Civil Engineering Reference
In-Depth Information
The condition
N
cr,eff
10
N
Ed
(Equation 5.27) is not satisfied, so second-
order effects must be allowed for.
From Fig. 5.13(b),
≥
M
1,Ed
=
19 kN m
and
M
2,Ed
=
0
From Equation 5.29,
β
end
=
0.66
From Equation 5.28,
k
end
=
0.66/(1
−
2807/9750)
=
0.66
×
1.404
=
0.93
For the initial bow
e
0
=
20 mm (Section 5.4.1),
β
imp
=
1.0, and
N
Ed
e
0
=
2807
×
0.02
=
56 kN m
From Equation 5.28,
k
imp
=
1.404
From Equation 5.30, and as shown in Fig. 5.17,
M
y,Ed
=
0.93
×
19
+
1.4
×
56
=
18
+
78
=
96 kN m
(5.50)
From Fig. 5.16,
M
y,Rd
=
125 kN m
(5.51)
Figure 5.17
Major-axis bending-moment diagrams for external column
