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Eduardo Humberto Achá NavarroProf. Khosrow Ghavami
* RESEARCH LINE
* PUSH-OUT TEST• Review
• Research
- Steel connectors
• Introduction
- Bamboo connectors
* SLABS BENDING TEST
• Review
• Research
- Overview
- Calculation methods
- Bamboo permanent shutter
- Connectors map
- Treatment on slabs
- Setting and test of slabs
- Behaviours
• Introduction* RESEARCH LINE
* PUSH-OUT TEST• Review
- Steel shear connectors
EUROCODE 4 model push-out test Connectors type
* PUSH-OUT TEST• Research - Bamboo shear connectors
- Surface Treatment
* PUSH-OUT TEST
- Instrumentation and test
P
* PUSH-OUT TEST
0,5P 0,5P
* PUSH-OUT TEST
- Behaviours
• Review
- Overview
Some Steel – Concrete slabs
* SLABS BENDING TEST
Steel Deck Slab Some Steel – Concrete slabs
mín. 50
hF 75
mín. 50bF
75
mín. 50
hF 75
mín. 50
hF
75
mín. 50
hF
mín. 50bF
mín. 50bF
mín. 50bF
mín. 50bF
mín. 40 mín. 40
mín. 40
Brazilian code to Steel –Concrete slabs
NBR 8800 (1986)
- Calculation methods* Simplified analysis for bamboo shutter concrete slabs (Elastic regime)
cbt fx
xdmf ⋅−= )(
)(22 xdAmbx bt −⋅⋅⋅=
)3
(2
1)
3(
xdfxb
xdfAM cbtbtr −⋅⋅⋅=−⋅⋅=
* Last Limit load analysis (Plastic regime)
• Review* SLABS BENDING TEST
- Neutral Plastic line over the steel
x
- Neutral Plastic line crossing the steel
−=2,
xdNM pcfRdp
ap
ypppacf
fANN
γ==
=
c
ck
cf
fb
Nx
γ85,0
prcfRdp MzNM +=,
c
ckccf
fbhN
γ85,0
=
( ) ;2
ap
ypp
cfpp
c
fA
Neee
hhz
γ
−+−−=
;125,1 pa
ap
ypp
cfpapr M
fA
NMM ≤
−=
γ
- Bamboo permanent shutter preparation
* SLABS BENDING TEST
- Bamboo permanent shutter preparation
* SLABS BENDING TEST
TFDG-MD
54.0
53.052.0
50.050.0
58.5
52.0
51.0 59.050.051.5
53.050.0 53.0
50.052.0
50.051.5
52.0
52.0
49.058.0 60.0 57.0
54.051.0 50.5
52.550.0
52.052.5 52.0
53.0 53.0
2018 21 20
20
18 20 1922
20 21212120 22
2222 23 24 24 25 26 27
23 24 26 26 27 2823 23 24 25 26 28
26 28 52303128
28 28 28
- Position and distance betweennodes (connectors)
* SLABS BENDING TEST
TFGA-MD
46.050.0
45.041.5
30.039.0 52.5
56.051.0
43.053.0
52.0
52.0 52.055.0 56.053.0 52.0
43.0 44.053.0 53.0
53.0 52.0
52.0 52.055.554.0
52.5 51.044.0 45.0 45.0
52.0 52.053.052.0
55.054.5
43.551.0
51.052.0
183120 19 2120
30 282730 28 26 25
2722 23 23 24 25 26 28
27 2623 23 23 23 21 22
2324232428 28 28
2320222121 21 20 19 20
- Surface Treatment • Research
* SLABS BENDING TEST
SLAB Slump (cm)
fc (MPa)
fcm (MPa)
f t (MPa)
f tm (MPa)
Ec(GPa)
TFDG-MD 8,5 29,34 26,41 3,37 2,86 34,76
TFGA-MD 8,0 30,30 27,27 3,70 3,15 36,12
TFDG-DC 8,5 28,71 25,84 3,41 2,90 34,40
Characteristics of concrete
• SIKADUR 32 GEL • CPV-ARI-PLUS(2.75 MPa)
- Surface Treatment • Research
* SLABS BENDING TEST
• SIKADUR 32 GEL • CPV-ARI-PLUS
Species of bamboo Nodes σt (MPa) E (GPa)
Dentrocalamus giant Without nodes 245,56 20,76
With nodes 135,11 20,76
Guadua Angustifolia Without nodes 90,78 18,09
With nodes 73,17 11,09
Characteristics of Bamboo
- Instrumentation of slabs* SLABS BENDING TEST
- Test of slabs
Vertical displacement
10
1 2 3 4 5
P/2 P/2
20
30
40
50
60
70
80
Car
ga
(KN
)C
arga
(K
N/m
2)
10
20
30
40
50
60
32.5
39.0
26.0
19.5
13.0
6.5
Início de fissuração
Carga de ruptura
P/2
60
80
70
40
50
30
20
10
1
Início de fissuração
Carga de ruptura
Ca
rga
(K
N)
Ca
rga
(K
N/m
2)
50
53.9
2
40
30
20
310
27.5
29.7
16.5
22.0
5.5
11.0
4 5
P/2
- Behaviours
* SLABS BENDING TEST
80
90
100
110
(mm)
74 48.145.570
44.568.4 LVDT
P/2 P/2
21 4 53
b
Laje TFDG-MD
b=60cm
110
100
(mm )
90
2
P/2
Laje TFG A-M D
1
b=71cm
P/2
LVDT
b
3 4 5
(mm)
70
80
90
100
110
60
10
20
30
50
40
Ca
rga
(K
N/m
2)
Ca
rga
(K
N)
21 3 4
P/2 P/2
5
1
Laje TFDG-DC
P/2
2 43
LVDT
bP/2
b=64cm
5
Carga de início de fissuração:115.90KN-70.70KN/m 2
Carga de ruptura:119.34KN-72.80KN/m 2
61100
90 54.9
80 48.8
70 42.7
60 36.6
50 30.5
40 24.4
30 18.3
10 6.1
20 12.2
2000Carga de ruptura
Início de fissuração
Ca
rga
(K
N/m
2)
1000
1 2
P/2
Ca
rga
(K
N)
3 4
P/2
5
250500750
125015001750
22502500
concreto
10 6.5
13.020
19.530
40 26.0
50 32.5
60 39.0
68.4 44.522502500
1250
17502000
1500
7501000
500250
Car
ga
(KN
/m2)
P/2
Car
ga
(KN
) P/2
Início de fissuração
Carga de ruptura27.550
16.5
22.040
30
11.020
10 5.5
Obs.- Gage danificado, no ponto 4 para carga de ruptura
1 2 3 4 5
Concrete Longitudinal Strain
- Behaviours
* SLABS BENDING TEST
3000
b
3 541 2
P/2 P/2
b=60cmLaje TFDG-M D
25002750
32503500
concreto
µ strain
68.4 44.5
74 48.1
32503500
27503000
2500
µstrain
29.753.9 concreto
1 2
P/2
3
b
4
P/2
5
Laje TFGA-MD
b=71cm
2250
3000
35003250
27502500
150017502000
10001250
750
250500
P/2
Carga de ruptura
Início de fissuração
Car
ga
(KN
/m2
)
Car
ga
(KN
) P/2
µstrain
100 61
80
90
70
48.8
54.9
42.7
30 18.3
60
5040
36.6
30.524.4
20 12.2
115.9 70.7
119.3 72.8
concreto
1 2
P/2
3
P/2
4 5
Laje TFDG-DC
b=64cm
b
1 2 3 4 5
375040004250
2250
1250
17502000
1500
7501000
500250
Car
ga
(KN
/m2
)
P /2
Car
ga
(KN
) P /2
Início de fissuração
Carga de ruptura39.060
30 19.5
32.5
26.0
50
40
13.0
6.5
20
101 2 3 4 5
225
150175200
100125
75
2550
P/2
Carga de ruptura
Início de fissuração
Ca
rga
(KN
/m2
)
Ca
rga
(KN
) P/2
22.0
16.5
40
30
11.0
5.510
20
1 2 3 4 5
Bamboo Longitudinal Strain
- Behaviours
* SLABS BENDING TEST
2250
32503500
27503000
2500
µ strain
48.174
44.568.4
bam buLaje T FD G -M D
P/2b
b=60cm
P/2
1 42 3 5
225
300
350325
275250
µstrain
53.9 29.7
27.550
375400
532 41
bambu
P/2P/2b
Laje TFGA-MD
b=71cm
P/2
7000
25002000
400035003000
50005500
65006000
4500
10001500
500
P/2
Car
ga
(KN
)C
arga
(K
N/m
2)
µ strain
Carga de início de fissuração:115.90KN-70.70KN/m2
Carga de ruptura:119.34KN-72.80KN/m2
Obs.- Gages danificados, nos pontos 2 e 4, para carga de ruptura
80 48.8
110 70.7
100
90
61
54.9
24.440
70
6050
36.6
42.7
30.5
20
30 18.3
12.2
1 2 3 4 5
bambu
P/2 P/2
Laje TFDG-DC
b=64cm
b
1 2 3 4 5
40
12 50
C
7 4 6 8.4 6 0 5 0Ca rga (K N )
C
35 00
G A G E 5
(+ )µ strain 3 00 032 50 2 75 0 25 00 1 75 02 25 0 2 00 0 15 00
H =1 1cm
-32 50
b =60 cm
30 2 0 1 0
P /2
5
P /24
b
-1 00 075 01 00 0 5 00 2 50 -5 00-2 50 -7 50
C arg a d e ru ptura
L aje T FD G -M D H
Início d e fissuração
-1 50 0-12 50 -17 50 -20 00 -275 0-25 00-2 25 0 -30 00 (-)µ strain( -)µ strain-3 50 0
G A G E 4
5 ,6 cm
2010 30 504 0 60 7468 .4
C arg a (K N )
L .N .
Neutral Line
- Behaviours
* SLABS BENDING TEST
1 00 0
C
G A G E 5 Ca rga (K N )
32 5035 00(+ )µ strain 2 00 02 25 02 75 03 00 0 25 00 15 001 75 0 12 50
53 .9 50 40 30 2010
H
Laje TFG A -M D H =1 1cm
b
5
P /24
P /2
-12 50-2 5075 0 2 505 00
10 cm
-7 50 -1 00 0-5 00
C arg a d e ru ptura
b=7 1cm
-25 00
Iníc io d e fissuração
-2 25 0-20 00-1 50 0 -17 50 -3 50 0-30 00-275 0 -32 50 (-)µ strain( -)µ strain
CG A G E 4
C arg a (K N )
10 2 0 3 0 4 0 5 0 53 .9
L .N .
(+ )µ s tra in
C a rg a (K N )
C
G A G E 5 1 1 9 .3 1 1 5 .9 0 1 0 0 9 0 8 0 7 0 6 0 5 0 4 0 3 0 2 0
1 7 5 02 7 5 03 5 0 0 3 0 0 03 2 5 0 2 2 5 02 5 0 0 2 0 0 0 5 0 01 0 0 01 2 5 01 5 0 0 7 5 0 2 5 0 -2 5 0 -5 0 0
H = 1 3 c mb = 6 4 c mL a je
T F D G -D C
P /2P /2
5
4
H
b
-3 0 0 0
In íc io d e f is su ra ç ão
C a rg a d e ru p tu ra
-1 7 5 0-1 2 5 0-1 0 0 0-7 5 0 -1 5 0 0 -2 5 0 0-2 0 0 0 -2 2 5 0 -2 7 5 0 -3 5 0 0-3 2 5 0 ( - )µ st ra in( - )µ st ra in
4 0G A G E 4
C
6 ,4 c m
3 02 0 6 05 0 8 07 0 1 0 09 0 1 1 5 .9
C a rg a (K N )
1 1 9 .3
L .N .
L.N.
C
Cε
2,89‰
2,35‰
5,6cm0,53cm
4,4cm
11cm L.N.
2,89‰
2,35‰
L.N.
L.N.
S
0,53
0,53tmbD
σa
TFDG-MDC
ε
Aa
;2
ambDMDDG
tSF
σ⋅⋅=−
Connectors Shear Loads
- Behaviours
* SLABS BENDING TEST
L.N.
C
C
C
L.N.
C
13cm
3,29‰
0,79‰
ε
6,6cm
1,6cm
L.N. 0,79‰
3,29‰
TFDG-DC
11cm 10cm
ε
6cm
1cmL.N.0,34‰
2,89‰2,08‰
0,34‰
Perimetro tmbD
σc
σd
TFGA-MD
;bbDCDG AF σ⋅=−
.2
+⋅=−d
caMDGA AFσσ
TFDG-MD (60.6KN), TFDG-DC (45.2KN) and TFGA-MD (48,29 KN)
- Behaviours • Research* SLABS BENDING TEST
- Apresentação e analise dos resultados
* FLEXÃO DAS LAJES• Pesquisa
- Analise em regime elástico
60
80
100
120
Mom
ento
KN
m/m
TFDG-DCexp
TFDG-MDexp
TFGA-MDexp
TFDG-MDcal
TFDG-DCcal
0
20
40
60
0 1 2 3
Mom
ento
KN
m/m
Deformação (‰)
TFGA-MDexpTFGA-MDcal
Comparação das curvas Momento –Deformação no concreto dos resultados experimentaise da analise em regime elástico para as lajes TFDG-MD, TFDG-DC e TFGA-MD
· Momentos no estado limite último: 29,5, 16,81, 38,7 KNm/m TFDG-MD, TFGA-MD e TFDG-DC respectivamente
· Relação 2,4, 2,63 e 2,81
- Apresentação e analise dos resultados
* FLEXÃO DAS LAJES• Pesquisa
- Analise em regime plástico
N
ap
ypppacf
fANN
γ==
=
c
ck
cf
fb
Nx
γ85,0
bbtbcf fANN ⋅==c
cf
fb
Nx
⋅=
−=2,
xdNM pcfRdp
· Momentos no estado limite último: 52, 57,22 KNm/m TFDG-MD e TFDG-DC respectivamente
· Relação 1,38, 1,9
- Apresentação e analise dos resultados
* FLEXÃO DAS LAJES• Pesquisa
-Correlação entre os resultados calculados para o momento de ruptura
e os resultados experimentais, referentes aos métodos
elástico e plástico
100
110
10
20
30
40
50
60
70
80
90
100
10 20 30 40 50 60 70 80 90 100 110
M c
alcu
lado
(K
Nm
/m)
M experimental (KNm/m)
DG-MDelastico
DG-MDplastico
DG-DCelastico
DG-DCplastico
GA-MDelastico