Civil Engineering Reference
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f ck
200
λ
150
β 0 : 35
30
200
23
9
150
:
β
0
:
35
0
:
34
8
f cm N = mm 2
16
:
? β 0 ; k M 0 ; Eqp
M Ed
φ ef
k ?
q
3 p ? 1 : 0 20 : 7
16 : 8
φ ef 0 : 39 ?
48 : 5 0 : 45
Using these variables it is possible to calculate the maximum acting moment:
l 2
π
M Ed N Rd ?
e tot
? ξ 1 ? ξ 2 ? ϕ bal ? K ϕ
2
3000 2
π
6642 : 4 ? 10 3
? 0 : 58 ? 1 ? 1 : 63 ? 10 5
? 10 6
7 : 5
? 1 : 15
115 : 7 kNm
2
It is now necessary to calculate the resistance of the cross-section with the second part of
Eq. (RV 6.63) according to the DAfStb guideline [1, 2]:
sin 3
1
γ LG ?
2
3 ? α 1 ? f cck ? A c ?
D
2 ?
π ? θ
M Rd
π
1
γ s ? f syk ? A s ?
D
2 ?
sin
π ? θ
sin
π ? θ
c
t
π
sin 3
1
2
3 ? 0
500
2 ?
π ? 0
:
809
95 ? 1964 ? 10 2
? 10 6
M Rd
:
953 ? 32
:
35 ?
?
1
:
π
1
1 : 15 ? 500 ? 5890 ?
500
2 ?
sin π ? 0 : 886
sin π ? 0
? 10 6
115 : 1 kNm
π
As the resistance is equal to the action, the relative angle
θ
chosen was correct.
M Rd 115 : 7 kNm M Ed 115 : 1 kNm
As the acting axial load is less than the axial load resistance of the column, the column
load-carrying capacity is satisfactory.
N Rd 6642 : 4kN N Ed 6469 : 8kN
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