Desy Krisna Cahya

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SOAL 1.6MARIO PAZ 1.6 PAGE 19RESPON SISTEM BERDERAJAT KEBEBASAN TUNGGAL TAK TEREDAM MENGGUNAKAN MICROSOFT EXCEL

Diketahui :L =120inciEI =1000000000lb.inciw =5000lbY =0.5inciV =15inci/detikg =386inci/detikWaktu (t)Gaya (F)Lendutan (y)Kecepatan ()Percepatan ()MomenKoefisienEILwVYgksin tcos tV/detiklbinciinci/detikinci/detiklbinci1/8lb.inciincilbinci/detikinciinci/detiklb/incirad/detik0.055555.55560.515-4288.8889833333.33330.12510000000001205000150.5386111111.11111111192.61630.000010.16195854398577.77777777780.10-51894.9030-0.4671-22.32254006.2865-778423.54510.12510000000001205000150.5386111111.11111111192.61630.1624-0.98672075580.16195854398577.77777777780.2046856.00030.421729.0521-3617.2832702840.00400.12510000000001205000150.5386111111.11111111192.6163-0.32050.94723569980.16195854398577.77777777780.30-40572.6730-0.3652-35.01013132.2104-608590.09490.12510000000001205000150.5386111111.11111111192.61630.4701-0.88259349530.16195854398577.77777777780.4033211.79690.298940.0383-2563.9507498176.95280.12510000000001205000150.5386111111.11111111192.6163-0.60720.79451094180.16195854398577.77777777780.50-24968.8656-0.2247-44.00311927.5964-374532.98380.12510000000001205000150.5386111111.11111111192.61630.7282-0.68532737860.16195854398577.77777777780.6016062.79900.144646.7993-1240.0481240941.98490.12510000000001205000150.5386111111.11111111192.6163-0.82990.55794255610.16195854398577.77777777780.70-6730.1287-0.0606-48.3526519.5659-100951.93100.12510000000001205000150.5386111111.11111111192.61630.9095-0.41573962260.16195854398577.77777777780.80-2781.2836-0.025048.6217214.7151-41719.25350.12510000000001205000150.5386111111.11111111192.6163-0.96490.26249527320.16195854398577.77777777780.9012218.82920.1100-47.5995-943.2936183282.43770.12510000000001205000150.5386111111.11111111192.61630.9948-0.10227944620.16195854398577.77777777781.00-21331.8612-0.192045.31311646.8197-319977.91740.12510000000001205000150.5386111111.11111111192.6163-0.9982-0.06065276840.16195854398577.77777777781.1029878.35120.2689-41.8233-2306.6087448175.26730.12510000000001205000150.5386111111.11111111192.61630.97510.22197413710.16195854398577.77777777781.20-37631.3173-0.338737.22272905.1377-564469.75950.12510000000001205000150.5386111111.11111111192.6163-0.9261-0.37740020830.16195854398577.77777777781.3044384.85250.3995-31.6335-3426.5106665772.78820.12510000000001205000150.5386111111.11111111192.61630.85250.52280310040.16195854398577.77777777781.40-49959.5932-0.449625.20423856.8806-749393.89790.12510000000001205000150.5386111111.11111111192.6163-0.7562-0.65432113230.16195854398577.77777777781.5054207.48260.4879-18.1055-4184.8177813112.23850.12510000000001205000150.5386111111.11111111192.61630.63990.76846138410.16195854398577.77777777781.60-57015.7031-0.513110.52594401.6123-855235.54700.12510000000001205000150.5386111111.11111111192.6163-0.5066-0.8621924630.16195854398577.77777777781.7058309.67280.5248-2.6668-4501.5067874645.09220.12510000000001205000150.5386111111.11111111192.61630.35980.93302501340.16195854398577.77777777781.80-58055.0257-0.5225-5.26314481.8480-870825.38580.12510000000001205000150.5386111111.11111111192.6163-0.2035-0.97907782980.16195854398577.77777777781.9056258.52490.506313.0533-4343.1581843877.87340.12510000000001205000150.5386111111.11111111192.61630.04180.99912781890.16195854398577.77777777782.00-52967.8827-0.4767-20.49674089.1205-794518.24030.12510000000001205000150.5386111111.11111111192.61630.1211-0.99264248340.16195854398577.77777777782.1048270.49360.434427.3958-3726.4821724057.40370.12510000000001205000150.5386111111.11111111192.6163-0.28070.95979406390.16195854398577.77777777782.20-42291.1131-0.3806-33.56743264.8739-634366.69690.12510000000001205000150.5386111111.11111111192.61630.4329-0.90145496490.16195854398577.77777777782.3035188.54460.316738.8474-2716.5556527828.16950.12510000000001205000150.5386111111.11111111192.6163-0.57350.81917458460.16195854398577.77777777782.40-27151.4216-0.2444-43.09572096.0897-407271.32370.12510000000001205000150.5386111111.11111111192.61630.6990-0.71513816560.16195854398577.77777777782.5018393.19780.165546.1994-1419.9549275897.96720.12510000000001205000150.5386111111.11111111192.6163-0.80590.59210875790.16195854398577.77777777782.60-9146.4785-0.0823-48.0762706.1081-137197.17770.12510000000001205000150.5386111111.11111111192.61630.8913-0.45335383650.16195854398577.77777777782.70-343.1574-0.003148.676126.4918-5147.36140.12510000000001205000150.5386111111.11111111192.6163-0.95310.30255852260.16195854398577.77777777782.809823.67960.0884-47.9833-758.3881147355.19440.12510000000001205000150.5386111111.11111111192.61630.9896-0.14372771160.16195854398577.77777777782.90-19043.2997-0.171446.01611470.1427-285649.49610.12510000000001205000150.5386111111.11111111192.6163-0.9998-0.01892029020.16195854398577.77777777783.0027757.15860.2498-42.8267-2142.8526416357.37910.12510000000001205000150.5386111111.11111111192.61630.98350.18106579770.16195854398577.7777777778

Lendutan (y) maksimum =0.5247870553incipada saat t = 1.70 detikKecepatan () =48.6760991336inci/detikpada saat t = 2.70 detikPercepatan () =4481.8479854838inci/detikpada saat t = 1.80 detikGaya maksimum =58309.6728129834lbpada saat t = 1.70 detikMomen maksimum =874645.092194752lbincipada saat t = 1.70 detik

CONTOH 2CONTOH 2 - TANPA REDAMAN

Diketahui :E =20000MPa20000000000Nm =200kgk =0.2EIu =2cmv =10cm/dtL =4mL =2.5mb =150mm0.15mh =200mm0.2mDitanya :1. Kekakuan gabungan struktur2. Frekuensi alami struktur3. Persamaan gerak struktur4. Persamaan paeralihan setiap saat5. Peralihan dan kecepatan6. Peralihan maksimum7. Gaya geser pada saat peralihan maksimum8. Momen pada kolom9. Tegangan maksimum pada kolomWaktuu(t)v(t)F(t)Momen pada KolomTegangan Kolom (t)Ikfcostsintdetikcmcm/dtNKolom Kiri (Nm)Kolom Kanan (Nm) Kiri (N/mm) Kanan (N/mm)mN/mrad/dtHz0.02102318015000192001519.20.0001115900076.124912.1157100.11.9998-10.257023177.396414998.315219197.843514.998319.19780.0001115900076.124912.11570.99120.13250.21.9643-30.333322766.253614732.260718857.293714.732318.85730.0001115900076.124912.11570.96490.26260.31.8942-49.874821953.818414206.526218184.353514.206518.18440.0001115900076.124912.11570.92160.38810.41.7907-68.537320754.411513430.378517190.884413.430417.19090.0001115900076.124912.11570.86210.50680.51.6557-85.991619189.174312417.498515894.398112.417515.89440.0001115900076.124912.11570.78730.61650.61.4914-101.930317285.696711185.739914317.747111.185714.31770.0001115900076.124912.11570.69870.71540.71.3009-116.072215077.53069756.814512488.72259.756812.48870.0001115900076.124912.11570.59780.80160.81.0875-128.168212603.59858155.909310439.56398.155910.43960.0001115900076.124912.11570.48630.87380.90.8548-138.00509907.50746411.24298206.39106.41128.20640.0001115900076.124912.11570.36630.930510.6071-145.40927036.78044553.56805828.56714.55365.82860.0001115900076.124912.11570.23980.97081.10.3488-150.25044042.01872615.62903348.00522.61563.34800.0001115900076.124912.11570.10910.99401.20.0842-152.4431976.0099631.5853808.42920.63160.80840.0001115900076.124912.1157-0.02360.99971.3-0.1818-151.9488-2107.2027-1363.5911-1745.3966-1.3636-1.74540.0001115900076.124912.1157-0.15580.98781.4-0.4446-148.7762-5153.2725-3334.7320-4268.4569-3.3347-4.26850.0001115900076.124912.1157-0.28530.95841.5-0.6996-142.9811-8108.5074-5247.0928-6716.2788-5.2471-6.71630.0001115900076.124912.1157-0.40970.91221.6-0.9423-134.6658-10920.8167-7066.9651-9045.7153-7.0670-9.04570.0001115900076.124912.1157-0.52700.84991.7-1.1683-123.9767-13540.6288-8762.2706-11215.7064-8.7623-11.21570.0001115900076.124912.1157-0.63490.77261.8-1.3738-111.1024-15921.7654-10303.1268-13188.0024-10.3031-13.18800.0001115900076.124912.1157-0.73160.68171.9-1.5550-96.2697-18022.2549-11662.3737-14927.8384-11.6624-14.92780.0001115900076.124912.1157-0.81550.57882-1.7088-79.7401-19805.0728-12816.0523-16404.5469-12.8161-16.40450.0001115900076.124912.1157-0.88500.46562.1-1.8325-61.8049-21238.7941-13743.8271-17592.0987-13.7438-17.59210.0001115900076.124912.1157-0.93890.34432.2-1.9239-42.7803-22298.1471-14429.3445-18469.5610-14.4293-18.46960.0001115900076.124912.1157-0.97620.21692.3-1.9814-23.0017-22964.4590-14860.5214-19021.4673-14.8605-19.02150.0001115900076.124912.1157-0.99630.08562.4-2.0040-2.8176-23225.9849-15029.7573-19238.0893-15.0298-19.23810.0001115900076.124912.1157-0.9989-0.04712.5-1.991217.4161-23078.1151-14934.0693-19115.6087-14.9341-19.11560.0001115900076.124912.1157-0.9838-0.17902.6-1.943437.3429-22523.4559-14575.1440-18656.1844-14.5751-18.65620.0001115900076.124912.1157-0.9515-0.30782.7-1.861256.6114-21571.7842-13959.3082-17867.9144-13.9593-17.86790.0001115900076.124912.1157-0.9023-0.43112.8-1.746374.8821-20239.8747-13097.4168-16764.6935-13.0974-16.76470.0001115900076.124912.1157-0.8372-0.54682.9-1.600691.8328-18551.2045-12004.6621-15365.9675-12.0047-15.36600.0001115900076.124912.1157-0.7574-0.65293-1.4267107.1649-16535.5391-10700.3057-13696.3913-10.7003-13.69640.0001115900076.124912.1157-0.6643-0.7475

KeteranganPerhitungan ManualPerhitungan ExcelSatuan

Peralihan Maksimum2.00432cmKecepatan Maksimum107.1649cm/dtGaya Maksimum2323023180NMomen Kolom Kiri Maksimum15032.320658029915000NmMomen Kolom Kanan Maksimum19241.370442278319200NmTegangan Kolom Kiri Maksimum15.03232065815.00N/mmTegangan Kolom Kanan Maksimum19.241370442319.20N/mm

CONTOH 3CONTOH 3 - DENGAN REDAMAN

Diketahui :E =20000MPa20000000000Nm =200kgk =0.2EIy =2cmv =10cm/dt =0.05L =4mL =2.5mb =150mm0.15mh =200mm0.2mDitanya :1. Kekakuan gabungan struktur2. Frekuensi alami struktur3. Persamaan gerak struktur4. Persamaan paeralihan setiap saat5. Peralihan dan kecepatan6. Peralihan maksimum7. Gaya geser pada saat peralihan maksimum8. Momen guling pada saat peralihan maksimum9. Tegangan maksimum pada kolomWaktuy(t)(t)(t)F(t)Momen pada KolomTegangan Kolom (t)IkDCtg detikcmcm/dtcm/dtNKolom Kiri (Nm)Kolom Kanan (Nm) Kiri (N/mm) Kanan (N