PC Carbocomp Calculation Program Release TV 4.
This program is a tool which can help a Professional Structural Engineer to design carbon fibre laminate reinfo
of concrete structures. The calculation of the CFRP is based on the FIB bulletin 14, Externally bonded FRP reinf
for RC structures, and on our best knowledge. It is only valid for our PC CARBOCOMP range of products sinc
into account the specific characteristics of this second generation of CFRP's, and may therefore not be used
types of CFRP's nor for any other products. This program has been reviewed by the Magnel Laboratory for
Research of Ghent University (Belgium). The progam is only a tool, and may not be considered to conduct
calculation of the structure. It is the obligation and responsibility of the Professional Structural Engineer to mak
calculation of the structure in compliance with the codes and regulations of his country, based on his own in
under his own responsibility. The author, writer and owner of this program can not be held responsible for
calculation of the structure, nor for any damage, direct or indirect, resulting from the use of this program.
By using this program the user explicitly accepts this statement.
Name:
Company:
Tradecc
Tradecc
9/24/2015 16:14
Geometry &
Materials
Introduction
Dimensions
600
L: span
500
b: width
400
h: height
300
h': thickness of the slab
beff: working width of the
200
100
aan te passen
-300
-200
-100
100
200
300
-100
Zone A
Material properties
concrete
steel
10
fck
20
20 N/mm
fctm
2.2
2.2 N/mm
Ec
29
29.0 kN/mm
safety factor c
1.5
longitudinal bars fyk
stirrups fyk
Es
safety factor s
eometry &
Materials
Flexural
strengthening
Loading
Shear
strengthening
Results
Dimensions
Internal rebars
1m
bottom rebars
200 mm
diameter
[mm]
number
[-]
11
570
400 mm
h': thickness of the slab
beff: working width of the
Zone A
Zone B
section
[mm]
total:
50 mm
top rebars
500 mm
574
total:
d1: concrete cover bottom rebars
25 mm
d2: concrete cover top rebars
25 mm
Zone A
Stirrups
diameter
[mm]
smooth bars
number section
[legs / m] [mm/m]
400 N/mm
stirrups - zone A
10
196
500 N/mm
stirrups - zone B
402
200 kN/mm
1.15
length of zone A
rebars in tension
for shear calculation
1.0 m
0 mm
1017.189
Tradecc
9/24/2015 16:14
Geometry &
Materials
Introduction
Border specifications
Continuous beam
Take dead load into account (= 2 kN/m - dead load of flanges is not taken int
1
2 =
0.3
2 =
1
Loading before strengthening
permanent
dead load
concentrated load 1
concentrated load 2
concentrated load 3
uniform load
support moment left
support moment right
variable
2.0 kN/m
0.0 kN
5.0 kN
0.0 kN
15.0 kN/m
0.0 kNm
4.0 kNm
dist. from
left support
0.0 kN/m
0.0 kN
0.0 kN
0.0 kN
0.0 kN/m
0.0 kNm
0.0 kNm
0.0 m
0.5 m
0.0 m
1
Results before strengthening
SLS
moment [kNm]
left
max.
right
support
support
(rare load comb.)
0.0
3.4
0.0
shear force [kN]
left
right
support
support
11.0
-11.0
length [m ]
-0.2
0.0
0
10
20
M om ents [k Nm ]
30
40
50
60
70
80
0.2
0.4
0.6
0.8
1.0
1.2
M om ents [k Nm ]
30
40
50
60
70
80
BEFORE STRENGTHENING
TOTAL LOAD (ULS)
TAKEN BY REBARS
Flexural
strengthening
Loading
Shear
strengthening
Results
Load safety factors
_permanent load
1.35
_mobile load
1.5
Loading after strengthening
permanent
dead load
concentrated load 1
concentrated load 2
concentrated load 3
uniform load
support moment left
support moment right
variable
2.0 kN/m
0.0 kN
0.0 kN
4.0 kN
50.0 kN/m
0.0 kNm
4.3 kNm
dist. from
left support
0.0 kN/m
5.0 kN
0.0 kN
0.0 kN
5.0 kN/m
0.0 kNm
1.7 kNm
1.0
0.0
0.5
1
Results after strengthening
left
support
(rare load comb.)
0.0
SLS
SLS
(quasi permanent)
ULS
1.0
moment [kNm]
max.
right
support
8.1
0.0
shear force [kN]
left
support
30.5
0.0
7.7
0.0
28.8
0.0
11.1
0.0
41.6
length [m]
1.2
200
100
Shear forces [kN]
0
-0.2
0.0
-100
-200
0.2
0.4
0.6
0.8
1.0
1.2
BARS
Shear forces [kN]
0
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
-100
-200
BEFORE STRENGTHENING
TOTAL LOAD (ULS)
RESISTANCE
1.2
Results
dist. from
left support
m
m
m
shear force [kN]
right
support
-35.5
-30.3
-49.1
1.0
1.2
1.0
SISTANCE
1.2
Tradecc
9/24/2015 16:14
Geometry &
Materials
Introduction
Strengthened element
600
500
400
300
200
100
0
-300
-200
-100
100
200
300
-100
Type of reinforcement
8
width
effective thickness
100 mm
6 mm
number
safety factor
1.3
tensile strength
235 N/mm
E-modulus
210 kN/mm
0
Specifications
0 use a spacer
1
13.6
10 mm
jack the element to level state before reinforcement
count on rebars after reinforcement
Results in serviceability limit state (SLS)
rare load
quasi permanent
strain
stress
strain
stress
[-]
[N/mm]
[-]
[N/mm]
compr. in concrete
0.0001
0.9
0.0001
0.86
ten. in the rebars
0.0002
39
0.0002
37
ten. in the laminate
0.0001
20
0.0001
18
ok
ok
Deformations (SLS - MRL (creep based on MQP))
initial deflection
0.02 mm
additional deflection
0.04 mm
or
L/27845
total deflection
0.05 mm
or
L/18751
0
0
-0.01
Load in the initial sit. has to be lower than QP-load in final situation (use of 2)
otherwise one receives a final deflection which is lower than the inital one
crack width
0.00 mm
deflection
[m
-0.02
-0.03
-0.04
BIJ TE GROTE SCHEURWIJDTE - Minit CONTROLEREN!!!
-0.05
Positioning of the laminates
-0.06
Axial force in FRP laminates at end
length
1.00 m
left
right
3 kN
3 kN
10
-0.5
moment (ULS)
0
0.0
-10 1
0.5
-20
-30
-40
-50
-60
-70
-80
length [m
-50
-60
-70
-80
length [m
Flexural
strengthening
Loading
Shear
strengthening
Results
Internal strains at maximum moment
(rare load combination)
600
500
400
300
200
100
0
-0.0004
-0.0003
-0.0002
-0.0001
0.0001
0.0002
0.0003
-100
Results in ultimate limit state (ULS)
Msd
ductiliteitseis : = #NAME?
11 kNm
Mrd #NAME? kNm
#NAME?
min. wap. perc. : = 0.0078
Check of debonding risk
left
anchorage length
right
50 cm
50 cm
concrete rip-off
ok
ok
end anchorage failure
ok
ok
peeling at shear cracks
ok
ok
bond failure at flexural cracks
ok
ok
0.0004
take creep into account
in contact with air:
relative humidity
50.0
% (50% = indoor, 80% = outdoor)
Ec(to-) =
7.3
Ec(to-t) =
10.2
age at loading
28
days
(to-) =
2.98
current age
150
days
(to-t) =
1.84
100
% of initial load was
original loading combination
29 % of total creep is obtained in
original loading combination
0
0
0.2
0.4
0.6
0.8
1.2
-0.01
deflection
[mm]
-0.02
-0.03
-0.04
-0.05
-0.06
length
before strengthening
0.5
length [m]
after strengthening
1.0
2
1.5
length [m]
Results
schaal
tekening:
horizontaa
h
a
d
0.0003
400
0
369.5
x0
xe
118.8489
144.0067
eps c0
eps c
4E-005
0.000124
-0.00033
0.000331
-0.00033 255.9933
0.000331 255.9933
-0.00022
0.000124
-0.00033 281.1511
0.000331 281.1511
staal
9E-005
0.000195
eps 0
eps f0
eps f
-0.00033
1E-004
0.000331
1E-004 (beginpositie laminaat)
0.000221 (totale rek)
0.0004
#NAME?
ERROR OCCURED IN THE CALCULATION
ok
CONTACT ECC-ETEC-TRADECC
#NAME?
right
Vmax [kN]
10
10
Nfad [kN]
schuin
-1E-004
4E-005
eps s0
eps s
left
0
0
30.5
30.5
-0.00033
0.000331
37
500
400
400
0
0
0
-0.00019
laminaat
-1E-004
-0.00022
kN/mm
kN/mm
creep is obtained in
ading combination
0.02 -0.00339 -0.00109
0.04 -0.00676 -0.00218
0.06 -0.0101 -0.00326
0.08 -0.0134 -0.00432
0.1 -0.01664 -0.00537
1.2
0.12 -0.01981 -0.00639
0.14 -0.02289 -0.00739
1.5
0.16
0.18
0.2
0.22
0.24
-0.02588 -0.00836
-0.02876 -0.0093
-0.03153 -0.0102
-0.03416 -0.01106
-0.03666 -0.01188
0.26
0.28
0.3
0.32
0.34
0.36
0.38
0.4
0.42
0.44
0.46
0.48
0.5
0.52
0.54
0.56
0.58
0.6
0.62
0.64
0.66
0.68
0.7
0.72
-0.03901
-0.04121
-0.04325
-0.04511
-0.0468
-0.0483
-0.04962
-0.05074
-0.05167
-0.05239
-0.05291
-0.05323
-0.05333
-0.05323
-0.05291
-0.05239
-0.05167
-0.05074
-0.04962
-0.0483
-0.0468
-0.04511
-0.04325
-0.04121
-0.01265
-0.01337
-0.01405
-0.01466
-0.01522
-0.01572
-0.01616
-0.01654
-0.01685
-0.0171
-0.01728
-0.01738
-0.01742
-0.01738
-0.01728
-0.0171
-0.01685
-0.01654
-0.01616
-0.01572
-0.01522
-0.01466
-0.01405
-0.01337
0.74
0.76
0.78
0.8
0.82
0.84
0.86
0.88
0.9
0.92
0.94
0.96
0.98
1
-0.03901
-0.03666
-0.03416
-0.03153
-0.02876
-0.02588
-0.02289
-0.01981
-0.01664
-0.0134
-0.0101
-0.00676
-0.00339
0
-0.01265
-0.01188
-0.01106
-0.0102
-0.0093
-0.00836
-0.00739
-0.00639
-0.00537
-0.00432
-0.00326
-0.00218
-0.00109
0
-10
490
0
400
0
400
30.5
30.5
0
0
Tradecc
9/24/2015 16:14
Geometry &
Materials
Introduction
Properties of carbon or aramid textile
1
equivalent thickness textile
fu
0.125 mm
1821.6 N/mm
240 kN/mm
E
u
Applied shear angle
ZONE A
0.759 %
ZONE B
Prefered angle:
26.6
Prefered angle:
26.6
Applied angle:
28
Applied angle:
28
OK
OK
1
Results
left
right
ZONE A
Maximum shear force
other :
number of layers
Shear capacity in ULS [kN]
42
155.0
kN
kN
1
103
ZONE B
49
200
kN
kN
0
kN
ok
109
42
1
kN
ok
159
ok
Geometry &
Materials
Flexural
strengthening
Loading
Shear
strengthening
Results
Further specifications
anchored under floor plate
0.167 mm
4000 N/mm
250 kN/mm
effective height
1.6 %
other :
350
mm
40
mm
angle of shear reinforcement
Strengthened element
stirrups =
90
tissue =
90
600
500
400
right
NE B
ZONE A
kN
kN
49
300
kN
kN
200
1
kN
ok
103
100
kN
ok
0
-300
-200
-100
-100
100
200
300
tekening
b
beff
h
h'
h weefsel
0
200
300
1
200
500
400
50
350
-110
350
-110 -26.6667
110 -26.6667
110
350
ankers
0
#REF!
0
#REF!
0
0
0
0
0
0
0
0
PC Carbocomp Calculation Program Release TV 4.2
project:
Project name
code:
Project code
element:
Element
description:
Description of the project
calculated by:
company:
Tradecc
attachment - 1
GEOMETRY
600
L: span
1m
b: width
200 mm
h: height
400 mm
1
500
400
300
h': thickness of the slab
50 mm
200
100
0
-300
-200
-100
100
200
300
beff: working width of the slab
500 mm
bottom rebars
574 mm
-100
concrete cover d1:
25 mm
top rebars
0 mm
concrete cover d2:
Zone A
Zone B
Zone A
25 mm
stirrups - zone A
196 mm/m
stirrups - zone B
402 mm/m
MATERIAL PROPERTIES
concrete
Custom concrete
fck :
20 N/mm
Ec :
c :
29.0 kN/mm
1.5
steel:
fyk :
rebars
stirrups
400 N/mm
500 N/mm
Es :
200 kN/mm
200 kN/mm
s :
1.15
Project name
Element
attachment - 2
LOADING
2-factor =
cat A: residential areas
0.3
BEFORE STRENGTHENING
permanent
dead load
AFTER STRENGTHENING
variable
2 kN/m
permanent
0 kN/m
variable
2 kN/m
0 kN/m
concentrated load 1
0 kN
0 kN @ 0 m
0 kN
5 kN @ 1 m
concentrated load 2
5 kN
0 kN @ 0.5 m
0 kN
0 kN @ 0 m
concentrated load 3
0 kN
0 kN @ 0 m
4 kN
0 kN @ 0.5 m
uniform load
15 kN/m
0 kN/m
50 kN/m
5 kN/m
support moment left
0 kN/m
0 kN/m
0 kN/m
0 kN/m
support moment right
0 kN/m
0 kN/m
0 kN/m
0 kN/m
moment [kNm]
left support
SLS (rare load comb.)
max.
0.0
moment [kNm]
right
3.4
left support
0.0
max.
right
0.0
8.1
0.0
SLS (quasi permanent)
0.0
7.7
0.0
ULS
0.0
11.1
0.0
le nght [m ]
-0.2
0.0
0.2
0.4
0.6
0.8
0
10
20
M om ents [k Nm ]
30
40
50
60
70
80
BEFORE STRENGTHENING
steunpunt links
TOTAL LOAD (ULS)
steunpunt rechts
TAKEN BY REBARS
Balk
FLEXURAL STRENGTHENING
type of reinforcement: PC Carbocomp Plus 80 x 1,2 SM
number: 1
width :
80 mm
tensile strength :
eff. thickness :
1.2 mm
E-modulus :
use a spacer of
10 mm
2400 N/mm
160 kN/mm
1.0
1.2
jack the element back to level state
existing rebars are taken into account
Project name
Element
attachment - 3
RESULTS IN ULTIMATE LIMIT STATE
Msd
11 kNm
Mrd #NAME? kNm
#NAME?
check of debonding risk :
ok
left
right
Vmax [kN]
10
10
Nfad [kN]
RESULTS IN SERVICEABILITY LIMIT STATE
Inte rnal strains at m axim um m om ent
(rare load com bination)
Stre nthene d elem ent
600
600
500
500
400
400
300
300
200
200
100
100
0
-300
-200
-100
100
200
-0.0004
300
-100
-0.0003
-0.0002
-0.0001
0.0001
0.0002
0.0003
0.0004
-100
rare load
quasi permanent
strain [-] stress [N/mm]
strain [-] stress [N/mm]
compression in concrete :
0.0001
0.0001
tension in the rebars :
0.0002
39
0.0002
37
tension in the laminates :
0.0001
20
0.0001
18
additional deflection :
0.0 mm or L/27845
(to-) = 2.98 (totally creep coefficient)
(to-t) = 1.84 (already obtained creep coefficient)
total deflection :
0.1 mm or L/18751
29 % of total creep is obtained in orig. phase
initial deflection :
0.0 mm (or measure on site)
crack width :
0.00 mm
10.0
0.0
-0.5
m om e nt (ULS)
1
-10.0 0.0
0.5
-20.0
-30.0
-40.0
-50.0
-60.0
-70.0
-80.0
length [m ]
2
1.0
1.5
-70.0
-80.0
length [m ]
laminate length:
1.00 m
Project name
Element
attachment - 4
SHEAR STRENGTHENING
equivalent thickness textile :
fu :
0.125 mm
28
1821.6 N/mm
E:
eu :
anchored under floor plate ?
applied shear angle
240 kN/mm
0.759 %
NO
left
right
ZONE A
maximum shear force [kN]
ZONE B
42 kN
number of layers of textile
49 kN
effective height [mm]
shear capacity [kN]
ZONE A
42 kN
49 kN
350 mm
350 mm
350 mm
350 mm
103 kN
109 kN
159 kN
103 kN
ok
ok
ok
ok
le ng th [m ]
She ar f or ces [k N]
BEF ORE STRENG THE NING
steunpunt lin ks
TO TAL LO AD (ULS)
steunpunt r echts
RE SIS TANCE
balk
Stre ngthened ele m e nt
600
500
400
300
200
100
0
-300
-200
-100
0
-100
100
200
300
100
0
-300
-200
-100
0
-100
100
200
300