REKAPITULASI PENULANGAN BALOK
Proyek :
Tump.Tul Atas Lap.Tul Atas Tump.Tul Atas Tump.Tul Atas Lap.Tul Atas Tump.Tul Atas
No balok No. Btg Mt kgm Ml kgm N kg Tump.Tul Torsi Lap.Tul Torsi Tump.Tul Torsi No balok No. Btg Mt kgm Ml kgm N kg Tump.Tul Torsi Lap.Tul Torsi Tump.Tul Torsi
Dimensi ETABS Tump.Tul Bawah Lap.Tul Bawah Tump.Tul Bawah Dimensi ETABS Tump.Tul Bawah Lap.Tul Bawah Tump.Tul Bawah
KONTROL LUAS TULANGAN
Proyek : Rumah Tinggal Bapak Ronald Manyar Surabaya
Kode KP K1a K1b K1c K1d K2a K2b
b (mm) 130 600 650 300 D 150 150 h (mm) 130 150 150 300 300 300 650 Ag (mm2) 16900 90000 97500 90000 70714.29 45000 97500 jml (bh) 4 8 8 12 6 4 8 d (mm) 10 13 13 16 13 13 13 A (mm2) 314.2857 1062.286 1062.286 2413.714 796.7143 531.1429 1062.286 % 1.86% 1.18% 1.09% 2.68% 1.13% 1.18% 1.09%
Kode K1d SLOOF B1a B1b B1c B1d B1e
b (mm) D 130 150 150 150 200 200 h (mm) 300 400 550 500 500 400 350 Ag (mm2) 70714.29 52000 82500 75000 75000 80000 70000 jml (bh) 6 6 7 7 6 8 6 d (mm) 13 13 16 13 13 13 13 A (mm2) 796.7143 796.7143 1408 929.5 796.7143 1062.286 796.7143 % 1.13% 1.53% 1.71% 1.24% 1.06% 1.33% 1.14% Kode B1f B1g B2a B2b B1c b (mm) 150 150 150 150 130 h (mm) 250 400 400 300 130 Ag (mm2) 37500 60000 60000 45000 16900 jml (bh) 5 5 5 4 4 d (mm) 13 13 12 12 10 A (mm2) 663.9286 663.9286 565.7143 452.5714 314.2857 % 1.77% 1.11% 0.94% 1.01% 1.86%
Data :
* Nama Kolom C4
* Dimensi Kolom h : 300 mm
b : 500 mm
* Selimut Beton : 65 mm
* Kualitas beton K 225 Mpa
* fy : 400 Mpa * f'c ( 0.083*K Beton ) : 25 Mpa * Diameter : Tulangan : 22 mm Sengkang : 10 mm * d' : 86 mm * d : 214 mm * d'/h : 0.28666667 * Nu : 800 kN 74535 * Mu 240 kNm 122623380 * Vu 0 kN * Ag 1500 cm2 150000 mm2 * f.Ag.0.85.fc’ 20718.75 untuk f 0.65 25500 untuk f 0.8 * f.Ag.0.5.fc’.h 478125 untuk f 0.85 * Nu 0.38612368 untuk f 0.65 f.Ag.0.85.fc’ * Nu 0.31372549 untuk f 0.8 f.Ag.0.85.fc’ * Mu 0.501960784 f.Ag.0.5.fc’.h * r : 0.0175 %
( Iterasi Kolom CUR IV )
* b : 1
( Iterasi Kolom CUR IV )
* r 0.000175 r*b * As 26.25 mm2 r*b*d * Atul 380.2857143 mm2 1/4*22/7*D2 * n Tul 0.069027047 D 22 * n Pakai 2 D 25 * Diameter sengkang : 10 mm * fy sengkang 240 Mpa * Vc 89.16666667 kN 1/6*fc’*b*d * Vn 0 kN Vu/0.6 * Vn < Vc 0 < 240
Perhitungan Kolom Dengan Daktilitas Terbatas
Perhitungan tulangan kolom
Memakai tulangan geser min * S min : 107 d/2 * S pasang 100 mm Kesimpulan * Dimensi kolom h : 300 mm b : 500 mm * Selimut beton 65 mm * Tulangan 2 D 25 * Sengkang Tumpuan 10 - 100 mm 1/4 l Lapangan 10 - 150 mm 1/2 l
3.3 REKAPITULASI PENULANGAN BALOK
Tump.Tul Atas Lap.Tul Atas No balok No. Btg Mt kgm Ml kgm N kg Tump.Tul Torsi Lap.Tul Torsi Tump.Tul Bawah Lap.Tul Bawah
Tul Begel Tul Begel
B1 52-55 3200 2305 6403 2 D13 2 D13 (15/40) - -2 D13 2 D13 d8-100 d8-200 B2 50 8810 6600 8904 4 D13 2 D13 (15/50) 2d8 2d8 2 D13 3 D13 d8-100 d8-200 B3 74 3775 3218 5316 2 D13 2 D13 (15/25) - -2 D13 2 D13 d8-75 d8-150 B4 88 2657 148 2930 2 D13 2 D13 (10/25) - -2 D13 2 D13 d8-150 d8-200 B5 56 2458 1720 4674 2 D13 2 D13 (15/30) - -2 D13 2 D13 d8-200 d8-200 B6 63 16642 15138 18505 7 D13 3 D13 (20/50) 2d8 2d8 3 D13 6 D13 d8-75 d8-100 B7 64,65 14887 9000 7512 6 D13 3 D13 (20/50) - -3 D1-3 4 D13 d8-150 d8-200 B8 76 2188 1543 3715 2 D13 2 D13 (20/50) 2 D13 2 D13 d8-200 d8-200 B9 68 1677 6708 5458 2 D13 2 D13 (20/40) 2 D13 3 D13 BAB 3 HAL. 8
d8-200 d8-200
Tump.Tul Atas Tump.Tul Torsi Tump.Tul Bawah Tul Begel 2 D13 -2 D13 d8-100 4 D13 2d8 2 D13 d8-100 2 D13 -2 D13 d8-75 2 D13 -2 D13 d8-150 2 D13 -2 D13 d8-200 7 D13 2d8 3 D13 d8-75 6 D13 -3 D1-3 d8-150 2 D13 2 D13 d8-200 2 D13 2 D13 BAB 3 HAL. 10
d8-200
DAFTAR ISI :
I. DATA-DATA BANGUNAN II. PROSEDUR PERHITUNGAN III. PERHITUNGAN PELAT IV. PERHITUNGAN BALOK V. PERHITUNGAN KOLOM VI. PERHITUNGAN PONDASI VII. LAMPIRAN
PERHITUNGAN STRUKTUR
II. PROSEDUR PERHITUNGAN
Umum :
Kombinasi beban berfaktor : U = 1.2D + 1.6L Reduksi kekuatan bahan :
- Lentur , Ø = 0.8
- Axial bersengkang (Kolom), Ø = 0.65
- Geser , Ø = 0.6
Pembebanan :
Sesuai Peraturan Pembebanan 1983 Beban pada plat lantai :
I. Beban Mati a) 1. Plat beton = 0.12 m X 2400 kg/m3 = 288 kg/m2 2. Spesi = 2 cm X 21 kg/m2/cm = 42 kg/m2 3. keramik = 24 kg/m2 = 24 kg/m2 4. Rangka plafon = 7 kg/m2 = 7 kg/m2 5. Penutup plafon = 11 kg/m2 = 11 kg/m2 + 372 kg/m2 b) 4. Dinding bata = 4.27 m X 250 kg/m2 = 1068 kg/m'
II. Beban Hidup
1. Lantai rumah = 200 kg/m2
Kombinasi pembebanan U = 1.2D + 1.6L
II.A. Perhitungan Pelat : II.A.1 Data - data :
Tebal plat = t Panjang arah x = lx Panjang arah y = ly Tebal selimut beton = 20 cm d = t - selimut - 1.2 tulangan b = 1 m
II.A.2 Gaya dalam :
Beban-beban yang bekerja : 1. Beban mati
2. Beban hidup
Wu = 1.2 * qD + 1.6 * qL lihat tabel PBI 71 : X untuk Mlx X untuk Mly X untuk Mtx X untuk Mty Didapat Momen : Mlx = 0.001 * Wu * lx2 * X Mly = 0.001 * Wu * lx2 * X Mtx = - 0.001 * Wu * lx2 * X Mty = - 0.001 * Wu * lx2 * X f = 0.8
II.A.3 Desain penulangan :
Penulangan Lapangan / Tumpuan : (Momen sesuaikan dengan hasil hitungan PBI 71) Rn perlu = Mn perlu / ( b . d^2 )
ρ balance = 0.85 . fc'/fy x 600/(600+fy) ρ max = 0.75 . ρ balance
r min u/ plat dg.Tul.fy240Mpa (altf SKSNI dan CUR) =0.0025
m = fy/0.85 . fc'
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
Coba diameter tulangan, didapat As1
Jarak tulangan (s cm) = 1000 cm / (Asperlu/As1)
II.B. Perhitungan Balok : II.B.1 Data - data :
Lebar balok = b Tinggi balok = h Tebal selimut beton = 30 cm d = h - selimut - 1.2 tulangan
II.B.2 Gaya dalam :
Beban-beban yang bekerja :
1. Beban mati (merata/m2 plat dan berat dinding bata/m'balok) a. merata/m2 plat
b. dinding bata /m' balok 2. Beban hidup
Wu = 1.2 * qD + 1.6 * qL
Dengan bantuan program SAP 2000 didapat :
1. Gaya dalam : Momen lapangan/tumpuan, Gaya geser tumpuan, Torsi balok, dan axial kolom 2. Desain beton bertulang
Untuk desain balok, ambil output : Momen dan geser balok. Mutu beton = fc' (Mpa)
Mutu baja = fy (Mpa)
f = 0.8
II.B.3 Desain penulangan : Lentur Balok :
Mu = momen max. di tumpuan/lapangan (sesuai SAP 2000) Mn perlu = Mu/Ø = Mu / 0.8
dimensi balok = b (lebar), h (tinggi) dan d ( h-0.5tul-cover) E (modulus elastisitas baja tul) = 200 000 Mpa
xb (garis netral kondisi seimbang) = ( ξcu / ( ξcu + ξy ) ) x d x max = 0.75 . xb
C max = 0.85 . fc' . b . β1 . xmax
utk fc' < 27.5 Mpa β1 = 0.85 …(C.K.Wang hal 46)
Penulangan Lapangan / Tumpuan : Rn perlu = Mn perlu / ( b . d^2 ) ρ balance = 0.85 . fc'/fy x 600/(600+fy) ρ max = 0.75 . ρ balance
r min = 1.4 / fy.
m = fy/0.85 . fc'
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
Coba diameter tulangan, didapat As1 Jumlah tulangan = As / As1
Geser Balok :
Kuat geser balok beton Vc = 1/6
√ (
fc' bw . d)Reduksi kekuatan terhadap geser Ø = 0.6 jika : Vu < 0.5 ØVc ----> tidak perlu tul geser
jika : 0.5 ØVc < Vu < ØVc ----> pakai tul geser minimal Vs min = 1/3 (Mpa) . bw . d
Øvs = vu < Øvc vu = Vu / bd
Øvc = 1/6
√
fc'Øvs = (vu - Øvc)
A sengk = (vu - Øvc) b y / (Øfy) A sengk min = b.y / (3 fy)
II.C. Perhitungan Kolom :
Menggunakan program desain beton bertulang dengan SAP 2000
berdasarkan desain penulangan ACI dengan modifikasi ke SKSNI
(Faktor beban dan reduksi kekuatan disesuaikan dengan SKSNI)
II.D. Perhitungan Pondasi :Data :
Allowable soil strength
=
σ(kg/cm2)
Kuat tekan beton
=
fc'
(kg/cm2)
Kuat leleh baja tulangan
=
fy
(kg/cm2)
C
o
ncrete
mass/vol.=
2.4 (ton/m3)Axial load
=
P (kg)Moment
=
M (kg.m)Try width of found.
=
B (cm)Try width of column
=
b (cm)Hitung pondasi strous :
Coba jumlah pondasi : = n buah
diameter strous = =f cm Pmax. = Axial / n + M.X1 / 2.(X1^2+X2^2)
Kekuatan geser cleaf(lekatan tanah) di kedalaman 5 m diambil 100 kg/cm
Hitung pile cap :
Thicknes of found. = t cm
Weight of foundation = w kg/cm2
2 way shear Chek
Vu = P kg
b
= 1d = t - selimut
bo = 4 x (d + b )
f
Vc =0,6 [
1/6 (1+2/b
f
c'. bo . D ]f
Vc > Vu ..? If yes, ok tebal pilecap cukup1 way shear Chek
f
Vc = 0,6 [1/6
f
c'. B . D ]f
Vc > Vu ..? If yes, ok tebal pilecap cukupReinforcement for bending moment
Mu = M kg.m
Q pile cap
L1 P
L tebal pile cap = t (m) Lebar pile cap = B (m)
L1 = Jarak strous ke titik pusat (m) L = jarak kantilever total (m) Q (b.s. pile cap) = t.L.B (t/m) P (daya dukung strous) Mu = 1.2 x ( P.L1 - 1/2.Q.L^2)
r
min. = 1.4/fy Rn = Mu / B.d^2 m = fy / 0.85 fc'r =
1
/m [ 1-(1-2.m.Rn)/fy ]^0.5 > (r
min.) As =r.
B.d.try f didapat As1
number = As / As1 jarak tulangan (s)
Sloof :
Beban axial sloof
= 10% ax.kolomCoba penampang sloof = b cm
= h cm
Cek tekan beton = Beban axial sloof / (b.h)< 75 kg/cm2 ?
As min. 1% beton
ambil n besi = 4 buah
f besi sloof > min 1,2 cm ?
I. DATA-DATA BANGUNAN
Data Bangunan :
Nama : Rumah Tinggal Manyar
Alamat : Kertajaya Indah Timur IX / 06 blok O-361 Jumlah Lantai : 2 (dua)
Tinggi struktur : 8.77 m Luas Bangunan : 500 m2 Perhitungan Struktur :
Sistem struktur : Rangka beton bertulang Metoda analisa : - Analisa statis by SAP 2000
- Gaya dalam pelat by PBI 71 Metoda desain : Kekuatan Batas
Standard/Ref. : - PBI 71 - PBI 83 - SKSNI 90 Data teknis : Tinggi kolom h1 : 4.27 m Tinggi kolom h2 : 4.5 m Perletakan kolom : jepit Mutu bahan beton fc' : 20 Mpa Mutu baja deform fy : 400 Mpa Mutu baja polos fy : 240 Mpa
PERHITUNGAN STRUKTUR
PERHITUNGAN PLAT
PROYEK - RUMAH MANYAR
PERHITUNGAN TANDON AIR BAWAH 1. Plat dinding tandon :
Pa (tekanan tanah aktif) = ca .w .h^2/2
ca (coefisien tekanan aktif) = 0.3
w (berat jenis tanah) = 1800 kg/m3
h (kedalaman bangunan) = 2 m
Pa = 1080 kg/m
Mu = 1,2 x Pa x 1/3h = 864 kg.m 8.4672 kN.m
2. Plat lantai tandon :
Tebal plat = 0.15 m
Panjang arah x (lx) = 2 m
Panjang arah y (ly) = 2 m
ly / lx = 1.00
Berat volume beton = 2400 kg/m3
Tebal selimut beton = 20 mm
d = t*1000 - 20 - 5 = 125 mm
b = 1 m
Beban-beban yang bekerja : 1. Beban mati
Plat = 0.15 * 2400 = 360 kg/m2
Finishing lantai (keramik) = 0 kg/m2
Plafond + instalasi = 0 kg/m2
Total = 369 kg/m2
2. Beban hidup
Beban hidup yang bekerja = 2000 kg/m2
Wu = 1.2 * qd + 1.6 * ql = 3642.8 kg/m2
lihat tabel PBI 71 :
X untuk Mlx = 44 X untuk Mly = 44 X untuk Mtx = 0 X untuk Mty = 0 Mlx = 0.001 * Wu * lx2 * X = 641.1328 kgm = 6.28 kNm Mly = 0.001 * Wu * lx2 * X = 641.1328 kgm = 6.28 kNm Mtx = - 0.001 * Wu * lx2 * X = 0 kgm = 0.00 kNm Mty = - 0.001 * Wu * lx2 * X = 0 kgm = 0.00 kNm
Mutu baja = 240 MPa
f = 0.8 Rn perlu = Mn perlu / ( b . d^2 )
ρ balance = 0.85 . fc'/fy x 600/(600+fy) = 0.050595238
ρ max = 0.75 . ρ balance = 0.037946429
r min u/ plat dg.Tul.fy240Mpa (altf SKSNI dan CUR) = 0.0025
m = fy/0.85 . fc' = 14.11765
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
Arah Mu Mn Rn=Mn/bd2 r perlu cek r As perlu
kNm kNm N/mm2 > ρmin mm2
1. Plat vertikal x ( lap ) 8.47 10.584 0.847 0.00353 0.003528 441
tul.pakai As ada As ada>Asperlu Ø (mm) s (mm)
8 100 502 ok
PERHITUNGAN PLAT
PROYEK - RUMAH MANYAR
6. TYPE PLAT KANOPI ATAS ( tebal 10 cm )
Tebal plat = 0.12 m
Panjang arah x (lx) = 3.3 m
Panjang arah y (ly) = 4 m
ly / lx = 1.21
Berat volume beton = 2400 kg/m3
Tebal selimut beton = 20 mm
d = 0.12*1000 - 20 - 5 = 95 mm
b = 1 m
Beban-beban yang bekerja : 1. Beban mati
Plat = 0.12 * 2400 = 288 kg/m2
Finishing lantai (keramik) = 0 kg/m2
Plafond + instalasi = 15 kg/m2
Total = 369 kg/m2
2. Beban hidup
Beban hidup yang bekerja = 125 kg/m2
Wu = 1.2 * qd + 1.6 * ql = 642.8 kg/m2
lihat tabel PBI 71 :
X untuk Mlx = 25 X untuk Mly = 21 X untuk Mtx = 59 X untuk Mty = 54 Mlx = 0.001 * Wu * lx2 * X = 175.0023 kgm = 1.72 kNm Mly = 0.001 * Wu * lx2 * X = 147.001932 kgm = 1.44 kNm Mtx = - 0.001 * Wu * lx2 * X = -413.005428 kgm = -4.05 kNm Mty = - 0.001 * Wu * lx2 * X = -378.004968 kgm = -3.70 kNm
Mutu beton = 20 MPa
Mutu baja = 240 MPa
f = 0.8 Rn perlu = Mn perlu / ( b . d^2 )
ρ balance = 0.85 . fc'/fy x 600/(600+fy) = 0.050595
ρ max = 0.75 . ρ balance = 0.037946
r min u/ plat dg.Tul.fy240Mpa (altf SKSNI dan CUR) = 0.0025
m = fy/0.85 . fc' = 14.11764706
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
Arah Mu Mn Rn=Mn/bd2 r perlu cek r As perlu kNm kNm N/mm2 > ρmin mm2 Ø (mm) x ( lap ) 1.72 2.143778175 0.297 0.00124 0.0025 238 8 y ( lap ) 1.44 1.800773667 0.200 0.00083 0.0025 238 8 x ( tump ) 4.05 5.059316493 0.561 0.00234 0.0025 238 8 y ( tump ) 3.70 4.630560858 0.513 0.00214 0.0025 238 8 ket. :
s max < 1.5 tebal plat (CUR) s max < 250 mm (CUR) s min > 40 mm (PBI)
As ada As ada>Asperlu s (mm) 175 287 ok 175 287 ok 175 287 ok 175 287 ok tul.pakai
ATAP U672 -
tinggi gel. 4.1 cmDebit hujan Q = lbr. Eff X pjg.atap X Intensitas hujan
Debit hujan Q = 10.08 m3/jam
Tinggi basah H (cm) Area basah A (m2) Keliling bsh S (m') Data :
4.1 0.02463075 0.83769 - Panjang atap 30m
3.5 0.02087685 0.79983 - Sudut kemiringan atap 3 derajat
3 0.017802 0.7683 - Air hujan maks. = 500 mm/jam
2.5 0.014775 0.73675 1.4 0.00815684 0.6562194 Rumus : 1 0.00577736 0.6303 Rumus Kutter A S R (A/S) V = C (R.i) 0.02463075 0.83769 0.02940318 C = 23 + 1/n + 0.0015/i 0.02087685 0.79983 0.026101609 1 + ( 23 + 0.0015/I ) n/( R) 0.017802 0.7683 0.023170636 0.014775 0.73675 0.020054293 0.00815684 0.6562194 0.01243005 0.00577736 0.6303 0.009166048
sudut i (derajat) kemiringan tgn i
3 0.052407779
Tinggi basah H (cm) n Kutter i R C-atas C-bwh C V (m/dt) Q (m3/jam)
4.1 0.02 0.052407779 0.0294032 73.0286217 3.685968 19.8126 0.77774389 68.96309516 3.5 0.02 0.052407779 0.0261016 73.0286217 3.850784 18.96461 0.701415686 52.7160602 3 0.02 0.052407779 0.0231706 73.0286217 4.025722 18.1405 0.632144307 40.51235865 2.5 0.02 0.052407779 0.0200543 73.0286217 4.252327 17.1738 0.556759905 29.61405936 1.4 0.02 0.052407779 0.0124301 73.0286217 5.13106 14.23266 0.363262301 10.66706087 1 0.02 0.052407779 0.009166 73.0286217 5.810685 12.56799 0.275457591 5.729103609 KESIMPULAN :
4.1 3.5 3 2.5 1.4 1 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 0 20 40 60 80 tin gg i basah
kapasitas debit air
KAPASITAS DEBIT AIR
ATAP U500 -
tinggi gel. 16 cm
Tinggi air hujan H (cm) Area basah A (m2) Keliling bsh S (m')
3.5 0.0078 0.285
3.4 0.0076 0.282
A S R (A/S)
0.0078 0.285 0.027368421
0.0076 0.282 0.026950355
sudut (derajat) kemiringan tgn i
0.05
Tinggi air hujan H (cm) n Kutter i R
3.5 0.02 0.05 0.027368
C-atas C-bwh C V (m/dt) Q hujan = IA V hujan = Q/A
73.03 3.784191 19.29871 0.713901 0.0034375 0.440705128
PERHITUNGAN STRUKTUR BAJA KMR SONI
BERHUBUNG SEMUA ANALISA DAN DESIGN RANGKA SUDAH DIHITUNG DENGAN SAP2000,
JADI KITA HANYA TINGGAL MENGHITUNG BAUT DAN PONDASI SAJA.
I. DATA-DATA PERENCANAAN
I.1. DATA UMUM BANGUNAN NAMA =
LUAS LANTAI = 24 m X 41 m
JARAK PORTAL = m
TINGGI KOLOM = m
SUDUT ATAP = degree =
III.2.4. Design of Bolt Connection :
Beam to beam connect. :
a. Loading :
Geser vertical (Pv)
=
5184.00
kg
Moment (Mu)
=
8530.00
kgm
fy
=
240.00 Mpa =
2400.00
Force due to Mu/l
=
426.50 kg
Resultante geser
=
5201.51 kg
b. shear check :
Resultan of shear
=
5201.51 kg
Allow. Shear = 0,6 (fy/1.5) =
950.40 kg/cm2
Allow. Shear Load 1
f1,2
=
1074.33 kg
PERHITUNGAN STRUKTUR BAJA GUDANG
I. DATA-DATA PERENCANAAN
I.1. DATA UMUM BANGUNAN NAMA =
LUAS LANTAI = 24 m X 41 m
JARAK PORTAL = 6.00 m
TINGGI KOLOM = 10.00 m
SUDUT ATAP = 25.00 degree = 0.44 radian
II. DESIGN STRUKTUR SKUNDER :
2.1. DESIGN GORDING COBA = C 125x50x20x4,5 Wx = 38.00 cm3 Wy = 10.10 cm3 JARAK GORDING (Jg) = 125.00 cm a. BEBAN TETAP TEKANAN HUJAN = 20.00 kg/m2 t ATAP = 0.40 mm = 3.14 m2 BERAT ATAP = 3.93 kg/m' BERAT GORDING = 8.32 kg/m' BERAT HUJAN = 25.00 kg/m' +
TOTAL BEBAN TETAP = 37.25 kg/m'
MtetapX =1/8 Q.cos25 L^2 = 151.90 kg.m
MtetapY =1/8 Q.sin25 Ly^2 = 17.71 kg.m
b. BEBAN HIDUP = 100.00 kg
MhidupX =1/4 P.cos25 Lx = 135.95 kg.m
MhidupY =1/4 P.sin25 Ly = 31.70 kg.m
c. BEBAN ANGIN , SUDUT ATAP = 25 derajat
TEKANAN ANGIN = 25.00 kg/m2
KOF. TEKAN ANGIN ATAP = 0,02(SUDUT ATAP) - 0,4 = 0.10
KOF. TEKAN HISAP ATAP = - 0,4 = -0.40
KOF. TEKAN ANGIN DINDING = + 0,9 = 0.90
KOF. TEKAN HISAP DINDING = - 0,4 = -0.40
UNTUK GORDING, AMBIL TEKAN ATAP :
Q angin = [0,02(SUDUT ATAP) - 0,4 ] *P*Jg = 3.13 kg/m
M angin= 1/8 * Q*L^2 = 14.06 kg.m
d. TOTAL TEGANGAN :
Mx = MtetapX + MhidupX + Mangin = 301.91
My = MtetapY + MhidupY = 49.40
TEGANGAN = Mx/Wx + My/Wy = 1283.65 < 1600 ? OK !
III. DESIGN STRUKTUR UTAMA :
III.1. PEMBEBANAN KUDA-KUDA a. PEMBEBANAN GRAVITASI
BERAT ATAP = 18.84 kg/m
BERAT GORDING = 41.60 kg/m +
60.44 kg/m
b. BEBAN HIDUP TERPUSAT = 100.00 kg
c. BEBAN ANGIN , SUDUT ATAP = 25 derajat
TEKANAN ANGIN = 25.00 kg/m2
KOF. TEKAN ANGIN ATAP = 0,02(SUDUT ATAP) - 0,4 = 0.10
KOF. TEKAN HISAP ATAP = - 0,4 = -0.40
KOF. TEKAN ANGIN DINDING = + 0,9 = 0.90
KOF. TEKAN HISAP DINDING = - 0,4 = -0.40
BEBAN AKIBAT ANGIN :
Q tekan atap = [0,02(SUDUT ATAP) - 0,4 ] *P*Jk = 15.00 kg/m
Q hisap atap = - 0,4 *P*Jk = -60.00 kg/m Q tekan dinding = 0,9 *P*Jk = 135.00 kg/m Q hisap dinding = - 0,4 *P*Jk = -60.00 kg/m BEBAN DI RAK : Q = BETON + HIDUP = 2400 kg/m3 * 12cm*Jk + 400kg/m2 = 4128.00 kg/m sehingga :
Q di batang kuda2 = GRAV. + ANGIN = 75.44 kg/m + P 100 kg.
Q di kolom kiri = ANGIN tekan = 135.00 kg/m
Q di kolom kanan = ANGIN hisap = -60.00 kg/m
Q di balok rak = 4128.00 kg/m
c. ANALISA STRUKTUR
Dengan bantuan program komputer SAP90 didapat :
Elemen kuda2 = Moment = 2539.00 kg.m
Axial = 1634.00 kg
Elemen balok = Moment = 6985.00 kg.m
Axial = 458.00 kg Pondasi utama = Fx = 2136.00 kg Fy = 11690.00 kg Mz = 3016.00 kg.m Pondasi rak = Fx = 1574.00 kg Fy = 8094.00 kg Mz = 1257.00 kg.m d. DESIGN ELEMEN Elemen kuda2 = WF 300x150x9x6.5 Elemen kolom = WF 300x150x9x6.5
Elemen balok rak = WF 300x150x9x6.5
Elemen kokok & cantilever = WF 150x75
1. Standart and Reference :
- Peraturan Pembebanan Indonesia utk. Gedung 1983
- AISC
2. Material
- Steel fy
=
2400.00 kg/cm2
- Concrete fc'
=
240.00 kg/cm2
3. Design metode
- Elastic design :
for steel structure
- Ultimate design :
for concrete structure
4. Structure analysis
- Manual
:
for structure
- SAP 90
:
for structure
- COSMIC
:
for roof
III.2.1. Design balok rak :
Try :
Beam
=
WF 300x150x6.5x9
fy
=
240.00 Mpa
Weight
=
36.70 kg/m
Ix
=
7210.00 cm4
flens width (bf)
=
150.00 mm
flens thickness (tf)
=
9.00 mm
web deepth (d)
=
300.00 mm
web thickness (tw)
=
6.50 mm
radius of giration ('r)
=
12.40 cm
Sect. Area (A)
=
46.78 cm2
Span (L)
=
600.00
cm
a. Loading :
Roof panel 0.3x0.001x30 m3
Roof weight / panel
=
141.30
kg
number of panels
=
20.00
panels
Roof length
=
30.00
m
Total roof weight
=
2826.00
kg
Total Beam weight
=
220.20
kg
Live load
=
25.00
kg/m2
Total Weight
=
647.20
kg/m
Max. moment
=
1/8.Q.L^2
=
6985.00 kg.cm
b. Lateral support check :
76.08 (in.)
>
193.25 cm
Use Fb = [ 2/3 - ( fy(L/r)^2 )/(1530e3.Cb) ] fy
Fb
=
0.61 fy
=
145.62 Mpa
c. Compact check :
- Flens
bf / 2.tf
<
65 / fy^0,5
8.33 <
11.02
OK
- Web
d / tw
<
640 / fy^0,5
46.15 <
108.49
OK
d. Stress check
fb = Mu c / I
=
14.53 kg/cm2
fb / Fb
=
0.01
OK
III.2.2. Design of Column :
Try :
Column
=
WF 300x150x6.5x9
fy
=
240.00 Mpa
Weight
=
36.70 kg/m
I
=
7210.00 cm4
flens width (bf)
=
150.00 mm
flens thickness (tf)
=
9.00 mm
web deepth (d)
=
300.00 mm
web thickness (tw)
=
6.50 mm
radius of giration ('r)
=
12.40 cm
Sect. Area (A)
=
46.78 cm2
Length (L)
=
900.00
cm
a. Loading :
Axial (Pu)
=
2009.00
kg
Moment (Mu)
=
3864.00
kg.m
=
b. Beam - column check :
b.1. Lateral support check :
L
<
76. Bf / fy^0.5
(in.)
76.08 (in.)
>
193.25 cm
Use Fb = [ 2/3 - ( fy(L/r)^2 )/(1530e3.Cb) ] fy
Fb =
0.54 fy
=
129.64 Mpa
- Flens
bf / 2.tf
<
65 / fy^0,5
8.33 <
11.02
OK
- Web
d / tw
<
640 / fy^0,5
46.15 <
108.49
OK
c. Stress check
fb = Mu c / I
=
803.88 kg/cm2
fb / Fb
=
0.62
OK
fa = Pu / A
=
42.95 kg/cm2
k factor
=
0.80
k l /r
=
58.06
From tab. AISC , Fa
=
17.62 (ksi)
1214.90 kg/cm2
fa / Fa
=
0.04
<
0.15
OK
Total stress ratio :
fa/Fa + fb/Fb
=
0.04
+
0.62
=
0.66
OK
III.2.3. Design kuda-kuda :
Try :
Column
=
WF 300x150x6.5x9
fy
=
240.00 Mpa
Weight
=
36.70 kg/m
I
=
7210.00 cm4
flens width (bf)
=
150.00 mm
flens thickness (tf)
=
9.00 mm
web deepth (d)
=
300.00 mm
web thickness (tw)
=
6.50 mm
radius of giration ('r)
=
12.40 cm
Sect. Area (A)
=
46.78 cm2
Length (L)
=
900.00
cm
a. Loading :
Axial (Pu)
=
1634.00
kg
Moment (Mu)
=
2539.00
kg.m
=
b. Beam - column check :
b.1. Lateral support check :
L
<
76. Bf / fy^0.5
(in.)
>
193.25 cm
Use Fb = [ 2/3 - ( fy(L/r)^2 )/(1530e3.Cb) ] fy
Fb
=
0.54 fy
=
129.64 Mpa
b.2. Compact check :
- Flens
bf / 2.tf
<
65 / fy^0,5
8.33 <
11.02
OK
- Web
d / tw
<
640 / fy^0,5
46.15 <
108.49
OK
c. Stress check
fb = Mu c / I
=
528.22 kg/cm2
fb / Fb
=
0.41
OK
fa = Pu / A
=
34.93 kg/cm2
k factor
=
0.80
k l /r
=
58.06
From tab. AISC , Fa
=
17.62 (ksi)
1214.90 kg/cm2
fa / Fa
=
0.03
<
0.15
OK
Total stress ratio :
fa/Fa + fb/Fb
=
0.03
+
0.41
=
0.44
OK
III.2.4. Design of Bolt Connection :
Beam to beam connect. :
a. Loading :
Geser vertical (Pv)
=
1634.00
kg
Moment (Mu)
=
2539.00
kgm
Force due to Mu/l
=
126.95 kg
Resultante geser
=
1638.92 kg
b. shear check :
Resultan of shear
=
1638.92 kg
Allow. Shear = 0,6 (fy/1.5) =
950.40 kg/cm2
Allow. Shear Load 1
f1,2
=
1074.33 kg
( I M B )
PERHITUNGAN STRUKTUR
RUMAH
PONDOK WISATA
A. PERHITUNGAN STRUKTUR BAJA
I. DATA-DATA PERENCANAAN
I.1. DATA UMUM BANGUNAN
NAMA = Rumah & Pondok Wisata ,Jl. Bratang Binangun VI/49, Sby. LUAS LANTAI =
JARAK PORTAL = 3.00 m JUMLAH LANTAI = 3 TINGGI KOLOM TOTAL = 10.05 m
SUDUT ATAP = 30.00 degree = 0.52 radian
II. DESIGN STRUKTUR UTAMA :
II.1. Referensi Analisa & Design Struktur
1. Standart and Reference :
- Peraturan Pembebanan Indonesia utk. Gedung 1983 - AISC
- Peraturan Baja Indonesia
- Pedoman Perencanaan Ketahanan Gempa untuk Rumah dan Gedung 2. Material
- Steel fy = 2400.00 kg/cm2
- Concrete fc' = 240.00 kg/cm2
3. Design metode
- Elastic design : for steel structure - Ultimate design : for concrete structure 4. Structure analysis
- SAP 2000 : for structure
II.2. PEMBEBANAN
II. 2. 1. GEMPA
Fi (geser tingkat) = Wi hi V S Wi hi dimana :
V (geser dasar akibat gempa) = Cd. Wt = ( C . I . K ) Wt
T (waktu getar alami) = 0.085 H ^ 3/4 (Baja)
H = 10.05 m T = 0.48 detik Surabaya : zona 4
kondisi tanah di lokasi : lunak
C = 0.05 (lihat grafik) I (keutamaan struktur) = 1.00
K (jenis struktur) = 1.00
Lti. Atap : n panjang (m) lebar (m) berat (kg/m) total (kg) kolom WF 300 15.00 3.35 - 36.70 1,844.18 balok WF 250 - 100.00 - 29.60 2,960.00 atap 11.70 11.00 65.00 8,365.50 kuda2 WF 250 50.00 29.60 1,480.00
14,649.68
Lti. III : n panjang (m) lebar (m) berat (kg/m) total (kg) kolom WF 300 15.00 3.35 - 36.70 1,844.18 balok WF 300 - 100.00 - 36.70 3,670.00 pelat t=0.12 m - 11.70 8.00 2400.00 26,956.80 dinding 200.00 3.20 250.00 160,000.00
192,470.98
Lti. II : n panjang (m) lebar (m) berat (kg/m) total (kg) kolom WF 400 15.00 3.35 - 66.00 3,316.50
balok WF 300 - 100.00 - 36.70 3,670.00 pelat t=0.12 m - 11.70 8.00 2400.00 26,956.80 dinding 140.00 3.20 250.00 112,000.00
145,943.30
TOTAL = 353,063.95 so : V (gaya geser dasar) = 17,653.20 kg
Gaya geser tingkat (Fi) : Fi = Wi hi V S Wi hi Wi (kg) hi (m) Wi hi Fi (kg) atap 14,649.68 10.05 147,229.23 1,349.68 lti. III 192,470.98 6.70 1,289,555.53 11,821.59 lti. II 145,943.30 3.35 488,910.06 4,481.93 S Wi hi = 1,925,694.82 17,653.20
II. 2. 2. BEBAN GRAVITASI LANTAI BEBAN MATI
Q ekv. Trap = 1/2. Qu. Ly. (1 - 1/3. (Ly/Lx)^2 )
Qu mati lti : plat beton t=12cm = 288.00 kg/m2 plafon = 18.00 kg/m2 tegel = 24.00 kg/m2 adukan semen 2cm = 42.00 kg/m2 372.00 kg/m2 Qu dinding bata = 250.00 kg/m2 h = 3.1 m, Q dinding = 775.00 kg/m 9.55 3.18 Qu hidup lti : = 250.00 kg/m2
Ly Lx Qmati Qhidup Q ekv. Mati (kg/m)Q ekv. Hidup (kg/m)
3.40 1.10 372.00 250.00 -1,379.51 -927.09
3.75 3.40 372.00 250.00 414.95 278.87
4.20 3.00 372.00 250.00 271.33 182.34
3.20 2.45 372.00 250.00 257.08 172.77
(tangga ) 2.00 1.50 372.00 250.00 151.78 102.00 Q mati total balok tengah = 1,604.9 kg/m
Q mati total balok pinggir = 1,190.0 kg/m Q mati total balok tangga = 151.8 kg/m Q hidup total balok tengah = 557.7 kg/m Q hidup total balok pinggir = 278.9 kg/m II.2.3. BEBAN GRAVITASI PADA ATAP
Beban - beban mati pada atap :
1. Genteng, reng, usuk = 50.00 kg/m2 jarak kuda2 = 6.3 m, maka Q = 315.00 kg/m' 2. Gording 7 bh. X 11 kg/m = 77.00 kg/m' + Q mati total = 392.00kg/m'
Beban hidup pada atap :
Beban hidup (hujan) = 25.00 kg/m2 jarak kuda2 = 3 m, maka Q = 157.50kg/m'
II.3. ANALISA DAN DESAIN STRUKTUR UTAMA
Struktur Baja ini dianalisa dengan bantuan program SAP 2000.
Dengan memasukan input data geometry struktur, beban-beban yang terjadi, termasuk kombinasi beban, akan didapat hasil analisa struktur berupa : gaya-gaya dalam, defleksi dan reaksi pada pondasi.
Sekaligus bisa diketahui desain penampang elemen-elemen struktur utama : Balok dan kolom.
III. DESIGN STRUKTUR SKUNDER :
III..1. DESIGN GORDING
COBA = C 150x75x20x4,5 Wx = 65.20 cm3 Wy = 19.80 cm3
JARAK GORDING (Jg) = 125.00 cm a. BEBAN TETAP TEKANAN HUJAN = 20.00 kg/m2 t ATAP = 0.40 mm = 3.14 m2 BERAT ATAP = 3.93 kg/m' BERAT GORDING = 8.32 kg/m' BERAT HUJAN = 25.00 kg/m' + TOTAL BEBAN TETAP = 37.25 kg/m' MtetapX =1/8 Q.cos25 L^2 = 36.29 kg.m MtetapY =1/8 Q.sin25 Ly^2 = 5.24 kg.m b. BEBAN HIDUP = 100.00 kg
MhidupX =1/4 P.cos25 Lx = 64.95 kg.m MhidupY =1/4 P.sin25 Ly = 18.75 kg.m c. BEBAN ANGIN
TEKANAN ANGIN = 25.00 kg/m2 KOF. TEKAN ANGIN ATAP = 0,02(SUDUT ATAP) - 0,4 = 0.20 KOF. TEKAN HISAP ATAP = - 0,4 = -0.40 KOF. TEKAN ANGIN DINDING = + 0,9 = 0.90 KOF. TEKAN HISAP DINDING = - 0,4 = -0.40 UNTUK GORDING, AMBIL TEKAN ATAP :
Q angin = [0,02(SUDUT ATAP) - 0,4 ] *P*Jg = 6.25 kg/m M angin= 1/8 * Q*L^2 = 7.03 kg.m
d. TOTAL TEGANGAN :
Mx = MtetapX + MhidupX + Mangin = 108.27 My = MtetapY + MhidupY = 23.99
TEGANGAN = Mx/Wx + My/Wy = 287.21 < 1600 ? OK !
GORDING BISA DIPAKAI !
III. 2. PERHITUNGAN BAUT SAMBUNGAN BALOK-KOLOM SAMBUNGAN - I (WF400X200) alternatif 1 V = 10960.00 kg M= 11850.00 kg.m no spasi hi hi^2 (cm) (cm) (cm2) 1.00 8.00 6.00 36.00 2.00 8.00 14.00 196.00 3.00 8.00 22.00 484.00 4.00 12.00 34.00 1156.00 5.00 9.00 43.00 1849.00 6.00 9.00 52.00 2704.00 7.00 9.00 61.00 3721.00 sigma = 10146.00 gaya tarik max. akibat M (1 baut atas) = 3562.24 kg
coba baut = 2.00 cm so, luas 1 baut = 3.14 cm2
Tegangan akibat M = 1134.47 kg/cm2 Jumlah baut total = 16.00 buah gaya akibat V ( I baut ) = 685.00 kg
Tegangan akibat V = 218.15 kg/cm2 TEGANGAN KOMB. = 1195.74 kg/cm2 < OK ! 1600.00kg/cm2 SAMBUNGAN - I (WF 400X200) alternatif 2 V = 10960.00 kg M= 11850.00 kg.m no spasi hi hi^2 (cm) (cm) (cm2) 1.00 10.00 6.00 36.00 2.00 10.00 16.00 256.00 3.00 15.00 31.00 961.00 4.00 10.00 41.00 1681.00 5.00 10.00 51.00 2601.00 sigma = 5535.00 h1 h2 h3 h4 h5 h6 h7
gaya tarik max. akibat M (1 baut atas) = 5459.35 kg coba baut = 2.40 cm so, luas 1 baut = 4.52 cm2
Tegangan akibat M = 1207.39 kg/cm2 Jumlah baut total = 12.00 buah gaya akibat V ( I baut ) = 913.33 kg
Tegangan akibat V = 201.99 kg/cm2 TEGANGAN KOMB. = 1257.06 kg/cm2 < OK ! 1600.00kg/cm2 SAMBUNGAN - II (WF TANGGA) V = 1500.00 kg M= 800.00 kg.m no spasi hi hi^2 (cm) (cm) (cm2) 1.00 5.00 5.00 25.00 2.00 10.00 15.00 225.00 3.00 5.00 20.00 400.00 4.00 5.00 25.00 625.00 sigma = 1275.00 gaya tarik max. akibat M (1 baut atas) = 784.31 kg
coba baut = 1.20 cm so, luas 1 baut = 1.13 cm2
Tegangan akibat M = 693.84 kg/cm2 Jumlah baut total = 10.00 buah gaya akibat V ( I baut ) = 150.00 kg
Tegangan akibat V = 132.70 kg/cm2 TEGANGAN KOMB. = 730.91 kg/cm2 < OK ! 1600.00kg/cm2 SAMBUNGAN - III (WF 300X150) V = 7500.00 kg M= 7300.00 kg.m no spasi hi hi^2 (cm) (cm) (cm2) 1.00 7.00 6.00 36.00 2.00 7.00 13.00 169.00 3.00 15.00 28.00 784.00 4.00 7.00 35.00 1225.00 5.00 7.00 42.00 1764.00 sigma = 3978.00 gaya tarik max. akibat M (1 baut atas) = 3853.70 kg
coba baut = 2.00 cm so, luas 1 baut = 3.14 cm2
Tegangan akibat M = 1227.29 kg/cm2 Jumlah baut total = 12.00 buah gaya akibat V ( I baut ) = 625.00 kg
Tegangan akibat V = 199.04 kg/cm2
B . PONDASI
1. Design of Main Foundation I P-1 :
Data :
Allowable soil strength = 1.00kg/cm2
fc' = 250.00 kg/cm2
fy = 4000.00 kg/cm2
Concrete mass/vol. = 2.40 ton/m3
Axial load (P) = 17500.00 kg
Moment (M) = 1531.00 kg.m
Try width of found. (B) = 170.00 cm
Try width of column (b) = 50.00 cm
Try deepth of WF (l) = 40.00 cm
a. Foundation Plan
Thicknes of found. = 50.00 cm
Weight of foundation = 0.12 kg/cm2
Allowable soil strength net. = 0.88 kg/cm2
Extrem soil stress = P/A + M / (1/6 B^3)
= 0.61 + 0.19
= 0.79 kg/cm2
Extrem soil stress < Allw. Soil strength nett. ?
= 0.79 < 0.88 ?
...YES
b. 2 way shear Chek
Vu = 17500.00 kg b = 1.00 d = 44.00 cm bo = 4 x (d + b ) = 376.00 cm fVc = 0,6 [ 1/6 (1+2/b fc'. bo . D ] = 2481600.00 N. = 248160.00 kg. fVc > Vu ..? = 248160.00 > 17500.00 ..? YES
c. 1 way shear Chek
fVc = 0,6 [1/6 fc'. B . D ]
= 374000.00 N.
37400.00 kg.
fVc > Vu ..? = 37400.00 > 17500.00 ..?
YES
d. Reinforcement for bending moment
Mu = 1531.00 kg.m r min. = 1.4/fy = 0.0035 Rn = Mu / B.d^2 = 0.05 m = fy / 0.85 fc' = 18.82 1/m = 0.05 (1-2.m.Rn/fy)^0,5 = 1.00 r = 1/m [ 1-(1-2.m.Rn)/fy ]^0.5 = 0.0001 < 0.0035 (r min.) Use = 0.0035 As = r.B.d. = 2618.00 mm2 try f = 16.00 mm number = 20.00 As = 4019.20 > 2618.00 OK
Use : B = 170.00 cm b = 50.00 cm t = 50.00 cm f = 16.00 mm n = 20.00 pcs g. Sloof :
Beban axial sloof = = 1750.00 kg = 10% ax.kolom ? Ok !
Coba penampang sloof = b 20.00 cm
= h 30.00 cm
Cek tekan beton = 2.92 kg/cm2 < 75 kg/cm2 ? Ok !
As min. 1% beton = 6.00 cm2
ambil n besi = 6.00 buah
f besi sloof = 1.13 cm > min 1,2 cm ? No !
f besi begel sloof minimum = 8 mm
h. Strous :
Coba n = 4.00 buah
f strous = 50.00 cm
Pmax. = Axial / n + M.X1 / 2.(X1^2+X2^2) = 4375.00 + 900.59
= 5275.59 kg
Kekuatan geser cleaf(lekatan tanah) di kedalaman 6 m diambil 100 kg/cm Maka kekuatan ijin strous = Keliling x geser cleaf
= 15700.00 kg > P max ? Ok !
2. Design of Main Foundation II P-2 :
Data :
Allowable soil strength = 1.00kg/cm2
fc' = 300.00 kg/cm2
fy = 2400.00 kg/cm2
Concrete mass/vol. = 2.40 ton/m3
Axial load (P) = 26899.00 kg
Moment (M) = 1961.00 kg.m
Try width of found. (B) = 200.00 cm
Try width of column (b) = 50.00 cm
Try deepth of WF (l) = 40.00 cm
a. Foundation Plan
Thicknes of found. = 35.00 cm
Weight of foundation = 0.08 kg/cm2
Allowable soil strength net. = 0.92 kg/cm2
Extrem soil stress = P/A + M / (1/6 B^3)
= 0.67 + 0.15
= 0.82 kg/cm2
Extrem soil stress < Allw. Soil strength nett. ?
= 0.82 < 0.92 ?
...YES
b. 2 way shear Chek
Vu = 26899.00 kg b = 1.00 d = 29.00 cm bo = 4 x (d + b ) = 316.00 cm fVc = 0,6 [ 1/6 (1+2/b fc'. bo . D ] = 1505798.86 N. = 150579.89 kg. fVc > Vu ..? = 150579.89 > 26899.00 ..? YES
c. 1 way shear Chek
= 317679.08 N.
31767.91 kg.
fVc > Vu ..? = 31767.91 > 26899.00 ..?
YES
d. Reinforcement for bending moment
Mu = 1961.00 kg.m r min. = 1.4/fy = 0.01 Rn = Mu / B.d^2 = 0.12 m = fy / 0.85 fc' = 9.41 1/m = 0.11 (1-2.m.Rn/fy)^0,5 = 1.00 r = 1/m [ 1-(1-2.m.Rn)/fy ]^0.5 = 0.0005 < 0.0058 (r min.) Use = 0.0058 As = r.B.d. = 3383.33 mm2 try f = 18.00 mm number = 16.00 As = 4069.44 > 3383.33 OK Use : B = 200.00 cm b = 50.00 cm t = 35.00 cm f = 18.00 mm n = 16.00 pcs
e. Design of Base Plat :
Width of base plat (w) = 50.00 cm
Critical cantilv.length (m) = 5.00 cm
Conc. Bearing stress (fp) = 105.00 kg/cm2
Thickness of base plat (t) = 2.m (fp / fy)^0.5
= 2.09 cm
f. Anker Bolt (6 bolt) :
Geser ijin beton K300 = 6.50 kg/cm2
Jarak baut terjauh dari as = 20.00 cm
jumlah baut angker (n) = 6.00
Gaya akibat Momen (P1) = 4902.50 kg
1 baut memikul (P1 / 2) (tarik) = 2451.25 kg
Gaya akibat Normal (tekan) = 4483.17 kg
A 1 baut = 4.33 cm2
f = 2.35 cm
L = 144.60 cm
g. Sloof :
Beban axial sloof = = 3000.00 kg > 10% ax.kolom ? Ok !
Coba penampang sloof = b 20.00 cm
= h 30.00 cm
Cek tekan beton = 5.00 kg/cm2 < 75 kg/cm2 ? Ok !
As min. 1% beton = 6.00 cm2
ambil n besi = 6.00 buah
f besi sloof = 1.13 cm > min 1,2 cm ? No !
f besi begel sloof minimum = 8 mm
h. Strous :
Coba n = 2.00 buah
f strous = 50.00 cm
Pmax. = Axial / n + M.X1 / 2.(X1^2+X2^2) = 13449.50 + 980.50
= 14430.00 kg
Kekuatan geser cleaf(lekatan tanah) di kedalaman 6 m diambil 100 kg/cm Maka kekuatan ijin strous = Keliling x geser cleaf
3. Design of Main Foundation III (tangga) P-3 :
Data :
Allowable soil strength = 1.00kg/cm2
fc' = 300.00 kg/cm2
fy = 2400.00 kg/cm2
Concrete mass/vol. = 2.40 ton/m3
Axial load (P) = 4832.00 kg
Moment (M) = 571.00 kg.m
Try width of found. (B) = 120.00 cm
Try width of column (b) = 30.00 cm
Try deepth of WF (l) = 20.00 cm
a. Foundation Plan
Thicknes of found. = 25.00 cm
Weight of foundation = 0.06 kg/cm2
Allowable soil strength net. = 0.94 kg/cm2
Extrem soil stress = P/A + M / (1/6 B^3)
= 0.34 + 0.20
= 0.53 kg/cm2
Extrem soil stress < Allw. Soil strength nett. ?
= 0.53 < 0.94 ?
...YES
b. 2 way shear Chek
Vu = 4832.00 kg b = 1.00 d = 19.00 cm bo = 4 x (d + b ) = 196.00 cm fVc = 0,6 [ 1/6 (1+2/b fc'. bo . D ] = 611915.64 N. = 61191.56 kg. fVc > Vu ..? = 61191.56 > 4832.00 ..? YES
c. 1 way shear Chek
fVc = 0,6 [1/6 fc'. B . D ]
= 124880.74 N.
12488.07 kg.
fVc > Vu ..? = 12488.07 > 4832.00 ..?
YES
d. Reinforcement for bending moment
Mu = 571.00 kg.m r min. = 1.4/fy = 0.01 Rn = Mu / B.d^2 = 0.13 m = fy / 0.85 fc' = 9.41 1/m = 0.11 (1-2.m.Rn/fy)^0,5 = 0.99 r = 1/m [ 1-(1-2.m.Rn)/fy ]^0.5 = 0.0006 < 0.0058 (r min.) Use = 0.0058 As = r.B.d. = 1330.00 mm2 try f = 16.00 mm number = 8.00 As = 1607.68 > 1330.00 OK
Use : B = 120.00 cm
b = 30.00 cm
t = 25.00 cm
f = 16.00 mm
n = 8.00 pcs
e. Design of Base Plat :
Width of base plat (w) = 30.00 cm
Critical cantilv.length (m) = 5.00 cm
Conc. Bearing stress (fp) = 105.00 kg/cm2
Thickness of base plat (t) = 2.m (fp / fy)^0.5
= 2.09 cm
f. Anker Bolt (6 bolt) :
Geser ijin beton K300 = 6.50 kg/cm2
Jarak baut terjauh dari as = 17.00 cm
jumlah baut angker (n) = 6.00
Gaya akibat Momen (P1) = 1679.41 kg
1 baut memikul (P1 / 2) (tarik) = 839.71 kg
Gaya akibat Normal (tekan) = 805.33 kg
A 1 baut = 1.03 cm2
f = 1.14 cm
L = 70.43 cm
g. Sloof :
Beban axial sloof = = 3000.00 kg > 10% ax.kolom ? Ok !
Coba penampang sloof = b 15.00 cm
= h 20.00 cm
Cek tekan beton = 10.00 kg/cm2 < 75 kg/cm2 ? Ok !
As min. 1% beton = 3.00 cm2
ambil n besi = 6.00 buah
f besi sloof = 0.80 cm > min 1,2 cm ? No !
f besi begel sloof minimum = 8 mm
4. Design of Main Foundation Gabungan P-4 :
Data :
Allowable soil strength = 1.00kg/cm2
fc' = 300.00 kg/cm2
fy = 2400.00 kg/cm2
Concrete mass/vol. = 2.40 ton/m3
Axial load (P)kiri = 5476.00 kg
Moment (M)kiri = 1287.00 kg.m
Axial load (P)kanan = 12348.00 kg
Moment (M)kanan = 1355.00 kg.m
P total = 17824.00 kg
Try width of found. (B) = 150.00 cm Try width of found. (L) = 300.00 cm
Try width of column (b) = 40.00 cm
Try deepth of WF (l) = 30.00 cm
a. Foundation Plan
Thicknes of found. = 35.00 cm
Weight of foundation = 0.08 kg/cm2
Allowable soil strength net. = 0.92 kg/cm2
Extrem soil stress = P total /A
= 0.40
Extrem soil stress < Allw. Soil strength nett. ?
= 0.40 < 0.92 ?
...YES
b. 2 way shear Chek
Vu = 5476.00 kg b = 1.00 d = 29.00 cm bo = 4 x (d + b ) = 276.00 cm fVc = 0,6 [ 1/6 (1+2/b fc'. bo . D ] = 1315191.41 N. = 131519.14 kg. fVc > Vu ..? = 131519.14 > 5476.00 ..? YES
c. 1 way shear Chek
fVc = 0,6 [1/6 fc'. B . d ]
= 238259.31 N.
23825.93 kg.
fVc > Vu ..? = 23825.93 > 5476.00 ..?
YES
d. Reinforcement for bending moment
Mu max. (dari SAP2000) = 4000.00 kg.m
r min. = 1.4/fy = 0.01 Rn = Mu / B.d^2 = 0.32 m = fy / 0.85 fc' = 9.41 1/m = 0.11 (1-2.m.Rn/fy)^0,5 = 0.99 r = 1/m [ 1-(1-2.m.Rn)/fy ]^0.5 = 0.0013 < 0.0058 (r min.) Use = 0.0058 As = r.B.d. = 2537.50 mm2 try f = 18.00 mm number = 10.00 As = 2543.40 > 2537.50 OK Use : B = 150.00 cm b = 40.00 cm t = 35.00 cm f = 18.00 mm n = 10.00 pcs
e. Design of Base Plat :
Width of base plat (w) = 40.00 cm
Critical cantilv.length (m) = 5.00 cm
Conc. Bearing stress (fp) = 105.00 kg/cm2
Thickness of base plat (t) = 2.m (fp / fy)^0.5
= 2.09 cm
f. Anker Bolt (6 bolt) :
Geser ijin beton K300 = 6.50 kg/cm2
Jarak baut terjauh dari as = 12.00 cm
jumlah baut angker (n) = 6.00
Gaya akibat Momen (P1) = 5362.50 kg
1 baut memikul (P1 / 2) (tarik) = 2681.25 kg
Gaya akibat Normal (tekan) = 912.67 kg
A 1 baut = 2.25 cm2
f = 1.69 cm
L = 104.10 cm
g. Sloof :
Coba penampang sloof = b 15.00 cm
= h 30.00 cm
Cek tekan beton = 3.33 kg/cm2 < 75 kg/cm2 ? Ok !
As min. 1% beton = 4.50 cm2
ambil n besi = 6.00 buah
f besi sloof = 0.98 cm > min 1,2 cm ? No !
f besi begel sloof minimum = 8 mm
h. Strous :
Coba n = 2.00 buah
f strous = 30.00 cm
Pmax. = Axial / n + M.X1 / 2.(X1^2+X2^2) = 8912.00 + 0.00
= 8912.00 kg
Kekuatan geser cleaf(lekatan tanah) di kedalaman 6 m diambil 100 kg/cm Maka kekuatan ijin strous = Keliling x geser cleaf
= 9420.00 kg > P max ? Ok !
14.17
5. Design of Main Foundation Gabungan P-5
Data :
Allowable soil strength = 1.00kg/cm2
fc' = 300.00 kg/cm2
fy = 2400.00 kg/cm2
Concrete mass/vol. = 2.40 ton/m3
Axial load (P)kiri = 43900.00 kg
Moment (M)kiri = 1235.00 kg.m
Axial load (P)kanan = 38250.00 kg
Moment (M)kanan = 1888.00 kg.m
P total = 82150.00 kg
Try width of found. (B) = 200.00 cm Try width of found. (L) = 490.00 cm
Try width of column (b) = 50.00 cm
Try deepth of WF (l) = 40.00 cm
a. Foundation Plan
Thicknes of found. = 50.00 cm
Weight of foundation = 0.12 kg/cm2
Allowable soil strength net. = 0.88 kg/cm2
Extrem soil stress = P total /A
= 0.84
= 0.84 kg/cm2
Extrem soil stress < Allw. Soil strength nett. ?
= 0.84 < 0.88 ?
...YES
b. 2 way shear Chek
Vu = 43900.00 kg b = 1.00 d = 44.00 cm bo = 4 x (d + b ) = 376.00 cm fVc = 0,6 [ 1/6 (1+2/b fc'. bo . D ] = 2718456.60 N. = 271845.66 kg. fVc > Vu ..? = 271845.66 > 43900.00 ..? YES
c. 1 way shear Chek
fVc = 0,6 [1/6 fc'. B . d ]
= 481995.85 N.
48199.59 kg.
fVc > Vu ..? = 48199.59 > 43900.00 ..?
d. Reinforcement for bending moment
Mu max. (dari SAP2000) = 24300.00 kg.m
r min. = 1.4/fy = 0.01 Rn = Mu / B.d^2 = 0.63 m = fy / 0.85 fc' = 9.41 1/m = 0.11 (1-2.m.Rn/fy)^0,5 = 0.98 r = 1/m [ 1-(1-2.m.Rn)/fy ]^0.5 = 0.0026 < 0.0058 (r min.) Use = 0.0058 As = r.B.d. = 5133.33 mm2 try f = 20.00 mm number = 18.00 As = 5652.00 > 5133.33 OK Use : B = 200.00 cm b = 50.00 cm t = 50.00 cm f = 20.00 mm n = 18.00 pcs
e. Design of Base Plat :
Width of base plat (w) = 50.00 cm
Critical cantilv.length (m) = 5.00 cm
Conc. Bearing stress (fp) = 105.00 kg/cm2
Thickness of base plat (t) = 2.m (fp / fy)^0.5
= 2.09 cm
f. Anker Bolt (6 bolt) :
Geser ijin beton K300 = 6.50 kg/cm2
Jarak baut terjauh dari as = 12.00 cm
jumlah baut angker (n) = 6.00
Gaya akibat Momen (P1) = 5145.83 kg
1 baut memikul (P1 / 2) (tarik) = 2572.92 kg
Gaya akibat Normal (tekan) = 7316.67 kg
A 1 baut = 6.18 cm2
f = 2.81 cm
L = 172.68 cm
g. Sloof :
Beban axial sloof = = 4500.00 kg > 10% ax.kolom ? Ok !
Coba penampang sloof = b 15.00 cm
= h 30.00 cm
Cek tekan beton = 10.00 kg/cm2 < 75 kg/cm2 ? Ok !
As min. 1% beton = 4.50 cm2
ambil n besi = 6.00 buah
f besi sloof = 0.98 cm > min 1,2 cm ? No !
f besi begel sloof minimum = 8 mm
h. Strous :
Coba n = 5.00 buah
f strous = 55.00 cm
Pmax. = Axial / n + M.X1 / 2.(X1^2+X2^2) = 16430.00 + 0.00
= 16430.00 kg
Kekuatan geser cleaf(lekatan tanah) di kedalaman 6 m diambil 100 kg/cm Maka kekuatan ijin strous = Keliling x geser cleaf
KESIMPULAN :
NAMA PONDASIP(kg) M(kg.m) B(cm) t(cm) f (mm) n (pcs) t base plat (cm)n angker (pcs f (cm)
P-1 17500.00 1531.00 170.00 50.00 16.00 20.00 #REF! #REF! #REF!
P-2 26899.00 1961.00 200.00 35.00 18.00 16.00 2.09 6.00 2.35
P-3 4832.00 571.00 120.00 25.00 16.00 8.00 2.09 6.00 1.14
P-4 150.00 35.00 18.00 10.00 2.09 6.00 1.69
PERHITUNGAN STRUKTUR BANGUNAN
HOTEL S O N N Y
C . LAMPIRAN
L (cm) n strous f beton(cm) #REF! 4.00 50.00 144.60 2.00 50.00 70.43 -104.10 2.00 30.00 172.68 5.00 55.00
PERHITUNGAN STRUKTUR BANGUNAN
HOTEL S O N N Y
I. Design of skunder Foundation :
Data :
Allowable soil strength
=
0.40kg/cm2
fc'
=
300.00 kg/cm2fy
=
2400.00 kg/cm2C
o
ncrete
mass/vol.=
2.40 ton/m3Axial load (P)
=
8093.00 kgMoment (M)
=
1257.00 kg.mTry width of found. (B)
=
200.00 cmTry width of column (b)
=
40.00 cmTry deepth of WF (l)
=
30.00 cma. Foundation Plan
Thicknes of found. = 25.00 cm
Weight of foundation = 0.06 kg/cm2
Allowable soil strength net. = 0.34 kg/cm2
Extrem soil stress = P/A + M / (1/6 B^3)
= 0.20 + 0.09
= 0.30 kg/cm2
Extrem soil stress < Allw. Soil strength nett. ?
= 0.30 < 0.34 ?
...YES
b. 2 way shear Chek
Vu = 8093.00 kg
b
= 1.00 d = 19.00 cm bo = 4 x (d + b ) = 236.00 cmf
Vc =0,6 [
1/6 (1+2/b
f
c'. bo . D ] = 736796.38 N. = 73679.64 kg.f
Vc > Vu ..? = 73679.64 > 8093.00 ..?YES
c. 1 way shear Chek
f
Vc = 0,6 [1/6
f
c'. B . D ]= 208134.57 N.
20813.46 kg.
f
Vc > Vu ..? = 20813.46 > 8093.00 ..?YES
d. Reinforcement for bending moment
Mu = 1257.00 kg.m
r
min. = 1.4/fy = 0.01m = fy / 0.85 fc' = 9.41 1/m = 0.11 (1-2.m.Rn/fy)^0,5 = 0.99
r =
1
/m [ 1-(1-2.m.Rn)/fy ]^0.5 = 0.0007 < 0.0058 (r
min.) Use = 0.0058 As =r.
B.d. = 2216.67 mm2 tryf
= 14.00 mm number = 16.00 As = 2461.76 > 2216.67OK
Use : B = 200.00 cm b = 40.00 cm t = 25.00 cmf
= 14.00 mm n = 16.00 pcsII. Design of Base Plat :
Width of base plat (w) = 40.00 cm
Critical cantilv.length (m) = 5.00 cm
Conc. Bearing stress (fp) = 105.00 kg/cm2
Thickness of base plat (t) = 2.m (fp / fy)^0.5
= 2.09 cm
III. Anker Bolt (6 bolt) :
Geser ijin beton K300
= 6.50 kg/cm2Jarak baut terjauh dari as = 15.00 cm
jumlah baut angker (n) = 6.00
Gaya akibat Momen (P1) = 4190.00 kg
1 baut memikul (P1 / 2) (tarik)= 2095.00 kg
Gaya akibat Normal (tekan) = 1348.83 kg
A 1 baut = 2.15 cm2
f
= 1.66 cmL = 101.90 cm
IV. Sloof :
Beban axial sloof =
= 2136.00 kg > 10% ax.kolom ?Ok !Coba penampang sloof = b 25.00 cm
= h 40.00 cm
Cek tekan beton = 2.14 kg/cm2 < 75 kg/cm2 ? Ok !
As min. 1% beton = 10.00 cm2
ambil n besi = 6.00 buah
f besi sloof = 1.46 cm > min 1,2 cm ? Ok !
f besi begel sloof minimum = 8 mm
Coba n =2.00 buah
f strous = 30.00 cm
Pmax. = Axial / n + M.X1 /1.(X1^2+X2^2) = 4046.50 + 1257.00
= 5303.50 kg
Kekuatan geser cleaf(lekatan tanah) di kedalaman 6 m diambil 100 kg/cm
Maka kekuatan ijin strous =Keliling x geser cleaf
PERHITUNGAN PLAT
PROYEK - RUMAH MANYAR
1. TYPE PLAT TANGGA UTAMA-a ( tebal 14 cm )
Tebal plat = 0.14 m
Panjang arah x (lx) = 1 m
Panjang datar = 4.3 m
Berat volume beton = 2400 kg/m3
Tebal selimut beton = 20 mm t bordes = 170
d = 0.14*1000 - 20 - 5 = 115 mm d bordes = 145
b = 1 m
L miring = 4.41474801 m
Beban-beban yang bekerja : 1. Beban mati
Plat = t * 2400 = 336 kg/m2
Finishing lantai (keramik) = 66 kg/m2
Anak tgga = 12 = 166.3515 kg/m2
Total = 568 kg/m2
2. Beban hidup
Beban hidup yang bekerja = 200 kg/m2
Wu = 1.2 * qd + 1.6 * ql = 1002.02181 kg/m2 (plat tangga)
Wu = 1.2 * qd + 1.6 * ql = 802.4 kg/m2 (plat bordes)
Dari SAP (dianalisa sebagai balok) didapat :
Mu lap.plat tangga = 3944 kgm = 38.65 kNm
Mu tump.plat bordes = 8656 kgm = 84.83 kNm
Mutu beton = 20 MPa
Mutu baja = 400 MPa
f = 0.8 Rn perlu = Mn perlu / ( b . d^2 )
ρ balance = 0.85 . fc'/fy x 600/(600+fy) = 0.0255
ρ max = 0.75 . ρ balance = 0.019125
r min u/ plat dg.Tul.fy240Mpa (altf SKSNI dan CUR) = 0.0025
m = fy/0.85 . fc' = 23.5294118
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
Arah Mu Mn Rn=Mn/bd2 r perlu cek r As perlu tul.pakai
kNm kNm N/mm2 > ρmin mm2 Ø (mm) utama di plat 38.65 48.314 4.567 0.01142 0.011416 1313 16 utama di bordes 84.83 106.036 5.043 0.01261 0.012608 1828 19 pembagi 263 10 pembagi 366 10 tangga pakai t = 140 mm bordes pakai t = 170 mm tulangan utama : Ø 16 - s = 150 mm tulangan bordes : Ø 19 - s = 150 mm tulangan pembagi : Ø 10 - s = 200 mm
PERHITUNGAN GESER PADA PLAT TANGGA
Vc = 1/6
√ (
fc' bw . d)Ø = 0.6
jika : Vu < 0.5 ØVc ----> tidak tul geser
jika : 0.5 ØVc < Vu < ØVc ----> pakai tul geser minimal Vs min = 1/3 (Mpa) . bw . d
Øvs = vu < Øvc vu = Vu / bd
Øvc = 1/6
√
fc' Øvs = (vu - Øvc)A sengk = (vu - Øvc) b y / (Øfy) A sengk min = b.y / (3 fy)
fc' = 20 Mpa
fy sengk = 240 Mpa
Vu b h d vu Øvc Øvc > vu ?
kg mm mm Mpa Mpa
PLAT TANGGA 3,369 1,000 140 105 0.320857 0.447214 ok, tdk perlu tul gsr
BORDES 5,963 1,000 170 135 0.441704 0.447214 ok, tdk perlu tul gsr
DESAIN BALOK TANGGA
I. LENTUR : Mu = 1/8 Q . L^2 Mn perlu = Mu/Ø = Mu / 0.8 qU bordes = 802.4 kg/m2 qU plat = 1002.0 / 2 = 501 kg/m2 Mu =
dimensi balok = b (lebar), h (tinggi) dan d ( h-0.5tul-cover) E (modulus elastisitas baja tul) = 200 000 Mpa
xb (garis netral kondisi seimbang) = ( ξcu / ( ξcu + ξy ) ) x d x max = 0.75 . xb
utk fc' < 27.5 Mpa β1 = 0.85 …(C.K.Wang hal 46)
Mn max = Cmax ( d - β1 . x/2) ---> jika Mn max > Mn perlu, tdk perlu tul tekan
Rn perlu = Mn perlu / ( b . d^2 )
ρ balance = 0.85 . fc'/fy x 600/(600+fy) ρ max = 0.75 . ρ balance
ρ min = 1.4 / fy
ρ perlu = 1/m [ 1-
√
1- (2.m.Rn perlu)/fy ]m = fy/0.85 . fc'
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
E baja = 200,000 Mpa
fc' = 20 Mpa perhitungan ini hanya berlaku utuk fc' < 27.5 Mpa, diatas itu nilai β1 hrs diganti
fy = 400 Mpa Mu Mu Mn perlu b h d xb. (kg.m) (N.mm) (N.mm) (mm) (mm) (mm) (mm) La nta i -1
B1a lt-1 tumpu 11,727.00 1.17E+08 1.47E+08 150 550 485 #VALUE!
lt-1 lap. 9,982.00 9.98E+07 1.25E+08 150 550 485 #VALUE!
B1b lt-1 tumpu 6,590.00 6.59E+07 8.24E+07 150 500 435 #VALUE!
lt-1 lap. 2,842.00 2.84E+07 3.55E+07 150 500 435 #VALUE!
B1c lt-1 tumpu 5,375.00 5.38E+07 6.72E+07 150 500 435 #VALUE!
lt-1 lap. 3,027.00 3.03E+07 3.78E+07 150 500 435 #VALUE!
A
tap B2a atap tumpu 1397 1.40E+07 1.75E+07 150 400 335 #VALUE!
atap lap 2860 2.86E+07 3.58E+07 150 400 335 #VALUE!
B2b atap tumpu 681 6.81E+06 8.51E+06 150 300 235 #VALUE!
atap lap 346 3.46E+06 4.33E+06 150 300 235 #VALUE!
blk.tangga 648 6.48E+06 8.10E+06 150 400 335 #VALUE!
G
aras
i
B-utamatepi tumpu 2,690.00 2.69E+07 3.36E+07 150 400 335 #VALUE!
lap 5,491.00 5.49E+07 6.86E+07 200 400 335 #VALUE!
B-utama-dlm tumpu 400.00 4.00E+06 5.00E+06 200 350 285 #VALUE!
lap 2,027.00 2.03E+07 2.53E+07 200 350 285 #VALUE!
B-anak tumpu 400.00 4.00E+06 5.00E+06 150 250 185 #VALUE!
lap 1,930.00 1.93E+07 2.41E+07 150 250 185 #VALUE!
macam tul. :
polos 6,8,10
mm
Wu bordes Wu plat
As ada As ada>Asperlu s (mm) 150 1340 ok 150 1889 ok 200 393 ok 20% tul.utama 200 393 ok 20% tul.utama
xmax Cmax Mn max beton Mn max betonRn perlu ρ balance ρ max ρ min m ρ perlu ρ perlu > ρ min
(mm) (N) (N.mm) > Mn perlu
#VALUE! #VALUE! #VALUE! #VALUE! 4.154533 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 3.53633 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 2.902189 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 1.251596 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 2.367111 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 1.333069 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 1.037351 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 2.12371 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 1.027614 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 0.522107 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 0.481176 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 1.997475 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 3.058031 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 0.307787 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 1.559711 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
#VALUE! #VALUE! #VALUE! #VALUE! 0.973947 #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!
ρ perlu < ρ maxAs perlu tul pakai As ada > As perlu
mm2 jml Ф (mm) mm2
#VALUE! #VALUE! 5 16 1004.8 #VALUE!
#VALUE! #VALUE! 4 16 803.84 #VALUE!
#VALUE! #VALUE! 4 13 530.66 #VALUE!
#VALUE! #VALUE! 3 13 397.995 #VALUE!
#VALUE! #VALUE! 4 13 530.66 #VALUE!
#VALUE! #VALUE! 3 13 397.995 #VALUE!
#VALUE! #VALUE! 2 12 226.08 #VALUE!
#VALUE! #VALUE! 3 12 339.12 #VALUE!
#VALUE! #VALUE! 2 12 226.08 #VALUE!
#VALUE! #VALUE! 2 12 226.08 #VALUE!
#VALUE! #VALUE! 2 12 226.08 #VALUE!
#VALUE! #VALUE! 3 13 397.995 #VALUE!
#VALUE! #VALUE! 4 16 803.84 #VALUE!
#VALUE! #VALUE! 2 13 265.33 #VALUE!
#VALUE! #VALUE! 3 13 397.995 #VALUE!
#VALUE! #VALUE! 2 13 265.33 #VALUE!
PERHITUNGAN PLAT
PROYEK - RUMAH MANYAR
1. TYPE PLAT TANGGA UTAMA-a bagian atas ( tebal 14 cm )
Tebal plat = 0.14 m
Panjang arah x (lx) = 1 m
Panjang datar = 3.88 m
Berat volume beton = 2400 kg/m3
Tebal selimut beton = 20 mm
d = 0.14*1000 - 20 - 5 = 115 mm
b = 1 m
L miring = 4.00679423 m
Beban-beban yang bekerja : 1. Beban mati
Plat = t * 2400 = 336 kg/m2
Finishing lantai (keramik) = 66 kg/m2
Anak tgga = 12 = 183.2887 kg/m2
Total = 585 kg/m2
2. Beban hidup
Beban hidup yang bekerja = 200 kg/m2
Wu = 1.2 * qd + 1.6 * ql = 1022.346408 kg/m2 (plat tangga)
Dari SAP (dianalisa sebagai balok) didapat :
Mu lap.plat tangga = 869 kgm = 8.52
Mu tump.plat tangga = 1800 kgm = 17.64
Mutu beton = 20 MPa
Mutu baja = 240 MPa
f = 0.8 Rn perlu = Mn perlu / ( b . d^2 )
ρ balance = 0.85 . fc'/fy x 600/(600+fy) = 0.050595
ρ max = 0.75 . ρ balance = 0.037946
r min u/ plat dg.Tul.fy240Mpa (altf SKSNI dan CUR) = 0.0025
m = fy/0.85 . fc' = 14.11764706
ρ min < ρ perlu < ρ max As perlu = ρ perlu . b . d
Arah Mu Mn Rn=Mn/bd2 r perlu cek r
lap di plat 8.52 10.64525 1.006 0.00419 0.004192 tum di plat 17.64 22.05 2.084 0.00868 0.008684 pembagi pembagi tangga pakai t = 140 mm bordes pakai t = 140 mm tulangan utama : Ø 10 - s = 150 tulangan bordes : Ø 13 - s = 120 tulangan pembagi : Ø 10 - s = 200
PERHITUNGAN GESER PADA PLAT TANGGA
Vc = 1/6
√ (
fc' bw . d)Ø = 0.6
jika : Vu < 0.5 ØVc ----> tidak tul geser
jika : 0.5 ØVc < Vu < ØVc ----> pakai tul geser minimal Vs min = 1/3 (Mpa) . bw . d
Øvs = vu < Øvc vu = Vu / bd
Øvc = 1/6
√
fc'Øvs = (vu - Øvc)
A sengk = (vu - Øvc) b y / (Øfy) A sengk min = b.y / (3 fy)
fc' = 20 Mpa fy sengk = 240 Mpa Vu b h d vu kg mm mm Mpa PLAT TANGGA 2,596 1,000 140 105 0.247238 BORDES 1,000 170 135 0
t bordes = 140
d bordes = 0 mm
(plat tangga)
kNm kNm
As perlu tul.pakai As ada As ada>Asperlu
mm2 Ø (mm) s (mm)
482 10 150 523 ok 999 13 120 1106 ok 96 10 200 393 ok 20% tul.utama 200 10 200 393 ok 20% tul.utama mm mm mm Øvc Øvc > vu ? Mpa
0.447214 ok, tdk perlu tul gsr
20% tul.utama 20% tul.utama