Civil Engineering Reference
In-Depth Information
Q
Q
Before
buckling
Q
After
buckling
-z Q
-z Q
n L/ 2
z Q f L/ 2
-
L/ 2
L/ 2
f L/ 2
(a) Elevation
(c) Section at mid-span
Q ( v - z Q f ) L/ 2
2
x
Q/ 2
d
v
v
v L/ 2
d
x
d
v
x d
- z Q f L/ 2
x
Q
(b) Plan on longitudinal axis
Figure 6.5 I-beam with a central concentrated load.
80
Approximate equation 6.4
with m =1.35
2 z Q / d f = 1
Bottom flange
60
= ( z Q / L ) ( EI z / GI t )
=0.6
0
Centroid
40
0.3
0
-1
-0.3
20
-0.6
Top flange
0
0
0.5
1.0
1.5
2.0
2.5
3.0
Beam parameter K = ( 2 EI w / GI t L 2 )
Figure 6.6 Elastic buckling of beams with central concentrated loads.
For centroidal loading ( ε = 0), the elastic buckling load Q increases with the
beam parameter K in much the same way as does the buckling moment of beams
 
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