________________________________________________________________________
PROBLEM (7.9) An S 8 x 23 rolled-steel I beam (see Table B.7) carries a moment M
about the z axis, as shown in Fig. P7.9. Determine:
(a) The radius of curvature
ρ
of the beam.
(b) The radius of curvature 1
ρ
of a transverse cross section of the beam.
Given: E = 29 x 106 psi,
ν
= 0.3, M = 400 kip
⋅
in.
SOLUTION
For S150x26 rolled-steel section:
4
64.4 .
I
in=
(a) 34
6
1 400 10 2.142(10 )
(29 10 )(64.4)
M
EI
ρ
−
×
== =
×
4,669 . 389in ft
ρ
==
(b) 14,669 15,563 . 1,297
0.3 in ft
ρ
ρν
=− =− =− =−
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