PERBANDINGAN DIAGRAM INTERAKSI BENTUK PENAMPANG TIDAK BERATURAN ANTARA PCA-COL vs EXCEL-COL
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Transcript of PERBANDINGAN DIAGRAM INTERAKSI BENTUK PENAMPANG TIDAK BERATURAN ANTARA PCA-COL vs EXCEL-COL
STUDIES AND RESEARCHES – V 02, 2011
Seri Teknik Sipil
Konstruksi Beton Bertulang
DIAGRAM INTERAKSI KOLOM
BETON BERTULANG PENAMPANG TIDAK BERATURAN (Perbandingan Hitungan Manual Antara EXCEL-COL dengan PCACOL)
Yudi Susetyo
Ds. Meles RT 01 RW 04 No. 16 Kecamatan Adimulyo
Kabupaten Kebumen 54363 Jawa Tengah
e-mail/facebook: [email protected]
ABSTRAK
Tulisan ini bertujuan untuk membandingkan hasil perhitungan manual diagram interaksi kolom beton bertulang
dengan bentuk tidak beraturan yang hasilnya dibandingkan dengan output program computer PCACOL dari
Portland Cement Associations (PCA) Amerika Serikat. Karena iterasi membutuhkan banyak perhitungan manual
apalagi jika yang harus dihitungan adalah diagram interaksi dinding geser (shear-wall) yang terdiri atas ratusan
jumlah tulangan, maka dibuatlah program computer EXCEL-COL dengan output yang ditampilkan adalah
perhitungan manual. Namun dalam tulisan ini tidak semua output ditampilkan. Dan hasil output inilah yang
dibandingkan dengan output PCACOL.
PENDAHULUAN
EXCEL-COL adalah program computer yang di compile dengan versi basic/vbasic yang dalam rutine
perhitunganya menampilkan output layaknya perhitungan manual yang bisa run sendiri dengan output grafik dan
file text maupun output bisa ditampilkan dengan Microsoft Excel baik grafik dan text. Hasil dari outputnya
diperbandingkan dengan output PCACOL yang dalam hal ini sebagai program computer standart dari PCA,
sehingga program EXCEL-COL memenuhi kelayakan jika hasil output manualnya tidak berbeda jauh dengan
PCACOL. Selanjutnya akan dibandingkan hasil output perhitungan beberapa contoh kasus bentuk geometri
penampang kolom/shear-wall dengan bentuk penampng tidak beraturan.
METODOLOGI
Ada beberapa hal yang harus disamakan persepsi terlebih dahulu sebelum membandingkan hasil output antara
PCACOL dengan EXCEL-COL, antara lain:
1. Tinjauan Arah Moment
Prinsip tinjauan arah moment adalah hal yang sangat penting mengingat alat pembanding yang akan
digunakan adalah sebuah program computer, dimana PCACOL meninjau arah moment sebagai sisi desak
blok beton/tulangan adalah di sisi bawah sedangkan sisi atas sebagai sisi blok beton/tulangan tarik. Dalam
hal ini iterasi tinggi sumbu netral C akan dimulai dari sisi atas bertahap dan berurutan akhirnya sampai di
tinggi sumbu netral C=0 yaitu di sisi koordinat garis y ekstrem sisi terbawah.
Gambar 1. Prinsip Perhitungan Kapasitas Mx PCACOL Sisi desak di muka bawah dan sisi tarik di muka
atas
Gambar 2. Prinsip Perhitungan Kapasitas Mx EXCEL-COL Sisi desak di muka atas dan sisi tarik di muka
bawah
Namun sebaliknya program EXCEL-COL justru meninjau tinggi sumbu netral dimulai dari bawah
menuju ke koordinat ekstrem sisi teratas, sehingga untuk membandingkan hasilnya maka gambar
penampang harus dibalik atau diputar 180 derajat di titik beratnya dibanding gambar PCACOL.
Sedangkan untuk membandingkan output rotasi 45 derajat di PCACOL sama dengan diputar minus 135
derajat dititik beratnya dibanding gambar di EXCEL-COL.
2. Unit Satuan
Unit Satuan dalam PCACOL adalah kNm sedangkan di EXCEL-COL adalah Kgcm, sehingga konversi
dari moment KNm ke Kgcm dikalikan dengan angka 10000, sedangkan konversi dari Gaya aksial kN ke
Kg dikalikan dengan angka 100.
3. Titik Berat Penampang
Titik berat penampang kolom didasarkan atas bentuk penampang atau geometri penampang beton tanpa
memperhitungkan letak dan posisi tulangan.
4. Renggangan Serat Beton Terluar
Renggangan serat beton sisi desak terluar menggunakan nilai εu=0,003, dengan profile block beton
persegi senilai 0,85 f’c
5. Membandingkan Output
Output dari øPn & øMn EXCEL-COL dan Output øPn & øMn dari PCACOL yang berupa tabel angka
diagram interaksi dibuatkan grafik menjadi satu ploting sehingga nampak kesamaan dan perbedaanya.
Selanjutnya dihalaman berikut akan ditampilkan beberapa contoh hitungan perbandingan antara PCACOL
dan EXCEL-COL :
EXCEL-COL
f'ile = col-11 Rotasi = 180 derajat
f'c = 350 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.7962 Ag = 25937.5 cm2
As-tot = 1295 cm2 η = 4.99 % øMnb = 450341152.00 kg cm øPnb = 1863521.13 Kg Cb = 142.50 cm
DATA GEOMETRY BETON BLOK BETON 1 EXTERIOR
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\
No. X Y X Y X Y 1 -125.00 125.00 -125.00 114.56 125.00 -114.56 2 -125.00 75.00 -125.00 64.56 125.00 -64.56 3 -75.00 75.00 -75.00 64.56 75.00 -64.56 4 -75.00 -125.00 -75.00 -135.44 75.00 135.44 5 75.00 -125.00 75.00 -135.44 -75.00 135.44 6 75.00 75.00 75.00 64.56 -75.00 -64.56 7 125.00 75.00 125.00 64.56 -125.00 -64.56 8 125.00 125.00 125.00 114.56 -125.00 -114.56 DATA GEOMETRY BETON
BLOK BETON 2 INTERIOR
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\
No. X Y X Y X Y 1 -50.00 62.50 -50.00 52.06 50.00 -52.06 2 -50.00 -62.50 -50.00 -72.94 50.00 72.94 3 -25.00 -75.00 -25.00 -85.44 25.00 85.44 4 25.00 -75.00 25.00 -85.44 -25.00 85.44 5 50.00 -62.50 50.00 -72.94 -50.00 72.94 6 50.00 62.50 50.00 52.06 -50.00 -52.06 DATA GEOMETRY BETON
BLOK BETON 3 INTERIOR
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\
No. X Y X Y X Y 1 -25.00 125.00 -25.00 114.56 25.00 -114.56 2 -25.00 62.50 -25.00 52.06 25.00 -52.06 3 25.00 62.50 25.00 52.06 -25.00 -52.06 4 25.00 125.00 25.00 114.56 -25.00 -114.56 DATA GEOMETRY TULANGAN
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\ No. X Y X Y X Y As
1 -100.00 100.00 -100.00 89.56 100.00 -89.56 35 2 -75.00 100.00 -75.00 89.56 75.00 -89.56 35 3 -50.00 100.00 -50.00 89.56 50.00 -89.56 35 4 -50.00 75.00 -50.00 64.56 50.00 -64.56 35 5 -50.00 -75.00 -50.00 -85.44 50.00 85.44 35 6 -50.00 -100.00 -50.00 -110.44 50.00 110.44 35 7 -25.00 -100.00 -25.00 -110.44 25.00 110.44 35 8 0.00 -100.00 0.00 -110.44 0.00 110.44 35 9 25.00 -100.00 25.00 -110.44 -25.00 110.44 35
10 50.00 -100.00 50.00 -110.44 -50.00 110.44 35 11 50.00 -75.00 50.00 -85.44 -50.00 85.44 35 12 50.00 75.00 50.00 64.56 -50.00 -64.56 35 13 50.00 100.00 50.00 89.56 -50.00 -89.56 35 14 75.00 100.00 75.00 89.56 -75.00 -89.56 35 15 100.00 100.00 100.00 89.56 -100.00 -89.56 35 16 -100.00 112.50 -100.00 102.06 100.00 -102.06 35 17 -100.00 87.50 -100.00 77.06 100.00 -77.06 35 18 -75.00 112.50 -75.00 102.06 75.00 -102.06 35 19 -75.00 87.50 -75.00 77.06 75.00 -77.06 35 20 -50.00 112.50 -50.00 102.06 50.00 -102.06 35 21 -50.00 87.50 -50.00 77.06 50.00 -77.06 35 22 50.00 112.50 50.00 102.06 -50.00 -102.06 35 23 50.00 87.50 50.00 77.06 -50.00 -77.06 35 24 75.00 112.50 75.00 102.06 -75.00 -102.06 35 25 75.00 87.50 75.00 77.06 -75.00 -77.06 35 26 100.00 112.50 100.00 102.06 -100.00 -102.06 35 27 100.00 87.50 100.00 77.06 -100.00 -77.06 35 28 -50.00 -112.50 -50.00 -122.94 50.00 122.94 35 29 -25.00 -112.50 -25.00 -122.94 25.00 122.94 35 30 0.00 -112.50 0.00 -122.94 0.00 122.94 35 31 25.00 -112.50 25.00 -122.94 -25.00 122.94 35 32 50.00 -112.50 50.00 -122.94 -50.00 122.94 35 33 50.00 -87.50 50.00 -97.94 -50.00 97.94 35 34 25.00 -87.50 25.00 -97.94 -25.00 97.94 35 35 0.00 -87.50 0.00 -97.94 0.00 97.94 35 36 -25.00 -87.50 -25.00 -97.94 25.00 97.94 35 37 -50.00 -87.50 -50.00 -97.94 50.00 97.94 35
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
8000000.0
10000000.0
-100000000.0 0.0 100000000.0 200000000.0 300000000.0 400000000.0 500000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-150
-100
-50
0
50
100
150
-150 -100 -50 0 50 100 150
ANALISIS DIAGRAM INTERAKSI KOLOM : col-11
f'c Fy εu Es øc øb β1 Ag As-tot η 350 4000 0.003 2000000 0.6 0.8 0.7962 25937.5 1295 4.99%
No. C Ac-
beton Yc-
beton Cc-beton Mc-beton ∑Cs-tul ∑Ms-tul Pn Mn ø øPn øMn
Blc 142.5 10985.4 93.2 3268143.8 304680512.0 -162275.4 445888032.0 3105868.5 750568576.0 0.600 1863521.1 450341152.0 1 750.0 25937.5 0.0 7716408.5 120.9 4794737.5 11189264.0 12511146.0 11189385.0 0.600 7506688.0 6713631.5 2 500.0 25937.5 0.0 7716408.5 120.9 4325737.5 53279580.0 12042146.0 53279700.0 0.600 7225288.0 31967822.0 3 465.0 25937.5 0.0 7716408.5 120.9 4185060.5 65621544.0 11901469.0 65621664.0 0.600 7140881.5 39373000.0 4 430.0 25937.5 0.0 7716408.5 120.9 4021482.5 79972672.0 11737891.0 79972792.0 0.600 7042735.0 47983676.0 5 395.0 25937.5 0.0 7716408.5 120.9 3828915.3 96867016.0 11545324.0 96867136.0 0.600 6927194.5 58120284.0 6 360.0 25937.5 0.0 7716408.5 120.9 3598904.3 117046400.0 11315313.0 117046520.0 0.600 6789188.0 70227912.0 7 325.0 25937.5 0.0 7716408.5 120.9 3319353.3 141572096.0 11035762.0 141572224.0 0.600 6621457.5 84943336.0 8 290.0 22116.5 18.1 6579668.5 119364360.0 2972324.3 172017792.0 9551993.0 291382144.0 0.600 5731196.0 174829296.0 9 255.0 16543.2 51.7 4921602.5 254529984.0 2530031.5 210821136.0 7451634.0 465351104.0 0.600 4470980.5 279210688.0
10 220.0 14070.6 70.8 4186001.3 296541280.0 2071961.0 249999728.0 6257962.0 546540992.0 0.600 3754777.3 327924608.0 11 185.0 12677.3 81.5 3771485.3 307230336.0 1351637.0 314344896.0 5123122.0 621575232.0 0.600 3073873.3 372945152.0 12 150.0 11283.9 91.3 3356968.8 306368128.0 172989.0 417750560.0 3529957.8 724118656.0 0.600 2117974.8 434471200.0 13 150.0 11283.9 91.3 3356968.5 306368160.0 172987.6 417750592.0 3529956.0 724118784.0 0.600 2117973.8 434471296.0 14 148.2 11213.7 91.7 3336069.3 306018848.0 97155.0 424115008.0 3433224.3 730133888.0 0.600 2059934.6 438080352.0 15 146.5 11143.4 92.2 3315169.3 305640096.0 19494.3 430632768.0 3334663.5 736272896.0 0.600 2000798.1 441763744.0 16 144.7 11073.2 92.7 3294269.3 305231968.0 -60060.1 437309472.0 3234209.0 742541440.0 0.600 1940525.5 445524896.0 17 142.9 11002.9 93.1 3273369.5 304794496.0 -141578.5 444151008.0 3131791.0 748945536.0 0.600 1879074.6 449367328.0 18 141.2 10932.7 93.6 3252469.5 304327712.0 -205449.0 449154464.0 3047020.5 753482176.0 0.600 1828212.4 452089312.0 19 139.4 10862.4 94.0 3231569.8 303831520.0 -264289.6 453606240.0 2967280.0 757437760.0 0.600 1780368.1 454462688.0 20 137.7 10792.2 94.5 3210669.0 303305920.0 -324639.3 458172160.0 2886029.8 761478080.0 0.600 1731617.9 456886880.0 21 135.9 10721.9 94.9 3189769.5 302751040.0 -386556.1 462856736.0 2803213.5 765607808.0 0.600 1681928.1 459364704.0 22 134.1 10651.7 95.4 3168869.5 302166816.0 -436287.5 466427328.0 2732582.0 768594176.0 0.600 1639549.3 461156512.0 23 132.4 10581.4 95.8 3147969.3 301553152.0 -473344.5 468839232.0 2674624.8 770392384.0 0.600 1604774.9 462235456.0 24 130.6 10511.2 96.2 3127069.5 300910112.0 -511402.8 471316288.0 2615666.8 772226432.0 0.600 1569400.1 463335872.0 25 128.8 10440.9 96.7 3106170.0 300237760.0 -550503.9 473861216.0 2555666.0 774098944.0 0.600 1533399.6 464459392.0 26 127.1 10370.7 97.1 3085270.0 299536000.0 -583401.0 475915104.0 2501869.0 775451136.0 0.600 1501121.5 465270688.0 27 125.3 10300.4 97.5 3064369.5 298804928.0 -595040.1 476317344.0 2469329.5 775122304.0 0.600 1481597.8 465073408.0 28 123.5 10230.2 97.9 3043470.0 298044384.0 -607012.0 476731072.0 2436458.0 774775424.0 0.600 1461874.9 464865280.0 29 121.8 10159.9 98.3 3022569.5 297254592.0 -619330.8 477156768.0 2403238.8 774411392.0 0.600 1441943.3 464646848.0 30 120.0 10089.6 98.8 3001669.8 296435392.0 -632012.0 477595008.0 2369657.8 774030400.0 0.600 1421794.8 464418272.0 31 118.2 10019.4 99.2 2980769.8 295586816.0 -634624.4 477371872.0 2346145.5 772958720.0 0.600 1407687.4 463775264.0 32 116.5 9949.1 99.6 2959869.8 294708864.0 -637315.5 477141952.0 2322554.3 771850816.0 0.600 1393532.6 463110496.0 33 114.7 9878.9 100.0 2938970.0 293801600.0 -640089.4 476904960.0 2298880.5 770706560.0 0.600 1379328.4 462423968.0 34 112.9 9808.6 100.4 2918070.0 292864896.0 -642950.0 476660544.0 2275120.0 769525440.0 0.600 1365072.0 461715296.0 35 111.2 9738.4 100.8 2897170.0 291898848.0 -650068.1 476000192.0 2247102.0 767899008.0 0.600 1348261.3 460739424.0 36 109.4 9668.1 101.1 2876269.8 290903456.0 -658827.1 475180480.0 2217442.5 766083968.0 0.600 1330465.5 459650400.0 37 107.7 9597.9 101.5 2855369.5 289878688.0 -667873.2 474333760.0 2187496.3 764212480.0 0.600 1312497.8 458527520.0 38 105.9 9527.6 101.9 2834469.3 288824544.0 -677220.8 473458880.0 2157248.5 762283392.0 0.600 1294349.1 457370048.0 39 104.1 9457.4 102.3 2813570.0 287741120.0 -686885.4 472554368.0 2126684.5 760295488.0 0.600 1276010.8 456177312.0 40 102.4 9387.1 102.6 2792669.8 286628192.0 -696883.1 471618656.0 2095786.8 758246848.0 0.600 1257472.1 454948128.0 41 100.6 9316.9 103.0 2771769.8 285486016.0 -707231.8 470650080.0 2064538.0 756136064.0 0.600 1238722.9 453681664.0 42 98.8 9246.6 103.4 2750870.0 284314400.0 -717950.0 469646912.0 2032920.0 753961344.0 0.600 1219752.0 452376832.0 43 97.1 9176.4 103.7 2729969.5 283113504.0 -729057.9 468607264.0 2000911.5 751720768.0 0.600 1200547.0 451032480.0 44 95.3 9106.1 104.1 2709069.8 281883104.0 -740577.3 467529088.0 1968492.5 749412224.0 0.600 1181095.5 449647360.0 45 93.5 9035.9 104.4 2688170.0 280623424.0 -752531.3 466410304.0 1935638.8 747033728.0 0.600 1161383.3 448220256.0 46 91.8 8965.6 104.7 2667269.8 279334400.0 -764945.3 465248416.0 1902324.5 744582784.0 0.600 1141394.8 446749696.0 47 90.0 8895.4 105.1 2646370.0 278016000.0 -777845.8 464041024.0 1868524.3 742057024.0 0.600 1121114.6 445234240.0 48 88.2 8825.1 105.4 2625469.8 276668224.0 -791262.5 462785344.0 1834207.3 739453568.0 0.600 1100524.4 443672160.0 49 86.5 8754.9 105.7 2604569.8 275291040.0 -805226.9 461478336.0 1799342.9 736769408.0 0.600 1079605.8 442061664.0 50 84.7 8684.6 106.0 2583669.5 273884544.0 -819772.9 460116928.0 1763896.6 734001472.0 0.600 1058338.0 440400896.0 51 82.9 8614.4 106.3 2562769.5 272448640.0 -834938.1 458697600.0 1727831.4 731146240.0 0.600 1036698.9 438687776.0 52 81.2 8544.1 106.6 2541869.8 270983392.0 -850762.4 457216416.0 1691107.3 728199808.0 0.600 1014664.4 436919904.0 53 79.4 8473.8 106.9 2520969.8 269488832.0 -867290.3 455669568.0 1653679.5 725158400.0 0.600 992207.8 435095072.0 54 77.7 8402.7 107.2 2499796.0 267944736.0 -884569.4 454052352.0 1615226.6 721997056.0 0.600 969136.0 433198240.0 55 75.9 8324.7 107.5 2476587.5 266219536.0 -902652.3 452359936.0 1573935.3 718579456.0 0.600 944361.2 431147680.0 56 74.1 8238.8 107.8 2451029.8 264283824.0 -925762.8 450126656.0 1525267.0 714410496.0 0.600 915160.3 428646304.0 57 72.4 8145.0 108.2 2423123.0 262131040.0 -954268.9 447313152.0 1468854.1 709444224.0 0.606 889888.1 429808480.0 58 70.6 8043.2 108.6 2392866.3 259754496.0 -984200.3 444358880.0 1408666.0 704113408.0 0.614 864631.2 432180800.0 59 68.8 7933.7 108.9 2360261.0 257147696.0 -1015666.8 441253216.0 1344594.3 698400896.0 0.622 836692.1 434589504.0 60 67.1 7816.2 109.4 2325306.5 254303936.0 -1048789.1 437984064.0 1276517.4 692288000.0 0.631 805817.5 437015456.0 61 65.3 7690.8 109.8 2288002.3 251216608.0 -1083702.1 434538176.0 1204300.1 685754752.0 0.641 771725.9 439437536.0 62 63.5 7557.5 110.2 2248349.0 247879232.0 -1120554.8 430900896.0 1127794.3 678780160.0 0.651 734105.6 441832672.0 63 61.8 7376.5 110.9 2194499.8 243268064.0 -1159513.0 427055712.0 1034986.8 670323776.0 0.663 686392.3 444551616.0 64 60.0 7165.7 111.6 2131800.0 237815232.0 -1200762.8 422984320.0 931037.3 660799552.0 0.677 630247.1 447315072.0 65 58.2 6955.0 112.3 2069100.0 232274224.0 -1244513.0 418666240.0 824587.0 650940480.0 0.691 569790.7 449800704.0 66 56.5 6744.2 113.0 2006399.8 226645136.0 -1290997.1 414078240.0 715402.6 640723392.0 0.705 504669.3 451988000.0 67 54.7 6533.4 113.7 1943699.8 220927968.0 -1340480.6 409194272.0 603219.1 630122240.0 0.720 434476.4 453853728.0 68 52.9 6322.7 114.4 1880999.9 215122704.0 -1393262.8 403984672.0 487737.1 619107392.0 0.736 358744.3 455370848.0 69 51.2 6111.9 115.1 1818299.5 209229344.0 -1449685.4 398415840.0 368614.1 607645184.0 0.751 276930.4 456508320.0 70 49.4 5901.2 115.8 1755599.5 203247872.0 -1489313.3 394228512.0 266286.3 597476352.0 0.765 203655.9 456950336.0 71 47.7 5690.4 116.5 1692899.5 197178256.0 -1554243.9 387819904.0 138655.6 584998144.0 0.782 108383.2 457276480.0 72 45.9 5479.7 117.2 1630199.5 191020656.0 -1624168.9 380918400.0 6030.6 571939072.0 0.799 4819.7 457095328.0 73 44.1 5268.9 117.9 1567499.5 184774912.0 -1699688.3 373464640.0 -132188.8 558239552.0 0.800 -105751.0 446591648.0 74 42.4 5058.1 118.6 1504799.5 178441072.0 -1781500.8 365389760.0 -276701.3 543830848.0 0.800 -221361.0 435064672.0 75 40.6 4847.4 119.3 1442099.3 172019072.0 -1870427.5 356612800.0 -428328.3 528631872.0 0.800 -342662.6 422905504.0 76 38.8 4636.6 120.0 1379399.6 165509072.0 -1967438.3 347037888.0 -588038.6 512546944.0 0.800 -470430.9 410037568.0 77 37.1 4425.9 120.7 1316699.3 158910928.0 -2025793.4 341137856.0 -709094.1 500048768.0 0.800 -567275.3 400039008.0 78 35.3 4215.1 121.4 1253999.5 152224656.0 -2160377.0 327425248.0 -906377.5 479649920.0 0.800 -725102.0 383719936.0 79 33.5 4004.4 122.1 1191299.3 145450336.0 -2309127.5 312269152.0 -1117828.3 457719488.0 0.800 -894262.6 366175584.0 80 31.8 3793.6 122.8 1128599.1 138587936.0 -2474404.5 295429216.0 -1345805.4 434017152.0 0.800 -1076644.4 347213728.0 81 30.0 3582.9 123.5 1065899.5 131637424.0 -2659127.0 276608000.0 -1593227.5 408245440.0 0.800 -1274582.0 326596352.0 82 28.2 3372.1 124.2 1003199.3 124598840.0 -2823189.5 259172336.0 -1819990.3 383771168.0 0.800 -1455992.3 307016928.0 83 26.5 3161.3 124.9 940499.2 117472096.0 -3009127.3 239411696.0 -2068628.0 356883776.0 0.800 -1654902.4 285507040.0 84 24.7 2950.6 125.6 877799.6 110257312.0 -3169564.0 222578240.0 -2291764.5 332835552.0 0.800 -1833411.6 266268448.0 85 22.9 2739.8 126.3 815099.2 102954384.0 -3414756.8 196520352.0 -2599657.5 299474752.0 0.800 -2079726.0 239579808.0 86 21.2 2529.1 127.0 752399.9 95563432.0 -3591439.5 176831920.0 -2839039.5 272395360.0 0.800 -2271231.8 217916288.0 87 19.4 2318.3 127.7 689699.4 88084288.0 -3760474.0 157459168.0 -3070774.5 245543456.0 0.800 -2456619.8 196434768.0 88 17.7 2107.6 128.4 626999.6 80517112.0 -3963314.3 134211960.0 -3336314.8 214729072.0 0.800 -2669051.8 171783264.0 89 15.9 1896.8 129.1 564299.7 72861840.0 -4211231.0 105798568.0 -3646931.3 178660416.0 0.800 -2917545.0 142928336.0 90 14.1 1686.0 129.8 501599.3 65118436.0 -4411752.0 82361424.0 -3910152.8 147479856.0 0.800 -3128122.3 117983888.0 91 12.4 1475.3 130.5 438899.7 57286972.0 -4492501.5 72433944.0 -4053601.8 129720912.0 0.800 -3242881.5 103776728.0 92 10.6 1264.5 131.2 376199.5 49367392.0 -4669585.0 50662952.0 -4293385.5 100030344.0 0.800 -3434708.5 80024280.0 93 8.8 1053.8 131.9 313499.1 41359712.0 -4917500.5 20183750.0 -4604001.5 61543464.0 0.800 -3683201.3 49234772.0 94 7.1 843.0 132.6 250799.8 33264014.0 -5180000.0 -12088362.0 -4929200.0 21175652.0 0.800 -3943360.0 16940522.0 95 5.3 632.3 133.3 188099.9 25080106.0 -5180000.0 -12088362.0 -4991900.0 12991744.0 0.800 -3993520.0 10393395.0 96 3.5 421.5 134.0 125399.7 16808174.0 -5180000.0 -12088362.0 -5054600.5 4719812.0 0.800 -4043680.5 3775849.8 97 1.8 210.8 134.7 62699.6 8448089.0 -5180000.0 -12088362.0 -5117300.5 -3640273.0 0.800 -4093840.5 -2912218.5 98 0.0 0.0 160.0 0.3 46.5 -5180000.0 -12088362.0 -5179999.5 -12088316.0 0.800 -4143999.8 -9670653.0
Kutipan Output PCA-COL, file.out
General Information:
====================
File Name: C:\PROGRA~1\PCACOL\DATA\COL-11.COL
Project: Code: ACI 318-89
Column: Units: SI Metric
Engineer: Yudi Susetyo Date:
Run Option: Investigation Short (nonslender) column
Run Axis: X-axis Column Type: Structural
Material Properties:
====================
f'c = 35 MPa fy = 400 MPa
Ec = 29910.2 MPa Es = 200000 MPa
fc = 29.75 MPa erup = 0 mm/mm
eu = 0.003 mm/mm
Stress Profile: Block Beta1 = 0.796192
Geometry:
=========
Exterior Points
Point X-Loc Y-Loc Point X-Loc Y-Loc Point X-Loc Y-Loc
No. (mm) (mm) No. (mm) (mm) No. (mm) (mm)
-------------------------------------------------------------------
1 -1250 1250 2 -1250 750 3 -750 750
4 -750 -1250 5 750 -1250 6 750 750
7 1250 750 8 1250 1250
Interior Points
Point X-Loc Y-Loc Point X-Loc Y-Loc Point X-Loc Y-Loc
No. (mm) (mm) No. (mm) (mm) No. (mm) (mm)
-------------------------------------------------------------------
1 -250 1250 2 -250 625 3 -500 625
4 -500 -625 5 -250 -750 6 250 -750
7 500 -625 8 500 625 9 250 625
10 250 1250
Gross section area, Ag = 2.59375e+006 mm^2
Ix = 1.94413e+012 mm^4 Xo = -1.31084e-005 mm
Iy = 1.09798e+012 mm^4 Yo = 104.418 mm
Reinforcement:
==============
Rebar Database: ASTM
Size Diam Area Size Diam Area Size Diam Area
-------------------------------------------------------------------
10 11 100 15 16 200 20 20 300
25 25 500 30 30 700 35 36 1000
45 44 1500 55 56 2500
Confinement: User-defined; phi(c) = 0.6, phi(b) = 0.8, a = 1
N-10 ties with N-55 bars, N-10 with larger bars.
Pattern: Irregular
Total steel area, As = 129500 mm^2 at 4.99%
Area X-Loc Y-Loc Area X-Loc Y-Loc Area X-Loc Y-Loc
(mm^2) (mm) (mm) (mm^2) (mm) (mm) (mm^2) (mm) (mm)
------------------------------------------------------------------
3500 -750 1000 3500 -500 1000 3500 -500 750
3500 -500 -750 3500 -500 -1000 3500 -250 -1000
3500 0 -1000 3500 250 -1000 3500 500 -1000
3500 500 -750 3500 500 750 3500 500 1000
3500 750 1000 3500 -1000 875 3500 -750 1125
3500 -750 875 3500 -500 1125 3500 -500 875
3500 500 1125 3500 500 875 3500 750 1125
3500 750 875 3500 1000 1125 3500 1000 875
3500 -500 -1125 3500 -250 -1125 3500 0 -1125
3500 250 -1125 3500 500 -1125 3500 500 -875
3500 250 -875 3500 0 -875 3500 -250 -875
3500 -500 -875 3500 -1000 1000 3500 -1000 1125
3500 1000 1000
Bending Load, P X-Mom. Y-Mom. N.A. depth
about (kN) (kN-m) (kN-m) (mm)
------------------------------------------------------------------
X Pure Comp. 75067 671 0 7125.00
Balanced 18635 45034 -0 1425.00
Pure Bend. 0 45707 -0 458.04
Kutipan Output file.txt
Point Load Moment NA depth
1 75066.87 671.36 7125.00
2 71313.52 3866.62 4681.27
3 67560.18 7169.46 3561.77
4 63806.84 11005.05 3086.47
5 60053.50 14887.67 2977.00
6 56300.15 18420.85 2871.32
7 52546.81 21741.90 2765.84
8 48793.46 24833.37 2661.39
9 45040.12 27642.33 2560.37
10 41286.78 30366.99 2426.08
11 37533.43 32770.63 2201.68
12 33780.09 35299.24 1986.53
13 30026.75 37752.36 1820.20
14 26273.40 40142.94 1674.45
15 22520.06 42561.28 1543.79
16 18766.72 44935.14 1429.48
17 15013.37 46524.89 1268.58
18 11260.03 44574.08 905.84
19 7506.69 44074.38 643.35
20 3753.34 45507.60 533.20
21 0.00 45707.46 458.04
22 -8288.00 37297.66 341.98
23 -16576.00 28529.89 264.54
24 -24864.00 19307.29 191.56
25 -33152.00 9507.14 116.59
26 -41440.00 -967.07 0.00
Point Load Moment NA depth Load Moment
kN kNm mm Kg Kgcm
1 75066.87 474.72 8750.45 7506687.00 4747200.00 2 71313.52 4309.02 4436.47 7131352.00 43090200.00 3 67560.18 8179.15 3659.32 6756018.00 81791500.00 4 63806.84 12474.12 3386.76 6380684.00 124741200.00 5 60053.50 16145.85 3139.04 6005350.00 161458500.00 6 56300.15 19190.28 2906.01 5630015.00 191902800.00 7 52546.81 21607.45 2682.55 5254681.00 216074500.00 8 48793.46 23687.16 2448.53 4879346.00 236871600.00 9 45040.12 25415.87 2281.81 4504012.00 254158700.00
10 41286.78 26963.77 2145.34 4128678.00 269637700.00 11 37533.43 28244.91 2028.76 3753343.00 282449100.00 12 33780.09 29387.24 1918.20 3378009.00 293872400.00 13 30026.75 30380.11 1813.47 3002675.00 303801100.00 14 26273.40 31168.13 1718.25 2627340.00 311681300.00 15 22520.06 31646.13 1616.93 2252006.00 316461300.00 16 18766.72 31575.76 1510.72 1876672.00 315757600.00 17 15013.37 30928.33 1396.96 1501337.00 309283300.00 18 11260.03 29873.62 1286.37 1126003.00 298736200.00 19 7506.69 30690.88 1172.28 750669.00 306908800.00 20 3753.34 33102.83 1077.81 375334.00 331028300.00 21 0.00 34486.21 1005.99 0.00 344862100.00 22 -8288.00 29841.23 850.65 -828800.00 298412300.00 23 -16576.00 23761.08 700.99 -1657600.00 237610800.00 24 -24864.00 16800.71 554.41 -2486400.00 168007100.00 25 -33152.00 8766.67 392.44 -3315200.00 87666700.00 26 -41440.00 -683.82 0.00 -4144000.00 -6838200.00
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
8000000.0
10000000.0
-100000000.0 0.0 100000000.0 200000000.0 300000000.0 400000000.0 500000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Hasil Perbandingan Antara PCA-COL & EXCEL-COL
EXCEL-COL
f'ile = col-1145 Rotasi = 135 derajat
f'c = 350 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.7962 Ag = 25937.5 cm2
As-tot = 1295 cm2 η = 4.99 % øMnb = 309379936.00 kg cm øPnb = 2753630.25 Kg Cb = 175.01 cm
DATA GEOMETRY BETON BLOK BETON 1 EXTERIOR
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\
No. X Y X Y X Y 1 -125 125 -125 114.56 7.38 -169.39 2 -125 75 -125 64.56 42.74 -134.04 3 -75 75 -75 64.56 7.38 -98.68 4 -75 -125 -75 -135.44 148.8 42.74 5 75 -125 75 -135.44 42.74 148.8 6 75 75 75 64.56 -98.68 7.38 7 125 75 125 64.56 -134.04 42.74 8 125 125 125 114.56 -169.39 7.38 DATA GEOMETRY BETON
BLOK BETON 2 INTERIOR
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\
No. X Y X Y X Y 1 -50 62.5 -50 52.06 -1.46 -72.17 2 -50 -62.5 -50 -72.94 86.93 16.22 3 -25 -75 -25 -85.44 78.09 42.74 4 25 -75 25 -85.44 42.74 78.09 5 50 -62.5 50 -72.94 16.22 86.93 6 50 62.5 50 52.06 -72.17 -1.46 DATA GEOMETRY BETON
BLOK BETON 3 INTERIOR
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\
No. X Y X Y X Y 1 -25 125 -25 114.56 -63.33 -98.68 2 -25 62.5 -25 52.06 -19.13 -54.49 3 25 62.5 25 52.06 -54.49 -19.13 4 25 125 25 114.56 -98.68 -63.33 DATA GEOMETRY TULANGAN
/KOORDT INPUT\ /KOORDT TRANS\ /KOORDT ROTASI\ No. X Y X Y X Y As
1 -100 100 -100 89.56 7.38 -134.04 35 2 -75 100 -75 89.56 -10.29 -116.36 35 3 -50 100 -50 89.56 -27.97 -98.68 35 4 -50 75 -50 64.56 -10.29 -81 35 5 -50 -75 -50 -85.44 95.77 25.06 35 6 -50 -100 -50 -110.44 113.45 42.74 35 7 -25 -100 -25 -110.44 95.77 60.42 35 8 0 -100 0 -110.44 78.09 78.09 35 9 25 -100 25 -110.44 60.42 95.77 35
10 50 -100 50 -110.44 42.74 113.45 35 11 50 -75 50 -85.44 25.06 95.77 35 12 50 75 50 64.56 -81 -10.29 35 13 50 100 50 89.56 -98.68 -27.97 35 14 75 100 75 89.56 -116.36 -10.29 35 15 100 100 100 89.56 -134.04 7.38 35 16 -100 112.5 -100 102.06 -1.46 -142.88 35 17 -100 87.5 -100 77.06 16.22 -125.2 35 18 -75 112.5 -75 102.06 -19.13 -125.2 35 19 -75 87.5 -75 77.06 -1.46 -107.52 35 20 -50 112.5 -50 102.06 -36.81 -107.52 35 21 -50 87.5 -50 77.06 -19.13 -89.84 35 22 50 112.5 50 102.06 -107.52 -36.81 35 23 50 87.5 50 77.06 -89.84 -19.13 35 24 75 112.5 75 102.06 -125.2 -19.13 35 25 75 87.5 75 77.06 -107.52 -1.46 35 26 100 112.5 100 102.06 -142.88 -1.46 35 27 100 87.5 100 77.06 -125.2 16.22 35 28 -50 -112.5 -50 -122.94 122.29 51.58 35 29 -25 -112.5 -25 -122.94 104.61 69.26 35 30 0 -112.5 0 -122.94 86.93 86.93 35 31 25 -112.5 25 -122.94 69.26 104.61 35 32 50 -112.5 50 -122.94 51.58 122.29 35 33 50 -87.5 50 -97.94 33.9 104.61 35 34 25 -87.5 25 -97.94 51.58 86.93 35 35 0 -87.5 0 -97.94 69.26 69.26 35 36 -25 -87.5 -25 -97.94 86.93 51.58 35 37 -50 -87.5 -50 -97.94 104.61 33.9 35
-6000000
-4000000
-2000000
0
2000000
4000000
6000000
8000000
10000000
-5000000 0 50000000 10000000 15000000 20000000 25000000 30000000 35000000 40000000
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-200
-150
-100
-50
0
50
100
150
200
-200 -100 0 100 200
ANALISIS DIAGRAM INTERAKSI KOLOM : col-1145 f'c Fy εu Es øc øb β1 Ag As-tot η
350 4000 0.003 2000000 0.6 0.8 0.7962 25937.5 1295 4.99%
No. C Ac-
beton Yc-
beton Cc-beton Mc-beton ∑Cs-tul ∑Ms-tul Pn Mn ø øPn øMn
Blc 175.0 12522.5 65.7 3725454.3 244629568.0 863929.4 271003616.0 4589383.5 515633184.0 0.600 2753630.3 309379936.0 1 954.6 25937.5 0.0 7716407.0 130.2 4794737.5 7912036.0 12511144.0 7912166.0 0.600 7506686.5 4747300.0 2 636.4 25937.5 0.0 7716407.0 130.2 4631404.5 27484704.0 12347812.0 27484834.0 0.600 7408687.5 16490901.0 3 591.9 25937.5 0.0 7716407.0 130.2 4566422.0 34902436.0 12282829.0 34902568.0 0.600 7369697.5 20941542.0 4 547.3 25937.5 0.0 7716407.0 130.2 4489640.5 43572652.0 12206048.0 43572784.0 0.600 7323629.0 26143672.0 5 502.8 25937.5 0.0 7716407.0 130.2 4390243.5 54071808.0 12106650.0 54071940.0 0.600 7263990.5 32443166.0 6 458.2 25937.5 0.0 7716407.0 130.2 4249807.0 66999272.0 11966214.0 66999404.0 0.600 7179728.5 40199644.0 7 413.7 25937.5 0.0 7716407.0 130.2 4056147.8 82804832.0 11772555.0 82804960.0 0.600 7063533.5 49682976.0 8 369.1 25346.2 3.6 7540497.0 26946444.0 3800657.0 102283912.0 11341154.0 129230352.0 0.600 6804692.5 77538216.0 9 324.6 22960.1 17.1 6830619.0 116834520.0 3458103.5 126677856.0 10288722.0 243512384.0 0.600 6173233.5 146107440.0
10 280.0 20452.1 30.5 6084489.0 185384400.0 3005903.5 155034560.0 9090392.0 340418944.0 0.600 5454235.5 204251376.0 11 235.5 18207.9 41.1 5416842.0 222587584.0 2394621.5 188320576.0 7811463.5 410908160.0 0.600 4686878.5 246544912.0 12 190.9 14200.6 58.3 4224685.0 246273552.0 1358030.0 245023712.0 5582715.0 491297280.0 0.600 3349629.3 294778368.0 13 190.9 14200.6 58.3 4224683.5 246273552.0 1358029.1 245023760.0 5582712.5 491297312.0 0.600 3349627.8 294778400.0 14 188.7 13979.3 59.3 4158848.3 246425568.0 1291709.9 248610816.0 5450558.0 495036384.0 0.600 3270335.0 297021856.0 15 186.4 13754.7 60.2 4092018.3 246460048.0 1223792.9 252284240.0 5315811.0 498744288.0 0.600 3189486.8 299246592.0 16 184.2 13523.7 61.2 4023286.0 246372592.0 1163540.8 255569184.0 5186827.0 501941760.0 0.600 3112096.3 301165056.0 17 181.9 13286.2 62.3 3952650.8 246156464.0 1090506.9 259273792.0 5043157.5 505430272.0 0.600 3025894.5 303258176.0 18 179.7 13042.4 63.4 3880112.3 245804720.0 1015647.8 263070960.0 4895760.0 508875680.0 0.600 2937456.0 305325408.0 19 177.4 12792.2 64.5 3805682.8 245310768.0 938893.3 266964240.0 4744576.0 512275008.0 0.600 2846745.8 307365024.0 20 175.2 12543.0 65.6 3731547.3 244686720.0 870583.3 270666080.0 4602130.5 515352800.0 0.600 2761278.5 309211680.0 21 173.0 12300.2 66.7 3659315.8 243949568.0 793982.2 274167616.0 4453298.0 518117184.0 0.600 2671979.0 310870336.0 22 170.7 12063.8 67.7 3588985.5 243106064.0 715749.6 277706464.0 4304735.0 520812544.0 0.600 2582841.0 312487552.0 23 168.5 11833.8 68.8 3520558.3 242162976.0 638023.2 280992160.0 4158581.5 523155136.0 0.600 2495149.0 313893088.0 24 166.2 11610.2 69.8 3454022.8 241127056.0 581123.5 283686464.0 4035146.3 524813504.0 0.600 2421087.8 314888128.0 25 164.0 11390.2 70.8 3388592.0 239991072.0 503133.3 286630560.0 3891725.3 526621632.0 0.600 2335035.3 315972992.0 26 161.7 11172.4 71.8 3323796.8 238750176.0 430808.9 288675872.0 3754605.8 527426048.0 0.600 2252763.5 316455648.0 27 159.5 10956.8 72.8 3259634.5 237406768.0 356447.3 290778752.0 3616081.8 528185536.0 0.600 2169649.3 316911328.0 28 157.2 10743.2 73.8 3196107.0 235963024.0 303285.4 292082944.0 3499392.5 528045952.0 0.600 2099635.5 316827584.0 29 155.0 10531.8 74.8 3133214.3 234421280.0 227661.3 293514752.0 3360875.5 527936032.0 0.600 2016525.4 316761632.0 30 152.7 10322.5 75.8 3070954.5 232783696.0 154673.8 294466048.0 3225628.3 527249728.0 0.600 1935377.0 316349856.0 31 150.5 10115.4 76.8 3009330.5 231052528.0 85022.0 294852800.0 3094352.5 525905344.0 0.600 1856611.6 315543232.0 32 148.2 9910.4 77.7 2948340.0 229230224.0 34673.9 295162848.0 2983014.0 524393088.0 0.600 1789808.5 314635872.0 33 146.0 9707.5 78.7 2887983.8 227318864.0 -33902.9 295041280.0 2854080.8 522360128.0 0.600 1712448.5 313416096.0 34 143.8 9506.8 79.7 2828261.5 225320768.0 -104622.8 294915904.0 2723638.8 520236672.0 0.600 1634183.4 312142016.0 35 141.5 9308.1 80.6 2769174.5 223238272.0 -173421.4 294412352.0 2595753.0 517650624.0 0.600 1557451.9 310590400.0 36 139.3 9111.7 81.6 2710721.8 221073568.0 -232615.2 293842464.0 2478106.5 514916032.0 0.600 1486864.0 308949632.0 37 137.0 8917.3 82.5 2652902.3 218828992.0 -302272.1 292993824.0 2350630.0 511822816.0 0.600 1410378.0 307093696.0 38 134.8 8725.1 83.4 2595718.0 216506768.0 -370686.1 291828096.0 2225032.0 508334848.0 0.600 1335019.3 305000928.0 39 132.5 8534.9 84.3 2539136.3 214107808.0 -431073.0 290784896.0 2108063.3 504892704.0 0.600 1264838.0 302935648.0 40 130.3 8345.2 85.2 2482706.8 211614320.0 -506660.4 289285504.0 1976046.4 500899840.0 0.600 1185627.9 300539904.0 41 128.0 8155.6 86.1 2426277.0 209019904.0 -584899.9 287733472.0 1841377.1 496753376.0 0.600 1104826.4 298052032.0 42 125.8 7965.9 87.1 2369846.3 206324528.0 -665933.1 286126016.0 1703913.3 492450560.0 0.600 1022348.0 295470336.0 43 123.5 7776.2 88.0 2313416.3 203528288.0 -739501.1 284721056.0 1573915.1 488249344.0 0.600 944349.1 292949632.0 44 121.3 7586.5 88.9 2256986.3 200631104.0 -826591.9 282993440.0 1430394.4 483624544.0 0.611 873859.6 295456928.0 45 119.0 7396.8 89.8 2200556.3 197632992.0 -916969.3 281200672.0 1283587.0 478833664.0 0.630 809080.8 301822240.0 46 116.8 7207.1 90.7 2144126.3 194533984.0 -1010822.5 279338880.0 1133303.8 473872864.0 0.650 736866.5 308108960.0 47 114.6 7017.5 91.6 2087696.6 191334080.0 -1097943.5 277757120.0 989753.1 469091200.0 0.669 662311.8 313901120.0 48 112.3 6827.8 92.6 2031266.1 188033232.0 -1199378.8 275744928.0 831887.4 463778176.0 0.690 574032.4 320023744.0 49 110.1 6638.1 93.5 1974836.3 184631472.0 -1300788.1 273497280.0 674048.1 458128768.0 0.711 479181.1 325683904.0 50 107.8 6448.4 94.4 1918406.4 181128832.0 -1403383.9 271044128.0 515022.5 452172960.0 0.732 376955.9 330955040.0 51 105.6 6258.7 95.3 1861976.4 177525248.0 -1498609.1 268847776.0 363367.3 446373024.0 0.752 273240.5 335658208.0 52 103.3 6069.1 96.3 1805546.4 173820752.0 -1604105.1 265791712.0 201441.3 439612480.0 0.773 155789.1 339984128.0 53 101.1 5879.4 97.2 1749116.1 170015360.0 -1714290.1 262599920.0 34826.0 432615296.0 0.795 27700.5 344100704.0 54 98.8 5689.7 98.1 1692686.5 166109008.0 -1815785.1 259000816.0 -123098.6 425109824.0 0.800 -98478.9 340087872.0 55 96.6 5500.0 99.1 1636256.0 162101792.0 -1898913.8 256265216.0 -262657.8 418367008.0 0.800 -210126.2 334693600.0 56 94.3 5310.3 100.0 1579826.1 157993632.0 -1999484.6 252188288.0 -419658.5 410181920.0 0.800 -335726.8 328145536.0 57 92.1 5120.7 100.9 1523396.4 153784560.0 -2096423.9 247824624.0 -573027.5 401609184.0 0.800 -458422.0 321287360.0 58 89.8 4931.0 101.9 1466966.3 149474560.0 -2195781.5 243239296.0 -728815.3 392713856.0 0.800 -583052.2 314171104.0 59 87.6 4740.4 102.8 1410258.6 145041792.0 -2274364.5 239025312.0 -864105.9 384067104.0 0.800 -691284.7 307253696.0 60 85.4 4544.0 103.8 1351849.3 140371440.0 -2368044.0 233927408.0 -1016194.8 374298848.0 0.800 -812955.8 299439072.0 61 83.1 4341.3 104.9 1291537.1 135441072.0 -2459430.5 228608240.0 -1167893.4 364049312.0 0.800 -934314.7 291239456.0 62 80.9 4132.2 105.9 1229322.0 130243944.0 -2553732.8 223009536.0 -1324410.8 353253472.0 0.800 -1059528.6 282602784.0 63 78.6 3916.7 107.1 1165204.3 124773160.0 -2629266.0 218498752.0 -1464061.8 343271904.0 0.800 -1171249.4 274617536.0 64 76.4 3697.0 108.3 1099863.0 119081536.0 -2726488.5 212146176.0 -1626625.5 331227712.0 0.800 -1301300.4 264982176.0 65 74.1 3482.7 109.5 1036116.5 113415008.0 -2829014.0 205423344.0 -1792897.5 318838336.0 0.800 -1434318.0 255070672.0 66 71.9 3274.9 110.7 974273.1 107807080.0 -2927617.3 198539216.0 -1953344.1 306346304.0 0.800 -1562675.4 245077040.0 67 69.6 3073.4 111.8 914332.4 102264496.0 -3022168.8 192024112.0 -2107836.5 294288608.0 0.800 -1686269.3 235430896.0 68 67.4 2878.3 113.0 856294.8 96794080.0 -3126029.8 184481936.0 -2269735.0 281276032.0 0.800 -1815788.0 225020832.0 69 65.1 2689.6 114.2 800159.9 91402680.0 -3233365.3 176544672.0 -2433205.3 267947360.0 0.800 -1946564.3 214357888.0 70 62.9 2507.3 115.4 745927.6 86097008.0 -3344201.0 168218480.0 -2598273.5 254315488.0 0.800 -2078618.9 203452400.0 71 60.6 2331.4 116.6 693598.6 80883952.0 -3433780.0 161455280.0 -2740181.5 242339232.0 0.800 -2192145.3 193871392.0 72 58.4 2161.9 117.8 643172.5 75770312.0 -3552676.3 152222192.0 -2909503.8 227992512.0 0.800 -2327603.0 182394016.0 73 56.2 1998.8 119.0 594649.1 70762872.0 -3653863.0 143654496.0 -3059214.0 214417376.0 0.800 -2447371.3 171533904.0 74 53.9 1842.1 120.2 548028.6 65868424.0 -3762670.5 134414656.0 -3214642.0 200283072.0 0.800 -2571713.8 160226464.0 75 51.7 1691.8 121.4 503311.0 61093812.0 -3850815.5 126927584.0 -3347504.5 188021392.0 0.800 -2678003.8 150417120.0 76 49.4 1547.9 122.6 460496.4 56445808.0 -3963504.5 116957960.0 -3503008.0 173403776.0 0.800 -2802406.5 138723024.0 77 47.2 1410.4 123.8 419584.4 51931216.0 -4078593.3 106615912.0 -3659009.0 158547136.0 0.800 -2927207.3 126837712.0 78 44.9 1279.2 125.0 380575.3 47556872.0 -4178941.0 97057648.0 -3798365.8 144614528.0 0.800 -3038692.8 115691624.0 79 42.7 1154.5 126.2 343469.4 43329580.0 -4269026.0 88671776.0 -3925556.5 132001360.0 0.800 -3140445.3 105601088.0 80 40.4 1036.2 127.3 308266.1 39256108.0 -4374975.5 78283320.0 -4066709.5 117539424.0 0.800 -3253367.8 94031544.0 81 38.2 924.3 128.5 274965.8 35343308.0 -4491101.5 66851372.0 -4216135.5 102194680.0 0.800 -3372908.5 81755744.0 82 35.9 818.7 129.7 243568.3 31597960.0 -4598654.0 55997704.0 -4355086.0 87595664.0 0.800 -3484068.8 70076536.0 83 33.7 719.6 130.9 214073.6 28026852.0 -4688097.0 46793936.0 -4474023.5 74820784.0 0.800 -3579218.8 59856628.0 84 31.5 626.8 132.1 186481.9 24636830.0 -4793884.0 35723392.0 -4607402.0 60360224.0 0.800 -3685921.8 48288180.0 85 29.2 540.5 133.3 160793.2 21434698.0 -4871074.5 27247166.0 -4710281.5 48681864.0 0.800 -3768225.3 38945492.0 86 27.0 460.5 134.5 137007.3 18427234.0 -4961129.0 17358236.0 -4824122.0 35785472.0 0.800 -3859297.8 28628378.0 87 24.7 387.0 135.7 115124.2 15621242.0 -5005883.5 12307156.0 -4890759.5 27928398.0 0.800 -3912607.8 22342718.0 88 22.5 319.8 136.9 95143.9 13023542.0 -5058471.5 6141845.0 -4963327.5 19165388.0 0.800 -3970662.0 15332311.0 89 20.2 259.0 138.1 77066.7 10640976.0 -5105463.0 567261.1 -5028396.5 11208237.0 0.800 -4022717.3 8966590.0 90 18.0 204.7 139.3 60892.2 8480275.0 -5139895.5 -3643479.5 -5079003.5 4836795.5 0.800 -4063202.8 3869436.5 91 15.7 156.7 140.5 46620.6 6548300.5 -5180000.0 -8547772.0 -5133379.5 -1999471.5 0.800 -4106703.8 -1599577.3 92 13.5 115.1 141.7 34251.9 4851834.5 -5180000.0 -8547772.0 -5145748.0 -3695937.5 0.800 -4116598.5 -2956750.0 93 11.2 80.0 142.8 23786.1 3397689.3 -5180000.0 -8547772.0 -5156214.0 -5150083.0 0.800 -4124971.3 -4120066.5 94 9.0 51.2 144.0 15223.2 2192679.8 -5180000.0 -8547772.0 -5164777.0 -6355092.0 0.800 -4131821.8 -5084073.5 95 6.7 28.8 145.2 8563.0 1243591.9 -5180000.0 -8547772.0 -5171437.0 -7304180.0 0.800 -4137149.8 -5843344.0 96 4.5 12.8 146.4 3805.8 557246.6 -5180000.0 -8547772.0 -5176194.0 -7990525.5 0.800 -4140955.3 -6392420.5 97 2.3 3.2 147.6 951.5 140449.1 -5180000.0 -8547772.0 -5179048.5 -8407323.0 0.800 -4143238.8 -6725858.5 98 0.0 0.0 160.0 0.0 0.0 -5180000.0 -8547772.0 -5180000.0 -8547772.0 0.800 -4144000.0 -6838217.5
Kutipan Output PCA-COL
General Information:
====================
File Name: C:\PROGRA~1\PCACOL\DATA\COL-1145.COL
Project: Code: ACI 318-89
Column: Units: SI Metric
Engineer: Yudi Susetyo Date:
Run Option: Investigation Short (nonslender) column
Run Axis: X-axis Column Type: Structural
Material Properties:
====================
f'c = 35 MPa fy = 400 MPa
Ec = 29910.2 MPa Es = 200000 MPa
fc = 29.75 MPa erup = 0 mm/mm
eu = 0.003 mm/mm
Stress Profile: Block Beta1 = 0.796192
Geometry:
=========
Exterior Points
Point X-Loc Y-Loc Point X-Loc Y-Loc Point X-Loc Y-Loc
No. (mm) (mm) No. (mm) (mm) No. (mm) (mm)
-------------------------------------------------------------------
1 -0 1768 2 -354 1414 3 -0 1061
4 -1414 -354 5 -354 -1414 6 1061 0
7 1414 -354 8 1768 0
Interior Points
Point X-Loc Y-Loc Point X-Loc Y-Loc Point X-Loc Y-Loc
No. (mm) (mm) No. (mm) (mm) No. (mm) (mm)
-------------------------------------------------------------------
1 707 1061 2 265 619 3 88 795
4 -795 -88 5 -707 -354 6 -354 -707
7 -88 -795 8 795 88 9 619 265
10 1061 707
Gross section area, Ag = 2.59375e+006 mm^2
Ix = 1.52106e+012 mm^4 Xo = 73.8344 mm
Iy = 1.52106e+012 mm^4 Yo = 73.8344 mm
Reinforcement:
==============
Rebar Database: ASTM
Size Diam Area Size Diam Area Size Diam Area
-------------------------------------------------------------------
10 11 100 15 16 200 20 20 300
25 25 500 30 30 700 35 36 1000
45 44 1500 55 56 2500
Confinement: User-defined; phi(c) = 0.6, phi(b) = 0.8, a = 1
N-10 ties with N-55 bars, N-10 with larger bars.
Pattern: Irregular
Total steel area, As = 129500 mm^2 at 4.99%
Area X-Loc Y-Loc Area X-Loc Y-Loc Area X-Loc Y-Loc
(mm^2) (mm) (mm) (mm^2) (mm) (mm) (mm^2) (mm) (mm)
------------------------------------------------------------------
3500 177 1237 3500 354 1061 3500 177 884
3500 -884 -177 3500 -1061 -354 3500 -884 -530
3500 -707 -707 3500 -530 -884 3500 -354 -1061
3500 -177 -884 3500 884 177 3500 1061 354
3500 1237 177 3500 -88 1326 3500 265 1326
3500 88 1149 3500 442 1149 3500 265 972
3500 1149 442 3500 972 265 3500 1326 265
3500 1149 88 3500 1503 88 3500 1326 -88
3500 -1149 -442 3500 -972 -619 3500 -795 -795
3500 -619 -972 3500 -442 -1149 3500 -265 -972
3500 -442 -795 3500 -619 -619 3500 -795 -442
3500 -972 -265 3500 -0 1414 3500 88 1503
3500 1414 0
Bending Load, P X-Mom. Y-Mom. N.A. depth
about (kN) (kN-m) (kN-m) (mm)
------------------------------------------------------------------
X Pure Comp. 75067 475 -475 8750.45
Balanced 27536 30938 -13967 1750.09
Pure Bend. 0 34486 -21016 1005.99
Kutipan output PCACOL file.txt
Point Load Moment NA depth
1 75066.87 474.72 8750.45
2 71313.52 4309.02 4436.47
3 67560.18 8179.15 3659.32
4 63806.84 12474.12 3386.76
5 60053.50 16145.85 3139.04
6 56300.15 19190.28 2906.01
7 52546.81 21607.45 2682.55
8 48793.46 23687.16 2448.53
9 45040.12 25415.87 2281.81
10 41286.78 26963.77 2145.34
11 37533.43 28244.91 2028.76
12 33780.09 29387.24 1918.20
13 30026.75 30380.11 1813.47
14 26273.40 31168.13 1718.25
15 22520.06 31646.13 1616.93
16 18766.72 31575.76 1510.72
17 15013.37 30928.33 1396.96
18 11260.03 29873.62 1286.37
19 7506.69 30690.88 1172.28
20 3753.34 33102.83 1077.81
21 0.00 34486.21 1005.99
22 -8288.00 29841.23 850.65
23 -16576.00 23761.08 700.99
24 -24864.00 16800.71 554.41
25 -33152.00 8766.67 392.44
26 -41440.00 -683.82 0.00
Konversi Satuan output PCACOL dari KNm-Kgcm Point Load Moment NA depth Load Moment
kN kNm mm Kg Kgcm
1 75066.9 671.4 7125.0 7506687.0 6713600.0 2 71313.5 3866.6 4681.3 7131352.0 38666200.0 3 67560.2 7169.5 3561.8 6756018.0 71694600.0 4 63806.8 11005.1 3086.5 6380684.0 110050500.0 5 60053.5 14887.7 2977.0 6005350.0 148876700.0 6 56300.2 18420.9 2871.3 5630015.0 184208500.0 7 52546.8 21741.9 2765.8 5254681.0 217419000.0 8 48793.5 24833.4 2661.4 4879346.0 248333700.0 9 45040.1 27642.3 2560.4 4504012.0 276423300.0
10 41286.8 30367.0 2426.1 4128678.0 303669900.0 11 37533.4 32770.6 2201.7 3753343.0 327706300.0 12 33780.1 35299.2 1986.5 3378009.0 352992400.0 13 30026.8 37752.4 1820.2 3002675.0 377523600.0 14 26273.4 40142.9 1674.5 2627340.0 401429400.0 15 22520.1 42561.3 1543.8 2252006.0 425612800.0 16 18766.7 44935.1 1429.5 1876672.0 449351400.0 17 15013.4 46524.9 1268.6 1501337.0 465248900.0 18 11260.0 44574.1 905.8 1126003.0 445740800.0 19 7506.7 44074.4 643.4 750669.0 440743800.0 20 3753.3 45507.6 533.2 375334.0 455076000.0 21 0.0 45707.5 458.0 0.0 457074600.0 22 -8288.0 37297.7 342.0 -828800.0 372976600.0 23 -16576.0 28529.9 264.5 -1657600.0 285298900.0 24 -24864.0 19307.3 191.6 -2486400.0 193072900.0 25 -33152.0 9507.1 116.6 -3315200.0 95071400.0 26 -41440.0 -967.1 0.0 -4144000.0 -9670700.0
-6000000
-4000000
-2000000
0
2000000
4000000
6000000
8000000
10000000
-5000000 0 50000000 10000000 15000000 20000000 25000000 30000000 35000000 40000000
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Hasil Perbandingan Antara PCA-COL & EXCEL-COL
EXCEL-COL
f'ile = col9 Rotasi = 180 derajat
f'c = 350 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.7962 Ag = 1600 cm2
As-tot = 48 cm2
η = 3.00 %
øMnb = 2471379.75 kg cm
øPnb = 126247.90 Kg
Cb = 21.60 cm
-200000.0
-100000.0
0.0
100000.0
200000.0
300000.0
400000.0
500000.0
0.0 500000.0 1000000.0 1500000.0 2000000.0 2500000.0 3000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan antaraPCACOL & EXCEL-COL
-200000.0
-100000.0
0.0
100000.0
200000.0
300000.0
400000.0
500000.0
0.0 500000.0 1000000.0 1500000.0 2000000.0 2500000.0 3000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-25
-20
-15
-10
-5
0
5
10
15
20
25
-30 -20 -10 0 10 20 30
EXCEL-COL
f'ile = col8 Rotasi = 180 derajat
f'c = 400 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.7599 Ag = 2349.153 cm2
As-tot = 180 cm2 η = 7.66 % øMnb = 8355968.50 kg cm øPnb = 218890.91 Kg Cb = 34.20 cm
-800000.0
-600000.0
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
1000000.0
-2000000.0 0.0 2000000.0 4000000.0 6000000.0 8000000.0 10000000.0 12000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan antara PCA-COL & EXCEL-COL
-800000.0
-600000.0
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
1000000.0
-2000000.0 0.0 2000000.0 4000000.0 6000000.0 8000000.0 10000000.0 12000000.0øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-40
-30
-20
-10
0
10
20
30
40
-40 -20 0 20 40
EXCEL-COL
f'ile = col8 Rotasi = 45 derajat
f'c = 400 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.7599 Ag = 2349.153 cm2
As-tot = 180 cm2 η = 7.66 % øMnb = 8507636.00 kg cm øPnb = 199544.97 Kg Cb = 31.78 cm
-800000.0
-600000.0
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
1000000.0
-2000000.0 0.0 2000000.0 4000000.0 6000000.0 8000000.0 10000000.0 12000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-800000.0
-600000.0
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
1000000.0
-2000000.0 0.0 2000000.0 4000000.0 6000000.0 8000000.0 10000000.0 12000000.0øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-40
-30
-20
-10
0
10
20
30
40
-40 -30 -20 -10 0 10 20 30 40
EXCEL-COL
f'ile = COL7 Rotasi = 180 derajat
f'c = 350 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.7962 Ag = 1200 cm2
As-tot = 84 cm2 η = 7.00 % øMnb = 6420883.50 kg cm øPnb = 142131.69 Kg Cb = 33.00 cm
-400000.0
-300000.0
-200000.0
-100000.0
0.0
100000.0
200000.0
300000.0
400000.0
500000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0 7000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan AntaraPCA-COL & EXCEL-COL
-400000.0
-300000.0
-200000.0
-100000.0
0.0
100000.0
200000.0
300000.0
400000.0
500000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0 7000000.0øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-40
-30
-20
-10
0
10
20
30
-30 -20 -10 0 10 20 30
EXCEL-COL
f'ile = col7 Rotasi = 45 derajat
f'c = 350 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.7962 Ag = 1200 cm2
As-tot = 84 cm2
η = 7.00 %
øMnb = 3872417.50 kg cm
øPnb = 94844.63 Kg
Cb = 37.12 cm
-400000.0
-300000.0
-200000.0
-100000.0
0.0
100000.0
200000.0
300000.0
400000.0
500000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-400000.0
-300000.0
-200000.0
-100000.0
0.0
100000.0
200000.0
300000.0
400000.0
500000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-40
-30
-20
-10
0
10
20
30
40
-40 -20 0 20 40
EXCEL-COL
f'ile = col3 Rotasi = 180 derajat
f'c = 200 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.85 Ag = 12187.5 cm2
As-tot = 507 cm2 η = 4.16 % øMnb = 122362168.00 kg cm øPnb = 1300960.88 Kg Cb = 153.75 cm
-2000000.0
-1500000.0
-1000000.0
-500000.0
0.0
500000.0
1000000.0
1500000.0
2000000.0
2500000.0
3000000.0
-20000000.0 0.0 20000000.0 40000000.0 60000000.0 80000000.0 100000000.0 120000000.0 140000000.0 160000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan AntaraPCA-COL & EXCEL-COL
-2000000.0
-1500000.0
-1000000.0
-500000.0
0.0
500000.0
1000000.0
1500000.0
2000000.0
2500000.0
3000000.0
-20000000.0 0.0 20000000.0 40000000.0 60000000.0 80000000.0 100000000.0120000000.0140000000.0160000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-200
-150
-100
-50
0
50
100
150
-150 -100 -50 0 50 100
EXCEL-COL
f'ile = col3 Rotasi = 45 derajat
f'c = 200 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.85 Ag = 12187.5 cm2
As-tot = 507 cm2
η = 4.16 %
øMnb = 65361992.00 kg cm
øPnb = 568072.13 Kg
Cb = 127.28 cm
-2000000.0
-1500000.0
-1000000.0
-500000.0
0.0
500000.0
1000000.0
1500000.0
2000000.0
2500000.0
3000000.0
-20000000.0 0.0 20000000.0 40000000.0 60000000.0 80000000.0 100000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-2000000.0
-1500000.0
-1000000.0
-500000.0
0.0
500000.0
1000000.0
1500000.0
2000000.0
2500000.0
3000000.0
-20000000.0 0.0 20000000.0 40000000.0 60000000.0 80000000.0 100000000.0øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-150
-100
-50
0
50
100
150
-200 -150 -100 -50 0 50 100 150 200
EXCEL-COL
f'ile = col4 Rotasi = 180 derajat
f'c = 200 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.85 Ag = 23400 cm2
As-tot = 1560 cm2
η = 6.67 %
øMnb = 316415040.00 kg cm
øPnb = 1459590.38 Kg
Cb = 135.00 cm
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
8000000.0
0.0 50000000.0 100000000.0 150000000.0 200000000.0 250000000.0 300000000.0 350000000.0 400000000.0 450000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
8000000.0
0.0 50000000.0 100000000.0 150000000.0 200000000.0 250000000.0 300000000.0 350000000.0 400000000.0 450000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-150
-100
-50
0
50
100
150
-100 -50 0 50 100
EXCEL-COL
f'ile = col4 Rotasi = 45 derajat
f'c = 200 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.85 Ag = 23400 cm2
As-tot = 1560 cm2
η = 6.67 %
øMnb = 197183328.00 kg cm
øPnb = 1482948.38 Kg
Cb = 152.74 cm
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
8000000.0
-50000000.0 0.0 50000000.0 100000000.0 150000000.0 200000000.0 250000000.0 300000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan AntaraPCA-COL & EXCEL-COL
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
8000000.0
-50000000.0 0.0 50000000.0 100000000.0 150000000.0 200000000.0 250000000.0 300000000.0øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-200
-150
-100
-50
0
50
100
150
200
-200 -150 -100 -50 0 50 100 150 200
EXCEL-COL
f'ile = col5
Rotasi = 180 derajat
f'c = 200 Kg/cm2
Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.85 Ag = 21250 cm2
As-tot = 1264 cm2 η = 5.95 % øMnb = 312740064.00 kg cm øPnb = 1599018.13 Kg Cb = 146.25 cm
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
-100000000.0 0.0 100000000.0 200000000.0 300000000.0 400000000.0 500000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
-50000000.0 0.0 50000000.0 100000000.0 150000000.0 200000000.0 250000000.0 300000000.0 350000000.0 400000000.0 450000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-150
-100
-50
0
50
100
150
-150 -100 -50 0 50 100 150
EXCEL-COL
f'ile = col5 Rotasi = 45 derajat
f'c = 200 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.85 Ag = 21250 cm2
As-tot = 1264 cm2
η = 5.95 %
øMnb = 251180608.00 kg cm
øPnb = 1331143.38 Kg
Cb = 206.83 cm
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
-50000000.0 0.0 50000000.0100000000.0150000000.0200000000.0250000000.0300000000.0350000000.0400000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-6000000.0
-4000000.0
-2000000.0
0.0
2000000.0
4000000.0
6000000.0
-50000000.0 0.0 50000000.0 100000000.0 150000000.0 200000000.0 250000000.0 300000000.0 350000000.0 400000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-200
-150
-100
-50
0
50
100
150
200
250
-300 -200 -100 0 100 200
EXCEL-COL
f'ile = col6 Rotasi = 180 derajat
f'c = 300 Kg/cm2 Fy = 4000 Kg/cm2 εu = 0.003
Es = 2000000 Kg/cm2 øc = 0.6
øb = 0.8 β1 = 0.8325 Ag = 2400 cm2
As-tot = 105 cm2 η = 4.38 % øMnb = 6501389.00 kg cm øPnb = 197559.95 Kg Cb = 33.00 cm
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0 7000000.0 8000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0 7000000.0 8000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-40
-30
-20
-10
0
10
20
30
40
-30 -20 -10 0 10 20 30
EXCEL-COL
f'ile = col6 Rotasi = 45 derajat
f'c = 300 Kg/cm2
Fy = 4000 Kg/cm2
εu = 0.003 Es = 2000000 Kg/cm2
øc = 0.6 øb = 0.8 β1 = 0.8325 Ag = 2400 cm2
As-tot = 105 cm2
η = 4.38 %
øMnb = 4598425.00 kg cm
øPnb = 158105.41 Kg
Cb = 38.18 cm
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0 7000000.0
øPn (
Kg)
øMn-x (Kg cm)
Diagram Interaksi Perbandingan Antara PCA-COL & EXCEL-COL
-400000.0
-200000.0
0.0
200000.0
400000.0
600000.0
800000.0
-1000000.0 0.0 1000000.0 2000000.0 3000000.0 4000000.0 5000000.0 6000000.0 7000000.0
øPn (
Kg)
øMn-x (Kg cm)
DIAGRAM INTERAKSI
-40
-30
-20
-10
0
10
20
30
40
-40 -20 0 20 40
KESIMPULAN
Dari hasil perbandingan output grafik diagram interaksi antara EXCEL-COL dan PCACOL Nampak bahwa baik
bentuk maupun angkanya tidaklah berbeda secara signifikan, sehingga dapat ditarik kesimpulan bahwa program
EXCEL-COL sudah layak untuk dijadikan sebagai alat uji untuk design dan perencanaan konstruksi ataupun bagi
bahan studi untuk mahasiswa maupun praktisi.
DAFTAR PUSTAKA
1. A. Boulfoul and A. Belouar, Methadologycal Study of The Ultime Limit Section In Reinforced Concrete
Under Biaxial Bending And Axial Compression, Asian Journal Of Civil Engineering (building ans
Housing) Vol. 8, No 5 (2007) Pages 521-530. Department Of Civil Engineering, Universite Mentouri de
Constantine, Algeria
2. L. Cedolin, G. Cusatis, S. Eccheli, M. Roveda, Biaxial Bending Of Columns: An Analitical Solutions,
Studies And Research- V 26, 2006, Graduate School in Concrete Structure _ Fretelli Pesenti Politecnico
di
Milano, Italy
3. Portland Cement Association (PCA), PCACOL Strength Design Of Reinforced Concrete Column
Sections, Concrete Design Software Library, 5420 Old Orchad Road, Skokie, Illinois 60077-1083
4. Song Gu and Cheng-Tzu Thomas. Hsu, Computer Analysis Of Reinforced Concrete Columns
Subjected
To Biaxial Sustained Loads, 15th ASCE Engineering Mechanics Conference June 2-5, 2002, Columbia
University, New York
5. Suradjin Sucipto, Inc, SECTION Program Komputer, Jakarta 1996
Peminat program EXCEL-COL dapat menghubungi 0287 5507199
e-mail: [email protected], facebook : Yudi Susetyo