Civil Engineering Reference
In-Depth Information
h
i ? d ? b w
1
=
3
V Rd ; c
C Rd ; c ? k ? 100 ? ρ l ? f ck
0 : 12 ? σ cp
The following shear resistance is calculated using the variables in Eq. (6.2a) according to
DINEN 1992-1-1 or its National Annex. It should be noted here that according to DAfStb
guideline part 1 section 6.2.2 (RV7) andDINEN1992-1-1 Fig. 6.3, the externally bonded
reinforcement may not be counted as part of the longitudinal reinforcement.
r
200
d
r
200
653
k
1
1
1
:
55
2
:
0
σ cp N Ed = A c 0
0
:
15
γ c
0
:
15
C Rd ; c
5
0
:
10
1
:
A sl
d ? b w
3079
653 ? 300
ρ l
1
:
57
%
2
%
h
i
1 = 3
V Rd ; c
0
:
10 ? 1
:
55 ? 1
:
0 ?
1
:
57 ? 30
? 653 ? 300
109
:
94 kN
The minimum shear resistance of a member without shear reinforcement is given by
DIN EN 1992-1-1 Eq. (6.2b) as
q
k 3
0
:
0525
γ c
V Rd ; c
? f ck
0
:
12 ? σ cp
? d ? b w
?
p
1
0
:
0525
1 : 5
55 3
:
? 30
? 653 ? 300
73
:
91 kN
?
The design shear resistance of this member without shear reinforcement is therefore
V Rd,c =
109.94 kN.
The limit beyond which no shear wrapping at the end of the strip is necessary is
calculated using DAfStb guideline [1, 2] part 1 Eq. (RV 6.121) depending on the
distance of the strip from the centre of the support a L according to Section 6.5.3:
!
0 : 15
100 ? ρ sl
V Rd ; c ; LE 0 : 75 ?
1 19 : 6 ?
? V Rd ; c
a 0 : 36
L
!
0
:
15
1
:
57
V Rd ; c ; LE
0
:
75 ?
1
19
:
6 ?
? 109
:
94
282
:
52 kN
400 0 : 36
As the acting shear force is greater than the limit according to the DAfStb guideline,
shear wrapping at the end of the strip is essential.
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