Sheet1Modul Ajar 4b Mekanika Teknik IIIMetoda Momen DistribusiTUJUAN UMUM:Mahasiswa bisa menganalisa struktur statis tak tentu Metoda Momen Distribusi atau CrossTujuan khusus:Mahasiswa bisa menyelesaikan Portal bergoyangn yang mempunyai batang miring.DENGAN BATANG MIRINGPENDEL HORISONTAL di DPENDEL VERTIKAL di CBCDBDClihat gambar danpenyelesaian dgnPendel Vertikaldi C sejajar denganpenyelesaian dgnAPendel HorisontalAdi DDengan pilihan akibat :BEBAN LUARatauPERPINDAHAN TUMPUAN JEPIT ADengan berbagai beban P dan q serta perpindahan Tumpuan diselesaikan dengan 2 kemungkinanletak Pendel yang berbeda yaitu :a) Pendel Horisontal di Db) Pendel Vertikal di Cbeban terpusatbeban terbagiINPUT data:ratapanjangV1=3ton q1=0t/m LBC=1mkekakuan batangV2=0ton q2=3t/m LCD=3mCD2EIV3=3ton q3=0t/m LDE=1mV4=0ton q4=3t/m LAC VERTIKAL =4mAC4EIH1 =0tonLAC HORISONTAL=3mH2 =0tonEI =8000ton m2Pendel di D horisontalPendel di C vertikalPILIH SOALAkibat beban kuar(B) ebanV,H dan qAtauGerakan tumpuan Jepit A(T) urun6cmAtau(K) ekiri5cmPILIHANb3ton = V10ton = V23ton = V3PILIHANb3Pendel0ton3ton0t/m =q13t/m= q20t/m = q3Pendel0t/m3t/m0t/m0ton = H20tonBC2EIDEBC2EIDE0ton = V40tonq4 =33t/mt/m0ton = H1EI =8000tm24m0ton5mEI =8000tm24m4EI4EI1.513m3m1mA1mAm1.53m3m1mISIKAN angka 0 atau 1:1Keterangan:angka 1 bila melihat jawabanPendelangka 0 bila jawaban dihilangkan sementaraPendelBC2EIDEBC2EIDE7685320mFase 0 akibat DVA menggantikanEI =8000tm24mFase 0 akibat DVA menggantikanEI =8000tm24mposisi beban luarposisi beban luar4EI7684EIturunturunv =Av =A63m3m163m3m1cmmcmm11Pakai rumus 6 EI D / L2mPakai rumus 6 EI D / L2muntuk batang AC karena Jepit-jepituntuk batang AC karena Jepit-jepitPendeldan rumus 3 EI D / L2dan rumus 3 EI D / L2untuk batang CD karena jepit-sendi/rol.BC2EIDEuntuk batang CD karena jepit-sendi/rol.BC2EIDENilai EI dan D diisi dgn angkaNilai EI dan D diisi dgn angka55m200mFase 0 akibat DHA menggantikan480EI =8000tm24mFase 0 akibat DHA menggantikanEI =8000tm24mposisi beban luar480posisi beban luar4EI4EIkekirikekirih =h =5A5Acm3m3m1cm3m3m1mm11mmMenghitung Angka Kekakuan dan Momen Primair Fase 0Menghitung Angka Kekakuan dan Momen Primair Fase 0isikan satuan yang diinginkankedalamte(to)n cmkCA=3.2pilihan :(kg) mkCA=3.2k'CD=2(te)tapk'CD=2MpCB=-3ton meter=-3ton cmMpCB=-3ton meter=-3ton cmMpCD=3.375ton meter=3.375ton cmMpCD=3.375ton meter=3.375ton cmMpDE=3ton meter=3ton cmMpDE=3ton meter=3ton cmMpAC=4ton meter=4ton cmMpAC=4ton meter=4ton cmMpCA=-4ton meter=-4ton cmMpCA=-4ton meter=-4ton cmPerhitungan Fase 0akibat beban luarPerhitungan Fase 0akibat beban luarACDACDACCACBCDDCDEACCACBCDDCDE0.61538461540.38461538460.61538461540.38461538464-4-33.37534-4-33.37532.23076923081.3942307692-32.23076923081.3942307692-31.1153846154-1.51.1153846154-1.50.92307692310.57692307690.92307692310.57692307690.46153846150.4615384615M akhir fase 05.5769230769-0.8461538462-33.8461538462-33ton cmM akhir fase 05.5769230769-0.8461538462-33.8461538462-33ton cm5.5769230769-0.8461538462-33.8461538462-33ton meter5.5769230769-0.8461538462-33.8461538462-33ton meterRO =-14.205128205133ton = V10ton = V23ton = V33ton = V10tonton-33.8461538462-33-334.78205128213.8461538462-330t/m =q110.65384615383t/m= q210.65384615380t/m = q30t/m0003t/m00t/m0ton = H2B0C2EIDE0tonB00C2EIDE134.78205128213m4.217948717931RO =13-6.42307692314.78205128213m4.217948717931mm10.6538461538mmm-0.8461538462-0.846153846210.653846153800ton = V47.78205128210ton-6.423076923133t/mt/m0ton = H14m0ton4m4EI4EI5.57692307695.5769230769-1.3461538462-127.7820512821A-6.4230769231A3m3mPerhitungan Fase I, tidak berubah untuk ke 3 macam contoh beban diatasPerhitungan Fase I, tidak berubah untuk ke 3 macam contoh beban diatasCC2EID2EID5m0.50.66666666671.21.64EI4EI1.21.6AAACACACCACDACCACD0.61538461540.38461538460.61538461540.3846153846100100-41.6666666667100100-41.6666666667-35.8974358974-22.4358974359-35.8974358974-22.4358974359-17.9487179487-17.9487179487M akhir fase I82.051282051364.1025641026-64.1025641026M akhir fase I82.051282051364.1025641026-64.102564102670.0855-64.10256410260-64.10256410260-52.5641025641-52.564102564100002EIDRI =2EID-21.36752136753m21.3675213675-52.564102564148.7179-21.3675213675-21.36752136753m21.367521367564.102564102664.1025641026-52.56410256410-21.367521367548.71794m4m4EI4EI82.051282051382.0512820513-52.56410256410-21.367521367548.71793m3m10.6538461538+ X-52.5641025641=0-14.2051282051+ X70.0854700855=0X =0.2026829268X =0.2026829268ACDACDACCACBCDDCDEACCACBCDDCDEMo5.5769230769-0.8461538462-33.8461538462-33Mo5.5769230769-0.8461538462-33.8461538462-33X MI16.630393996212.9924953096-12.9924953096samaX MI16.630393996212.9924953096-12.9924953096M akhir22.207317073212.1463414634-3-9.1463414634-33ton meterM akhir22.207317073212.1463414634-3-9.1463414634-33ton meterR =0OK3ton = V10ton = V23ton = V33ton = V10ton3ton-3-9.1463414634-33-30.4512195122-9.1463414634-330t/m =q103t/m= q200t/m = q30t/m303t/m00t/m0ton = H2B0C2EIDE0tonB0C2EIDE130.45121951223m8.548780487831R =130.45121951223m8.548780487831mm0m3.4512195122mOKNormal =2.760975609812.146341463412.1463414634000ton = V43.45121951220ton3.451219512233t/mLintang=t/m0ton = H14m-2.07073170730ton4mpanjang AC=5m4EI4EI22.2073170732panjang AC=22.2073170732-125m-123.4512195122A3.4512195122A3m3mLintang=Lintang=Normal=-4.439024390211.6707317073Normal=-4.439024390211.6707317073xxxDxMxN00000000000-300000.20.20.2-30.2-0.60.200.20.40.4-30.4-1.20.400.20.60.6-30.6-1.80.600.20.80.8-30.8-2.40.80DxxMxxNx111-31-3100000000011101-31011.67100-22.207004.43900010.45119.14634146341010.7110.50.5-16.61195121950.503.7190.50010.451219512219.1463414634109.75110.5-11.4965853659102.99910.30.31.3-0.44878048781.39.14670731711.308.7911.50.5-6.86121951221.502.2791.50.30.61.6-1.34878048781.68.87707317071.607.83120.5-2.7058536585201.55920.30.91.9-2.24878048781.98.33743902441.906.8712.50.50.96951219512.500.8392.50.31.22.2-3.14878048782.27.5278048782.206.8712.52.50.96951219512.52.50.8392.51.51.52.5-4.04878048782.56.44817073172.505.91130.54.1648780488300.11931.51.52.5-4.04878048782.56.44817073172.504.9513.50.56.88024390243.50-0.6013.501.52.5-4.04878048782.56.44817073172.503.99140.59.115609756140-1.321401.52.5-4.04878048782.56.44817073172.503.0314.50.510.87097560984.50-2.0414.50.31.82.8-4.94878048782.85.09853658542.802.0715512.146341463455-2.76150.32.13.1-5.84878048783.13.4789024393.100.000550.00055-2.76150.32.43.4-6.74878048783.41.58926829273.40055055050.32.73.7-7.64878048783.7-0.57036585373.701.534-8.54878048784-3401.534-8.54878048784-3400043404000434-3400.20.24.234.2-2.44.200.20.44.434.4-1.84.400.20.64.634.6-1.24.600.20.84.834.8-0.64.8011535050115350500150505001505050

Sheet1

meterBidang D balok B-C-D-E

Sheet2

meterbidang M balok B-C-D-E

Sheet3

meterbidang N balok B-C-D-E

harga D dalam tonmeterbidang D kolom miring A-C

harga M dalam ton-metermeterbidang M kolom miring A-C

harga N dalam TONmeterbidang N kolom miring A-C