Civil Engineering Reference
In-Depth Information
2
4
1
3
b 1
b 0
b eff
b 2
b e1
b 0
b e2
L 1
L 2
L 3
L 1 /4
L 1 /2
L 1 /4 L 2 /4
L 2 /2
L 2 /4
Key:
1 L e = 0.85 L 1 for b eff,1
2 L e = 0.25 ( L 1 + L 2 )for b eff,2
3 L e = 0.70 L 2 for b eff,1
4 L e = 2 L 3 for b eff,2
b eff,1
b eff,1
b eff,0
b eff,2
b eff,2
Figure 3.27 Equivalent spans for effective width of concrete flange according to
EC4 [ 3.6 ] .
a constant effective width may be assumed over the whole of each span. This
value may be taken as the value b eff,1 at midspan for a span supported at both
ends or the value b eff,2 at the support for a cantilever. According to EC4
[ 3.6 ] , at midspan or an internal support, the total effective width b eff (see
Figure 3.27 ) may be determined as
b eff ¼ b o + X b ei
ð 3
:
69 Þ
where b 0 is the distance between the centers of the outstand shear connectors
and b ei is the value of the effective width of the concrete flange on each side
of the web and taken as L e /8 (but not greater than the geometric width b i ).
The value b i should be taken as the distance from the outstand shear connec-
tor to a point midway between adjacent webs, measured at middepth of the
concrete flange, except that at a free edge b i is the distance to the free edge.
The length L e should be taken as the approximate distance between points of
zero bending moment. For typical continuous composite beams, where a
moment envelope from various load arrangements governs the design,
and for cantilevers, L e may be assumed to be as shown in Figure 3.27 .
The effective width at an end support may be determined as
b eff ¼ b o + X b i b ei
ð 3
:
70 Þ
71 Þ
where b ei is the effective width of the end span at midspan and L e is the
equivalent span of the end span according to Figure 3.27 . The distribution
of the effective width between supports and midspan regions may be
assumed as shown in Figure 3.27 . The transverse distribution of stresses
with b i ¼ 0
ð
:
55 + 0
:
025 L e =
b ei
Þ 1
:
0
ð 3
:
 
 
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