PlatBAB II PERENCANAAN PELAT LANTAI 2

A. Menentukan tebal pelat

Bentang terpanjang pemodelan pelat=3900mmAsumsi dimensi kolom=500X500
Ongen Kongle: Asumsi Awalmm2260mmTinggi balok indukh=350
Lenovo: L / 12L / (15-10)mm325mm390mmLebar balok indukbw=250
Lenovo: h / (1,5 - 2)2/3 * hmm216.67mmTebal Pelatt=120mm

Balok Induk LLebar efektifbe = bw + (h-t)480mmbe = bw + 4t730mmdiambil480mm

Balok Induk TLebar Efektifbe = bw + 2(h-t)710mmbe = bw + 8t1210mmdiambil710mm

Tinggi balok anakh=300mmLebar balok anakbw=200mm390Tebal Pelatt=120mmBalok anak LLebar efektifbe = bw + (h-t)380mmbe = bw + 4t680mmdiambil380mm

Balok anak TLebar Efektifbe = bw + 2(h-t)560mmbe = bw + 8t1160mmdiambil560mm

Momen Inersia Balok (Ib)Momen Inersia Pelat (Is)Tinggi tiap lantai=3900mmfc'=30MPafy (begel/tulangan plat)=240MPa12Asumsi tebal plat=120mmPENENTUAN PERBANDINGAN KEKAKUAN RELATIF BALOK MEMANJANG TERHADAP PELAT LANTAIPlat 2 arahPlat 1 arahLy sisi panjang Lx sisi pendekRumus yang bener Ly/Lx

PanelxyLy/LxJenis Pelat (arah)A290039001.34482B120039003.25001C131030002.29011D290039001.34482E200039001.95002F210039001.85712G290042001.44832H300042001.40002I200042002.10001J210021001.00002K290029301.01032L244029001.18852M200029301.46502N210024401.16192O150020001.33332P150029001.93332Q195020801.06672R180021501.19442S180020801.15562T210021501.02382U208021001.00962Hitungan pelat 1 arah gimanaV195021501.10262

Tabel hasil hitungan

Baloktipebe(mm)bw (mm)be/bwt/hkIb (mm4)Is (mm4)iInduk LL4802501.92000.34285714291.3477312671203832876.484226912000017.4165636065anak LL3802001.90000.41.3434823529604567058.8235295472000011.048374613Induk TT7102502.84000.34285714291.57529429381407098809.2735310224000013.7627035336anak TT5602002.80000.41.5672930233705281860.465116806400008.7460548173

ILPanelBalokims
Lenovo: perbandingan antara balok yg terkekang dengan bila semua terkekang pelat sekitarnyaALAIL17.416613.08130.5ITIL17.4166AT8.7461AT8.7461BIT13.762712.74340.5IL17.4166AT8.7461AL11.0484CIL17.416613.65690.5IL17.4166AL11.0484AT8.7461DIL17.416613.08130.5IL17.4166AT8.7461AT8.7461EIL17.416612.16780.5IT13.7627AT8.7461AT8.7461FIL17.416613.08130.5IL17.4166AT8.7461AT8.7461GIL17.416613.42200.5IT13.7627IT13.7627AT8.7461HIT13.762711.83000.5IT13.7627AL11.0484AT8.7461IIT13.762712.50850.5IT13.7627IT13.7627AT8.7461JIL17.416612.16780.5IT13.7627AT8.7461AT8.7461KIL17.416612.74340.5IT13.7627YANG INI UNTUK CEK TEBAL PELAT MEMENUHI ATAU TIDAK ... SKIP DULU LAHAL11.0484AT8.7461LIL17.416611.48930.5AT8.7461AL11.0484AT8.7461MIT13.762711.83000.5IT13.7627AT8.7461AL11.0484NIL17.416613.08130.5IL17.4166AT8.7461AT8.7461OIT13.762711.25440.5IT13.7627AT8.7461AT8.7461PIT13.762711.25440.5IT13.7627AT8.7461AT8.7461QIL17.416613.08130.5IL17.4166AT8.7461AT8.7461RIT13.762710.00020.5AT8.7461AT8.7461AT8.7461SIL17.416612.16780.5IT13.7627AT8.7461AT8.7461TAT8.74618.74610.5AT8.7461AT8.7461AT8.7461UIL17.416610.91370.5AT8.7461AT8.7461AT8.7461VIT13.762710.00020.5AT8.7461AT8.7461AT8.7461

TEBAL PELAT MENURUT PERSYARATAN LENDUTAN

..(1)

t 120 mm..(2)

t 90 mm..(3)

Karena m Panel A s.d Panel K >2, maka digunakan persamaan (3)dan t tidak perlu lebih dari persamaan

fy=240Mpauntuk < 12

Arah xArah yPanelln (mm)
Lenovo: panjang bentang bersihtmin
Lenovo: tebal pelat minimumtmax
Lenovo: tebal pelat maksimumPanelln (mm)tmintmaxln max =3975.00mm(panjang bentang bersih)A2675.0063.40771.333A3675.0087.11198.000t min =94.222mm(tebal pelat minimum)B975.0023.11126.000B3675.0087.11198.000t max =106.000mm(tebal pelat maksimum)C1085.0025.71928.933C2775.0065.77874.000t asumsi =120mmyang digunakanD2675.0063.40771.333D3675.0087.11198.000(memenuhi persyaratan lendutan)E1775.0042.07447.333E3675.0087.11198.000F1875.0044.44450.000F3675.0087.11198.000G2675.0063.40771.333G3975.0094.222106.000H2775.0065.77874.000H3975.0094.222106.000I1775.0042.07447.333I3975.0094.222106.000J1875.0044.44450.000J1875.0044.44450.000K2675.0063.40771.333K2705.0064.11972.133L2215.0052.50459.067L2675.0063.40771.333M1775.0042.07447.333M2705.0064.11972.133N1875.0044.44450.000N2215.0052.50459.067O1275.0030.22234.000O1775.0042.07447.333P1275.0030.22234.000P2675.0063.40771.333Q1725.0040.88946.000Q1855.0043.97049.467R1575.0037.33342.000R1925.0045.63051.333S1575.0037.33342.000S1855.0043.97049.467T1875.0044.44450.000T1925.0045.63051.333U1855.0043.97049.467U1875.0044.44450.000V1725.0040.88946.000V1925.0045.63051.333

B. Perhitungan MomenBeban Mati ( Wd )Berat sendiri pelat=24kN/m3Tebal plat=0.12mBerat spesi=21kN/m3Tebal spesi=0.02mBerat tegel=24kN/m3Tebal tegel=0.01mBerat pasir =16kN/m3Tebal pasir=0.01mBerat instalasi kabel=0.18kN/m2Berat plafond=0.18kN/m2

Berat sendiri pelat=2.88kN/m2Berat spesi=0.42kN/m2Berat tegel=0.24kN/m2Berat pasir=0.16kN/m2Berat instalasi kabel=0.18kN/m2Berat plafond=0.18kN/m2BERAT TOTAL=4.06kN/m2

Beban Hidup ( Wl )Untuk Ruang Kantor=250kg/m2=2.50kN/m2(berdasarkan Pedoman Perencanaan Pembebanan Untuk Rumah dan Gedung, SKBI-1,3,53,1987)

Beban terfaktor ruang kantor(Wu)=1,2Wd + 1,6Wlbeban terfaktor=1,4Wd =8.872kN/m2=5.684kN/m2

Gaya geser yang bekerja (Vu)

=20.278kN/m'

Digunakan tebal selimut beton=20mmAsumsi diameter tulangan =10mmTebal pelat efektif (d)=95mmPelat ditinjau tiap (b)=1000mmFaktor reduksi ()=0.75

Vc=86722.738N/m'=86.723kN/m'

PENGECEKAN TERHADAP GAYA GESER

Vc=65.0421KNoktebal pelat (t) = 120 mm memenuhi persyaratan geserVu=20.278KNPERHITUNGAN MOMEN CARA TABEL Mac ArthurLn =Panjang bentang bersihMa =Momen pada bentang pendekLn a =Panjang bentang pendekMb =Momen pada bentang panjangLn b =Panjang bentang panjangCa & Cb =Koefisien Mac Arthur, bedasarkan perbandingan bentang

Perhitungan Momen Negatif

PanelWuLn aLn bmCaseCa-Cb-Ma- (kNm)Mb- (kNm)(KN)(m)(m)A8.8722.6753.6750.7320.071210.019794.520802.37117B8.8720.9753.6750.2710.086000.006000.725320.71893C8.8721.0852.7750.3910.086000.006000.898210.40992D8.8722.6753.6750.7320.071210.019794.520802.37117E8.8721.7753.6750.4820.086000.006002.403900.71893F8.8721.8753.6750.5120.085590.006202.669660.74338G8.8722.6753.9750.6720.075620.015384.800882.15565H8.8722.7753.9750.7020.074000.017005.055682.38311I8.8721.7753.9750.4510.086000.006002.403900.84110J8.8721.8751.8751.0020.045000.045001.403581.40358K8.8722.6752.7050.9920.046110.044112.927222.86365L8.8722.2152.6750.8320.062200.029242.707281.85648M8.8721.7752.7050.6620.076630.014372.141950.93295N8.8721.8752.2150.8520.060000.031001.871441.34937O8.8721.2751.7750.7220.072170.018831.040860.52637P8.8721.2752.6750.4820.086000.006001.240340.38091Q8.8721.7251.8550.9320.052010.039391.373001.20264R8.8721.5751.9250.8220.063180.028451.390510.93548S8.8721.5751.8550.8520.060000.031001.320490.94639T8.8721.8751.9250.9720.047600.042921.484591.41112U8.8721.8551.8750.9920.046110.044111.407651.37590V8.8721.7251.9250.9020.055000.037001.451991.21642Max5.055682.86365

Perhitungan Momen Positif 1.2 DL =4.872kN/m21.6 LL =4kN/m2PanelLn aLn bmCaseCa+ dlCb+ dlCa+ llCb+ llMa+ (kNm)Mb+ (kNm)(m)(m)A2.6753.6750.7320.028880.008120.046770.013122.345611.24254B0.9753.6750.2710.037000.002000.066000.004000.422330.34769C1.0852.7750.3910.037000.002000.066000.004000.523000.19824D2.6753.6750.7320.028880.008120.046770.013122.345611.24254E1.7753.6750.4820.037000.002000.066000.004001.399710.34769F1.8753.6750.5120.036590.002200.065180.004411.543390.38317G2.6753.9750.6720.031080.006460.051160.010922.548011.18729H2.7753.9750.7020.030000.007000.049000.012002.634851.29729I1.7753.9750.4510.037000.002000.066000.004001.399710.40677J1.8751.8751.0020.018000.018000.027000.027000.687990.68799K2.6752.7050.9920.018440.017560.027670.026561.434841.40311L2.2152.6750.8320.024880.011560.038760.018121.355280.92172M1.7752.7050.6620.031750.006120.052500.010251.149080.51824N1.8752.2150.8520.024000.012000.037000.019000.931390.65971O1.2751.7750.7220.029270.007730.047540.012730.540900.27915P1.2752.6750.4820.037000.002000.066000.004000.722210.18421Q1.7251.8550.9320.020800.015200.031200.024200.673010.58782R1.5751.9250.8220.025270.011360.039550.017730.697830.46792S1.5751.8550.8520.024000.012000.037000.019000.657190.46269T1.8751.9250.9720.019040.016960.028560.025960.727700.69102U1.8551.8750.9920.018440.017560.027670.026560.689990.67416V1.7251.9250.9020.022000.014000.034000.022000.723620.57885Max2.634851.40311

Tabel Mac ArthurMOMEN NEGATIF

RasioTipe 1Tipe 2Tipe 3Tipe 4Tipe 5Tipe 6Tipe 7Tipe 8Tipe 9m = la/lb1Ca. neg0.0450.050.0750.0710.0330.061Cb neg0.0450.0760.050.0710.0610.033mca-cb-0.95Ca. neg0.050.0550.0790.0750.0380.0650.730.0712110.019789ACb neg0.0410.0720.0450.0670.0560.0290.270.0860000.006000B0.9Ca. neg0.0550.060.080.0790.0430.0680.390.0860000.006000CCb neg0.0370.070.040.0620.0520.0250.730.0712110.019789D0.85Ca. neg0.060.0660.0820.0830.0490.0720.480.0860000.006000ECb neg0.0310.0650.0340.0570.0460.0210.510.0855920.006204F0.8Ca. neg0.0650.0710.0830.0860.0550.0750.670.0756230.015377GCb neg0.0270.0610.0290.0510.0410.0170.700.0740000.017000H0.75Ca. neg0.0690.0760.0850.0880.0610.0780.450.0860000.006000ICb neg0.0220.0560.0240.0440.0360.0141.000.0450000.045000J0.7Ca. neg0.0740.0810.0860.0910.0680.0810.990.0461090.044113KCb neg0.0170.050.0190.0380.0290.0110.830.0621960.029243L0.65Ca. neg0.0770.0850.0870.0930.0740.0830.660.0766280.014372MCb neg0.0140.0430.0150.0310.0240.0080.850.060.031N0.6Ca. neg0.0810.0890.0880.0950.080.0850.720.07216901410.0188309859OCb neg0.010.0350.0110.0240.0180.0060.480.0860000.006000P0.55Ca. neg0.0840.0920.0890.0960.0850.0860.930.05200808630.039393531QCb neg0.0070.0280.0080.0190.0140.0050.820.06318181820.0284545455R0.5Ca. neg0.0860.0940.090.0970.0890.0880.850.060.031SCb neg0.0060.0220.0060.0140.010.0030.970.04759740260.0429220779T0.990.0461090.044113U0.900.0550.037VMOMEN POSITIF BEBAN HIDUP

RasioTipe 1Tipe 2Tipe 3Tipe 4Tipe 5Tipe 6Tipe 7Tipe 8Tipe 9m = la/lb1Ca. pos0.0360.0270.0270.0320.0320.0350.0320.0280.03Cb pos0.0360.0270.0320.0320.0270.0320.0350.030.028mca+cb+0.95Ca. pos0.040.030.0310.0350.0340.0380.0360.0310.0320.730.0467690.013116ACb pos0.0330.0250.0290.0290.0240.0290.0320.0270.0250.270.0660000.004000B0.9Ca. pos0.0450.0340.0350.0390.0370.0420.040.0350.0360.390.0660000.004000CCb pos0.0290.0220.0270.0260.0210.0250.0290.0240.0220.730.0467690.013116D0.85Ca. pos0.050.0370.040.0430.0410.0460.0450.040.0390.480.0660000.004000ECb pos0.0260.0190.0240.0230.0190.0220.0260.0220.020.510.0651840.004408F0.8Ca. pos0.0560.0410.0450.0480.0440.0510.0510.0440.0420.670.0511640.010918GCb pos0.0230.0170.0220.020.0160.0190.0230.0190.0170.700.0490000.012000H0.75Ca. pos0.0610.0450.0510.0520.0470.0550.0560.0490.0460.450.0660000.004000ICb pos0.0190.0140.0190.0160.0130.0160.020.0160.0131.000.0270000.027000J0.7Ca. pos0.0680.0490.0570.0570.0510.060.0630.0540.050.990.0276650.026556KCb pos0.0160.0120.0160.0140.0110.0130.0170.0140.0110.830.0387570.018121L0.65Ca. pos0.0740.0530.0640.0620.0550.0640.070.0590.0540.660.0525050.010248MCb pos0.0130.010.0140.0110.0090.010.0140.0110.0090.850.0370.019N0.6Ca. pos0.0810.0580.0710.0670.0590.0680.0770.0650.0590.720.04753521130.0127323944OCb pos0.010.0070.0110.0090.0070.0080.0110.0090.0070.480.0660000.004000P0.55Ca. pos0.0880.0620.080.0720.0630.0730.0850.070.0630.930.03120485180.0241967655QCb pos0.0080.0060.0090.0070.0050.0060.0090.0070.0060.820.03954545450.0177272727R0.5Ca. pos0.0950.0660.0880.0770.0670.0780.0920.0760.0670.850.0370.019SCb pos0.0060.0040.0070.0050.0040.0050.0070.0050.0040.970.02855844160.025961039T0.990.0276650.026556U0.900.0340.022VMOMEN POSITIF BEBAN MATI

RatioTipe 1Tipe 2Tipe 3Tipe 4Tipe 5Tipe 6Tipe 7Tipe 8Tipe 9m = la/lb1Ca. pos0.0360.0180.0180.0270.0270.0330.0270.020.023Cb pos0.0360.0180.0270.0270.0180.0270.0330.0230.02mca+cb+0.95Ca. pos0.040.020.0210.030.0280.0360.0310.0220.0240.730.0288840.008116ACb pos0.0330.0160.0250.0240.0150.0240.0310.0210.0170.270.0370000.002000B0.9Ca. pos0.0450.0220.0250.0330.0290.0390.0350.0250.0260.390.0370000.002000CCb pos0.0290.0140.0240.0220.0130.0210.0280.0190.0150.730.0288840.008116D0.85Ca. pos0.050.0240.0290.0360.0310.0420.040.0290.0280.480.0370000.002000ECb pos0.0260.0120.0220.0190.0110.0170.0250.0170.0130.510.0365920.002204F0.8Ca. pos0.0560.0260.0340.0390.0320.0450.0450.0320.0290.670.0310820.006459GCb pos0.0230.0110.020.0160.0090.0150.0220.0150.010.700.0300000.007000H0.75Ca. pos0.0610.0280.040.0430.0330.0480.0510.0360.0310.450.0370000.002000ICb pos0.0190.0090.0180.0130.0070.0120.020.0130.0071.000.0180000.018000J0.7Ca. pos0.0680.030.0460.0460.0350.0510.0580.040.0330.990.0184440.017556KCb pos0.0160.0070.0160.0110.0050.0090.0170.0110.0060.830.0248790.011561L0.65Ca. pos740.0320.0540.050.0360.0540.0650.0440.0340.660.0317520.006124MCb pos0.0130.0060.0140.0090.0040.0070.0140.0090.0050.850.0240.012N0.6Ca. pos0.0810.0340.0620.0530.0370.0560.0730.0480.0360.720.02926760560.0077323944OCb pos0.010.0040.0110.0070.0030.0060.0120.0070.0040.480.0370000.002000P0.55Ca. pos0.0880.0350.0710.0560.0380.0580.0810.0520.0370.930.02080323450.0151967655QCb pos0.0080.0030.0090.0050.0020.0040.0090.0050.0030.820.02527272730.0113636364R0.5Ca. pos0.0950.0370.080.0590.0390.0610.0890.0560.0380.850.0240.012SCb pos0.0060.0020.0070.0040.0010.0030.0070.0040.0020.970.0190389610.016961039T0.990.0184440.017556U0.900.0220.014V

tulangan platPerhitungan Tulangan Pelat Lantai 3

Data : tul=10.00mm cu =0.003Note :h plat =120.00mmEs =200,000.00MPa1 = 0.85 jika f'c < 30 MPat selimut =20.00mm1 =0.851 = 0.85 - 0.08(f'c - 30) jika 30 < f'c < 55 MPad =95.00mmb =1,000.00mm1 = 0.65 jika f'c > 55 MPafy =240.00MPa =0.80fc' =30.00MPa

A. PENULANGAN MOMEN POSITIF

Momen Ultimit (Mu) (Dari tabel perhitungan)Ma+=2634845.850NmmMb+=1403114.012NmmMa-=5055675.930NmmMb-=2863652.037Nmm

Mu Positif=2,634,845.85Nmm

Cb=67.857

Balance=0.065

Max=0.75. Balance=0.048

Rn=mu / (f.b.d2)=0.36494

perlu=0.00153

min=0.0058 min=0.0057 min (max)=0.0058

jika min < perlu maka perlu yang dipergunakan, jika min > perlu maka dipakai min perlu=0.0058

Luas tulanganAs perlu=r.b.d=554.17mm2

Jarak antar tulangan (s) =(1/4.p.2.1000)/As141.73mm

digunakan jarak antar tulangan =125.00mm

Cek jarak yang diperlukanJarak maksimum antar tulangan tidak boleh melebihi nilai terkecil dari 3 kali tebal plat dan 500 mms yang digunakan =125.00< 3.h360.00OKE< 500.00OKEJarak minimum antar tulangan (dh) adalah 1.5 db atau 30 mms yang digunakan =125.00>15.00OKE>30.00OKELuasan tulangan yang diperlukan setiap jarak 1000 mmAs terpakai=(1/4.p.2.1000)/s=628.32mm2

Luasan satu tulangan yang diperlukan As tulangan=1/4.p.2=78.54mm2

Jumlah tulangan dan jarak antar tulangann =A terpakai / A tulangan=8.00bhs=125.00mm

Menghitung momen lentura=(As.fy)/(0.85.fc'.b)=5.914mm

Momen nominal

=13879788.607NmmMomen rencanaf . Mn=11,103,830.886Nmm

Momen Rencana > Momen Perlu11,103,830.89>2,634,845.85Nmm..OKE

D10-125Diameter tulangan & Jarak antar tulanganyang digunakan pada momen positif

B. PENULANGAN MOMEN NEGATIF

Mu Negatif=5,055,675.930Nmm

Cb=67.857

Balance=0.065

Max=0.75. Balance=0.048

m=fy / (0.85 . fc')=9.41

Rn=mu / (f.b.d2)=0.70023

perlu=0.00296

min=0.0058 min=0.0057 min (max)=0.0058

jika min < perlu maka perlu yang dipergunakan, jika min > perlu maka dipakai min perlu=0.0058

Luas tulanganAs perlu=.b.d=554.17mm2

Jarak antar tulangan (s) =(1/4.p.2.1000)/As141.73mm

digunakan jarak antar tulangan =125.00mm

Cek jarak yang diperlukanJarak maksimum antar tulangan tidak boleh melebihi nilai terkecil dari 3 kali tebal plat dan 500 mms=125.00< 3.h =360.00OKE< 500.00OKEJarak minimum antar tulangan (dh) adalah 1.5 db atau 30 mms yang dipergunakan =125.00>15.00OKE30.00OKELuasan tulangan yang diperlukan setiap jarak 1000 mmAs terpakai=(1/4.p.2.1000)/s=628.32mm2

Luasan satu tulangan yang diperlukan A tulangan=1/4.p.2=78.54mm2

Jumlah tulangan dan jarak antar tulangann =A terpakai / A tulangan=8.00bhs=125.00mmMenghitung Momen Lentura=(As.fy)/(0.85.fc'.b)=5.914mm

Momen nominal

=13879788.607Nmm

Momen rencanaf . Mn=11,103,830.886Nmm

Momen Rencana > Momen Perlu11,103,830.89>5,055,675.93Nmm..OKE

D10-125Diameter tulangan & Jarak antar tulanganyang digunakan pada momen negatif

tul susutC. Menentukan Tulangan Susut dan SuhuMenggunakan tulangan polos (persyaratan yang dipakai dari PBI '71)Pelat ditinjau tiap (b)=1000.00mmTebal pelat efektif (d)=95.00mmTebal pelat (h)=120.00mmAs pokok=628.32mm2

As susut=300mm2

As susut = 20% As pokok=125.664mm2

diambil As susut=300mm2

Dicoba tulangan=8mmjarak antar tulangan=167.552mmjarak antar tulangan yg digunakan =150mm

Cek jarak antar tulangan :jarak antar tulangan tidak boleh melebihi nilai terkecil dari 5 kali tebal plat dan 500 mmsyarat150