Analisis Kekuatan Kolom Pier Beton Bertulang

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c mm MPa MPa MPa MPa MPa MPa MPa MPa MPa TEKAN AKSIAL SENTRIS 2616 0.00036 0.00064 0.00092 0.00120 0.00148 0.00176 0.00204 0.00232 0.00260 0.00289 72.477 128.542 184.608 240.673 296.738 352.803 390.000 390.000 390.000 2592 0.00034 0.00062 0.00090 0.00119 0.00147 0.00175 0.00204 0.00232 0.00260 0.00288 67.593 124.177 180.761 237.346 293.930 350.514 390.000 390.000 390.000 2568 0.00031 0.00060 0.00088 0.00117 0.00146 0.00174 0.00203 0.00231 0.00260 0.00288 62.617 119.730 176.843 233.956 291.070 348.183 390.000 390.000 390.000 2544 0.00029 0.00058 0.00086 0.00115 0.00144 0.00173 0.00202 0.00231 0.00259 0.00288 57.547 115.199 172.851 230.503 288.155 345.807 390.000 390.000 390.000 2520 0.00026 0.00055 0.00084 0.00113 0.00143 0.00172 0.00201 0.00230 0.00259 0.00288 52.381 110.582 168.783 226.984 285.185 343.386 390.000 390.000 390.000 2496 0.00024 0.00053 0.00082 0.00112 0.00141 0.00170 0.00200 0.00229 0.00259 0.00288 47.115 105.876 164.637 223.397 282.158 340.919 390.000 390.000 390.000 2472 0.00021 0.00051 0.00080 0.00110 0.00140 0.00169 0.00199 0.00229 0.00258 0.00288 41.748 101.079 160.410 219.741 279.072 338.403 390.000 390.000 390.000 2448 0.00018 0.00048 0.00078 0.00108 0.00138 0.00168 0.00198 0.00228 0.00258 0.00288 36.275 96.187 156.100 216.013 275.926 335.839 390.000 390.000 390.000 2424 0.00015 0.00046 0.00076 0.00106 0.00136 0.00167 0.00197 0.00227 0.00257 0.00288 30.693 91.199 151.705 212.211 272.717 333.223 390.000 390.000 390.000 2400 0.00013 0.00043 0.00074 0.00104 0.00135 0.00165 0.00196 0.00226 0.00257 0.00288 25.000 86.111 147.222 208.333 269.444 330.556 390.000 390.000 390.000 2376 0.00010 0.00040 0.00071 0.00102 0.00133 0.00164 0.00195 0.00226 0.00257 0.00287 19.192 80.920 142.649 204.377 266.105 327.834 389.562 390.000 390.000 2352 0.00007 0.00038 0.00069 0.00100 0.00131 0.00163 0.00194 0.00225 0.00256 0.00287 13.265 75.624 137.982 200.340 262.698 325.057 387.415 390.000 390.000 2328 0.00004 0.00035 0.00067 0.00098 0.00130 0.00161 0.00193 0.00224 0.00256 0.00287 7.216 70.218 133.219 196.220 259.221 322.222 385.223 390.000 390.000 2304 0.00001 0.00032 0.00064 0.00096 0.00128 0.00160 0.00191 0.00223 0.00255 0.00287 1.042 64.699 128.356 192.014 255.671 319.329 382.986 390.000 390.000 2280 ### 0.00030 0.00062 0.00094 0.00126 0.00158 0.00190 0.00223 0.00255 0.00287 -5.263 59.064 123.392 187.719 252.047 316.374 380.702 390.000 390.000 2256 ### 0.00027 0.00059 0.00092 0.00124 0.00157 0.00189 0.00222 0.00254 0.00287 -11.702 53.310 118.322 183.333 248.345 313.357 378.369 390.000 390.000 2232 ### 0.00024 0.00057 0.00089 0.00122 0.00155 0.00188 0.00221 0.00254 0.00287 -18.280 47.431 113.142 178.853 244.564 310.275 375.986 390.000 390.000 2208 ### 0.00021 0.00054 0.00087 0.00120 0.00154 0.00187 0.00220 0.00253 0.00286 -25.000 41.425 107.850 174.275 240.700 307.126 373.551 390.000 390.000 2184 ### 0.00018 0.00051 0.00085 0.00118 0.00152 0.00186 0.00219 0.00253 0.00286 -31.868 35.287 102.442 169.597 236.752 303.907 371.062 390.000 390.000 2160 ### 0.00015 0.00048 0.00082 0.00116 0.00150 0.00184 0.00218 0.00252 0.00286 -38.889 29.012 96.914 164.815 232.716 300.617 368.519 390.000 390.000 2136 ### 0.00011 0.00046 0.00080 0.00114 0.00149 0.00183 0.00217 0.00252 0.00286 -46.067 22.597 91.261 159.925 228.589 297.253 365.918 390.000 390.000 2112 ### 0.00008 0.00043 0.00077 0.00112 0.00147 0.00182 0.00216 0.00251 0.00286 -53.409 16.035 85.480 154.924 224.369 293.813 363.258 390.000 390.000 2088 ### 0.00005 0.00040 0.00075 0.00110 0.00145 0.00180 0.00215 0.00251 0.00286 -60.920 9.323 79.566 149.808 220.051 290.294 360.536 390.000 390.000 2064 ### 0.00001 0.00037 0.00072 0.00108 0.00143 0.00179 0.00214 0.00250 0.00285 -68.605 2.455 73.514 144.574 215.633 286.693 357.752 390.000 390.000 2040 ### ### 0.00034 0.00070 0.00106 0.00142 0.00177 0.00213 0.00249 0.00285 -76.471 -4.575 67.320 139.216 211.111 283.007 354.902 390.000 390.000 2016 ### ### 0.00030 0.00067 0.00103 0.00140 0.00176 0.00212 0.00249 0.00285 -84.524 -11.772 60.979 133.730 206.481 279.233 351.984 390.000 390.000 1992 ### ### 0.00027 0.00064 0.00101 0.00138 0.00174 0.00211 0.00248 0.00285 -92.771 -19.143 54.485 128.112 201.740 275.368 348.996 390.000 390.000 1968 ### ### 0.00024 0.00061 0.00098 0.00136 0.00173 0.00210 0.00247 0.00285 ### -26.694 47.832 122.358 196.883 271.409 345.935 390.000 390.000 1944 ### ### 0.00021 0.00058 0.00096 0.00134 0.00171 0.00209 0.00247 0.00285 ### -34.431 41.015 116.461 191.907 267.353 342.798 390.000 390.000 1920 ### ### 0.00017 0.00055 0.00093 0.00132 0.00170 0.00208 0.00246 0.00284 ### -42.361 34.028 110.417 186.806 263.194 339.583 390.000 390.000 1896 ### ### 0.00013 0.00052 0.00091 0.00129 0.00168 0.00207 0.00245 0.00284 ### -50.492 26.864 104.219 181.575 258.931 336.287 390.000 390.000 1872 ### ### 0.00010 0.00049 0.00088 0.00127 0.00166 0.00206 0.00245 0.00284 ### -58.832 19.516 97.863 176.211 254.558 332.906 390.000 390.000 1848 ### ### 0.00006 0.00046 0.00085 0.00125 0.00165 0.00204 0.00244 0.00284 ### -67.388 11.977 91.342 170.707 250.072 329.437 390.000 390.000 εs1 εs2 εs3 εs4 εs5 εs6 εs7 εs8 εs9 εs10 fs1 fs2 fs3 fs4 fs5 fs6 fs7 fs8 fs9

description

Analisis Kekuatan Kolom Pier Beton Bertulang

Transcript of Analisis Kekuatan Kolom Pier Beton Bertulang

ANALISIS-2cs1s2s3s4s5s6s7s8s9s10fs1fs2fs3fs4fs5fs6fs7fs8fs9fs10Fs1Fs2Fs3Fs4Fs5Fs6Fs7Fs8Fs9Fs10CsMs1Ms2Ms3Ms4Ms5Ms6Ms7Ms8Ms9Ms10MsaCcMcPnMn.Pn.MnmmMPaMPaMPaMPaMPaMPaMPaMPaMPaMPakNkNkNkNkNkNkNkNkNkNkNkNmmkNmmkNmmkNmmkNmmkNmmkNmmkNmmkNmmkNmmkNmmmmkNkNmmkNkNmkNkNmTEKAN AKSIAL SENTRIS92294.160.0059991.200.00Pn26160.000360.000640.000920.001200.001480.001760.002040.002320.002600.0028972.477128.542184.608240.673296.738352.803390.000390.000390.000390.000744.810264.193379.424494.655609.886725.116801.567801.567801.5674007.8349630.619-819291.50-226031.76-231870.12-181373.39-74541.5788625.34293907.86489846.43685785.014408617.914433674.232223.6094124.998301823.9492294.1612735.5059991.208278.07103755.60712515625920.000340.000620.000900.001190.001470.001750.002040.002320.002600.0028867.593124.177180.761237.346293.930350.514390.000390.000390.000390.000694.615255.221371.519487.817604.114720.412801.567801.567801.5674007.8349546.233-764076.70-218355.63-227039.20-178866.05-73836.2088050.37293907.86489846.43685785.014408617.914504033.822203.2093261.469176927.2792294.1613680.9659991.208892.62102807.68888083725680.000310.000600.000880.001170.001460.001740.002030.002310.002600.0028862.617119.730176.843233.956291.070348.183390.000390.000390.000390.000643.482246.081363.466480.850598.235715.620801.567801.567801.5674007.8349460.269-707829.86-210536.02-222117.98-176311.85-73117.6487464.66293907.86489846.43685785.014408617.914575708.542182.8092397.9210034414.5592294.1614610.1259991.209496.58101858.1933235425440.000290.000580.000860.001150.001440.001730.002020.002310.002590.0028857.547115.199172.851230.503288.155345.807390.000390.000390.000390.000591.383236.769355.261473.753592.245710.737801.567801.567801.5674007.8349372.684-650521.75-202568.87-217103.90-173709.45-72385.5286867.89293907.86489846.43685785.014408617.914648735.622162.4091534.3910874285.7792294.1615523.0259991.2010089.96100907.07581233225200.000260.000550.000840.001130.001430.001720.002010.002300.002590.0028852.381110.582168.783226.984285.185343.386390.000390.000390.000390.000538.293227.279346.900466.520586.141705.762801.567801.567801.5674007.8349283.430-592122.06-194449.96-211994.32-171057.49-71639.4686259.76293907.86489846.43685785.014408617.914723153.692142.0090670.8611696540.9492294.1616419.6959991.2010672.8099954.290005672824960.000240.000530.000820.001120.001410.001700.002000.002290.002590.0028847.115105.876164.637223.397282.158340.919390.000390.000390.000390.000484.181217.607338.378459.149579.920700.690801.567801.567801.5674007.8349192.460-532599.30-186174.92-206786.48-168354.52-70879.0585639.93293907.86489846.43685785.014408617.914799002.872121.6089807.3312501180.0692294.1617300.1859991.2011245.1298999.787779654324720.000210.000510.000800.001100.001400.001690.001990.002290.002580.0028841.748101.079160.410219.741279.072338.403390.000390.000390.000390.000429.019207.747329.690451.634573.577695.521801.567801.567801.5674007.8349099.723-471920.76-177739.21-201477.51-165599.07-70103.8885008.06293907.86489846.43685785.014408617.914876324.862101.2088943.8013288203.1292294.1618164.5359991.2011806.9498043.519141480124480.000180.000480.000780.001080.001380.001680.001980.002280.002580.0028836.27596.187156.100216.013275.926335.839390.000390.000390.000390.000372.775197.694320.833443.972567.110690.249801.567801.567801.5674007.8349005.168-410052.45-169138.08-196064.45-162789.59-69313.5084363.81293907.86489846.43685785.014408617.914955162.962080.8088080.2614057610.1392294.1619012.7759991.2012358.3097085.432137851524240.000150.000460.000760.001060.001360.001670.001970.002270.002570.0028830.69391.199151.705212.211272.717333.223390.000390.000390.000390.000315.417187.442311.800436.158560.516684.874801.567801.567801.5674007.8348908.741-346959.01-160366.64-190544.20-159924.48-68507.4883706.80293907.86489846.43685785.014408617.915035562.212060.4087216.7314809401.0992294.1619844.9659991.2012899.2396125.472757913524000.000130.000430.000740.001040.001350.001650.001960.002260.002570.0028825.00086.111147.222208.333269.444330.556390.000390.000390.000390.000256.912176.984302.586428.187553.789679.391801.567801.567801.5674007.8348810.385-282603.71-151419.77-184913.54-157002.06-67685.3383036.65293907.86489846.43685785.014408617.915117569.452040.0086353.2015543576.0092294.1620661.1559991.2013429.7495163.584830376723760.000100.000400.000710.001020.001330.001640.001950.002260.002570.0028719.19280.920142.649204.377266.105327.834389.562390.000390.000390.000197.226166.315293.186420.056546.927673.797800.667801.567801.5674007.8348709.142-216948.30-142292.15-179169.13-154020.61-66846.5882352.96293578.00489846.43685785.014408617.915200903.542019.6085489.6716260134.8592294.1621461.0459991.2013949.6794198.810288261623520.000070.000380.000690.001000.001310.001630.001940.002250.002560.0028713.26575.624137.982200.340262.698325.057387.415390.000390.000390.000136.321155.429283.594411.759539.924668.089796.254801.567801.5674007.8348602.338-149952.99-132978.25-173307.49-150978.31-65990.7181655.31291959.75489846.43685785.014408617.915284656.671999.2084626.1416959077.6592294.1622243.7359991.2014458.4393228.474164118423280.000040.000350.000670.000980.001300.001610.001930.002240.002560.002877.21670.218133.219196.220259.221322.222385.223390.000390.000390.00074.160144.318273.805403.291532.777662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BALANCE0.000.001394-0.00195-0.00142-0.00090-0.000370.000150.000680.001210.001730.002260.00278-390.000-284.783-179.565-74.34830.870136.087241.304346.522390.000390.000-4007.834-585.314-369.060-152.80763.446279.699495.953712.206801.5674007.8341245.6904408617.91500768.32225536.8856029.26-7754.5434185.49181849.35435237.02685785.014408617.9110928872.611184.8550154.6430472741.1851400.3341401.6133410.2126911.0551400.3267200038

ANALISIS-2

f.Mn (kNm)f.Pn (kN)

ANALISIS-1ANALISIS KEKUATAN KOLOM PIER BETON BERTULANGDENGAN DIAGRAM INTERAKSISource : www.ilmutekniksipil.comKODE PIERP8180INPUT DATA KOLOM PIER240Mutu Beton :K -250240Mutu Baja Tulangan :U -3957600Dimensi Kolom,b =2400mmh =2400mmTebal brutto selimut beton,ds =100mmJumlah tulangan,n =46buahDiameter tulangan,D =32mmPERHITUNGAN DIAGRAM INTERAKSIKuat tekan beton,fc' = 0.83*K /10 =20.75MPaTegangan leleh baja,fy = U*10 =390MPaModulus elastis baja,Es =2.E+05MPa1 =0.85untuk fc' 30 MPa1 =0.85 - 0.008 (fc' - 30)untuk fc' > 30 MPaFaktor distribusi tegangan,1 =0.85Faktor reduksi kekuatan,f =0.65Luas baja tulangan total,As = n * p / 4 * D2 =36995mm2Jarak antara tulangan,x = ( h - 2*ds ) / 9 =244.444mmNoLuas masing-masing tulanganJarak tulanganPada kondisi tekan aksial sentris (Mno = 0) :1As1 = 10/36 * As =10276mm2d1 = 9*x + ds =2300mPno = 0.80*[ 0.85*fc' *b*h + As*(fy - 0.85*fc')]*10-3=92294kN2As2 = 2/36 * As =2055mm2d2 = 8*x + ds =2056mPada kondisi balance :3As2 = 2/36 * As =2055mm2d3 = 7*x + ds =1811mc = cb = 600 / (600 + fy) * d1 =1393.94mm4As2 = 2/36 * As =2055mm2d4 = 6*x + ds =1567m5As2 = 2/36 * As =2055mm2d5 = 5*x + ds =1322mPada kondisi garis netral terletak pada jarak c dari sisi beton tekan terluar :6As2 = 2/36 * As =2055mm2d6 = 4*x + ds =1078mRegangan pada masing-masing baja tulangan :7As2 = 2/36 * As =2055mm2d7 = 3*x + ds =833msi = 0.003 * ( c - di ) / c8As2 = 2/36 * As =2055mm2d8 = 2*x + ds =589mTegangan pada masing-masing baja tulangan :9As2 = 2/36 * As =2055mm2d9 = x + ds =344mUntuk| si | < fy / Esmaka :fsi = esi* Es10As1 = 10/36 * As =10276mm2d10 = ds =100mUntuk| si | fy / Esmaka :fsi =| si | / esi* fyPERSAMAAN DIAGRAM INTERAKSISATUANGaya-gaya internal pada masing-masing baja tulangan :Fsi = Asi * fsi * 10-3kNResultan gaya internal baja tulangan :Cs = [ S Fsi ]*10-3kNMomen akibat gaya internal masing-masing baja tulangan :Msi = Fsi*(h/2 - di)kNmmMs = S MsikNmmTinggi blok tegangan tekan beton,a = 1 * cmmGaya internal pada beton tekan :Cc = 0.85 * fc' * b * a * 10-3kNMomen akibat gaya internal tekan beton :Mc = Cc * (h - a) / 2kNmmGaya aksial nominal :Pn = Cs + CckNMomen nominal :Mn = (Mc + Ms)*10-3kNmGaya aksial rencana :Pu = f * PnkNMomen rencana :Mu = f * MnkNm