Civil Engineering Reference
In-Depth Information
As F D Lk,BL = 11.82 kN/m < F LEd,1 = 84.37 kN/m, the first component from the basic
value of the bond is
q
b L τ L1k s L0k E L t L F LEd ; 1
Δ F Lk ; BL
F LEd ; 1
p
100 2
? 2 : 39 ? 0 : 20 ? 170 000 ? 1 : 4 84 370 2
Δ F Lk ; BL
84 370
6 : 51 ? 10 3 N = m 6 : 51 kN = m
The second component from the frictional bond is obtained with the frictional bond
stress
τ LFk according to DAfStb guideline part 1 annex RV K 1 as follows:
s
τ L1k ? s L 0 k
t L ? E L
!
!
F LEd ; 1
b L ? t L ? E L
2 ? t L ? E L
τ L1k
F LEd ; 1
b L ? t L ? E L
Δ F Lk ; BF τ LFk ? b L ?
s r
?
8 ? α cc ? f cm 0 : 89
85 ? 28 0 : 89
mm 2
τ LFk
10
:
10
:
8 ? 0
:
0
:
47 N
=
2 ? 1
:
4 ? 170 000
2
F Lk ; BF
0
;
47 ? 100 ?
200
:
96
:
39
0
@
! 1
A
2
84 370 2
:
39 ? 0
:
20
84 370
100 ? 1
4 ? 170 000
?
1
:
100 2
4 2
? 170 000 2
:
4 ? 170 000
? 1
:
92 ? 10 3 N
m
The third component, caused by the curvature of the member, with κ k = 24.3 10 3 and the
crack strains ε Lr1 and ε cr1 at the less heavily stressed crack edge, is
Δ F Lk ; KF s r ? κ k ? ε Lr1 ε cr1
h
6
;
=
m
6
:
92 kN
=
? b L
? 10 3
4
:
89
1
:
74
Δ F Lk ; KF 201 : 96 ? 24 : 3 ? 10 3
? 100
?
160
20 : 24 ? 10 3 N = m 20 : 24 kN = m
The admissible change in the strip force for element 3 is therefore
F LRd Δ
F Lk ; BL Δ
F Lk ; BF Δ
F Lk ; KF
6
:
51
6
:
92
20
:
24
Δ
22
:
45 kN
=
m
γ BA
1 : 5
The analysis for element 3 is as follows:
Δ
F LEd
11
:
71 kN
=
m
Δ
F LRd
22
:
45 kN
=
m
The analysis is carried out for every concrete element between cracks. The
three components of the admissible change in the strip force depend on the acting
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