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BAB I
PRELIMINARY DESIGN
I.1.DATA BANGUNAN
1. Jenis bangunan = Asrama
2. Panjang bangunan = 42 m
3. Jarak portal = 6 m
4. Lokasi bangunan = Tanah lunak
5. ila!ah gempa = 4
6. "utu beton #$%&' = 22 "pa
(. "utu baja #$!' = 3)* "pa
+. ,imensi kolom #b=h' Lt.1 = 5* %m
Lt.2 = 5* %m
Lt.3 = 5* %m
). Tinggi kolom - Lt.1 = 4.25 m
Lt.2 = 4.25 m
Lt.3 = 4.25 m
1*. ,imensi balok = 112 L / 114 L
11. 0entang 0alok - L1 = 3 m
L2 = 4.(5 m
L3 = 3 m
L4 = 5.5 m
12. Gambar Struktur
Kantilever (K) = 1.5 m
I.2.PRELIMINARY DESIGN
Preliminary Design Balok
a. 0alok memanjang lt.2 lt.3 #L=6**%m' 01
h = 114 L
= 114 6** = 42.+6 ∽ 45
b = 1 2 h
= 1 2 45 = 23 ∽ 25
b. 0alok melintang lt.2 lt.3 #L= 3** %m' 02
h = 114 L
= 114 3** = 21.43 ∽ 25
b = 1 2 h
= 1 2 25 = 13 ∽ 15
%. 0alok melintang lt.2 #L=5**%m' 03
h = 114 L
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= 114 5** = 35.(1 ∽ 4*
b = 1 2 h
= 1 2 4* = 2* ∽ 2*
. 0alok melintang lt.2 lt.3 #L=6**%m' 04
h = 114 L
= 114 6** = 42.+6 ∽ 45
b = 1 2 h
= 1 2 45 = 2* ∽ 25
e. 0alok melintang lt.3 #L=+**%m' 05
h = 114 L
= 114 +** = 5(.14 ∽ 6*
b = 1 2 h
= 1 2 6* = 3* ∽ 3*
$. 0alok melintang lt.atap #L=11**%m' 06
h = 114 L
= 114 11** = (+.5( ∽ +*
b = 1 2 h
= 1 2 45 = 23 ∽ 4*
g. 0alok anak lt.2 lt.3 lt. atap #L=6**%m' 0(
h = 114 L
= 114 6** = 42.+6 ∽ 45
b = 1 2 h
= 1 2 45 = 23 ∽ 25
h. 0alok anak lt.2 lt.3 #L=5**%m' 0+
h = 114 L
= 114 5** = 35.(1 ∽ 4*
b = 1 2 h
= 1 2 4* = 2* ∽ 2*
Dimensi Balok
a. 0alok memanjang lt.2 lt.3 #L=6**%m' 01 = 2545
b. 0alok melintang lt.2 lt.3 #L= 3** %m' 02 = 1525
%. 0alok melintang lt.2 #L=5**%m' 03 = 2*4*
. 0alok melintang lt.2 lt.3 #L=6**%m' 04 = 2545
e. 0alok melintang lt.3 #L=+**%m' 05 = 3*6*
$. 0alok melintang lt.atap #L=11**%m' 06 = 4*+*
g. 0alok anak lt.2 lt.3 lt. atap #L=6**%m' 0( = 2545
h. 0alok anak lt.2 lt.3 #L=5**%m' 0+ = 2*4*
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BAB II
PERHITUNGAN PELAT
II.1 PERHITUNGAN PELAT ATAP
f'c = 22 Mpa
fy = 3! Mpa
"ipe bal#k$
b %$1 $2 $3
&1 !!! 25! 5!
&2 55!! 5! 3!!! 2!! !!
&3 *5!! 5! 3!! !!
&a1 55!! 5! 2!! !!
&a2 !!! 25! 5!
"+,- ,-$" &$/K $ be1 be2 be3 +,- ,-$ &$/K " be1 be2 be3
&1 5! ! 125
&1 15! 21! 3!!!
&3 1!!*.3 1!2! 225 &a1 155 212! 55!
&
&3 1!!*.3 1!2! 15
&
&1 15!! 21! 3!!!
&a1 5! 212! 3!5!&a2 1!! 212! 25!
0
&3 1!!*.3 1!2! 255!
0
&1 15! 21! 3!!!
&a2 15! 21! 3!!!
&a1 13*.5 212! *!!
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&$/K "+,- ,-$" $ $y $n $ny t % b b- K
&1
3!!! 55!!
25! 525! 1.! 12! 5! 25! 5! 2.22
&1 25! 525! 1.! 12! 5! 25! 15! 2.*
&3 25! 525! 1.! 12! !! 3!! 1!!*.333 2.
&a1 25! 525! 1.! 12! !! 2!! 155 2.
&a2
& 3!!! 3!!!
25! 25! 1 12! !! 2!! 1!! 2.3
&1 25! 25! 1 12! 5! 25! 5! 2.3*
&3 25! 25! 1 12! !! 3!! 1!!*.333 2.
&a1 25! 25! 1 12! !! 2!! 5! 2.1
&1
0 3!!! 5!
25! 5!! 1.3 12! 5! 25! 15! 2.*!
&a2 25! 5!! 1.3 12! 5! 25! 15! 2.*!
&3 25! 5!! 1.3 12! !! 3!! 1!!*.333 2.*
&a1 25! 5!! 1.3 12! !! 2!! 13*.5 2.2
&a1
4 2!!! 55!!
15! 525! 3.!!!
&1 15! 525! 3.!!! % min =
&a1 15! 525! 3.!!!
&3 15! 525! 3.!!!
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"+,- (beb61) & (t%)
1 2 !.2
2 !.2
3 2.3 !.2
.** !.3
"+,- & (beb61) & (t%)
1 .5 !.3
2 2.* !.23 2.3 !.2
3.5 !.3
"+,- 0 (beb61) & (t%)
1 !.2
2 !.2
3 2.3 !.2
5. !.3
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+b +p 7 % min 8eni9 pelat
51*25!!!! 5!!!!!! .*3-:!! 1!.
;ua ara%531225!!!! 5!!!!!! .!2-:!! 1!.
1!*!!!!!! 3!!!!!! .!2-:!1 1!.
22*. 3!!!!!! .3-:!! 1!.
7 m 1.5-:!1
2. 3!!!!!! .1 5.13
;ua ara%51!5!!!! 3!!!!!! 13.12 5.13
1!*!!!!!! 3!!!!!! !.21 5.13
2*3*. 3!!!!!! .1* 5.13
7 m 1.!*
531225!!!! *!!!!!! *.1* 5.*!
;ua ara%531225!!!! *!!!!!! *.1* 5.*!
1!*!!!!!! 3!!!!!! !.21 5.*!
2!1. 3!!!!!! .32 5.*!
7 m 1.!*
9atu ara%$21
5.2
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II.2 PERHITUNGAN PELAT LANTAI 2 DAN LANTAI 3
f'c 22 Mpa
fy 3! Mpa
"ipe bal#k$
b %$1 $2 $3
&1 !!! 25! 5!
&2 55!! 5! 3!!! 3!! !!
&3 *5!! 5! 3!! !!
&a1 55!! 5! 2!! !!
&a2 !!! 25! 5!
"+,- ,-$" &$/K " be1 be2 be3 "+,- - (beb61) & (t%)
1 !.2
-
&1 15! 21! 3!!! 2 !.2
&2 15 222! 555! 3 .5* !.3
&a1 155 212! 55! .** !.3
"+,- < (beb61) & (t%)
<
&1 15! 21! 3!!! 1 !.2
&2 1!5! 222! 3!5! 2 !.2
3 2.5 !.3
2.5 !.3
G
&1 15! 21! 3!25 "+,- G (beb61) & (t%)
&2 5! 212! 5! 1 !.2&a1 13*.5 212! 5! 2 !.2
3 3.5 !.3
&1 15! 5! 2!!! 5. !.3
&2 15 222! 355! "+,- (beb61) & (t%)
&a1 155 212! 35! 1 .*5! !.3
2 !.2
3 .*5 !.3
.5*3 !.3
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Balok "+,- ,-$" $ $y $n $ny t % b b- K
&1
- 3!!! 55!!
25! 525! 1.!1 12! 5! 25! 15! 2.*
&1 25! 525! 1.!1 12! 5! 25! 15! 2.*
&2 25! 525! 1.!1 12! !! 3!! 15 2.*
&a1 25! 525! 1.!1 12! !! 2!! 155 2.
&1
< 3!!! 3!!!
25! 25! 1 12! 5! 25! 15! 2.*
&1 25! 25! 1 12! 5! 25! 15! 2.*
&2 25! 25! 1 12! !! 3!! 1!5! 2.2*
&a1 25! 25! 1 12! !! 3!! 1!5! 2.2*
&1
G 3!!! 5!
25 5! 1.!3 12! 5! 25! 15! 2.*
&1 25 5! 1.!3 12! 5! 25! 15! 2.*
&2 25 5! 1.!3 12! !! 2!! 5! 2.1
&a1 25 5! 1.!3 12! !! 2!! 13*.5 2.2!
&a1
2!!! 35!!
15! 325! 1.*51 12! !! 2!! 155 2.
&1 15! 325! 1.*51 12! 5! 25! 15! 2.*
&a1 15! 325! 1.*51 12! !! 2!! 155 2.
&2 15! 325! 1.*51 12! !! 3!! 15 2.*
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II.2.1 BALOK KANTILEVER
"+,- ,-$" &$/K " be1 be2 be3 "+,- K (beb61) & (t%)
+
&1 35 ! 12!! 1 1.5 !.2
&2 5! ! 2*5 2 1. !.3
&2 5! ! 2*5 3 1. !.3
K
&1 25 21! 15! "+,- / (beb61) & (t%)
&2 *!! 222! 215 1 1.5 !.2
&2 *!! 222! 215 2 1.25 !.225
M
&1 5! ! 135!
&1 ! ! 135!
&2 35 ! 25!
/&1 25 1*! 1!!
&2 5 1! 15
Balok "+,- ,-$" $ $y $n $ny t % b b- K
&1
+ 15!! 3!!!
12!! 2*5 2.! % min =$21
&2 12!! 2*5 2.! 1.3
&2 12!! 2*5 2.!
&1
> 15!! !!!
12!! 3*5 3.23 % min =$21
&2 12!! 3*5 3.23 1.3
&2 12!! 3*5 3.23
&1K 15!! 2!!!
12!! 1*5 1.5 12! 5! 25! 25 2.13&2 12!! 1*5 1.5 12! !! 3!! *!! 2.!5
&2 12!! 1*5 1.5 12! !! 3!! *!! 2.!5
&1
$ 15!! 55!!
135! 525! 3.* % min =$21
&1 135! 525! 3.* 1.3
&2 135! 525! 3.*
&1
M 15!! 3!!!
135! 25! 2.! % min =$21
&1 135! 25! 2.! 1.3
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&2 135! 25! 2.!
&1
? 15!! 5!
135! 5!! 3.33 % min =$21
&1 135! 5!! 3.33 1.3
&2 135! 5!! 3.33
&1/ 15!! 15!!
135! 135 1.!2 ! 5! 25! 25 2.2
&2 135! 135 1.!2 ! !! 3!! 5 2.*
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+b +p 7 % min 8eni9 pelat
531225!!!! 5!!!!!! .!2 1!.
;ua ara%531225!!!! 5!!!!!! .!2 1!.
2!!!!!! 3!!!!!! 1!.*3 1!.
22* 3!!!!!! .3 1!.
7 m *.!3
531225!!!! 3!!!!!! 13.15 5.12
;ua ara%531225!!!! 3!!!!!! 13.15 5.12
2!!!!!!! 3!!!!!! 1!.1 5.12
2!!!!!!! 3!!!!!! 1!.1 5.12
7 m 12.!15
531225!!!! !*!!!!! *.2! 5.1*
;ua ara%531225!!!! !*!!!!! *.2! 5.1*
2*3* 3!!!!! .1! 5.1*
2!1 3!!!!! .21 5.1*
7 m .3
22* *!!!!!! .25* .3
;ua ara%531225!!!! *!!!!!! 11.351 .3
22* 252!!!!!! 11.22 .3
2!!!!!! 252!!!!!! 1.!! .3
7 m 11.5*
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+b +p 7 % min 8eni9 pelat
9atu ara%
9atu ara%
515!25!!!! 2!!!!!!! 1.!5 2.3;ua ara%1*!!!!!! 12*!!!!! 2.12! 2.3
1*!!!!!! 12*!!!!! 2.12! 2.3
7 m 22.3
9atu ara%
9atu ara%
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9atu ara%
521525! *353125! .55 2.35;ua ara%
5**125! *2!125!! 55.2* 2.35
7 m 1.3
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TABEL PERHITUNGAN PELAT ATAP
Fc = 22 Mpa 0.00359 b Pelat =
Fy = 390 Mpa ρb = 0.02470 h Pelat =
0.01853
0.00185
Pelat Dua Arah
TypeDaerah Ly/l
!u Ly L"
M # h $ %&
Pelat '()/*+, '*, '*, '-)*, '**, '**, '**, '/**2,
A
Lap 1.8 0.8 5.50 3.00 40 218.45 10 120 95 0.303
Lap y 1.8 0.8 5.50 3.00 13 71.00 10 120 85 0.123
Tu* 1.8 0.8 5.50 3.00 82 447.82 10 120 95 0.20
Tu* y 1.8 0.8 5.50 3.00 57 311.29 10 120 85 0.539
B
Lap 1.0 0.8 3.00 3.00 21 114.9 10 120 95 0.159
Lap y 1.0 0.8 3.00 3.00 21 114.9 10 120 85 0.198
Tu* 1.0 0.8 3.00 3.00 52 283.98 10 120 95 0.393
Tu* y 1.0 0.8 3.00 3.00 52 283.98 10 120 85 0.491
C
Lap 1. 0.8 4.75 3.00 37 202.0 10 120 95 0.280
Lap y 1. 0.8 4.75 3.00 1 87.38 10 120 85 0.151
Tu* 1. 0.8 4.75 3.00 79 431.43 10 120 95 0.598
Tu* y 1. 0.8 4.75 3.00 57 311.29 10 120 85 0.539
Pelat Satu Arah
TypeDaerah Ly/l
!u Ly L ! M # h $ %&
Pelat '()/*+, '*, '*, '()/*+, '-)*, '**, '**, '**, '/**2,
D
Lap 3.0 0.8 .00 2.00 341 1040.23 10 120 95 1.441
Lap y 3.0 0.8 .00 2.00 341 1040.23 10 120 85 1.800
Tu* 3.0 0.8 .00 2.00 341 1213.0 10 120 95 1.81
Tu* y 3.0 0.8 .00 2.00 341 1213.0 10 120 85 2.100
ρ *& 1 =
ρ *a( =
ρ *& 2 =
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1000 ** * = 20.85
120 **
ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a Tula&)a&
perlu Pa(a '**2, '**2, pa(a '**2, '**2, uut
0.00078 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200
0.00032 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200
0.0012 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200
0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200
0.00041 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200
0.00051 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200
0.00102 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200
0.00128 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200
0.00072 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200
0.00039 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200
0.0015 0.00359 341.03 392.70 #10 200 221.538415 251.3 #8 200
0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3 #8 200
ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a Tula&)a&
perlu Pa(a '**2, '**2, pa(a '**2, '**2, uut
0.00385 0.00385 35.3 55.50 #12200 221.538415 251.3 #8 200
0.0048 0.0048 413.19 55.50 #12200 221.538415 251.3 #8 200
0.00452 0.00452 429.72 55.50 #12200 221.538415 251.3 #8 200
0.00573 0.00573 48.7 55.50 #12200 221.538415 251.3 #8 200
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,embebanan ,elat "an@@a
&eban mati
&erat ,elat "an@@a !.12 2!! 1 = 2** k@m2
&erat anak tan@@a !A12 2!! = 12 k@m2
&erat keramik :9pe9i = 5 k@m2 :
B4 525 k@m2&eban i;up (Bl) 3!! k@m2
,embebanan ,elat &#r;e9
&eban mati
&erat ,elat "an@@a !.12 2!! 1 = 2** k@m2
&erat keramik :9pe9i = 5 k@m2
B4 333 k@m2
&eban i;up (Bl) 3!! k@m2
,embebanan &al#k &#r;e9
&eban mati
&erat ,elat "an@@a 333 (12 2) = 333 k@m2
&erat ;in;in@ = 5 k@m2
B4 3* k@m2
&eban i;up (Bl)
&eban i;up plat = 3!! (122) = 3!! k@m2
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&al#k anak atap
BALOK B; Bl b %
l l ly
(K@m2) (K@m2) (m) (m) (m) (m)
&a1 3 1!! 3 3 5.5 !.2 !.&a2 3 1!! 3 !.25 !.5
&al#k nak $antai 2 4an $antai 3
BALOK B; Bl b %
l l ly
(K@m2) (K@m2) (m) (m) (m) (m)
&a1 3** 25! 3 3 5.5 !.2 !.
TABEL PENU
22 Mpa !.!!35
3! Mpa !.!1*53
&al#k 4aera%b % M#men φ ; Mu
(mm) (mm) (k@m) tul. Ctama (mm) (k@m)
&a1 "umpuan 2!! !! *5.!2 1 35 .
$apan@an 2!! !! 22.* 1 35 .2
&a2 "umpuan 25! 5! 2522.5 1 15 2.52
$apan@an 25! 5! 212.1 1 15 2.1
Tulangan geser
&al#kDu Dn Dc D9 v S !A5 . ;
(k@) (?) (?) (?) (mm) (mm) (mm)
&a1 1!!
&a2 1!!
TABEL PENULANGA
22 Mpa !.!!353! Mpa !.!1*53
&al#k 4aera%b % M#men φ ; Mu
(mm) (mm) (k@m) tul. Ctama (mm) (k@m)
&a1 "umpuan 2!! !! *5.!1 1 35 .
$apan@an 2!! !! 22.*1 1 35 .2
Tulangan geser
&al#kDu Dn Dc D9 v S !A5 . ;
(k@) (?) (?) (?) (mm) (mm) (mm)&a1 1!!
fc = ρ min =
fy = ρ mak9 =
fc = ρ min =fy = ρ mak9 =
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PERHITUNGAN BALOK ANAK
&erat Sen;iri, B1
&al#k 4$ $$ 4$ $$ terpu9at 4$ $$
(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)
12 3 1!! 2.23 3.1 6 11*.23 3.2*12! 3 1!! 32.1 3 1!!
&erat Sen;iri , Be
&al#k 4$ $$ 4$ $$ terpu9at 4$ $$
(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)
12 3** 25! 3.5 3.*31 6 1!11. 25.*35
LANGAN BALOK ATAP
9elimutA ; = 2! mm m= 2!.*5
φ = !.*
Mn En F F 9 9 "ulan@an "ulan@an
(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan
2312!.*3 !.233 !.!!!!3 !.!!35 22.1 25.
531!*.2 !.2!!5 !.!!!51 !.!!35 22.1 25.
31531!.5 !.!32 !.!!!1** !.!!35 32. 3*.
2!21.532 !.!2* !.!!!11 !.!!35 32. 3*.
Syarat >arak "ul. Ge9er φ >arak
SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@
*
*
BALOK LANTAI 2 & LANTAI 3
9elimutA ; = ! mm m= 2!.*5φ = !.*
Mn En F F 9 9 "ulan@an "ulan@an
(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan
2312!.*3 !.21* !.!!! !.!!35* 2. 25.
531!*.2 !.22 !.!!!5 !.!!35* 2. 25.
Syarat >arak "ul. Ge9er φ >arak
SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@*
2 φ 13
2 φ 13
3 φ 13
3 φ 13
2 φ 13
2 φ 13
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e
B2Bu M# Mu(tum) Mu(lap) Du
4$ $$
(K@m2) (K@m2) (K@m2) (k@m) (k@m) (k@)
6 6 1.52 .53 *5.!2 22.* 53*.2!5.* 3*3.*! 2522.5 212.1 1!.!
Bu M# Mu(tum) Mu(lap) Du
(K@m2) (k@m) (k@m) (k@)
25.!* 1!1!.* 3.*5 5*23.3! 11.*
9' 9' "ulan@an "ulan@an
%a9il pakai $apan@an "umpuan
131.!2 25.
131.!2 25.
1*.21* 25.
1*.21* 25.
9' 9' "ulan@an "ulan@an
%a9il pakai $apan@an "umpuan
123.* 25.
123.* 25.
2 φ 13
2 φ 13
2 φ 13
2 φ 13
2 φ 13
2 φ 13
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tebal pelat atap ;iambil 12! mm = 12 cm
Pembebanan pada plat :
eba& *at
berat e&$r plat t. 12c* = 0.12 2400
berat pe t 2 c* = 2.00 21
berat pla6&$ $a& ra&)(a = 1 18
berat ltr( = 0.002 1000
berat lapa& apal par t. 1 c* = 1 14
!$l
eba& h$up pa$a pelat atap
A(bat beba& h$up '!ll, = 100
eba& ar hua& '!lr, = 0.02 1000
eba& ult*ate / beba& bera(t6r !u = 1.2 !$l
'ber$aar(a& : 28472013, = 1.2 34.0
= 0.8
TABEL PERHITUNGAN
Fc = 22 Mpa 0.00359
Fy = 390 Mpa ρb = 0.02470
0.01853
0.00185
Pelat Dua Arah
TypeDaerah Ly/l
!u Ly L"
M # h $
Pelat '()/*+, '*, '*, '-)*, '**, '**, '**,
A
Lap 1.8 0.8 5.50 3.00 40 218.45 10 120 95
Lap y 1.8 0.8 5.50 3.00 13 71.00 10 120 85
Tu* 1.8 0.8 5.50 3.00 82 447.82 10 120 95
Tu* y 1.8 0.8 5.50 3.00 57 311.29 10 120 85
B
Lap 1.0 0.8 3.00 3.00 21 114.9 10 120 95Lap y 1.0 0.8 3.00 3.00 21 114.9 10 120 85
Tu* 1.0 0.8 3.00 3.00 52 283.98 10 120 95
Tu* y 1.0 0.8 3.00 3.00 52 283.98 10 120 85
C
Lap 1. 0.8 4.75 3.00 37 202.0 10 120 95
Lap y 1. 0.8 4.75 3.00 1 87.38 10 120 85
Tu* 1. 0.8 4.75 3.00 79 431.43 10 120 95
Tu* y 1. 0.8 4.75 3.00 57 311.29 10 120 85
Pelat Satu Arah
TypeDaerah Ly/l
!u Ly L ! M # h $
Pelat '()/*+, '*, '*, '()/*+, '-)*, '**, '**, '**,
Lap 3.0 0.8 .00 2.00 341 1040.23 10 120 95
()/*2
ρ *& 1 =
ρ *a( =
ρ *& 2 =
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DLap y 3.0 0.8 .00 2.00 341 1040.23 10 120 85
Tu* 3.0 0.8 .00 2.00 341 1213.0 10 120 95
Tu* y 3.0 0.8 .00 2.00 341 1213.0 10 120 85
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1 = 288 ()/*+
1 = 42 ()/*+
1 = 18 ()/*+
1 = 2 ()/*+
1 = 14 ()/*+
= 34.00 ()/*+
1 100 ()/*+
1 = 20 ()/*+
120()/*+
1. !ll 0.5 !lr
1. 100 0.5 2!
PELAT ATAP
b Pelat = 1000 ** * = 20.85
h Pelat = 120 **
%& ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a
'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,
0.303 0.00078 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.123 0.00032 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.20 0.0012 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.159 0.00041 0.00359 341.03 392.70 #10 200 221.538415 251.30.198 0.00051 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.393 0.00102 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.491 0.00128 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.280 0.00072 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.151 0.00039 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.598 0.0015 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3
%& ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a
'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,
1.441 0.00385 0.00385 35.3 55.50 #12200 221.538415 251.3
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1.800 0.0048 0.0048 413.19 55.50 #12200 221.538415 251.3
1.81 0.00452 0.00452 429.72 55.50 #12200 221.538415 251.3
2.100 0.00573 0.00573 48.7 55.50 #12200 221.538415 251.3
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Tula&)a&
uut
#8 200
#8 200
#8 200
#8 200
#8 200#8 200
#8 200
#8 200
#8 200
#8 200
#8 200
#8 200
Tula&)a&
uut
#8 200
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#8 200
#8 200
#8 200
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&al#k anak atap
BALOK B; Bl b %
l l ly
(K@m2) (K@m2) (m) (m) (m) (m)
&a1 3 1!! 3 3 5.5 !.2 !.&a2 3 1!! 3 !.25 !.5
&al#k nak $antai 2 4an $antai 3
BALOK B; Bl b %
l l ly
(K@m2) (K@m2) (m) (m) (m) (m)
&a1 3** 25! 3 3 5.5 !.2 !.
TABEL PENU
22 Mpa !.!!35
3! Mpa !.!1*53
&al#k 4aera%b % M#men φ ; Mu
(mm) (mm) (k@m) tul. Ctama (mm) (k@m)
&a1 "umpuan 2!! !! *5.!2 1 35 .
$apan@an 2!! !! 22.* 1 35 .2
&a2 "umpuan 25! 5! 2522.5 1 15 2.52
$apan@an 25! 5! 212.1 1 15 2.1
Tulangan geser
&al#kDu Dn Dc D9 v S !A5 . ;
(k@) (?) (?) (?) (mm) (mm) (mm)
&a1 1!!
&a2 1!!
TABEL PENULANGA
22 Mpa !.!!353! Mpa !.!1*53
&al#k 4aera%b % M#men φ ; Mu
(mm) (mm) (k@m) tul. Ctama (mm) (k@m)
&a1 "umpuan 2!! !! *5.!1 1 35 .
$apan@an 2!! !! 22.*1 1 35 .2
Tulangan geser
&al#kDu Dn Dc D9 v S !A5 . ;
(k@) (?) (?) (?) (mm) (mm) (mm)&a1 1!!
fc = ρ min =
fy = ρ mak9 =
fc = ρ min =fy = ρ mak9 =
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PERHITUNGAN BALOK ANAK
&erat Sen;iri, B1
&al#k 4$ $$ 4$ $$ terpu9at 4$ $$
(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)
12 3 1!! 2.23 3.1 6 11*.23 3.2*12! 3 1!! 32.1 3 1!!
&erat Sen;iri , Be
&al#k 4$ $$ 4$ $$ terpu9at 4$ $$
(K@m) (K@m2) (K@m2) (K@m2) (K@m2) K@ (K@m2) (K@m2)
12 3** 25! 3.5 3.*31 6 1!11. 25.*35
LANGAN BALOK ATAP
9elimutA ; = 2! mm m= 2!.*5
φ = !.*
Mn En F F 9 9 "ulan@an "ulan@an
(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan
2312!.*3 !.233 !.!!!!3 !.!!35 22.1 25.
531!*.2 !.2!!5 !.!!!51 !.!!35 22.1 25.
31531!.5 !.!32 !.!!!1** !.!!35 32. 3*.
2!21.532 !.!2* !.!!!11 !.!!35 32. 3*.
Syarat >arak "ul. Ge9er φ >arak
SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@
*
*
BALOK LANTAI 2 & LANTAI 3
9elimutA ; = ! mm m= 2!.*5φ = !.*
Mn En F F 9 9 "ulan@an "ulan@an
(?.mm) (?.mm) %a9il pakai %a9il pakai $apan@an "umpuan
2312!.*3 !.21* !.!!! !.!!35* 2. 25.
531!*.2 !.22 !.!!!5 !.!!35* 2. 25.
Syarat >arak "ul. Ge9er φ >arak
SK. S?+ 3..A S !A5 ; Sen@kan@ Sen@kan@*
2 φ 13
2 φ 13
3 φ 13
3 φ 13
2 φ 13
2 φ 13
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e
B2Bu M# Mu(tum) Mu(lap) Du
4$ $$
(K@m2) (K@m2) (K@m2) (k@m) (k@m) (k@m) (k@)
6 6 1.52 .53 *5.!2 22.* 53*.2!5.* 3*3.*! 2522.5 212.1 1!.!
Bu M# Mu(tum) Mu(lap) Du
(K@m2) (k@m) (k@m) (k@)
25.!* 1!1!.* 3.*5 5*23.3! 11.*
9' 9' "ulan@an "ulan@an
%a9il pakai $apan@an "umpuan
131.!2 25.
131.!2 25.
1*.21* 25.
1*.21* 25.
9' 9' "ulan@an "ulan@an
%a9il pakai $apan@an "umpuan
123.* 25.
123.* 25.
2 φ 13
2 φ 13
2 φ 13
2 φ 13
2 φ 13
2 φ 13
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PERHITUNGAN TANGGA
H ,enentuan anak tan@@a ;en@an rumu9 I
6 ;irencanakan #ptra;e = 2! cm
6 ;irencanakan antra;e = 3! cm6 maka I 2 . a : # = ! cm
6 be;a tin@@i lantai = 25 cm
6 tin@@i b#r;e9 = 22! cm
6 banyak #ptra;e = 252!
= 21.25 bua%
= 22 bua%
ma9in@ = 222
= 11 b%
6 kemirin@an tan@@a = arc tan (2!3!)
= arc tan !A= 3!.
= 31
H 4irencanakan 9truktur tan@@a
lebar tan@@a = 2!! cm
tebal plat = 12 cm
lan@ka% ;atar = 3! cm
lan@ka% naik = 2! cm
H ,embebanan 9truktur tan@@a
6 berat 9en;iri plat tan@@a !A1 . 2!!
#
#
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!A
6 berat anak tan@@a !A5 . !A1 . 2!!
!A
6 berat keramik (2cm) 2 . 2
6 berat 9pe9i (2cm) 2 . 21
J4
6 B$ = 3!! k@m26Bu 1 = 1A2 J4 : 1A J$
= 1A2 . *1! : 1A . 3!!
= 15 k@m2
H ,embebanan b#r;e9
6 berat 9en;iri b#r;e9 !A12 . 2!!
6 berat penutup lantai keramik 2. 2
6 berat 9pe9i 2. 21
B4
6 B$ = !! k@m2
6Bu 2 = 1A2 J4 : 1A J$
= 1A2 . 3* : 1A . !!
= 1!3. k@m2
H &e9ar beban merata
6 Bu 1 = 15 k@m2
6 Bu 2 = 1!3. k@m2
H Men@%itun@ pan8an@ rua9 1 6 2
√ 22! : 3! = 32.!2 cm
H Eencana ;imen9i anak tan@@a
6 12 . 3! . 2!
= 3!!
0 =
= 3.!5 cm
= 3 cm
6 12 . 0 . t
$ua9 ∆ &0 =
√ 30 + 20
Maka $ua9 ∆ &0 =
23 23 23 23 23
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2! = 12 . 3 . t
2! = t
1*
t = 15 cm
6 = 35!
!3.1
= !.
c#9 α
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L
= 5! k@m2
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= 2*! k@m2
= * k@m2
= 2 k@m2
= 3! k@m2
= 2** k@m2
= * k@m2
= 2 k@m2
= 3* k@m2
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tebal pelat atap ;iambil 12! mm = 12 cm
Pembebanan pada plat :
eba& *at
berat e&$r plat t. 12c* = 0.12 2400
berat pe t 2 c* = 2.00 21
berat pla6&$ $a& ra&)(a = 1 18
berat ltr( = 0.002 1000
berat lapa& apal par t. 1 c* = 1 14
!$l
eba& h$up pa$a pelat atap
A(bat beba& h$up '!ll, = 100
eba& ar hua& '!lr, = 0.02 1000
eba& ult*ate / beba& bera(t6r !u = 1.2 !$l
'ber$aar(a& : 28472013, = 1.2 34.0
= 0.8
TABEL PERHITUNG
Fc = 22 Mpa 0.00359
Fy = 390 Mpa ρb = 0.02470
0.01853
0.00185
Pelat Dua Arah
TypeDaerah Ly/l
!u Ly L"
M # h $
Pelat '()/*+, '*, '*, '-)*, '**, '**, '**,
A
Lap 1.8 0.8 5.50 3.00 40 218.45 10 120 95
Lap y 1.8 0.8 5.50 3.00 13 71.00 10 120 85
Tu* 1.8 0.8 5.50 3.00 82 447.82 10 120 95
Tu* y 1.8 0.8 5.50 3.00 57 311.29 10 120 85
B
Lap 1.0 0.8 3.00 3.00 21 114.9 10 120 95Lap y 1.0 0.8 3.00 3.00 21 114.9 10 120 85
Tu* 1.0 0.8 3.00 3.00 52 283.98 10 120 95
Tu* y 1.0 0.8 3.00 3.00 52 283.98 10 120 85
C
Lap 1. 0.8 4.75 3.00 37 202.0 10 120 95
Lap y 1. 0.8 4.75 3.00 1 87.38 10 120 85
Tu* 1. 0.8 4.75 3.00 79 431.43 10 120 95
Tu* y 1. 0.8 4.75 3.00 57 311.29 10 120 85
Pelat Satu Arah
TypeDaerah Ly/l
!u Ly L ! M # h $
Pelat '()/*+, '*, '*, '()/*+, '-)*, '**, '**, '**,
Lap 3.0 0.8 .00 2.00 341 1040.23 10 120 95
()/*2
ρ *& 1 =
ρ *a( =
ρ *& 2 =
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DLap y 3.0 0.8 .00 2.00 341 1040.23 10 120 85
Tu* 3.0 0.8 .00 2.00 341 1213.0 10 120 95
Tu* y 3.0 0.8 .00 2.00 341 1213.0 10 120 85
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1 = 288 ()/*+
1 = 42 ()/*+
1 = 18 ()/*+
1 = 2 ()/*+
1 = 14 ()/*+
= 34.00 ()/*+
1 100 ()/*+
1 = 20 ()/*+
120()/*+
1. !ll 0.5 !lr
1. 100 0.5 2!
N PELAT ATAP
b Pelat = 1000 ** * = 20.85
h Pelat = 120 **
%& ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a
'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,
0.303 0.00078 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.123 0.00032 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.20 0.0012 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.159 0.00041 0.00359 341.03 392.70 #10 200 221.538415 251.30.198 0.00051 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.393 0.00102 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.491 0.00128 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.280 0.00072 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.151 0.00039 0.00359 305.13 318.10 #9 200 221.538415 251.3
0.598 0.0015 0.00359 341.03 392.70 #10 200 221.538415 251.3
0.539 0.00140 0.00359 305.13 318.10 #9 200 221.538415 251.3
%& ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a
'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,
1.441 0.00385 0.00385 35.3 55.50 #12200 221.538415 251.3
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1.800 0.0048 0.0048 413.19 55.50 #12200 221.538415 251.3
1.81 0.00452 0.00452 429.72 55.50 #12200 221.538415 251.3
2.100 0.00573 0.00573 48.7 55.50 #12200 221.538415 251.3
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Tula&)a&
uut
#8 200
#8 200
#8 200
#8 200
#8 200#8 200
#8 200
#8 200
#8 200
#8 200
#8 200
#8 200
Tula&)a&
uut
#8 200
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#8 200
#8 200
#8 200
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Tebal pelat la&ta 2 $a& la&ta 3 $a*bl 120 ** = 12 c*
Pembebanan pada plat :
eba& *at
berat e&$r plat t. 12c* = 0.12 2400
berat (era*( t.1 c* = 1.00 24
berat pe t 2 c* = 2.00 21
berat pla6&$ $a& ra&)(a = 1 18
berat ltr( = 0.002 1000
berat lapa& apal par t. 1 c* = 1 14
!$l
eba& h$up pa$a pelat la&ta 2 $a& la&ta 3
eba& h$up u&tu( ara*a '!ll, = 250
eba& ult*ate / beba& bera(t6r !u = 1.2 !$l
'ber$aar(a& : 28472013, = 1.2 388.0
= 85.
TABEL PERHITUNGAN PELAT LA
Fc = 22 Mpa 0.00359
Fy = 390 Mpa ρb = 0.02470
0.01853
0.00185
TypeDaerah Ly/l
!u Ly L " M # h $
Pelat '()/*+, '*, '*, '-)*, '**, '**, '**,
E
Lap 1.8 85. 5.50 3.00 40 311.2 10 120 95
Lap y 1.8 85. 5.50 3.00 13 101.28 10 120 85
Tu* 1.8 85. 5.50 3.00 82 38.81 10 120 95
Tu* y 1.8 85. 5.50 3.00 57 444.05 10 120 85
Lap 1.0 85. 3.00 3.00 21 13.0 10 120 95
Lap y 1.0 85. 3.00 3.00 21 13.0 10 120 85Tu* 1.0 85. 3.00 3.00 52 405.10 10 120 95
Tu* y 1.0 85. 3.00 3.00 52 405.10 10 120 85
G
Lap 1. 85. 4.75 3.00 37 288.24 10 120 95
Lap y 1. 85. 4.75 3.00 1 124.5 10 120 85
Tu* 1. 85. 4.75 3.00 79 15.44 10 120 95
Tu* y 1. 85. 4.75 3.00 57 444.05 10 120 85
H
Lap 1.8 85. 3.50 2.00 40 138.50 10 120 95
Lap y 1.8 85. 3.50 2.00 13 45.01 10 120 85
Tu* 1.8 85. 3.50 2.00 82 283.92 10 120 95
Tu* y 1.8 85. 3.50 2.00 57 197.3 10 120 85
()/*2
ρ *& 1 =
ρ *a( =
ρ *& 2 =
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1 = 288 ()/*+
1 = 24 ()/*+
1 = 42 ()/*+
1 = 18 ()/*+
1 = 2 ()/*+
1 = 14 ()/*+
= 388.00 ()/*+
1 250 ()/*+
1. !ll
1. 250
NTAI 2 DAN LANTAI 3
b Pelat = 1000 ** * = 20.85
h Pelat = 120 **
%& ρ ρ A htu&) A pa(a Tula&)a& A uut A pa(a
'/**2, perlu Pa(a '**2, '**2, pa(a '**2, '**2,
0.432 0.00112 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.175 0.00045 0.00359 305.13 318.10 #9 200 221.5384 251.3
0.885 0.00233 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.78 0.00201 0.00359 305.13 318.10 #9 200 221.5384 251.3
0.227 0.00058 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.283 0.00073 0.00359 305.13 318.10 #9 200 221.5384 251.30.51 0.0014 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.701 0.00183 0.00359 305.13 318.10 #9 200 221.5384 251.3
0.399 0.00103 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.21 0.0005 0.00359 305.13 318.10 #9 200 221.5384 251.3
0.852 0.00224 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.78 0.00201 0.00359 305.13 318.10 #9 200 221.5384 251.3
0.192 0.00049 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.078 0.00020 0.00359 305.13 318.10 #9 200 221.5384 251.3
0.393 0.00102 0.00359 341.03 392.70 #10 200 221.5384 251.3
0.341 0.00088 0.00359 305.13 318.10 #9 200 221.5384 251.3
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Tula&)a&
uut
#8 200
#8 200
#8 200
#8 200
#8 200
#8 200#8 200
#8 200
#8 200
#8 200
#8 200
#8 200
#8 200
#8 200