e!k Sla" esign "y
#ohn $e%hook and
Gami Property of ISIS Canada
Please, if you find a mistake s Gamil Tadros E-mail:
[email protected]
Tadros
end the info to:
Tadros
end the info to:
A
B
C
D
1
Steel-&einfor!ed e!k
2
Opti Option on 1. Blac Black k stee steell Opti Option on 2. epox epoxy y stee steell
3
E
F
G
H
I
J
K
L
M
N
O
P
Q
Opti Option on 2 has has same same area area of stee steell but but stee steell will will be epox epoxy y coat coated ed
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37
'aterial Properties
Thi!kness (imits
steel
concrete
E 200,000 Mpa 200,000 Mpa f y #00 M"a "ar properties db desi*nation diameter 'mm( 10M 11.2 1!M 1$.0 20M 1).!
! M"a ! M"a 2$,$22 M"a 2.# M"a
fc Ec f r r
9s area 'mm2( 100 200 00
black epoxy others
tmin 1 /2+ mm co%er
kb 1.0 1.2 1
top, ct bottom, cb
min. layer separation top trans. trans. bar dia. + bot bot tran trans s. bar bar dia. dia. + tmin geometry 1
&0 !0
mm mm
!!
mm
1$.0 1$.0 1$.0 1$.0
mm mm
20&
mm
tmin 1 Sg 3 /4 =* tmin 'mm( 'mm( 2,)00 1$1 2,)00 1$1 2,)00 1$1 1!M 1!M
bar sie bar sie
Empiri!al esign ρ 1 0.003 initial sele!tions *irder deck se s elect bar dia. spacin* thickness bot. trans. db 'mm( 'mm( bar sie 'mm( 2,)00 1! 1!M 1$ **+ 2,)00 1! 1!M 1$ **+ 2,)00 **+ 1! 1!M 1$
aunch 'mm( 20
3 4lan*e 'mm( #0
38
d 'mm( 1$& 1$& 1$&
re-d. pick bar 9s 'mm2/m( sie !01 1!M !01 1!M !01 1!M
*irder spacin* 'mm( 2,)00 2,)00 2,)00
re-d. 9s pick bar 'mm2/m( sie !01 1!M !01 1!M !01 1!M
"ottom reinfor!ement layer trans)erse "ars longitudinal "ars bar area re-d bar pick bar ac actual bar area re-d bar pick bar actual spacin* spacin*, s pick bar spacin* spacin*, s 9 s 9s 9 s 9s ' mm mm2( 'mm( 'mm( 'mm2/m( sie 'm 'mm2( 'mm( 'mm( 'mm2/m( 2 20 00 )) 00 $$& 1!M 200 )) 00 $$& 2 20 00 )) 2!0 00 1!M 200 )) 2!0 00 2 20 00 )) 200 1,000 1!M 200 )) 200 1,000 top reinfor!ement layer trans)erse "ars longitudinal "ars bar area re-d bar pick bar ac actual bar area re-d bar pick bar actual 9 s spacin* spacin*, s 9s pick bar 9 s spacin* spacin*, s 9s ' mm mm2( 'mm( 'mm( 'mm2/m( sie 'm 'mm2( 'mm( 'mm( 'mm2/m( 2 20 00 )) 00 $$& 1!M 200 )) 00 $$& 2 20 00 )) 2!0 00 1!M 200 )) 2!0 00 2 20 00 )) 200 1,000 1!M 200 )) 200 1,000
39 40 41 42 43 44 45 46 47 48
49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77
Cra!k idth Che!k wheel load
1#1.12
*irder spacin* 'm( 2.)
moment Ms 'k
k deck t 'mm( mm( 22!
dead load k/m li)e concrete 2#.! 20 k/m load asphalt crackin* wheel deck asphalt udl thickness udl Mcr Ms Mdeck Mdeck 'k< 'k
A
B
C
D
E
F
G
H
2.) 2.)
#2.) #2.)
22! 22!
20.0 20.0
).! ).!
!.! !.!
2.) 2.)
+ +
I
J
1. 1.0 1. 1.0
0.! 0.!
K
5ruck 67 879 :heel 4actor
00 . ./ .0
k
L
M
N
O
P
db 'mm( 1$ 1$ 1$
=rm
@c
w 'mm( .55 .4 .6*
limit 'mm( .* + .* + .* +
; of 5ruck
"ottom trans)erse "ars
cracked section properties *irder spacin* 'm( 2.) 2.) 2.)
bar sie 1!M 1!M 1!M
spacin* 'mm( 00 2!0 200
area 9s 'mm2( $$& 00 1,000
d 'mm( 1$& 1$& 1$&
ρ
0.00#0 0.00# 0.00$0
E s 'M"a( 200,000 200,000 200,000
modular ratio n &.! &.! &.!
k 0.21& 0.2! 0.2!
> 0.)2 0.)22 0.)1#
9b 'mm2( 200 200 200
crack width calculations
h2 'mm( 1) 1$ 12
2.!c1 'mm( 1#! 1#! 1#!
dct h2/ 'mm( $ $2 $1
lessor 'mm( $ $2 $1
9ct 'mm2( 1,0 1!,## 12,12#
stresses crackin* =7= f w f s 'M"a( 'M"a( 1) #1$ 1$2 #) 11 21
εsm
0. 0.001$2) 0. 0.001$$ 0. 0.001102
kb
kc
1.0 1.0 1.0
0.! 0.! 0.!
ρc
0.010$ 0.012) 0.01$!
top trans)erse "ars
cracked section properties *irder spacin* 'm(
bar sie
spacin* 'mm(
area 9s 'mm2(
d 'mm(
ρ
s E 'M"a(
modular ratio n
k
>
9b 'mm2(
2) 20! 1&1
1.& 1.& 1.&
Q
49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90
A
B
C
D
E
F
G
H
2.) 2.)
#2.) #2.)
22! 22!
20.0 20.0
).! ).!
!.! !.!
2.) 2.)
+ +
I
J
1. 1.0 1. 1.0
0.! 0.!
K
L
M
N
O
P
db 'mm( 1$ 1$ 1$
=rm
@c
w 'mm( .55 .4 .6*
limit 'mm( .* + .* + .* +
limit 'mm( .* + .* + .* +
P
Q
"ottom trans)erse "ars
cracked section properties *irder spacin* 'm( 2.) 2.) 2.)
bar sie 1!M 1!M 1!M
spacin* 'mm( 00 2!0 200
area 9s 'mm2( $$& 00 1,000
d 'mm( 1$& 1$& 1$&
ρ
0.00#0 0.00# 0.00$0
E s 'M"a( 200,000 200,000 200,000
modular ratio n &.! &.! &.!
k 0.21& 0.2! 0.2!
> 0.)2 0.)22 0.)1#
9b 'mm2( 200 200 200
crack width calculations
h2 'mm( 1) 1$ 12
dct h2/ 'mm( $ $2 $1
2.!c1 'mm( 1#! 1#! 1#!
lessor 'mm( $ $2 $1
9ct 'mm2( 1,0 1!,## 12,12#
stresses crackin* =7= f w f s 'M"a( 'M"a( 1) #1$ 1$2 #) 11 21
εsm
0. 0.001$2) 0. 0.001$$ 0. 0.001102
kb
kc
1.0 1.0 1.0
0.! 0.! 0.!
ρc
0.010$ 0.012) 0.01$!
2) 20! 1&1
1.& 1.& 1.&
top trans)erse "ars
cracked section properties *irder spacin* 'm( 2.) 2.) 2.)
bar sie 1!M 1!M 1!M
spacin* 'mm( 00 2!0 200
area 9s 'mm2( $$& 00 1000
d 'mm( 20& 20& 20&
ρ
0.002 0.00) 0.00#
s E 'M"a( 200,000 200,000 200,000
modular ratio n &.! &.! &.!
k 0.1)& 0.21# 0.2$
> 0.)# 0.)2) 0.)21
9b 'mm2( 200 200 200
crack width calculations
h2 'mm( 2## 2#1 2$
2.!c1 'mm( #! #! #!
dct h2/ 'mm( 1 0 &)
lessor 'mm( #! #! #!
9ct 'mm2( 1,!00 11,2!0 ),000
stresses crackin* =7= f w f s 'M"a( 'M"a( 1!! 10 2&) 10! 22!
kb
kc
0. 0.0010! 0. 0.0010)# 0. 0.0002
1.0 1.0 1. 1 .0
0.! 0.! 0.!
0.01# 0.01& 0.0222
db 'mm( 1$ 1$ 1$
H
I
J
K
L
εsm
ρc
=rm
@c
1! 1$ 1#0
1.& 1.& 1.&
w 'mm( ./ .6 .*/
M
N
O
91 92 93 94
esign Summary
95 96
7ption / 8la!k Steel ?einforcement
97
A
B
98 99 100 101 102 103 104
Airder =pacin* 'mm( 2,)00 2,)00 2,)00
8eck 5h 5hickness 'mm( 22! 22! 22!
C
D
E
F
G
black steel Top Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
black steel Top (ong. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
black steel 8ottom (ong. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
black steel 8ottom Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
Cra!k idth 5op Bottom 'mm( 'mm( 0.#1 0.$$ 0.0 0.# 0.21 0.2
epoxy steel Top Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
?einforcement epoxy steel epoxy steel Top (ong. 8ottom (ong. =ie =pacin* =ie =pacin* 'mm( 'mm( 1!M 00 1!M 00 1!M 2!0 1!M 2!0 1!M 200 1!M 200
epoxy steel 8ottom Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
Cra!k idth 5op Bottom 'mm( 'mm( 0.#) 0.&) 0.$ 0.!& 0.2! 0.)
105 106 107
7ption * Epo9y Steel
108 109 110 111 112 113 114 115 116
Airder =pacin* 'mm( 2,)00 2,)00 2,)00
8eck 5h 5hickness 'mm( 22! 22! 22!
Q
A
B
98 99 100 101 102 103 104
Airder =pacin* 'mm( 2,)00 2,)00 2,)00
8eck 5h 5hickness 'mm( 22! 22! 22!
C
D
E
F
G
H
I
J
K
L
black steel Top Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
black steel Top (ong. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
black steel 8ottom (ong. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
black steel 8ottom Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
Cra!k idth 5op Bottom 'mm( 'mm( 0.#1 0.$$ 0.0 0.# 0.21 0.2
epoxy steel Top Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
?einforcement epoxy steel epoxy steel Top (ong. 8ottom (ong. =ie =pacin* =ie =pacin* 'mm( 'mm( 1!M 00 1!M 00 1!M 2!0 1!M 2!0 1!M 200 1!M 200
epoxy steel 8ottom Trans. =ie =pacin* 'mm( 1!M 00 1!M 2!0 1!M 200
Cra!k idth 5op Bottom 'mm( 'mm( 0.#) 0.&) 0.$ 0.!& 0.2! 0.)
M
N
O
P
Q
105 106 107
7ption * Epo9y Steel
108 109 110 111 112 113 114 115
Airder =pacin* 'mm( 2,)00 2,)00 2,)00
8eck 5h 5hickness 'mm( 22! 22! 22!
116
G&P-&einfor!ed e!k Option . all A4?"
'aterial Properties
Thi!kne
GFRP - V-Rod
concrete
E #200 Mpa 'lowest( f 4?"u $00 Mpa 'lowest( G&P "ar properties db desi*nation diameter 'mm( ).! # 12 &
9f area 'mm2( &1 12&
fc Ec f r
! M"a 2$,$22 M"a 2.# M"a
tmin 1 /2+
co%er
min. layer top trans. bot trans.
G&P-&einfor!ed e!k Option . all A4?"
'aterial Properties
Thi!kne
GFRP - V-Rod
concrete
E #200 Mpa 'lowest( f 4?"u $00 Mpa 'lowest( G&P "ar properties db desi*nation diameter 'mm( ).! # 12.& ! 1!.) $ 1).1 2!.#
fc Ec f r
! M"a 2$,$22 M"a 2.# M"a
9f area 'mm2( &1 12& 1) 2! !0&
tmin 1 /2+
co%er
min. layer top trans. bot trans. tmin g
Empiri!al esign initial sele!tions *irder deck select bar dia. spacin* thickness bot. trans. db 'mm( 'mm( bar sie 'mm( /2+ 2,)00 $ 1).1 /2+ 2,)00 $ 1).1 /2+ 2,)00 $ 1).1
aunch 'mm( 20
3 4lan*e 'mm( #0
ds 'mm( 10 10 10
trans)erse "ars ;+ re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( 1!10 $ 2! 1) 1!10 $ 2! 1) 1!10 $ 2! 1)
*irder spacin* 'mm( 2)00 2)00 2)00
trans)erse "ars ;< re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( #!& $ 2! $2# #!& $ 2! $2# #!& $ 2! $2#
Cra!k idth Che!k wheel load
1#1.12
*irder spacin* 'm(
moment Ms 'k
k deck t 'mm(
dead load 2.! k/m 20 k/m
li)e concrete load asphalt crackin* wheel deck asphalt Mcr Ms udl Mdeck thickness udl 'k
2.) 2.) 2.)
#2.2 #2.2 #2.2
1&! 1&! 1&!
12.1 12.1 12.1
).!1$ ).!1$ ).!1$
#.1 #.1 #.1
2.2 2.2 2.2
+ + +
1.0 1.0 1.0
"ottom trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 1!1 1!0 1#
bar sie $ $ $
h1 'mm( 10& 10! 10#
spacin* 'mm( 1&! 1!0 1!
h2/h1 'mm( 1.# 1.# 1.#
area 9f 'mm2( 1,$2) 1,)00 2,111
d 'mm( 10 10 10
db 'mm( 1).1 1).1 1).1
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( *// /+ #! /4* /+ #! /5 /+ #!
ρ
0.012! 0.01#$ 0.01$2
E 4?" 'M"a( #,200 #,200 #,200
modular ratio n 1.$ 1.$ 1.$
kb 0. 0. 0.
k 0.12 0.1)! 0.20#
w 'mm( /.0 .4 .2
top trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 20! 20# 202
bar sie $ $ $
h1 'mm( 1$0 1!) 1!
esign Summary
spacin* 'mm( 1&! 1!0 1!
h2/h1 'mm( 1. 1. 1.
area 9f 'mm2( 1,$2) 1,)00 2,111
d 'mm( 200 1)0 1)0
db 'mm( 1).1 1).1 1).1
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( /65 /+ #! /*6 /+ #! /// /+ #!
ρ
0.001 0.0100 0.0111
E 4?" 'M"a( #,200 #,200 #,200
modular ratio n 1.$ 1.$ 1.$
kb 0. 0. 0.
k 0.1!0 0.1$# 0.1&
w 'mm( .56 .+/ .6
7ption 6 >ll G&P ?einforcement Airder =pacin* 'mm( 2,)00 2,)00 2,)00
8eck 5hickness 'mm( 1&! 1&! 1&!
A4?" Top Trans. =ie =pacin* 'mm( $ 1&! $ 1!0 $ 1!
A4?" Top (ong. =ie =pacin* 'mm( # 2&! # 2&! # 2&!
A4?" 8ottom (ong. =ie =pacin* 'mm( # 2&! # 2&! # 2&!
A4 8ottom =ie $ $ $
s (imits mm
top, ct bottom, cb
! !
mm mm
eparation
!!
mm
ar dia. + ar dia. +
1).1 1).1
mm mm
eometry 1
1$.1
mm
"ottom reinfor!ement layer ds 3E&P= pick bar actual spacin*, s 9f pick bar 'mm( 'mm2/m( sie 1&! 1,$2) # 1!0 1,)00 # 1! 2,111 # top reinfor!ement layer .6+= pick bar actual spacin*, s 9f pick bar 'mm( 'mm2/m( sie 1&! 1,$2) # 1!0 1,)00 # 1! 2,111 #
5ruck 67 879 :heel 4actor Mdeck 'k
tmin 1 Sg 3 /4 =* tmin 'mm( 'mm( 2,)00 1$1 2,)00 1$1 2,)00 1$1
$ $
bar sie bar sie
longitudinal "ars ; ρ 1 .6+= bar area re-d bar pick bar actual 9 f spacin* spacin*, s 9f 'mm2( 'mm( 'mm( 'mm2/m( 12& 2&& 2&! #$1 12& 2&& 2&! #$1 12& 2&& 2&! #$1 longitudinal "ars ;< 1 .6+= bar area re-d bar pick bar actual 9 f spacin* spacin*, s 9f 'mm2( 'mm( 'mm( 'mm2/m( 12& 2&& 2&! #$1 12& 2&& 2&! #$1 12& 2&& 2&! #$1
00 . ./ .0
k ; of 5ruck
0.! 0.! 0.!
> 0.)) 0.)! 0.)2
limit 'mm( .+ .+ .+
> 0.)!0 0.)#! 0.)#2
limit 'mm( .+ .+ .+
?" Trans. =pacin* 'mm( 1&! 1!0 1!
Cra!k idth 5op Bottom 'mm( 'mm( 0.$ 1.0) 0.!1 0.# 0.# 0.&0
C&P-&einfor!ed e!k Option #. all 64?"
'aterial Properties
Thi!kne
CFRP - Aslan 200
concrete
E 12#000 Mpa 'lowest( f 4?"u 20$ Mpa 'lowest( C&P "ar properties db desi*nation diameter 'mm( 2 $.0 ).0 # 12.0
fc Ec f r
! M"a 2$$22 M"a 2.# M"a
9f area 'mm2( 0 $! 10
tmin 1 /2+
co%er
min. layer top trans. bot trans. tmin g
Empiri!al esign initial sele!tions *irder deck select bar dia. spacin* thickness bot. trans. db 'mm( 'mm( bar sie 'mm( /2+ 2)00 # 12.0 /2+ 2)00 # 12.0 /2+ 2)00 # 12.0
aunch 'mm( 20
3 4lan*e 'mm( #0
ds 'mm( 1# 1# 1#
trans)erse "ars ;+ re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( !#0 # 10 200 !#0 # 10 200 !#0 # 10 200
*irder spacin* 'mm( 2)00 2)00 2)00
trans)erse "ars ;< re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( #$) # 10 21 #$) # 10 21 #$) # 10 21
Cra!k idth Che!k wheel load
1#1.12
*irder spacin* 'm(
moment Ms 'k
k deck t 'mm(
dead load 2.! k/m 20 k/m
li)e concrete load asphalt crackin* wheel deck asphalt Mcr Ms udl Mdeck thickness udl 'k
2.) 2.) 2.)
#2.2 #2.2 #2.2
1&! 1&! 1&!
12.1 12.1 12.1
).!1$ ).!1$ ).!1$
#.1 #.1 #.1
2.2 2.2 2.2
+ + +
1.0 1.0 1.0
"ottom trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 1!1 1!0 1#
bar sie # # #
h1 'mm( 110 10) 10&
spacin* 'mm( 1! 1&0 1!0
h2/h1 'mm( 1.# 1.# 1.#
area 9f 'mm2( !! $& &22
d 'mm( 1# 1# 1#
db 'mm( 12.0 12.0 12.0
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( +26 /6.* #1 +*4 /6.* #1 52 /6.* #1
ρ
0.00## 0.00# 0.00!#
modular E 4?" ratio 'M"a( n 12#000 #.& 12#000 #.& 12#000 #.&
kb 0. 0. 0.
k 0.12 0.1) 0.200
w 'mm( /.6 .40 .2/
top trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 20# 202 1))
bar sie # # #
h1 'mm( 1$ 1$1 1!
esign Summary
spacin* 'mm( 1&! 1!0 12!
h2/h1 'mm( 1. 1. 1.
area 9f 'mm2( $1) &22 $$
d 'mm( 200 1)# 1)#
db 'mm( 12.0 12.0 12.0
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( 65 /6.* #1 6/0 /6.* #1 *54 /6.* #1
ρ
0.001 0.00& 0.00#!
modular E 4?" ratio 'M"a( n 12#000 #.& 12#000 #.& 12#000 #.&
kb 0. 0. 0.
k 0.1!$ 0.1&0 0.1#
w 'mm( .+5 . .6*
7ption >ll C&P ?einforcement Airder =pacin* 'mm( 2)00 2)00 2)00
8eck 5hickness 'mm( 1&! 1&! 1&!
64?" Top Trans. =ie =pacin* 'mm( # 1&! # 1!0 # 12!
64?" Top (ong. =ie =pacin* 'mm( # 22! # 22! # 22!
64?" 8ottom (ong. =ie =pacin* 'mm( # 22! # 22! # 22!
64 8ottom =ie # # #
s (imits mm
top, ct bottom, cb
! !
mm mm
eparation
!!
mm
ar dia. + ar dia. +
12.0 12.0
mm mm
eometry 1
1#)
mm
"ottom reinfor!ement layer ds 3E&P= pick bar actual spacin*, s 9f pick bar 'mm( 'mm2/m( sie 1! !! # 1&0 $& # 1!0 &22 # top reinfor!ement layer .6+= pick bar actual spacin*, s 9f pick bar 'mm( 'mm2/m( sie 1&! $1) # 1!0 &22 # 12! $$ #
5ruck 67 879 :heel 4actor Mdeck 'k
tmin 1 Sg 3 /4 =* tmin 'mm( 'mm( 2)00 1$1 2)00 1$1 2)00 1$1
# #
bar sie bar sie
longitudinal "ars ; ρ 1 .6+= bar area re-d bar pick bar actual 9 f spacin* spacin*, s 9f 'mm2( 'mm( 'mm( 'mm2/m( 10 21 22! #1 10 21 22! #1 10 21 22! #1 longitudinal "ars ;< 1 .6+= bar area re-d bar pick bar actual 9 f spacin* spacin*, s 9f 'mm2( 'mm( 'mm( 'mm2/m( 10 21 22! #1 10 21 22! #1 10 21 22! #1
00 . ./ .0
k ; of 5ruck
0.! 0.! 0.!
> 0.)) 0.)& 0.)
limit 'mm( .+ .+ .+
> 0.)# 0.)# 0.))
limit 'mm( .+ .+ .+
?" Trans. =pacin* 'mm( 1! 1&0 1!0
Cra!k idth 5op Bottom 'mm( 'mm( 0.!$ 1.0 0.## 0.) 0.2 0.&1
&P-?y"rid &einfor!ed e!k Option !. 64?" bottom trans%erse, A4?" elsewhere
'aterial Properties
Thi!kne
CFRP - Aslan 200
concrete
E 12#000 Mpa 'lowest( f 4?"u 20$ Mpa 'lowest( G&P "ar properties db desi*nation diameter 'mm( 2 $.0 ).0 # 12.0
9f area 'mm2( 0 $! 10
fc Ec f r
! M"a 2$$22 M"a 2.# M"a
tmin 1 /2+
oteC A4?" properties are taken from Option sheet
min. layer
co%er
top trans. bot trans. tmin g
Empiri!al esign initial sele!tions *irder deck select bar dia. spacin* thickness bot. trans. db 'mm( 'mm( bar sie 'mm( /2+ 2)00 # 12.0 /2+ 2)00 # 12.0 /2+ 2)00 # 12.0
aunch 'mm( 20
3 4lan*e 'mm( #0
ds 'mm( 1# 1# 1#
C&P trans)erse "ars re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( !#0 # 10 200 !#0 # 10 200 !#0 # 10 200
*irder spacin* 'mm( 2)00 2)00 2)00
G&P trans)erse "ars re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( #$) $ 2! $0 #$) $ 2! $0 #$) $ 2! $0
Cra!k idth Che!k wheel load
1#1.12
*irder spacin* 'm(
moment Ms 'k
k deck t 'mm(
dead load 2.! k/m 20 k/m
li)e concrete load asphalt crackin* wheel deck asphalt Mcr Ms udl Mdeck thickness udl 'k
2.) 2.) 2.)
#2.2 #2.2 #2.2
1&! 1&! 1&!
12.1 12.1 12.1
).!1$ ).!1$ ).!1$
#.1 #.1 #.1
2.2 2.2 2.2
+ + +
1.0 1.0 1.0
C&P "ottom trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 1!1 1!0 1#
bar sie # # #
h1 'mm( 110 10) 10&
spacin* 'mm( 1! 1&0 1!0
h2/h1 'mm( 1.# 1.# 1.#
area 9f 'mm2( !! $& &22
d 'mm( 1# 1# 1#
db 'mm( 12.0 12.0 12.0
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( +26 /6.* #1 +*4 /6.* #1 52 /6.* #1
ρ
0.00## 0.00# 0.00!#
modular E 4?" ratio 'M"a( n 12#000 #.& 12#000 #.& 12#000 #.&
kb 0. 0. 0.
k 0.12 0.1) 0.200
w 'mm( /.6 .40 .2/
G&P top trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 20! 20# 202
bar sie $ $ $
h1 'mm( 1$0 1!) 1!
esign Summary
spacin* 'mm( 1&! 1!0 1!
h2/h1 'mm( 1. 1. 1.
area 9f 'mm2( 1$2) 1)00 2111
d 'mm( 200 1)0 1)0
db 'mm( 1).1 1).1 1).1
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( /65 /+ #! /*6 /+ #! /// /+ #!
ρ
0.001 0.0100 0.0111
E 4?" 'M"a( #200 #200 #200
modular ratio n 1.$ 1.$ 1.$
kb 0. 0. 0.
k 0.1!0 0.1$# 0.1&
w 'mm( .56 .+/ .6
7ption + &P- ?y"rid ?einforcement Airder =pacin* 'mm( 2)00 2)00 2)00
8eck 5hickness 'mm( 1&! 1&! 1&!
A4?" Top Trans. =ie =pacin* 'mm( $ 1&! $ 1!0 $ 1!
A4?" Top (ong. =ie =pacin* 'mm( # 2&0 # 2&0 # 2&0
A4?" 8ottom (ong. =ie =pacin* 'mm( # 2&0 # 2&0 # 2&0
64 8ottom =ie # # #
s (imits mm
top, ct bottom, cb
! !
mm mm
eparation
!!
mm
1).1 12.0
mm mm
1!$.0!
mm
ar dia. + ar dia. + eometry 1
tmin 1 Sg 3 /4 =* tmin 'mm( 'mm( 2)00 1$1 2)00 1$1 2)00 1$1
$ #
A4?" 64?"
"ottom reinfor!ement layer G&P longitudinal "ars ;ρ 1 .6+= ;+ds 3E&P= pick bar actual bar area re-d bar pick bar actual spacin*, s 9f pick bar 9 f spacin* spacin*, s 9f 'mm( 'mm2/m( sie 'mm2( 'mm( 'mm( 'mm2/m( 1! !! # 12& 2&0 2&0 #$) 1&0 $& # 12& 2&0 2&0 #$) 1!0 &22 # 12& 2&0 2&0 #$) top reinfor!ement layer ;< 1 .6+= G&P longitudinal "ars ;< 1 .6+= pick bar actual bar area re-d bar pick bar actual spacin*, s 9f pick bar 9 f spacin* spacin*, s 9f 'mm( 'mm2/m( sie 'mm2( 'mm( 'mm( 'mm2/m( 1&! 1$2) # 12& 2&0 2&0 #$) 1!0 1)00 # 12& 2&0 2&0 #$) 1! 2111 # 12& 2&0 2&0 #$)
5ruck 67 879 :heel 4actor Mdeck 'k
00 . ./ .0
k ; of 5ruck
0.! 0.! 0.!
> 0.)) 0.)& 0.)
limit 'mm( .+ .+ .+
> 0.)!0 0.)#! 0.)#2
limit 'mm( .+ .+ .+
?" Trans. =pacin* 'mm( 1! 1&0 1!0
Cra!k idth 5op Bottom 'mm( 'mm( 0.$ 1.0 0.!1 0.) 0.# 0.&1
Steel -&P ?y"rid &einfor!ed e!k Option $. =teel bottom layer, A4?" top layer
'aterial Properties
Thi!kne
steel
concrete
E 200000 Mpa f y #00 M"a
fc Ec f r
! M"a 2$$22 M"a 2.# M"a
tmin 1 /2+
oteC A4?" properties are taken from Option sheet
min. layer
co%er
"ar properties
db desi*nation diameter 'mm( 10M 11.2 1!M 1$.0 20M 1).!
9s area 'mm2( 100 200 00
top trans. bot trans. tmin g
Empiri!al esign ρ 1
0.003
initial sele!tions *irder deck select bar dia. spacin* thickness bot. trans. db 'mm( 'mm( bar sie 'mm( * 2,)00 1!M 1$ * 2,)00 1!M 1$ * 2,)00 1!M 1$
aunch 'mm( 20
d 'mm( 1#2 1#2 1#2
*irder spacin* 'mm( 2,)00 2,)00 2,)00
3 4lan*e 'mm( #0
re-d. 9s pick bar 'mm2/m( sie #2$ 1!M #2$ 1!M #2$ 1!M
trans)erse " bar area re-d bar 9 s spacin* 'mm2( 'mm( 200 #$) 200 #$) 200 #$)
G&P trans)erse "ars re-d. bar area re-d bar 9f pick bar 9 f spacin* 'mm2/m( sie 'mm2( 'mm( #)& $ 2! !& #)& $ 2! !& #)& $ 2! !&
Cra!k idth Che!k wheel load
1#1.12
*irder spacin* 'm(
moment Ms 'k
k deck t 'mm(
dead load 2.! k/m 20 k/m
li)e concrete load asphalt crackin* wheel deck asphalt Mcr Ms udl Mdeck thickness udl 'k
2.) 2.) 2.)
#2.! #2.! #2.!
200 200 200
1!. 1!. 1!.
).!1$ ).!1$ ).!1$
#.& #.& #.&
2.! 2.! 2.!
+ + +
1.0 1.0 1.0
"ottom trans)er
cracked section properties *irder spacin* 'm( 2.) 2.) 2.)
bar sie 1!M 1!M 1!M
spacin* 'mm( 2!0 2!0 22!
area 9s 'mm2( 00 00 )
d 'mm( 1#2 1#2 1#2
ρ
0.00!$ 0.00!$ 0.00$
modular E s ratio 'M"a( n 200000 &.! 200000 &.! 200000 &.!
k 0.2!2 0.2!2 0.2$
crack width calcu
h2 'mm( 1$# 1$# 1$
2.!c1 'mm( 1#! 1#! 1#!
dct h2/ 'mm( !! !! !#
lessor 'mm( !! !! !#
9ct 'mm2( 1$ 1$ 121)&
stresses crackin* =7= f w f s 'M"a( 'M"a( 1!2 #0 1!2 #0 1& $)
εsm
kb
0.001&$1 0.001&$1 0.001!)2
1 1 1
G&P top trans)erse "ars cracked section properties
*irder spacin* 'm( 2.) 2.) 2.)
h2 'mm( 20 20 22
bar sie $ $ $
h1 'mm( 1! 1! 1
esign Summary
spacin* 'mm( 200 1! 1$!
h2/h1 'mm( 1.2 1.2 1.2
area 9f 'mm2( 1#2! 1!#1 1&2&
d 'mm( 22! 21! 21!
db 'mm( 1).1 1).1 1).1
crack width calculations =7= dc f 4?" f 4?",max 'mm( 'M"a( 'Mpa( /60 /+ #! /6 /+ #! /* /+ #!
ρ
0.00$ 0.00&1 0.000
E 4?" 'M"a( #200 #200 #200
modular ratio n 1.$ 1.$ 1.$
kb 0. 0. 0.
k 0.1 0.1#1 0.1#)
w 'mm( .2 .56 .+*
7ption 5 Steel-&P ?y"rid
Airder =pacin* 'mm( 2)00 2)00 2)00
8eck 5hickness 'mm( 200 200 200
A4?" Top Trans. =ie =pacin* 'mm( $ 200 $ 1! $ 1$!
?einforcement A4?" black steel Top (ong. 8ottom (ong. =ie =pacin* =ie =pacin* 'mm( 'mm( # 22! 1!M 00 # 22! 1!M 00 # 22! 1!M 00
black 8ottom =ie 1!M 1!M 1!M
s (imits mm
top, ct bottom, cb
! !0
mm mm
eparation
!!
mm
1).1 1).!
mm mm
1&.!!
mm
ar dia. + ar dia. + eometry 1
tmin 1 Sg 3 /4 =* tmin 'mm( 'mm( 2)00 1$1 2)00 1$1 2)00 1$1
$ 20M
bar sie bar sie
teel "ottom reinfor!ement layer rs longitudinal "ars pick bar actual bar area re-d bar pick bar actual spacin*, s 9s pick bar 9 s spacin* spacin*, s 9s 'mm( 'mm2/m( sie 'mm2( 'mm( 'mm( 'mm2/m( 2!0 00 1!M 200 #$) 00 $$& 2!0 00 1!M 200 #$) 00 $$& 22! ) 1!M 200 #$) 00 $$& top reinfor!ement layer ;< 1 .6+= G&P longitudinal "ars ;< 1 .6+= pick bar actual bar area re-d bar pick bar actual spacin*, s 9f pick bar 9 f spacin* spacin*, s 9f 'mm( 'mm2/m( sie 'mm2( 'mm( 'mm( 'mm2/m( 200 1#2! # 12& 2!! 22! !$ 1! 1!#1 # 12& 2!! 22! !$ 1$! 1&2& # 12& 2!! 22! !$
5ruck 67 879 :heel 4actor Mdeck 'k
00 . ./ .0
k ; of 5ruck
0.! 0.! 0.!
e "ars
> 0.)1$ 0.)1$ 0.)12
9b 'mm2( 200 200 200
lations
kc
ρc
0.! 0.! 0.!
0.01#$ 0.01#$ 0.01$#
> 0.)!$ 0.)! 0.)!0
limit 'mm( .+ .+ .+
db 'mm( 1$ 1$ 1$
=rm
@c
1& 1& 1&2
1.& 1.& 1.&
w 'mm( .+5 .+5 .2
limit 'mm( .*+ .*+ .*+
steel Trans. =pacin* 'mm( 2!0 2!0 22!
Cra!k idth 5op Bottom 'mm( 'mm( 0.&0 0.!$ 0.$ 0.!$ 0.!2 0.#&
E9ternally &estrained e!k Option &. A4?" crack control, steel straps
'aterial Properties
Thi!kne
GFRP - V-Rod
concrete
E #200 Mpa 'lowest( f 4?"u $00 Mpa 'lowest( G&P "ar properties db desi*nation diameter 'mm( ).! # 12.& ! 1!.) $ 1).1 2!.#
9f area 'mm2( &1 12& 1) 2! !0&
fc Ec f r
! M"a 2$$22 M"a 2.# M"a
tmin 1 /2+ tmin g
=teel =traps E 200,000 Mpa f y #00 M"a
Empiri!al esign
*irder deck strap spacin* thickness spacin* 'mm( 'mm( 'mm( /2+ 1 ,200 2,)00 /2+ 1 ,200 2,)00 * 1 ,200 2,)00
Strap Sele!tion strap dimensions 9s thickness width re-d. 'mm2( 'mm( 'mm( 1&0 2! $) 1&0 2! $) 1!1# 2! $1
G&P
width 'mm( ! !! $!
esign Summary 7ption 2 E9ternally &estrained Airder =pacin* 'mm( 2,)00 2,)00 2,)00
Straps 8eck 5hickness thickness x width 'mm( 'mm( 'mm( 1&! 2! ! 1&! 2! !! 200 2! $!
spacin* 'mm( 1,200 1,200 1,200
G&P =ie =pacin* 'mm( # 00 # 00 # 00
re-d. 9s pick bar 'mm2/m( sie 2$ # 2$ # 00 #
s (imits mm eometry 1
1&!
mm
tmin 1 Sg 3 /+ =* tmin 'mm( 'mm( 2,)00 1) 2,)00 1) 2,)00 1)
ra!k Control &einfor!ement bar area re-d bar pick bar actual 9f spacin* spacin*, s 9f 'mm2( 'mm( 'mm( 'mm2/m( 12& # 00 #22 12& # 00 #22 12& #22 00 #22
=ummary of 8esi*n Options Girder Spa!ing
Option / * 6 + 5
2
8escription "la!k steel epo9y steel G&P C&P G&P3C&P G&P3steel
e9ternally restrained
Girder Spa!ing
Option / * 6 + 5
2
8escription "la!k steel epo9y steel G&P C&P G&P3C&P G&P3steel
e9ternally restrained
Girder Spa!ing
*0 8eck 5hickness 'mm( 22! 22! 1&! 1&! 1&! 200
1&!
*0
8eck 5hickness 'mm( 22! 22! 1&! 1&! 1&! 200
1&!
*0
8eck 5hickness
mm
Top Trans. =ie =pacin* 'mm( 'mm( 1!M 00 1!M 00 $ 1&! # 1&! $ 1&! $ 200
#
00
?einforcement Top (ong. 8ottom =ie =pacin* =ie 'mm( 'mm( 'mm( 1!M 00 1!M 1!M 00 1!M # 2&! # # 22! # # 2&0 # # 22! 1!M
#
00
thickness 'mm( 2!
mm
Top Trans. =ie =pacin* 'mm( 'mm( 1!M 2!0 1!M 2!0 $ 1!0 # 1!0 $ 1!0 $ 1!
#
00
?einforcement Top (ong. 8ottom =ie =pacin* =ie 'mm( 'mm( 'mm( 1!M 2!0 1!M 1!M 2!0 1!M # 2&! # # 22! # # 2&0 # # 22! 1!M
#
00
thickness 'mm( 2!
mm
Top Trans. =ie =pacin*
?einforcement Top (ong. 8ottom =ie =pacin* =ie
Option / * 6 + 5
2
8escription "la!k steel epo9y steel G&P C&P G&P3C&P G&P3steel
e9ternally restrained
'mm( 22! 22! 1&! 1&! 1&! 200
200
'mm( 1!M 1!M $ # $ $
#
'mm( 200 200 1! 12! 1! 1$!
00
'mm( 1!M 1!M # # # #
#
'mm( 200 200 2&! 22! 2&0 22!
'mm( 1!M 1!M # # # 1!M
00
thickness 'mm( 2!
(ong. =pacin* 'mm( 00 00 2&! 22! 2&0 00
=traps x width 'mm( !
(ong. =pacin* 'mm( 2!0 2!0 2&! 22! 2&0 00
=traps x width 'mm( $!
(ong. =pacin*
8ottom Trans. =ie =pacin* 'mm( 'mm( 1!M 00 1!M 00 $ 1&! # 1! # 1! 1!M 2!0
Cra!k idth 5op Bottom 'mm( 'mm( 0.#1 0.$$ 0.#) 0.&) 0.$ 1.0) 0.!$ 1.0 0.$ 1.0 0.&0 0.!$
spacin* 'mm( 1200
8ottom Trans. =ie =pacin* 'mm( 'mm( 1!M 2!0 1!M 2!0 $ 1!0 # 1&0 # 1&0 1!M 2!0
Cra!k idth 5op Bottom 'mm( 'mm( 0.0 0.# 0.$ 0.!& 0.!1 0.# 0.## 0.) 0.!1 0.) 0.$ 0.!$
spacin* 'mm( 1200
8ottom Trans. =ie =pacin*
Cra!k idth 5op Bottom
'mm( 200 200 2&! 22! 2&0 00
'mm( 1!M 1!M $ # # 1!M
=traps x width 'mm( $!
spacin* 'mm( 1200
'mm( 200 200 1! 1!0 1!0 22!
'mm( 0.21 0.2! 0.# 0.2 0.# 0.!2
'mm( 0.2 0.) 0.&0 0.&1 0.&1 0.#&
Basic 6ost database
Cost ; 3units= Component units Supply Install Total sear!h &einfor!ement !ode black steel k* D2.10 black epoxy
D2.10 D.00 D.00 D.!0 D.00 D12.00 D2.! D#.00 D!.!! D&.&! D11.!0 D1&.00 D2&.00 D0.00 D120.00 D00.00 D##0.00 D220.00 D!.00 D&.00 D&0.00 D$0.00 D#!.00 D#.00
steel bar 10M 1!M 20M
k*/m 0.&! 1.!& 2.!!
Option 6osts per =-uare Metre of Brid*e 8eck 8eck =ieC choose section 1 *irder spacin* wide by 1 m lon* area + 1 x =* m2 determine material -uantities for section determine cost for section di%ide section cost by area to *et D/m2
7ption / Steel-&einfor!ed e!k
=* 'm( 2.) 2.) 2.)
thickness 'mm( 22! 22! 22!
section area 'm2( 2.) 2.) 2.)
top trans%erse < black =ie unit cost =pacin* 'D/k*( 'mm( 1!M D2.10 00 1!M D2.10 2!0 1!M D2.10 200 bottom trans%erse < black =ie unit cost =pacin* 'D/k*( 'mm( 1!M D2.10 00 1!M D2.10 2!0 1!M D2.10 200
%olume 'm( 0.$!2! 0.$!2! 0.$!2!
Fuantity 'k*( 1!.2 1.2 22. Fuantity 'k*( 1!.2 1.2 22.
!on!rete type unit cost 'D/m( "6 D##0 "6 D##0 "6 D##0
cost D2& D2& D2&
form%ork unit cost cost 'D/m2( 120 # 120 # 120 #
reinfor!ement top lon*itudinal < cost =ie unit cost 'D/k*( D2 1!M D2.10 D 1!M D2.10 D# 1!M D2.10 bottom lon*itudinal < cost =ie unit cost 'D/k*( D2 1!M D2.10 D 1!M D2.10 D# 1!M D2.10
black =pacin* 'mm( 00 2!0 200 black =pacin* 'mm( 00 2!0 200
!on!rete type unit cost 'D/m( "6 D##0 "6 D##0 "6 D##0
form%ork unit cost cost 'D/m2( 120 # 120 # 120 #
Fuantity 'k*( 1!.2 1.2 22. Fuantity 'k*( 1!.2 1.2 22.
7ption * Steel-&einfor!ed e!k
=* 'm( 2.) 2.) 2.)
thickness 'mm( 22! 22! 22!
top trans%erse <
section area 'm2( 2.) 2.) 2.)
epoxy
%olume 'm( 0.$!2! 0.$!2! 0.$!2!
cost D2& D2& D2&
reinfor!ement top lon*itudinal <
epoxy
=ie
unit cost 'D/k*( 1!M D.00 1!M D.00 1!M D.00 bottom trans%erse < =ie unit cost 'D/k*( 1!M D.00 1!M D.00 1!M D.00
=pacin* 'mm( 00 2!0 200 epoxy =pacin* 'mm( 00 2!0 200
Fuantity 'k*( 1!.2 1.2 22.
cost
Fuantity 'k*( 1!.2 1.2 22.
cost
D#$ D!! D$
D#$ D!! D$
=ie
unit cost 'D/k*( 1!M D.00 1!M D.00 1!M D.00 bottom lon*itudinal < =ie unit cost 'D/k*( 1!M D.00 1!M D.00 1!M D.00
=pacin* 'mm( 00 2!0 200 epoxy =pacin* 'mm( 00 2!0 200
Fuantity 'k*( 1!.2 1.2 22. Fuantity 'k*( 1!.2 1.2 22.
7ption 6 G&P-&einfor!ed e!k
=* 'm( 2.) 2.) 2.)
thickness 'mm( 1&! 1&! 1&!
top trans%erse < =ie unit cost 'D/m( $ D&.&! $ D&.&! $ D&.&! bottom trans%erse < =ie unit cost 'D/m( $ D&.&! $ D&.&! $ D&.&!
section area 'm2( 2.) 2.) 2.)
A4?" =pacin* 'mm( 1&! 1!0 1! A4?" =pacin* 'mm( 1&! 1!0 1!
!on!rete %olume type unit cost 'm( 'D/m( 0.!0&! normal D220 0.!0&! normal D220 0.!0&! normal D220
Fuantity 'm( 1$.$ 1). 21.! Fuantity 'm( 1$.$ 1). 21.!
cost D112 D112 D112
reinfor!ement top lon*itudinal < cost =ie unit cost 'D/m( D12 # D#.00 D1!0 # D#.00 D1$$ # D#.00 bottom lon*itudinal < cost =ie unit cost 'D/m( D12 # D#.00 D1!0 # D#.00 D1$$ # D#.00
form%ork unit cost cost 'D/m2( 120 # 120 # 120 #
A4?" =pacin* 'mm( 2&! 2&! 2&! A4?" =pacin* 'mm( 2&! 2&! 2&!
Fuantity 'm( 10.! 10.! 10.! Fuantity 'm( 10.! 10.! 10.!
7ption C&P-&einfor!ed e!k
=* 'm( 2.) 2.) 2.)
thickness 'mm( 1&! 1&! 1&!
section area 'm2( 2.) 2.) 2.)
!on!rete %olume type unit cost 'm( 'D/m( 0.!0&! normal D220 0.!0&! normal D220 0.!0&! normal D220
cost D112 D112 D112
form%ork unit cost cost 'D/m2( 120 # 120 # 120 #
top trans%erse < =ie unit cost 'D/m( # D2&.00 # D2&.00 # D2&.00 bottom trans%erse < =ie unit cost 'D/m( # D2&.00 # D2&.00 # D2&.00
64?" =pacin* 'mm( 1&! 1!0 12! 64?" =pacin* 'mm( 1! 1&0 1!0
Fuantity 'm( 1$.$ 1). 2.2 Fuantity 'm( 1!.& 1&.1 1).
reinfor!ement top lon*itudinal < cost =ie unit cost 'D/m( D##& # D2&.00 D!22 # D2&.00 D$2$ # D2&.00 bottom lon*itudinal < cost =ie unit cost 'D/m( D#2 # D2&.00 D#$1 # D2&.00 D!22 # D2&.00
64?" =pacin* 'mm( 22! 22! 22! 64?" =pacin* 'mm( 22! 22! 22!
Fuantity 'm( 12.) 12.) 12.) Fuantity 'm( 12.) 12.) 12.)
7ption + &P-?y"rid &einfor!ed e!k
=* 'm( 2.) 2.) 2.)
thickness 'mm( 1&! 1&! 1&!
top trans%erse < =ie unit cost 'D/m( $ D&.&! $ D&.&! $ D&.&! bottom trans%erse < =ie unit cost 'D/m( # D2&.00 # D2&.00 # D2&.00
section area 'm2( 2.) 2.) 2.)
A4?" =pacin* 'mm( 1&! 1!0 1! 64?" =pacin* 'mm( 1! 1&0 1!0
!on!rete %olume type unit cost 'm( 'D/m( 0.!0&! normal D220 0.!0&! normal D220 0.!0&! normal D220
Fuantity 'm( 1$.$ 1). 21.! Fuantity 'm( 1!.& 1&.1 1).
cost D112 D112 D112
reinfor!ement top lon*itudinal < cost =ie unit cost 'D/m( D12 # D#.00 D1!0 # D#.00 D1$$ # D#.00 bottom lon*itudinal < cost =ie unit cost 'D/m( D#2 # D#.00 D#$1 # D#.00 D!22 # D#.00
form%ork unit cost cost 'D/m2( 120 # 120 # 120 #
A4?" =pacin* 'mm( 2&0 2&0 2&0 A4?" =pacin* 'mm( 2&0 2&0 2&0
Fuantity 'm( 10.& 10.& 10.& Fuantity 'm( 10.& 10.& 10.&
7ption 5 Steel -&P ?y"rid &einfor!ed e!k
=* 'm( 2.) 2.)
thickness 'mm( 200 200
section area 'm2( 2.) 2.)
%olume 'm( 0.! 0.!
!on!rete type unit cost 'D/m( "6 D##0 "6 D##0
cost D2!! D2!!
form%ork unit cost cost 'D/m2( 120 # 120 #
2.)
200
top trans%erse < =ie unit cost 'D/m( $ D&.&! $ D&.&! $ D&.&! bottom trans%erse < =ie unit cost 'D/m( 1!M D2.10 1!M D2.10 1!M D2.10
2.)
A4?" =pacin* 'mm( 200 1! 1$! black =pacin* 'mm( 2!0 2!0 22!
0.!
"6
D##0
D2!!
120
#
reinfor!ement top lon*itudinal < cost =ie unit cost 'D/m( D112 # D#.00 D121 # D#.00 D1$ # D#.00 bottom lon*itudinal < cost =ie unit cost 'D/m( D 1!M D2.10 D 1!M D2.10 D#2 1!M D2.10
A4?" =pacin* 'mm( 22! 22! 22! black =pacin* 'mm( 00 00 00
%olume 'm( 0.!0&! 0.!0&! 0.!
!on!rete type unit cost 'D/m( 4?6 D00 4?6 D00 4?6 D00
form%ork unit cost cost 'D/m2( 120 # 120 # 120 #
Fuantity 'm( ).& ).& ).&
reinfor!ement top lon*itudinal < cost =ie unit cost 'D/m( D) # D#.00 D) # D#.00 D) # D#.00
Fuantity 'm( 1#.! 1!.& 1&.$ Fuantity 'm( 1.2 1.2 20.2
Fuantity 'm( 12.) 12.) 12.) Fuantity 'm( 1!.2 1!.2 1!.2
7ption 2 E9ternally &estrained e!k
=* 'm( 2.) 2.) 2.)
thickness 'mm( 1&! 1&! 200
top trans%erse < =ie unit cost 'D/m( # D#.00 # D#.00 # D#.00 thickness 'mm( 2! 2! 2!
width 'mm( ! !! $!
section area 'm2( 2.) 2.) 2.)
A4?" =pacin* 'mm( 00 00 00 straps =pacin* 'mm( 1200 1200 1200
Fuantity 'k*( #.1 &!.$ ).#
cost D1) D0 D!
cost D1!2 D1!2 D1
A4?" =pacin* 'mm( 00 00 00
Fuantity 'm( ).& ).& ).&
type asphalt asphalt asphalt
topping unit cost 'D/m2( D! D! D!
D2 D D#
D102 D102 D102
262 262 262
Option 6ost =* 5otal 'm( 'D/m2( *04 2.) 62 2.) 6* 2.)
cost D2 D D#
asphalt asphalt asphalt
sub
reinforcin* sub
cost
type
cost
topping unit cost 'D/m2( D! D! D!
cost
sub
D102 D102 D102
262 262 262
reinforcin* =* sub
cost
'm( 2.) 2.) 2.)
D#$ D!! D$
Option 6ost =* 5otal 'm( 'D/m2( 6/2 2.) 6*0 2.) 64 2.)
cost D#$ D!! D$
type asphalt asphalt asphalt
topping unit cost 'D/m2( D! D! D!
D#2 D#2 D#2
sub
D102 D102 D102
+5/ +5/ +5/
Option 6ost =* 5otal 'm( 'D/m2( 6// 2.) 6*5 2.) 662 2.)
cost D#2 D#2 D#2
asphalt asphalt asphalt
cost
reinforcin* =* sub
cost
type
reinf* /4* */0 *26
topping unit cost 'D/m2( D! D! D!
cost
sub
D102 D102 D102
+5/ +5/ +5/
reinforcin* =* sub
cost D# D# D#
Option 6ost =* 5otal 'm( 'D/m2( 26 2.) 22* 2.) 46 2.)
cost D# D# D#
type asphalt asphalt asphalt
topping unit cost 'D/m2( D! D! D!
D# D# D#
D102 D102 D102
+5/ +5/ +5/
Option 6ost =* 5otal 'm( 'D/m2( /6 2.) 6 2.) 5/ 2.)
cost D# D# D#
asphalt asphalt
sub
reinforcin* =* sub
cost
type
cost
topping unit cost 'D/m2( D! D!
cost
sub
D102 D102
2+ 2+
asphalt
D!
D!2 D!2 D!2
Option 6ost =* 5otal 'm( 'D/m2( 6* 2.) 6*2 2.) 666 2.)
cost D2 D2 D2
asphalt asphalt asphalt
cost D) D) D)
2+
reinforcin* =* sub
cost
type
D102
topping unit cost 'D/m2( D! D! D!
cost
sub
D102 D102 D102
5* 5* 5*
reinforcin* =* sub
search codes black epoxy *al% MM4 == clad == soild # ! $ # 4?6 "6 normal asphalt concrete 8 o%erlay membrane "M9 none
Summary of Constru!tion Costs Airder =pacin* 'm(
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6/2 6*0 64
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5 6* 6*2 666
1.0) 1.0& 1.0# D D D D!& D$0 D$! D2# D2# D2$
2 6/ 660 65+
1.01 1.10 1.1# D! D! D$0
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