PlatBAB II PERENCANAAN PELAT LANTAI 2

A. Menentukan tebal pelat

L=4000mmAsumsi dimensi kolom=600x600
Ongen Kongle: Asumsi Awalmm2Tinggi balokh=350
Lenovo: bentang terpanjang / 12mm333.3333333333Lebar balokbw=250
Lenovo: h / (1,2 - 2)mm218.75Tebal 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=200mmTebal 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=3400mmfc'=20MPafy (begel/tulangan plat)=240MPa12Asumsi tebal plat=120mmPENENTUAN PERBANDINGAN KEKAKUAN RELATIF BALOK MEMANJANG TERHADAP PELAT LANTAIPlat 2 arahPlat 1 arah

PanelxyLx/LyJenis PelatA400026001.53852 arahB400026001.53852 arahC400026001.53852 arahD220019251.14292 arahE220026001.18182 arahF220026001.18182 arahG400032001.25002 arahH200022001.10002 arahI200022001.10002 arahJ200020001.00002 arahK400030001.33332 arah

Seluruh plat adalah plat 2 arah

Tabel hasil hitungan

Baloktipebe(mm)bwbe/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 sekitarnyaALAIL17.416614.33550.5ITAT8.7461IT13.7627IL17.4166BAT8.746113.42200.8030IT13.7627IT13.7627IL17.4166CAT8.746112.50851IT13.7627IT13.7627IT13.7627DAL11.048411.83000.7333AT8.7461IT13.7627IT13.7627EIT13.762711.25441AT8.7461AT8.7461IT13.7627FAT8.746112.16780.7708333333AT8.7461IL17.4166IT13.7627GIL17.416614.33550.5IT13.7627AT8.7461IL17.4166HIL17.416612.16780.7619AT8.7461AT8.7461IT13.7627IIL17.416613.08130.5IL17.4166AT8.7461AT8.7461JAT8.746111.25441AT8.7461IT13.7627IT13.7627KAT8.746113.42200.7857IL17.4166IT13.7627IT13.7627

TEBAL PELAT MENURUT PERSYARATAN LENDUTAN..(1)t 120 mm..(2)t 90 mm..(3)

Karena m A-K >2, maka digunakan persamaan (3)dan t tidak perlu lebih dari persamaan

fy=240Mpauntuk < 12arah xarah yPanelln (mm)
Lenovo: panjang bersihtmin
Lenovo: ?tmax
Lenovo: ?Panelln (mm)tmintmaxt min89.481mmA3775.0089.481100.667A2375.0056.29663.333t max100.667mmB3775.0083.836100.667B2375.0052.74463.333t120
Lenovo: syarat SNI = 120mmyang digunakanC3775.0080.533100.667C2375.0050.66763.333ln max3775.00mmD1975.0044.50752.667D1700.0038.31045.333E1975.0042.13352.667E2375.0050.66763.333F1975.0044.15752.667F2375.0053.10063.333G3775.0089.481100.667G2975.0070.51979.333H1775.0039.76047.333H1975.0044.24052.667I1775.0042.07447.333I1975.0046.81552.667J1775.0037.86747.333J1775.0037.86747.333K3775.0084.139100.667K2775.0061.85174.000

B. Perhitungan Momen

Beban Mati ( Wd )Berat sendiri pelat=24kN/m3Tebal plat=0.12mBerat spesi=21kN/m3Tebal spesi=0.02mBerat tegel=24kN/m3Tebal tegel=0.01mBerat instalasi kabel=0.18kN/m2Tebal pasir=0.01mBerat plafond=0.18kN/m2Berat pasir =16kN/m3

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

Beban Hidup ( Wl )Untuk Ruang Kantor=250kg/m2=2.5kN/m2(berdasarkan Pedoman Perencanaan Pembebanan Untuk Rumah dan Gedung, SKBI-1,3,53,1987)(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=5.684

Gaya geser yang bekerja (Vu)

=19.257785kN/m'

Misal digunakan selimut beton=20mmDiameter tulangan =10mmTebal pelat efektif (d)=95mmPelat ditinjau tiap (b)=1000mmFaktor reduksi ()=0.75

Vc=70808.8192874933N/m'=70.8088192875kN/m'

PENGECEKAN TERHADAP GAYA GESER

Vc=53.1066144656KNokVu=19.257785KNtebal pelat (t) = 120mm memenuhi persyaratan geserPERHITUNGAN MOMEN CARA TABEL Mc. ARTHUR

Perhitungan Momen Negatif Arah

PanelWuLn aLn bmCaseCa-Cb-Ma- (kNm)Mb- (kNm)(KN)(m)(m)A8.872
Lenovo: lantai 2 ruang kantor2.383.780.6320.07870.01233.93687563821.55904329B8.8722.383.780.6320.07870.01233.93687563821.55904329C8.8722.383.780.6320.07870.01233.93687563821.55904329D8.8721.701.980.8620.05890.03231.51081737221.117478305E8.8721.982.380.8320.06180.02952.14012923031.477603875F8.8721.982.380.8320.06180.02952.14012923031.477603875G8.8722.983.780.7920.06600.02585.17886104273.262938615H8.8721.781.980.9020.05500.04101.5373789751.418860145I8.8721.781.980.9020.05500.04101.5373789751.418860145J8.8721.781.781.0020.08600.00602.403901670.16771407K8.8722.783.780.7420.07050.02054.81587744752.593102615max5.17886104273.262938615

Perhitungan Momen Positif 1.2 DL =4.872kN/m2R. Kantor1.6 L =4kN/m2PanelLaLbmCaseCa+ dlCb+ dlCa+ llCb+ llMa+Mb+(m)(m)A2.383.780.6320.03280.00520.05510.00872.145210.85732B2.383.780.6320.03280.00520.05510.00872.145210.85732C2.383.780.6320.03280.00520.05510.00872.145210.85732D1.701.980.8620.02360.01240.03640.01960.752120.54275E1.982.380.8320.02470.01160.03850.01831.070380.73171F1.982.380.8320.02470.01160.03850.01831.070380.73171G2.983.780.7920.02650.01050.04200.01632.626951.65889H1.781.980.9020.02200.01600.03400.02500.766180.69412I1.781.980.9020.02200.01600.03400.02500.766180.69412J1.781.781.0020.03700.00200.06600.00401.399710.08111K2.783.780.7420.02860.00840.04620.01342.495681.34754Max2.626951.65889

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. neg0.050.0550.0790.0750.0380.0650.630.07866887420.0123311258Cb neg0.0410.0720.0450.0670.0560.0290.630.07866887420.01233112580.9Ca. neg0.0550.060.080.0790.0430.0680.630.07866887420.0123311258Cb neg0.0370.070.040.0620.0520.0250.860.05892405060.03229113920.85Ca. neg0.060.0660.0820.0830.0490.0720.830.06184210530.0295263158Cb neg0.0310.0650.0340.0570.0460.0210.830.06184210530.02952631580.8Ca. neg0.0650.0710.0830.0860.0550.0750.790.06595364240.025807947Cb neg0.0270.0610.0290.0510.0410.0170.900.0550.0410.75Ca. neg0.0690.0760.0850.0880.0610.0780.900.0550.041Cb neg0.0220.0560.0240.0440.0360.0141.000.0860.0060.7Ca. neg0.0740.0810.0860.0910.0680.0810.740.07049006620.0205099338Cb neg0.0170.050.0190.0380.0290.0110.65Ca. neg0.0770.0850.0870.0930.0740.083Cb neg0.0140.0430.0150.0310.0240.0080.6Ca. neg0.0810.0890.0880.0950.080.085Cb neg0.010.0350.0110.0240.0180.0060.55Ca. neg0.0840.0920.0890.0960.0850.086Cb neg0.0070.0280.0080.0190.0140.0050.5Ca. neg0.0860.0940.090.0970.0890.088Cb neg0.0060.0220.0060.0140.010.003

MOMEN 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. pos0.040.030.0310.0350.0340.0380.0360.0310.0320.630.05508609270.0087483444Cb pos0.0330.0250.0290.0290.0240.0290.0320.0270.0250.630.05508609270.00874834440.9Ca. pos0.0450.0340.0350.0390.0370.0420.040.0350.0360.630.05508609270.0087483444Cb pos0.0290.0220.0270.0260.0210.0250.0290.0240.0220.860.03635443040.01964556960.85Ca. pos0.050.0370.040.0430.0410.0460.0450.040.0390.830.03847368420.0182631579Cb pos0.0260.0190.0240.0230.0190.0220.0260.0220.020.830.03847368420.01826315790.8Ca. pos0.0560.0410.0450.0480.0440.0510.0510.0440.0420.790.04195364240.0162847682Cb pos0.0230.0170.0220.020.0160.0190.0230.0190.0170.900.0340.0250.75Ca. pos0.0610.0450.0510.0520.0470.0550.0560.0490.0460.900.0340.025Cb pos0.0190.0140.0190.0160.0130.0160.020.0160.0131.000.0660.0040.7Ca. pos0.0680.0490.0570.0570.0510.060.0630.0540.050.740.0461920530.0134039735Cb pos0.0160.0120.0160.0140.0110.0130.0170.0140.0110.65Ca. pos0.0740.0530.0640.0620.0550.0640.070.0590.054Cb pos0.0130.010.0140.0110.0090.010.0140.0110.0090.6Ca. pos0.0810.0580.0710.0670.0590.0680.0770.0650.059Cb pos0.010.0070.0110.0090.0070.0080.0110.0090.0070.55Ca. pos0.0880.0620.080.0720.0630.0730.0850.070.063Cb pos0.0080.0060.0090.0070.0050.0060.0090.0070.0060.5Ca. pos0.0950.0660.0880.0770.0670.0780.0920.0760.067Cb pos0.0060.0040.0070.0050.0040.0050.0070.0050.004

MOMEN 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. pos0.040.020.0210.030.0280.0360.0310.0220.0240.630.03283443710.0051655629Cb pos0.0330.0160.0250.0240.0150.0240.0310.0210.0170.630.03283443710.00516556290.9Ca. pos0.0450.0220.0250.0330.0290.0390.0350.0250.0260.630.03283443710.0051655629Cb pos0.0290.0140.0240.0220.0130.0210.0280.0190.0150.860.02356962030.01243037970.85Ca. pos0.050.0240.0290.0360.0310.0420.040.0290.0280.830.02473684210.0116315789Cb pos0.0260.0120.0220.0190.0110.0170.0250.0170.0130.830.02473684210.01163157890.8Ca. pos0.0560.0260.0340.0390.0320.0450.0450.0320.0290.790.02647682120.0105231788Cb pos0.0230.0110.020.0160.0090.0150.0220.0150.010.900.0220.0160.75Ca. pos0.0610.0280.040.0430.0330.0480.0510.0360.0310.900.0220.016Cb pos0.0190.0090.0180.0130.0070.0120.020.0130.0071.000.0370.0020.7Ca. pos0.0680.030.0460.0460.0350.0510.0580.040.0330.740.02859602650.0084039735Cb pos0.0160.0070.0160.0110.0050.0090.0170.0110.0060.65Ca. pos740.0320.0540.050.0360.0540.0650.0440.034Cb pos0.0130.0060.0140.0090.0040.0070.0140.0090.0050.6Ca. pos0.0810.0340.0620.0530.0370.0560.0730.0480.036Cb pos0.010.0040.0110.0070.0030.0060.0120.0070.0040.55Ca. pos0.0880.0350.0710.0560.0380.0580.0810.0520.037Cb pos0.0080.0030.0090.0050.0020.0040.0090.0050.0030.5Ca. pos0.0950.0370.080.0590.0390.0610.0890.0560.038Cb pos0.0060.0020.0070.0040.0010.0030.0070.0040.002

tulangan platPerhitungan Tulangan Pelat Lantai 2 dan 3

Data : tul=10.00mm cu =0.003Note :h Plat =120.00mmEs =200,000.00MPa1 = 0.85 jika f'c < 30 MPaselimut =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' =20.00MPa

A. PENULANGAN POSITIF

Momen Ultimit (Mu) (Dari tabel perhitungan)Ma+=2,626,950.84NmmMb+=1,658,886.76NmmMa-=5,178,861.04NmmMb-=3,262,938.62Nmm

Mu Positif=2,626,950.84Nmm

Perhitungan tulangan pelat lantai

Cb=67.86

Balance=0.043

Max=0.75. Balance=0.032

Rn=mu / (f.b.d2)=0.363843606804

perlu=0.0015325951

nilai

min=0.0058 min=0.0047 min (max)=0.0058min < r perlu, maka r perlu yang dipergunakan, jika r min > r perlu maka dipakai r min perlu=0.0058

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

Jarak antar tulangans=(1/4.p.2.1000)/As=141.73mmdigunakan jarak antar tulangan :=140.00mm

Check jarak yang diperlukanSpasi maksimum antar tulangan tidak boleh melebihi nilai terkecil dari 3 kali tebal plat dan 500 mms=140.00< 3.h =360.00OKE< 500.00OKEjarak minimal antar tulangan (dh) adalah 1.5 db atau 30 mms yang dipergunakan =140.00mm >15.00mm30.00mmJumlah tulangan yang diperlukan setiap jarak 1000 mmAs tulangan=(1/4.p.2.1000)/s=561.00mm2

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

jumlah tulangan dan jarak antar tulangann =As perlu / A tulangan=8.00bhs=140.00mm

Menghitung Momen Lentura=(As.fy)/(0.85.fc'.b)=7.92mm

Momen nominal

=12257598.1831942NmmMomen Rencanaf . Mn=9,806,078.55Nmm

Momen Rencana > Momen Perlu9,806,078.55>2,626,950.84Nmm..OKE

D10-140

B. PENULANGAN MOMEN NEGATIF

Mu Negatif=5,178,861.04Nmm

Cb=67.86

Balance=0.043

Max=0.75. Balance=0.032

m=fy / (0.85 . fc')=14.12

Rn=mu / (f.b.d2)=0.7172937732338

perlu=0.0030545864

nilai

min=0.0058=0.0047 min (max)=0.0058min < r perlu, maka r perlu yang dipergunakan, jika r min > r perlu maka dipakai r min perlu=0.0058

Luas tulanganAs perlu=.b.d=554.17mm2

Jarak antar tulangans=(1/4.p.2.1000)/As=141.73mmdigunakan jarak antar tulangan :=140.00mm

Check jarak yang diperlukanSpasi maksimum antar tulangan tidak boleh melebihi nilai terkecil dari 3 kali tebal plat dan 500 mms=140.00< 3.h =360.00OKE< 500.00OKEjarak minimal antar tulangan (dh) adalah 1.5 db atau 30 mms yang dipergunakan =140.00mm >15.00mm30.00mmJumlah tulangan yang diperlukan setiap jarak 1000 mmAs terpakai=(1/4.p.2.1000)/s=561.00mm2

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

jumlah tulangan dan jarak antar tulangann =As perlu / A tulangan=8.00bhs=140.00mmMenghitung Momen Lentura=(As.fy)/(0.85.fc'.b)=7.92mm

Momen nominal

=12257598.1831942Nmm

Kapasitas momenf . Mn=9,806,078.55Nmm

Kapasitas momen > Kapasitas pembebanan9,806,078.55>5,178,861.04Nmm..OKE

D10-140

tul susutC. Menentukan Tulangan Susut dan SuhuMenggunakan tulangan polos (persyaratan yang dipakai dari PBI '71)b=1,000.00mmd=95.00mmh=120.00As pokok=561.00mm2

As susut=300mm2atau

As susut = 20% As pokok=112.1997376282mm2

diambil Assus=300dicoba tulangan=8mmjarak antar tulangan=167.4666666667mmdigunakan =160mm

maka dipakai tulangan susut dan suhu 8 - 150Cek jarak antar tulangansyarat1600.0003129..OKE0.0001629..OKE

I. Perhitungan Lebar Retak

Berdasarkan SNI 03-XXX-2002, nilai lebar retak tidak boleh melebihi 0,4 mm atau untuk penampangdi dalam ruangan dan 0,3 mm untuk penampang yang dipengaruhi cuaca luar.

fs =144.00MPa =1.92dc =25.00mmn =8.00A =628.32mm2 =0.23syarat :0.40mmuntuk penampang di dalam ruangan 0.230.40..OKE

BENTUK PENULANGAN PADA PLAT LANTAI