________________________________________________________________________
PROBLEM (11.38) Redo Prob. 11.36, given that one end of the column is fixed and the
other is pinned.
SOLUTION
0.7 350
e
LLm== m
Referring to solution of Prob. 11.36:
350 24.3
14.4
e
L
r== (inelastic buckling)
22
22
0.0167
()(24.3)
tt
cr t
e
EE E
Lr
ππ
σ
=== (1)
Elastic range: 9
0.0167(20 10 ) 334
cr
M
Pa
σ
=×=
is not valid above 40 MPa E
Second range: 9
0.0167(10 10 ) 167
cr
M
Pa
σ
=×=
is not valid above 60 MPa.
1t
E
Third range: 9
0.0167(7.5 10 ) 125
cr
M
Pa
σ
=×=
does not apply above 75 MPa.
2t
E
Fourth range: 9
0.0167(5 10 ) 83.5
cr
M
Pa
σ
=×=
N
is valid between 75 MPa and 85 MPa. Thus,
3t
E
63
83.5 10 (3.75 10 ) 313
cr
Pk
−
=× × =
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