2):
30
2
154 , 10 3wL×= 0462wkNm
=
/2
L
/2
Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or
instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other
reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States
Copyright Act without the permission of the copyright owner is unlawful.
1
/
1
100%