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PERHITUNGAN GELAGAR JEMBATAN BA
A. DATA STRUKTUR ATAS
Panjang bentang jembatan L =
Lebar jalan (jalur lalu-lintas) B1 =
Lebar trotoar B2 =
Lebar total jembatan B1 + 2 * B2 =
Jumlah girder: n =
Jarak antara irder B1!(n-1) s =
"imensi irder : Lebar girder b =
#inggi girder h =
"imensi "ia$ragma : Lebar dia$ragma
#inggi dia$ragma#ebal slab lantai jembatan ts =
#ebal la%isan as%al + o&erla' ta =
#inggi genangan air hujan th =
#inggi bidang sam%ing ha =
bd=
hd=
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Jumlah balok dia$ragma se%anjang L nd =
Jarak antara balok dia$ragma sd = L!nd =
B. BAHAN STRUKTUR
Mutu beton : -
uat tekan beton $ = ,./ * ! 1, =
0odulus elastikngka %oisson 3,,,1
0odulus geser
oe$isien muai %anjang untuk beton
Mutu baja :
4ntuk baja tulangan dengan 5 6 12 mm : 4 -
#egangan leleh baja $' = 4*1, =
4 -
#egangan leleh baja $' = 4*1, =
0odulus elastisitas
Spe!"! G#a$!t% :
Berat beton bertulang 7 =
Berat beton tidak bertulang (beton rabat) 7 =
Berat as%al %adat 7a =
Berat jenis air 77 =
&. ANALISIS AKSI
8aktor beban ultimit :
Berat sendiri ( sel$ 7eight ) adalah berat bahan dan bagian jembatan 'ang meru%akan
elemen struktural ditambah dengan elemen non-struktural 'ang di%ikuln'a dan bersi$at
teta% Beban berat sendiri balok dia$ragma %ada irder dihitung sbb :
Panjang bentang irder L =
Berat satu balok dia$ragma 9d = bd * hd * s * 7 =
Jumlah balok dia$ragma se%anjang bentang L nd =
Beban dia$ragma %ada irder Pd = 9d =
Beban berat sendiri %ada irder
o Jenis Lebar #ebal Berat
(m) (m) (k!m/)
1 Plat lantai 1;, ,2, 2;;,
2 irder ,
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a'a geser dan momen %ada #-irder akibat berat sendiri (0) :
DPd
0Pd0ms total =
Dms total =
8aktor beban ultimit :
menimbulkan suatu beban %ada jembatan 'ang meru%akan elemen non-struktural dan
mungkin besarn'a berubah selama umur jembatan Jembatan dianalisis harus mam%u
memikul beban tambahan se%erti :
1) Penambahan la%isan as%al (o&erla' ) di kemudian hari
2) enangan air hujan jika sistim drainase tidak bekerja dengan baik
Panjang bentang irder L
Beban mati tambahan %ada irder
o Jenis Lebar #ebal Berat
(m) (m) (k!m/)
1 La%s%al+o&erla' 1;, ,1, 22,,
2 ir hujan 1;, ,,; E.,Beban mati tambahan :
a'a geser dan momen %ada #-irder akibat beban tambahan (0) :
D0
= 1!2 * P0
* L =
00
= 1!. *P0
* L2=
1!2 * P"* nd =
1!/ * P"* L =
2 B>B 0#C #0BF (P0
)
0
=
Beban mati tambahan ( superimposed dead load) adalah berat seluruh bahan 'ang
P0
=
D0
= 1!2 * P0
* L =
00
= 1!. * P0
* L2=
PMA
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'. BEBAN LALU-LINTAS
8aktor beban ultimit :Beban kendaraan 'g beru%a beban lajur G"G terdiri dari beban terbagi rata (4ni$orml'
"istributed Load ) 4"L dan beban garis (ni$e >dge Load ) >L se%erti %d ambar 1
4"L mem%un'ai intensitas H (kPa) 'g besarn'a tergantung %d %anjang bentang L 'g
dibebani lalu-lintas se%erti ambar 2 atau din'atakan dengan rumus sebagai berikut :
H = ., kPa
H = ., *( ,; + 1; ! L ) kPa untuk L 6 /,
B LJ4A G"G (##"
)
#"
=
untuk L /,
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4ntuk %anjang bentang L= 2;,, m H =
>L mem%un'ai intensitas % =
8aktor beban dinamis ("inami Load llo7ane) untuk >L diambil sebagai berikut :
"L = ,
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P##
= ( 1 + "L ) * # =
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a =
b =
Jarak ntar irder
Panjang Jembatan
Beban Kang diterima
=
8aktor Pembebanan
=
Aeaksi tum%uan
0omen 0a3imum
L3=
L'=
b3=
b'=
H = P##
!b'
Hu= 1 H
Aa= (H
u*b
3*((l
3!2)-,.+(,.!2)))!l
3
Aa=
0 =A *(, ;L )-(, ;H )*(, ;b )M2
Lx
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0##
=
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a'a geser maksimum akibat beban #
0omen maksimum akibat beban "
8aktor beban ultimit :
rem arah memanjang jembatan tergantung %anjang total jembatan (Lt) sebagai berikut :
a'a rem 2;, k
a'a rem 2;, + 2;*(Lt - .,) k untul ., I Lt I 1
a'a rem ;,, k
Panjang bentang irder L =
Jumlah irder
a'a rem
Jarak antara irder s =
a'a rem juga da%at di%erhitungkan sebesar ;N beban lajur G"G tan%a $aktor beban
dinamis
a'a geser dan momen 'ang terjadi akibat %embebanan lalu-lintas diambil 'g memberiterhada% #-irder di antara beban G"G dan beban G#G
D##
=
0##
=
'. GA(A REM )TTB*
#B
=
Pengaruh %engereman dari lalu-lintas di%erhitungkan sebagai ga'a dalam arah memanjajarak 1., m di atas lantai jembatan Besarn'a ga'a
F#B
= untuk Lt .,
F#B
=
F#B
= untuk Lt 1.,
ngirder
=
F#B
=
a'a rem untuk Lt ., m : ##B=F#B! ngirder=
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a'a rem ##B = ; N beban lajur G"G tan%a $aktor beban dinamis
I
"iambil ga'a rem
Lengan thd #itik berat balok ' = 1., + ta + ' balok # =
Beban momen akibat ga'a rem
a'a geser dan momen maksimum %ada balok akibat ga'a rem :
8aktor beban ultimit :
a'a angin tambahan arah horisontal %ada %ermukaan lantai jembatan akibat beban
angin 'ang meniu% kendaraan di atas lantai jembatan dihitung dengan rumus :
k!m2 dengan O7 =
ee%atan angin renana D7 =
Beban angin tambahan 'ang meniu% bidang sam%ing kendaraan :
Bidang &ertikal 'ang ditiu% angin meru%akan bidang sam%ing kendaraan dengan tinggi
2,, m di atas lantai jembatan h =
Jarak antara roda kendaraan 3 3 =
Beban akibat trans$er beban angin ke lantai jembatan
Panjang bentang irder L =
a'a geser dan momen %ada irder akibat beban angin (>9) :
H#"
= H * s =
%#"
= % * s =
##B
= ,,; * ( #"
* L + P#"
) =
##B=
0 = ##B
* ' =
D#B
= 0 ! L =
0#B
= 1!2 * 0 =
+. BEBAN ANGIN )TE,
*
>9
=
#>9
= ,,,12*O7*(D7)2
#>9
= ,,,12*O7*(D7)2 =
>9
= 1!2*h ! 3 * #>9
=
D>9
= 1!2 * >9
* L =
0>9
= 1!. * >9
* L2=
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a'a geser dan momen %ada irder akibat %engaruh tem%eratur di%erhitungkan terhad
ga'a 'ang timbul akibat %ergerakan tem%eratur (tem%eratur mo&ement) %ada
tum%uan (elastomeri bearing) dengan %erbedaan tem%eratur sebesar :
oe$isien muai %anjang untuk beton
Panjang bentang irder L =
Shear stiffness of elastomeric bearing, k =
Temperatur movement,
ksi akibat tem%eratur mo&ement
#inggi irder h = 1,, m h =
>ksentrisitas e = h ! 2 = ,; e = h!2 =
0omen akibat %engaruh tem%eratur
a'a geser dan momen %ada irder akibat %engaruh tem%eratur (>#) :
. BEBAN GEMPA )E*
a'a gem%a &ertikal %ada girder dihitung dengan menggunakan %ere%atan &ertikal ke
ba7ah minimal sebesar ,/1E * g ( g = %ere%atan gra&itasi ) atau da%at diambil ;,N
koe$isien gem%a horisontal statik eki&alen
oe$isien beban gem%a horisontal :
h = O *
h = oe$isien beban gem%a horisontal
O = oe$isien geser dasar untuk 7ila'ah gem%a7aktu getardan kondisi tanah setem%at
= 8aktor ti%e struktur 'g berhubungan dengan ka%asitas %en'era%an energi gem%a
(daktilitas) dari struktur
9aktu getar struktur dihitung dengan rumus :
9t = Berat total 'ang beru%a berat sendiri dan beban mati tambahan
P = kekakuan struktur 'ang meru%akan ga'a horisontal 'ang di%erlukan untuk menimb
g = %ere%atan gra&itasi bumi g =
/. PENGARUH TEMPERATUR )TET
*
#==
= *# * L=
#>#
= k * =
0 = #>#
*e =
D>#
= 0!L =
0>#
= 0 =
# = 2 * * ? 9t ! ( g * P) @
TEW
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Berat total 'ang beru%a berat sendiri dan beban mati tambahan :
Berat sendiri
Beban mati tambahan
Panjang bentang L =
Berat total
4kuran irder b = , =
> =
ekakuan lentur irder
9aktu getar
ondisi tanah dasar termasuk sedang (medium)
Lokasi 7ila'ah gem%a 9ila'ah =
oe$isien geser dasar O =
4ntuk struktur jembatan dengan daerah sendi %lastis beton beton bertulang maka
$aktor ti%e struktur dihitung dengan rumus = 1, * 8
8 = $aktor %erangkaan
n = jumlah sendi %lastis 'ang menahan de$ormasi struktur
4ntuk nilai n = 1 maka : n =
8 = 12; - ,,2; * n =
8aktor ti%e struktur = 1, * 8 =
oe$isien beban gem%a horisontal h = O* =
oe$isien beban gem%a &ertikal & = ;,N * h =
"iambil koe$isien gem%a &ertikal & =
a'a gem%a &ertikal
9t = P0
+ P0
P0 (dia$ragma)
P0
=
P0=
9t =( (P0
+ P0
)*L)+(
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Beban gem%a &ertikal
a'a geser dan momen %ada irder akibat gem%a &ertikal (>) :
0. KOMBINASI BEBAN ULTIMATE
o Jenis Beban 8aktor omb-1 omb-2
Beban
1 Berat sendiri (0) 1/,
2 Beban mati tambahan (0) 2,,
/ Beban lajur G"G (#") 2,,
< a'a rem (#B) 2,,
; Beban angin (>9) 12,
Pengaruh #em%eratur (>#) 12,
Beban gem%a (>) 1,,
0BCC 00> 4L#C0#> omb-1
o Jenis Beban 8aktor 0 0u
Beban (km) (km)
1 Berat sendiri (0) 1/, 11./< 1;) 1,, ./
2.,
>
= #>
! L =
D>
= 1!2 * >
* L =
0>
= 1!. * >
* L2=
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Pe#1!tun2an San3a#an
P!pa San3a#an
Jarak tiang sandaran = 2,, m
#inggi tiang sandaran = ;, m
"imensi tiang sandaran :
1,,
"ari tabel baja di%eroleh :
# = 2< mm
=
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Perhitungan tulangan utama :
d = 1
ontrol rasio %enulangan
1 [450/(600+fy!"(#$/fy = ,,2;
1
,,2; 6 ,,1 6 ,,,A# >"CAC (0)
Beban akibat berat sendiri
Lendutan akibat berat sendiri (0) :
1,"4# CB# B>B 0#C #0BF (0)
Beban akibat berat sendiri
Lendutan akibat berat sendiri (0) :
1,"4# CB# B>B LJ4A G"G (#")
Beban lajur G"G : Beban ter%usat
Beban merata
Lendutan akibat beban lajur G"G (#") :
1,"4# CB# K A>0 (#B)
0omen akibat ga'a rem
Lendutan akibat ga'a rem (#B) :
0omen akibat beban mati dan beban hidu% (0"+L
)
0"+L
=
Ce = ( 0r ! 0"+L
)/* Cg + ? 1 - ( 0r ! 0"+L
)/@ * Cr =
0
=
0
= ;!/.*Ce) + ;!/.
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1,A4F #>0P>A#4A (>#)
0omen akibat tem%eratur mo&ement
Lendutan akibat %engaruh tem%eratur (>#) :
1,"4# CB# B>B >0P (>)
Beban gem%a &ertikal
Lendutan akibat beban gem%a (>) :
Lendutan maksimum ,1,-,.
2 Beban mati tambahan (0) 12>-,E
/ Beban lajur G"G (#"!##) /1>-,.
< a'a rem (#B) .-1,
; Beban angin (>9) /-1,
Pengaruh #em%eratur (>#) Beban gem%a (>)
1>-,.
I L!29
=
>9
= ;!/.9
*L*Ce) =
0>#
=
>#
= ,,#
* L2! ( >*Ce) =
>
=
>
= ;!/.
*L*Ce) =
maks
= L!2
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BALOK DIA5RAGMA
BEBAN PADA BALOK DIA5RAGMA
"istribusi beban lantai %ada balok dia$ragma adalah sebagai berikut :
4kuran balok dia$ragma
Lebar bd = ,2, m#inggi hd = ,;, m
Panjang bentang balok dia$ragma
s = 11, m 1
#ebal lantai
ts = ,2, m
Berat sendiri (0) :
o Jenis Lebar #ebal Berat Beban
(k!m/) (k!m)
1 berat girder 11, ,,; 2;;, 1
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ombinasi beban ultimit :
o Jenis beban 8aktor D 0 Du
Beban (k) (km) (k)
1 Berat sendiri (0) 1/,
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Beban truk G#G (##) :
Beban hidu% %ada lantai jembatan beru%a beban roda ganda oleh #ruk (beban #) 'ang
besarn'a # =
8aktor beban dinamis untuk %embebanan truk diambil
Beban truk G#G :
a'a geser dan momen akibat beban G#G
ombinasi beban ultimit :
o Jenis beban 8aktor D 0 Du
Beban (k) (km) (k)
1 Berat sendiri (0) 1/, ;< 12
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OK-T
2;,, m
E,, m
1,, m
11,,m
buah
1;,m
,
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bh
; m
/,,
2
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1.
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2,
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.,, kPa
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;,,
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;,,m
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12E
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12,, k!m
,,k
1./,k
;,,,k
;,,,k
2
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%
2;
11>-,;
2;,,m
1;,,, k!m
,,,Em
1,/1/k
,E,m
,
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/./ !m
1
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2E. k!m
.2;k
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!mk!m
m
km
SA>8T
0%a
0%a
m
m
m
mm
mmm
%u menahan
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mm
kgm
km
km
kgm
8min = ,,/
22,,
ek
an geser
($aktor reduksi utk menahanmomen lentur)
kg!m2
6 8 maka diambil
mm2
mm2
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2
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0omen
(km)
11./-,E
/1>-,. /1>-,.
.-1,
-1,111>-,.
-,. ,>-,.
I L!2
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0u
(km)
1,/
,
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2,, k
,/,
2,,,k
1/,,,k
E;,km
0u
(km)
22/.
1.1
1E;,,,
1EE,;/
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PENULANGAN GIRDER
L*'7 8'9:; *''7 *'9:;D 110000&&
L*'7 8'9:; '>'CD
' (1/4L = ..5000 &&
* = 60000 &&
= 150000 &&
150000 &&
Tin??i *'9:; @00 &&
F'> >;'n *>:n 000 MB'
T?'n?'n 99 *'j' 400 MP'#'>i: >F9'n?'n >'7i; ,n?'n >;'n = 01
M:&n F9>i&'> 7n'n' y'n? '7FC ,iBi; 56@604G;H&
S9i&F> *>:n C = 0 &&
TF9'n?'n >'7i; I = . &&
>F9'n?'n >;'n IJ = . &&
K = 0G
, = 5G &&
, = G.. &&
, = @0 &&
, = 5G &&,J = 6. &&
,J = 46 &&
,J = 6. &&
M:,F9FC 9'C>iCi>'C *'j' .00000 MB'
G04.4G
G04.4G
M:&n F9>i&'> n:&in'9 1.0060.5 ;H&
*f=
Ln=L
nHT 8ALN8ALN 8E##TAH IEHOAH #AH AHO SAMA
*
f
*=
fJ=
fy =
MF,
=
'7'; >i>i; *7'> 9F'C Bn'&B'n? >F9'n?'n>'7i; ; C7'> >;'n >79F'7
'7'; >i>i; *7'> 9F'C Bn'&B'n? >F9'n?'n>;'n ; C7'> >;'n >79F'7
EC=
A= &&.
AJ= &&.
Mn,
= MF,
/K =
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60.54H &&
ACF&Ci;'n 9n?'n &:&n QRQ
R = 0@ , = 6G.. &&
R = 65G &&
M';'
R y'n? &nn>F;'nD 65G &&
LF'C >F9'n?'n :*'D
Mn =
0@
640G054..G5
M';' AC ','9'D
AC = .446105@
Mn?i>Fn? Q'Q
' = AC"fy/(0G5"fJ"*& = .546061.@ &&
' >i,'; >79>'; B',' 'n? i>Fn? F9'n? R
P7i>Fn?'n 'B'*i9' ' >79>'; B',' 'n?
R =,('/. = 606@6@G
R AC '
.54606
606@ .54006G .656.G
6.51G6 .56.45@ [email protected] .56.66@ .6G4.
6.64 .56G015 .6G5G1
6.10 .56G5.4 .6G604
6.6@G .56G5.. .6G60@
6.6@6 .56G5G.5 .6G610
6.6@5 .56G5G4G .6G610
6.6@5 .56G5G5 .6G610
6.6@5 .56G5G54 .6G610
P7i>Fn?'n *7n>i 'B'*i9' AC C*9F&ny' ,'n AC >7';i7 >9' C'&' (&n,;'>iM';'
AC = .56G5G54
',i ,n?'n >F9'n?'n I . &&
IiB';'iD TF9'n?'n . *F'
P7i>Fn?'n >F9'n?'n >;'nD
1.0060.5 H &&
, (>f/. =
AC"f
y"R
(Mn1 M:&n n:&in'9 y'n? '7FC ,iBi;F9 :9 >F9'n?'n >'7i; (ACD
Mn1=
Mn1/fy"R &&.
U; 'B';' ' >f'>'F >i,';D
&&.
Mn.= MnMn
1
Mn.=
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V = 0G5
V = 0G5 (fJ0"(005/
V = 065
M';'
= 0G5 = '/ = 1601.0@
U; 'B';' >F9'n?'n >;'n >9' 99
V NHI$S$ $
V NHI$S$ $$
000.NHI$
(,J/X"000 = 000.560G
TF9'n?'n *9F& 99
M';' 400 MP'
ACJ = .5000.116
',i ,n?'n >F9'n?'n I . &&
IiB';'i TF9'n?'n 4 *F'
Ci&BF9'nIiB';'i >F9'n?'n >'7i;
' E&B'> *'7iC >F9'n?'n >'7i; 4 *'7iC
* I . . *F'
S>i'B *'7iC >7,'B'> G *F'
'7'; 'n>'7 >F9'n?'n 46.@ &&
IiB';'i >F9'n?'n >;'n
' ,F' *'7iC >F9'n?'n >;'n . *'7iC
* I . 4 *F'
S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n .400 &&
.55@. ACJ= .16@@0GG
U; >F9'n?'nD
0004 1061.00
104G1 10.0
:n>7:9 T7','B >F9'n?'n &ini&F&D N
:n>7:9 T7','B >F9'n?'n M';Ci&F&D HNT N
fJ 0 MB'
0 MB' fJ 5G MB'
fJ 5G MB'
YCJZ Y
yfJ
C= YJ
C"E
C
YCJ Y
yfJ
C= f
y
Yy= f
y/E
C=
YCJ=
fJC=
Mn./(fCJ(,,J = &&.
AC1= &&. &&.
%&in
= AC&in
=
AC*'9'n,
= AC&'x
=
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7 >Fn?'n 'B' ' ' > ' >7 >' B' ' 'n?
' = 404.@64
y = 14@1GG &&
R = ,y = 6140G1.1 &&
R AC ' y
404 14@1@
6140G1 .60G@5 405G 1.GG1
5G511@ [email protected] 5.6@6 1@5GG
56041. .G5G654 510 ...G0
551@ .@@160 6.G4@ .504.
504@5G 1.510 6@4145 [email protected]
461 46@5401 G10604 40.4
G@6 41.16 10G6144 5@@41
1G05@ G@@0 [email protected] ..G6@1
15.@6@1 104.@1 @606@G 1G01@
@G1@ 4065@ @04G0 ..G5.
15.. 104G6.5 @61..6 1@0G@
P7i>Fn?'n *7n>i 'B'*i9' AC C*9F&ny' ,'n AC >7';i7 >9' C'&' (&n,;'>i
M';'
AC = 4065@
',i ,n?'n >F9'n?'n I . &&
IiB';'iD TF9'n?'n 6 *F'
P7i>Fn?'n >F9'n?'n >;'nD
1.0060.5 H &&
V = 0G5
V = 0G5 (fJ0"(005/
V = 065
M';' = 0G5
= '/ = 45@GG.
U; 'B';' >F9'n?'n >;'n >9' 99
V NHI$S$ $
V NHI$S$ $$
((AC"fy0G5"fJ
"*">
f/(0G5"fJ
"*
f &&.
&&.
Mn.= MnMn
1
Mn.=
fJ 0 MB'
0 MB' fJ 5G MB'
fJ 5G MB'
YCJZ Y
yfJ
C= YJ
C"E
C
YCJ Y
yfJ
C= f
y
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000.NHI$
(,J/X"000 = 000.560G
TF9'n?'n *9F& 99
M';' 400 MP'
ACJ = .5000.116
',i ,n?'n >F9'n?'n I . &&
IiB';'i TF9'n?'n 4 *F'
Ci&BF9'nIiB';'i >F9'n?'n >'7i;
' E&B'> *'7iC >F9'n?'n >'7i; 4 *'7iC
* I . 6 *F'S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n 6G000 &&
IiB';'i >F9'n?'n >;'n
' ,F' *'7iC >F9'n?'n >;'n . *'7iC
* I . 4 *F'
S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n 4000 &&
4G.54G6. ACJ= .16@@0GG
U; >F9'n?'nD
0004 1061.00
104G1 10.0
:n>7:9 T7','B >F9'n?'n &ini&F&D N
:n>7:9 T7','B >F9'n?'n M';Ci&F&D N
TF9'n?'n >9' &&nFi Cy'7'> '&*i9 BnF9'n?'n ,i'>
Yy= f
y/E
C=
YCJ=
fJC=
Mn./(fCJ(,,J = &&.
AC1= &&. &&.
%&in
= AC&in
=
AC*'9'n,
= AC&'x
=
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ANALISIS TULANGAN RANGKAP
',''n *'9:; ,i'n'9iC' C*'?'i *'9:; T (' >79>'; B',' *9:; ;Fi'9n U = GG1G06G66.
A;i*'> >F9'n?'n >;'n UC = 1460.145
A;i*'> >F9'n?'n >'7i; T = 10.@40G0
NHT#NLD 0000
(,J/X"000
' =
Mn'7i ni9'i ,n?'n B7C'&''n ;Ci&*'n?'n :7i\:n>'9
:nC>'n>'
411G.500
1040416.G1
[email protected]:nC>'n>'
Ii,'B'>D
= .66546 && M';' ,i'&*i9 ni9'i >7;i9 B:Ci>if D
= 110.14G && = .665 &&
' = ..410G &&
P7i;C' 7?'n?'nD
000. Z 000.
00056 Z 000.
M';'
000.0
000.0
:7;CiD UC = 1.G6@651 H
&&.
&&.
G5"fJ""*
&+('>
f*
i; *7'> ,'7' >7>;'n y =
(,'7i >Bi B'9in? '>'C y = @.6. &&
150G6.. H &&TF9'n?'n >9' &'&BF &n''n &:&n 7n'n
U; *'>'C >F9'n?'n &';Ci&F&D
454G G65G
44@414@4
061.
Ci&BF9'nD
Ii?Fn';'n >F9'n?'nD
T'7i; I . . *F'
E&B'> *'7iC >F9'n?'n >'7i; 4
S>i'B *'7iC >7,'B'> G *F'
'7'; 'n>'7 >F9'n?'n 4600 &&
T;'n I . 4 *F'
,F' *'7iC >F9'n?'n >;'n .
S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n .400 &&
.G@5.@1@
TF9'n?'n N
NHT#NLDT7','BD
SFCFn'n TF9'n?'nD8'7iC 1 G 8F'
8'7iC . G 8F'
8'7iC G 8F'
8'7iC 4 G 8F'
MLA] . F&9' >F9'n?'
Mn=
[*i,';,iB79F;'n *i9' *>:n
&'&BF &n''n ?C7
^C= (^
F_"^
/_=
SB79F= (A^"fy",/^C=
U; >7','B ^C&';Ci&F&D
^C ','
= (A^"f
y",/C
','=
^C &'x
= (./"3(fJ"*
'
.51.500
G04.41@
[email protected]:nC>'n>'
Ii,'B'>D
= .61444 && M';' ,i'&*i9 ni9'i >7;i
= 140G && = .61444411G1
' = .....5004
P7i;C' 7?'n?'nD
SF,' L9 000.
SF,' L9 0005
M';'
400000 MB' 000.0
000.0
:7;CiD UC = 1.G6@651
0G5"fJ
YCJ=
"
0G5"fJ""*
& .
000""AC"EC AC"fy
000""ACJ",J"EC
.
B',' :,'n >9' CCF'i
YCJ=
YC=
YCJ=
YC=
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Tinj'F &:&n >7','B *'j' >F9'n?'n >'7i;D
UC"(,,J + U"(
Ti>i; *7'> ,'7' >7>;'n y =
(,'7i >Bi B'9in? '>'C y = 100000
6@15@@5@T'&*' jF&9
U; *'>'C >F9'n?'n &';Ci&F&D
454G
44@414@G
061.00
Ci&BF9'nD
Ii?Fn';'n >F9'n?'nD
T'7i; I .
E&B'> *'7iC >F9'n?'n >'7i;
S>i'B *'7iC >7,'B'>
'7'; 'n>'7 >F9'n?'n
T;'n I .
,F' *'7iC >F9'n?'n >;'n
S>i'B *'7iC >7,'B'>
'7'; 'n>'7 >F9'n?'n
.G14G60.
TF9'n?'n N
NHT#NLDT7','BD
SFCFn'n TF9'n?'nD8'7iC 1 G
8'7iC . G
8'7iC G
8'7iC 4
CCF'i MLA] 1
Mn=
"('>f+*
&">
fX >
f/.
Mn
=
U*= 600/(600+f
yX", '
*=
U*= '
*=
AC*'9
= 0G5"fJ"('
*"*
&+ACJf
CJX/f
y
AC&'x
= 05"AC*'9
AC*'9= &&.
AC&'x
= &&.
AC','
=
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'Tin??i f;>if *>:n (,D
ACF&Ci '
&& 5G
Ci&BF9'nD
T7','B 9*'7 *'9:;DT7','B >in??i *'9:;D IC'
6@0;H
6@6@@66 H
1. &&
05
.05G6G4@ H
64G15041 H
105G1&&
10500&&
10000 &&
6G5G...4 H
1101.@G6 H
5600 &&
600 &&
&&.
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1G@5&&
00 &&
55564@1 H
$ $$
1G@5&&
100 &&
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GAN RANGKAP
H &&
1 *F'
4 *F'
G500.114@H
14.460.G1H
@@.61.0H
NHT#NLD 0000 N
n>'9
i9 B:Ci>if D
&&
&&
Z 000. SF,' L9
Z 000. SF,' L9
400000MB'
H
&&.
&&.
""*&X =
CJ"YJC"E
C=
AC"fy=
M>:, P7i>Fn?'n >i,'; CCF'i Bi9i&>:, y'n? CCF'i
Yy
fCJ=
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,(05"y
&&
H && ' >F9'n?'n
G65G
1*F'
4
G *F'
4600 &&
4 *F'
.
. *F'
.400&&
8F'
8F'
8F'
8F'
F&9' >F9'n?'n CCF'i
"*
&&.
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75/110
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PENULANGAN GIRDER
L*'7 8'9:; *''7 *'9:;D 110000&&
L*'7 8'9:; '>'CD
' (1/4L = ..5000 &&
* = 60000 &&
= 150000 &&
150000 &&
Tin??i *'9:; @00 &&
F'> >;'n *>:n 000 MB'
T?'n?'n 99 *'j' 400 MP'#'>i: >F9'n?'n >'7i; ,n?'n >;'n = 01
M:&n F9>i&'> 7n'n' y'n? '7FC ,iBi 56@604G;H&
S9i&F> *>:n C = 0 &&
TF9'n?'n >'7i; I = . &&
>F9'n?'n >;'n IJ = . &&
K = 0G
, = 610@64&&
, = G.. &&
, = @0 &&
, = 5G &&,J = 6. &&
,J = 46 &&
,J = 6. &&
M:,F9FC 9'C>iCi>'C *'j' .00000 MB'
G04.4G
G04.4G
M:&n F9>i&'> n:&in'9 1.0060.5 ;H&
*f=
Ln=L
nHT 8ALN8ALN 8E##TAH IEHOAH #AH AHO SAMA
*
f
*=
fJ=
fy =
MF,
=
'7'; >i>i; *7'> 9F'C Bn'&B'n?>F9'n?'n >'7i; ; C7'> >;'n >79F'7
'7'; >i>i; *7'> 9F'C Bn'&B'n?>F9'n?'n >;'n ; C7'> >;'n >79F'7
EC=
A= &&.
AJ= &&.
Mn,
= MF,
/K =
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1.0060.54 H &&
ACF&Ci;'n 9n?'n &:&n QRQ
R = 0@ , = 6G4@G0@ &&
R = 6610@64 &&
M';'
R y'n? &nn>F;'nD 6610@64. &&
LF'C >F9'n?'n :*'D
Mn =
0@
640G054..G5
M';' AC ','9'D
AC = .4..665
Mn?i>Fn? Q'Q
' =AC"fy/(0G5"fJ"*& = .5414.@ &&
' >i,'; >79>'; B',' 'n? i>Fn? F9'n? R
P7i>Fn?'n 'B'*i9' ' >79>'; B',' 'n?
R =,('/. = 64@00G
R AC '
.541
64@0 .5.5.G1 .640G.
6.@056 .5466@51 .66.16.@6 .551.60 .66@6
6.6@@ .55..010 .66G@
6.64G .55.406. .66@1G
6.6G .55.44@G .66@.
6.65 .55.45@1 [email protected]
6.65 .55.4611 [email protected]
6.65 .55.4615 [email protected]
6.65 .55.4616 [email protected]
P7i>Fn?'n *7n>i 'B'*i9' AC C*9F&ny' ,'n AC >7';i7 >9' C'&' (&n,;'>iM';'
AC = .55.4616
',i ,n?'n >F9'n?'n I . &&
IiB';'iD TF9'n?'n . *F'
P7i>Fn?'n >F9'n?'n >;'nD
1.0060.5 H &&
, (>f/. =
AC"f
y"R
(Mn1 M:&n n:&in'9 y'n? '7FC ,iBi;F9 :9 >F9'n?'n >'7i; (ACD
Mn1=
Mn1/fy"R &&.
U; 'B';' ' >f'>'F >i,';D
&&.
Mn.= MnMn
1
Mn.=
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V = 0G5
V = 0G5 (fJ0"(005/
V = 065
M';'
= 0G5 = '/ = 140.G4
U; 'B';' >F9'n?'n >;'n >9' 99
V NHI$S$ $
V NHI$S$ $$
000.NHI$
(,J/X"000 = 000.56054@
TF9'n?'n *9F& 99
M';' 400 MP'
ACJ = .4G@1@465
',i ,n?'n >F9'n?'n I . &&
IiB';'i TF9'n?'n 4 *F'
Ci&BF9'nIiB';'i >F9'n?'n >'7i;
' >i?' *'7iC >F9'n?'n >'7i; *'7iC
* I . . *F'
S>i'B *'7iC >7,'B'> 11 *F'
'7'; 'n>'7 >F9'n?'n .40 &&
IiB';'i >F9'n?'n >;'n
' ,F' *'7iC >F9'n?'n >;'n . *'7iC
* I . 4 *F'
S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n .400 &&
.55@. ACJ= .16@@0GG
U; >F9'n?'nD
0004 106555
1115054 105.G.
:n>7:9 T7','B >F9'n?'n &ini&F&D N
:n>7:9 T7','B >F9'n?'n M';Ci&F&D HNT N
fJ 0 MB'
0 MB' fJ 5G MB'
fJ 5G MB'
YCJZ Y
yfJ
C= YJ
C"E
C
YCJ Y
yfJ
C= f
y
Yy= f
y/E
C=
YCJ=
fJC=
Mn./(fCJ(,,J = &&.
AC1= &&. &&.
%&in
= AC&in
=
AC*'9'n,
= AC&'x
=
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7 >Fn?'n 'B' ' ' > ' >7 >' B' ' 'n?
' = 400005.4
y = 14..1@065 &&
R = ,y = 61GG0@ &&
R AC ' y
40001 14..1@
61GGG .5GG5G5 4651.@ [email protected]
5@1G51 .06G1 5114G5 1@1404
56@6@ .G1.065 55.0 .1.G50
54G.4 [email protected] 5@5@0G .6G5
5.411 055461G 64G..0 .666
4@40 .466G@G ..1. 1500G
4460G@ [email protected] G5G. 4041
556 450@1 [email protected] 6@405
66@1 ``` GG560.0 G065G..
04.5 [email protected] 66005 G0.65.
GG44G 1G.00 4G50 65@40G
P7i>Fn?'n *7n>i 'B'*i9' AC C*9F&ny' ,'n AC >7';i7 >9' C'&' (&n,;'>i
M';'
AC = [email protected]
',i ,n?'n >F9'n?'n I . &&
IiB';'iD TF9'n?'n *F'
P7i>Fn?'n >F9'n?'n >;'nD
1.0060.5 H &&
V = 0G5
V = 0G5 (fJ0"(005/
V = 065
M';' = 0G5
= '/ = 4G.40G11
U; 'B';' >F9'n?'n >;'n >9' 99
V NHI$S$ $
V NHI$S$ $$
((AC"fy0G5"fJ
"*">
f/(0G5"fJ
"*
f &&.
&&.
Mn.= MnMn
1
Mn.=
fJ 0 MB'
0 MB' fJ 5G MB'
fJ 5G MB'
YCJZ Y
yfJ
C= YJ
C"E
C
YCJ Y
yfJ
C= f
y
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000.NHI$
(,J/X"000 = 000.56054@
TF9'n?'n *9F& 99
M';' 400 MP'
ACJ = .4G@1@465
',i ,n?'n >F9'n?'n I . &&
IiB';'i TF9'n?'n 4 *F'
Ci&BF9'nIiB';'i >F9'n?'n >'7i;
' >i?' *'7iC >F9'n?'n >'7i; *'7iC
* I . *F'S>i'B *'7iC >7,'B'> 1 *F'
'7'; 'n>'7 >F9'n?'n 1000 &&
IiB';'i >F9'n?'n >;'n
' ,F' *'7iC >F9'n?'n >;'n . *'7iC
* I . 4 *F'
S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n 4000 &&
.41.4. ACJ= .16@@0GG
U; >F9'n?'nD
0004 106555
1115054 105.G.
:n>7:9 T7','B >F9'n?'n &ini&F&D HNT N
:n>7:9 T7','B >F9'n?'n M';Ci&F&D N
A&*i9 BnF9'n?'n ,n?'n AC &ini&F&
Yy= f
y/E
C=
YCJ=
fJC=
Mn./(fCJ(,,J = &&.
AC1= &&. &&.
%&in
= AC&in
=
AC*'9'n,
= AC&'x
=
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ANALISIS TULANGAN RANGKAP
',''n *'9:; ,i'n'9iC' C*'?'i *'9:; T (' >79>'; B',' *9:; ;Fi'9n U = GG1G06G66.
A;i*'> >F9'n?'n >;'n UC = 1460.145
A;i*'> >F9'n?'n >'7i; T = 10.@40G0
NHT#NLD 0000
(,J/X"000
' =
Mn'7i ni9'i ,n?'n B7C'&''n ;Ci&*'n?'n :7i\:n>'9
:nC>'n>'
411G.500
1040416.G1
[email protected]:nC>'n>'
Ii,'B'>D
= .66546 && M';' ,i'&*i9 ni9'i >7;i9 B:Ci>if D
= 110.14G && = .665 &&
' = ..410G &&
P7i;C' 7?'n?'nD
000. Z 000.
0005 Z 000.
M';'
000.0
000.0
:7;CiD UC = 1.G6@651 H
&&.
&&.
0G5"fJ""*
&+('>
f*
i; *7'> ,'7' >7>;'n y =
(,'7i >Bi B'9in? '>'C y = @.6. &&
1G.16G1. H &&TF9'n?'n >9' &'&BF &n''n &:&n 7n'n
U; >F9'n?'n &';Ci&'9D
45665G06 GG15@55
451.@
G4@5@5
Ci&BF9'nD
Ii?Fn';'n >F9'n?'nD
T'7i; I . . *F'
>i?' *'7iC >F9'n?'n >'7i;
S>i'B *'7iC >7,'B'> 11 *F'
'7'; 'n>'7 >F9'n?'n .00 &&
T;'n I . 4 *F'
,F' *'7iC >F9'n?'n >;'n .
S>i'B *'7iC >7,'B'> . *F'
'7'; 'n>'7 >F9'n?'n .400&&
.G@5.@1@
TF9'n?'n N
NHT#NLDT7','BD
SFCFn'n TF9'n?'nD8'7iC 1 G 8F'
8'7iC . G 8F'
8'7iC G 8F'
8'7iC 4 G 8F'
MLA] . F&9' >F9'n?'
Mn=
[*i,';,iB79F;'n *i9' *>:n
&'&BF &n''n ?C7
^C= (^
F_"^
/_=
SB79F= (A^"fy",/^C=
U; >7','B ^C&';Ci&F&D
^C ','
= (A^"f
y",/C
','=
^C &'x
= (./"3(fJ"*
'
.51.500
G6416.G1
[email protected]:nC>'n>'
Ii,'B'>D
= .0G5 && M';' ,i'&*i9 ni9'i >7;i
= 15G@G && = .0G501.G5
' = .0...61.@.
P7i;C' 7?'n?'nD
SF,' L9 000.
SF,' L9 00054
M';'
400000 MB' 000.0
000.0
:7;CiD UC = 1.G6@651
0G5"fJ
YCJ=
"
0G5"fJ""*
& .
000""AC"EC AC"fy
000""ACJ",J"EC
.
B',' :,'n >9' CCF'i
YCJ=
YC=
YCJ=
YC=
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Tinj'F &:&n >7','B *'j' >F9'n?'n >'7i;D
UC"(,,J + U"(
Ti>i; *7'> ,'7' >7>;'n y =
(,'7i >Bi B'9in? '>'C y = 100000
1615.@@GTF9'n?'n >9' &'&BF &
U; >F9'n?'n &';Ci&'9D
45665G0645
451.@.
G4@5@455
Ci&BF9'nD
Ii?Fn';'n >F9'n?'nD
T'7i; I .
>i?' *'7iC >F9'n?'n >'7i;
S>i'B *'7iC >7,'B'>
'7'; 'n>'7 >F9'n?'n
T;'n I .
,F' *'7iC >F9'n?'n >;'n
S>i'B *'7iC >7,'B'>
'7'; 'n>'7 >F9'n?'n
.G@5.@1@
TF9'n?'n N
NHT#NLDT7','BD
SFCFn'n TF9'n?'nD8'7iC 1 G
8'7iC . G
8'7iC G
8'7iC 4 G
CCF'i MLA] .
Mn=
('>f+*
&">
fX >
f/.
Mn
=
U*= 600/(600+f
yX", '
*=
U*= '
*=
AC*'9
= 0G5"fJ"('
*"*
&+ACJf
CJX/f
y
AC&'x
= 05"AC*'9
AC*'9= &&.
AC&'x
= &&.
AC','
=
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'Tin??i f;>if *>:n (,D
ACF&Ci '
&& 610@641@
Ci&BF9'nD
T7','B 9*'7 *'9:;D7F T7','B >in??i *'9:;D IC'
6@0;H
6@6@@66 H
1. &&
..61@[email protected] H
05
.0G44@6 H
6401@6 H
1064&&
10600&&
10000 &&
6GG6.41G H
111165.@@ H
5600 &&
600 &&
&&.
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[email protected]@4 &&
00 &&
555G.64@6 H
$$
[email protected]@4 &&
100 &&
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95/110
-
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96/110
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97/110
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GAN RANGKAP
H &&
. *F'
4 *F'
GG06014@44H
14GG55G6H
10.@40G0H
NHT#NLD 0000 N
n>'9
i9 B:Ci>if D
&&
&&
Z 000. SF,' L9
Z 000. SF,' L9
400000MB'
H
&&.
&&.
""*&X =
CJ"YJC"E
C=
AC"fy=
M>:, P7i>Fn?'n >i,'; CCF'i Bi9i&>:, y'n? CCF'i
Yy
fCJ=
-
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,(05"y
&&
H && n''n &:&n 7n'n'
GG15@5
.*F'
11*F'
.00 &&
4 *F'
.
. *F'
.400&&
8F'
8F'
8F'
8F'
F&9' >F9'n?'n CCF'i
"*
&&.
-
7/25/2019 Jembatan, Superstructure
101/110
-
7/25/2019 Jembatan, Superstructure
102/110
-
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PENULANGAN DIAFRAGMA
L*'7 8'9:; * = .0000 &&
Tin??i *'9:; 50000&&
F'> >;'n *>:n 000 MB'
T?'n?'n 99 *'j' 400 MP'
#'>i: >F9'n?'n >'7i; ,n?'n >;'n = 0.
665.@1041;H&
S9i&F> *>:n C = 0 &&
TF9'n?'n >'7i; I = 16 &&
>F9'n?'n >;'n IJ = 16 &&
K = 0G
, = 46.00 &&
,J = G &&
M:,F9FC 9'C>iCi>'C *>:n .00000 MB'
M:&n F9>i&'> n:&in'9 G161G0.1 ;H&
G161G0.1H &&
.0106.
.0106.
>=
fJ =fy=
M:&n F9>i&'> 7n'n' y'n? '7FC,iBi;F9
MF,
=
'7'; >i>i; *7'> 9F'C Bn'&B'n?>F9'n?'n >'7i; ; C7'> >;'n >79F'7
'7'; >i>i; *7'> 9F'C Bn'&B'n?>F9'n?'n >;'n ; C7'> >;'n >79F'7
EC=
Mn,
= MF,
/K =
C= (0G5"f
"'"*/(f
y+(0G5"fJ
f
CJ
n,= 0G5fJ('*AC(,05'++AC+fCJ(,,J
A= &&.
AJ= &&.
>
C
*
,
,a
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' = 100 &&
= 0G5
= '/ = 116405GG
000.
(,J/X"000 000.01
(,/X"000 000GG1 TLAHOA
T7i'9
'
[&&! [&&! MP' H &&
1 . 4 5 61 G0 444 00004 G0 4@. [email protected]
. 0 4GG 00004 G04 4G@01 G656@G5.
6G0 4.@ 00004 4G01 G515G1466
U:*':*' '7?' ' ,iCF*C>i>FCi;'n ; ;,F' B7C'&''n ,i'>'C (AC,'n M
n,
Yy= f
y/E
C=
YCJ=
YC=
fJC= YJ
C"E
C
YC
fJC
AC
Mn,
[&&.!
-
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-
7/25/2019 Jembatan, Superstructure
106/110
NHI$S$ $
TEAH SIA] LELE]
:n>7:9
(6 (
G161G0.1 N
G161G0.1 N
G161G0.1 N
Mn,
M:&nn:&in'9
-
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PENULANGAN PLAT
L*'7 8'9:; * = 1000 &&
Tin??i *'9:; .00 &&
F'> >;'n *>:n 000 MB'
T?'n?'n 99 *'j' 400 MP'
#'>i: >F9'n?'n >'7i; ,n?'n >;'n = 01
1@@055 ;H&
S9i&F> *>:n C = .0 &&
TF9'n?'n >'7i; I = 16 &&
>F9'n?'n >;'n IJ = 16 &&
K = 0G
, = 1.00 &&
,J = .G &&
M:,F9FC 9'C>iCi>'C *>:n .00000 MB'
M:&n F9>i&'> n:&in'9 .4GG161G5 ;H&
.4GG161G5H &&
.0106.
.0106.
>=
fJ =fy=
M:&n F9>i&'> 7n'n' y'n? '7FC,iBi;F9
MF,
=
'7'; >i>i; *7'> 9F'C Bn'&B'n?>F9'n?'n >'7i; ; C7'> >;'n >79F'7
'7'; >i>i; *7'> 9F'C Bn'&B'n?>F9'n?'n >;'n ; C7'> >;'n >79F'7
EC=
Mn,
= MF,
/K =
AC= (0G5"f
"'"*/(f
y+(0G5"fJ
f
CJ
Mn,= 0G5fJ('*AC(,05'++AC+fCJ(,,J
A= &&.
AJ= &&.
>
C
*
,
,a
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' = 100 &&
= 0G5
= '/ = 116405GG.
000.
(,J/X"000 000..G6
(,/X"000 0001G6 TLAHOA
T7i'9 '
[&&! [&&! MP' H &&
1 . 4 5 61 5G 6@05GG 0001G 56.@1 40@@6G ..@@@@61
. 5G. 6G406 0001G 546@. [email protected]@ .1.5105
5 6GG.4 0001G 5.510 4005G6 ..@4@6015
U:*':*' '7?' ' ,iCF*C>i>FCi;'n ; ;,F' B7C'&''n ,i'>'C (AC,'n M
n,
Yy= f
y/E
C=
YCJ=
YC=
fJC= YJ
C"E
C
YC
fJC
AC
Mn,
[&&.!
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-
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NHI$S$ $$
TEAH 8ELM LELE]
:n>7:9
(6 (
.4GG161@HNT N
.4GG161@HNT N
.4GG161@HNT N
Mn,
M:&nn:&in'9