Excel Perhitungan Beton 4
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ANALISIS KEKUATAN KOLOM BETON BERTULANG DENGAN DIAGRAM INTERAKSI [C]2010 : M. Noer Ilham KODE KOLOM K1 INPUT DATA KOLOM Kuat tekan beton, f c ' = 24.9 MPa Tegangan leleh baja, f y = 390 MPa Lebar kolom, b = 450 mm Tinggi kolom, h = 450 mm Tebal brutto selimut beton, d s = 58 mm Jumlah tulangan, n = 16 buah Diameter tulangan, D = 16 mm PERHITUNGAN DIAGRAM INTERAKSI Modulus elastis baja, E s = 2.E+05 MPa β 1 = 0.85 untuk f c ' 30 MPa β 1 = 0.85 - 0.008 (f c ' - 30) untuk f c ' > 30 MPa Faktor distribusi tegangan, β 1 = 0.85 Luas tulangan total, A s = n * p / 4 * D 2 = 3217 mm 2 Jarak antara tulangan, x = ( h - 2*d s ) / 4 = 83.500 mm Rasio tulangan, r = A s / A g = 1.59% Faktor reduksi kekuatan, f = 0.65 untuk P n ≥ 0.1 * fc' * b * h Untuk : 0 ≤ P n ≤ 0.1 * f c ' * b * h f = 0.80 untuk P n = 0 f = 0.65 + 0.15 * ( P no - P n ) / P no No Luas masing-masing tulangan Jarak tulangan thd. sisi beton Pada kondisi tekan aksial sentris (M no = 0) : 1 A s1 = 5/16 * A s = 1005 mm 2 d 1 = 4*x + d s = 392 mm P no = 0.80*[ 0.85*f c ' *b*h + A s *(f y - 0.85*f c ')]*10 -3 2 A s2 = 2/16 * A s = 402 mm 2 d 2 = 3*x + d s = 309 mm P no = 4378 kN 3 A s3 = 2/16 * A s = 402 mm 2 d 3 = 2*x + d s = 225 mm 0.1 * f c ' * b * h *10 -3 = 504.23 kN
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Transcript of Excel Perhitungan Beton 4
ANALISIS KEKUATAN KOLOM BETON BERTULANG
DENGAN DIAGRAM INTERAKSI
[C]2010 : M. Noer Ilham
KODE KOLOM K1
INPUT DATA KOLOM
Kuat tekan beton, fc' = 24.9 MPa
Tegangan leleh baja, fy = 390 MPa
Lebar kolom, b = 450 mm
Tinggi kolom, h = 450 mm
Tebal brutto selimut beton, ds = 58 mm
Jumlah tulangan, n = 16 buah
Diameter tulangan, D = 16 mm
PERHITUNGAN DIAGRAM INTERAKSI
Modulus elastis baja, Es = 2.E+05 MPa
β1 = 0.85 untuk fc' 30 MPa
β1 = 0.85 - 0.008 (fc' - 30) untuk fc' > 30 MPa
Faktor distribusi tegangan, β1 = 0.85
Luas tulangan total, As = n * p / 4 * D2 = 3217 mm
2
Jarak antara tulangan, x = ( h - 2*ds ) / 4 = 83.500 mm
Rasio tulangan, r = As / Ag = 1.59%
Faktor reduksi kekuatan,
f = 0.65 untuk Pn ≥ 0.1 * fc' * b * h Untuk : 0 ≤ Pn ≤ 0.1 * fc' * b * h
f = 0.80 untuk Pn = 0 f = 0.65 + 0.15 * ( Pno - Pn ) / Pno
No Luas masing-masing tulangan Jarak tulangan thd. sisi beton Pada kondisi tekan aksial sentris (Mno = 0) :
1 As1 = 5/16 * As = 1005 mm2
d1 = 4*x + ds = 392 mm Pno = 0.80*[ 0.85*fc' *b*h + As*(fy - 0.85*fc')]*10-3
2 As2 = 2/16 * As = 402 mm2
d2 = 3*x + ds = 309 mm Pno = 4378 kN
3 As3 = 2/16 * As = 402 mm2
d3 = 2*x + ds = 225 mm 0.1 * fc' * b * h *10-3
= 504.23 kN
4 As4 = 2/16 * As = 402 mm2
d4 = x + ds = 142 mm Pada kondisi balance :
5 As5 = 5/16 * As = 1005 mm2
d5 = ds = 58 mm c = cb = 600 / (600 + fy) * d1 = 237.58 mm
As = 3217 mm2
Pada kondisi garis netral terletak pada jarak c dari sisi beton tekan terluar :
Regangan pada masing-masing baja tulangan : εsi = 0.003 * ( c - di ) / c
Tegangan pada masing-masing baja tulangan :
Untuk | εsi | < fy / Es maka : fsi = esi* Es
Untuk | εsi | fy / Es maka : fsi =| εsi | / esi* fy
Jumlah interval jarak grs netral = 125 → Dc = 3.6000
URAIAN PERHITUNGAN PERSAMAAN UNIT
Gaya-gaya internal pada masing-masing baja tulangan : Fsi = Asi * fsi * 10-3
kN
Resultan gaya internal baja tulangan : Cs = [ S Fsi ]*10-3
kN
Momen akibat gaya internal masing-masing baja tulangan : Msi = Fsi*(h/2 - di) kNmm
Ms = S Msi kNmm
Tinggi blok tegangan tekan beton, a = β1 * c mm
Gaya internal pada beton tekan : Cc = 0.85 * fc' * b * a * 10-3
kN
Momen akibat gaya internal tekan beton : Mc = Cc * (h - a) / 2 kNmm
Gaya aksial nominal : Pn = Cs + Cc kN
Momen nominal : Mn = (Mc + Ms)*10-3
kNm
Gaya aksial rencana : Pu = f * Pn kN
Momen rencana : Mu = f * Mn kNm
c εs1 εs2 εs3 εs4 εs5 fs1 fs2 fs3 fs4 fs5 Fs1 Fs2 Fs3 Fs4 Fs5 Cs
mm MPa MPa MPa MPa MPa kN kN kN kN kN kN
KONDISI TEKAN AKSIAL SENTRIS
472.50 0.00051 0.00104 0.00157 0.00210 0.00263 102.222 208.254 314.286 390.000 390.000 102.765 83.744 126.382 156.828 392.071 861.790
468.90 0.00049 0.00103 0.00156 0.00209 0.00263 98.401 205.246 312.092 390.000 390.000 98.923 82.534 125.500 156.828 392.071 855.856
465.30 0.00047 0.00101 0.00155 0.00209 0.00263 94.520 202.192 309.865 390.000 390.000 95.022 81.306 124.604 156.828 392.071 849.831
461.70 0.00045 0.00100 0.00154 0.00208 0.00262 90.578 199.090 307.602 390.000 390.000 91.059 80.059 123.694 156.828 392.071 843.712
458.10 0.00043 0.00098 0.00153 0.00207 0.00262 86.575 195.940 305.305 390.000 390.000 87.035 78.792 122.770 156.828 392.071 837.496
454.50 0.00041 0.00096 0.00151 0.00207 0.00262 82.508 192.739 302.970 390.000 390.000 82.946 77.505 121.832 156.828 392.071 831.182
450.90 0.00039 0.00095 0.00150 0.00206 0.00261 78.377 189.488 300.599 390.000 390.000 78.793 76.198 120.878 156.828 392.071 824.767
447.30 0.00037 0.00093 0.00149 0.00205 0.00261 74.178 186.184 298.189 390.000 390.000 74.572 74.869 119.909 156.828 392.071 818.249
443.70 0.00035 0.00091 0.00148 0.00204 0.00261 69.912 182.826 295.740 390.000 390.000 70.283 73.519 118.924 156.828 392.071 811.625
440.10 0.00033 0.00090 0.00147 0.00204 0.00260 65.576 179.414 293.252 390.000 390.000 65.924 72.147 117.923 156.828 392.071 804.893
436.50 0.00031 0.00088 0.00145 0.00203 0.00260 61.168 175.945 290.722 390.000 390.000 61.493 70.752 116.906 156.828 392.071 798.050
432.90 0.00028 0.00086 0.00144 0.00202 0.00260 56.687 172.419 288.150 390.000 390.000 56.988 69.334 115.872 156.828 392.071 791.093
429.30 0.00026 0.00084 0.00143 0.00201 0.00259 52.131 168.833 285.535 390.000 390.000 52.408 67.892 114.820 156.828 392.071 784.019
425.70 0.00024 0.00083 0.00141 0.00200 0.00259 47.498 165.187 282.875 390.000 390.000 47.750 66.426 113.751 156.828 392.071 776.826
422.10 0.00021 0.00081 0.00140 0.00199 0.00259 42.786 161.478 280.171 390.000 390.000 43.013 64.934 112.663 156.828 392.071 769.510
418.50 0.00019 0.00079 0.00139 0.00199 0.00258 37.993 157.706 277.419 390.000 390.000 38.195 63.417 111.557 156.828 392.071 762.068
414.90 0.00017 0.00077 0.00137 0.00198 0.00258 33.116 153.868 274.620 390.000 390.000 33.292 61.874 110.431 156.828 392.071 754.497
411.30 0.00014 0.00075 0.00136 0.00197 0.00258 28.155 149.964 271.772 390.000 390.000 28.304 60.304 109.286 156.828 392.071 746.793
407.70 0.00012 0.00073 0.00134 0.00196 0.00257 23.105 145.990 268.874 390.000 390.000 23.228 58.706 108.121 156.828 392.071 738.954
404.10 0.00009 0.00071 0.00133 0.00195 0.00257 17.966 141.945 265.924 389.903 390.000 18.061 57.079 106.934 156.789 392.071 730.935
400.50 0.00006 0.00069 0.00131 0.00194 0.00257 12.734 137.828 262.921 388.015 390.000 12.802 55.424 105.727 156.030 392.071 722.053
396.90 0.00004 0.00067 0.00130 0.00193 0.00256 7.407 133.636 259.864 386.092 390.000 7.447 53.738 104.497 155.257 392.071 713.010
393.30 0.00001 0.00065 0.00128 0.00192 0.00256 1.983 129.367 256.751 384.134 390.000 1.994 52.022 103.246 154.470 392.071 703.801
389.70 -0.00002 0.00063 0.00127 0.00191 0.00255 -3.541 125.019 253.580 382.140 390.000 -3.560 50.273 101.970 153.668 392.071 694.422
386.10 -0.00005 0.00060 0.00125 0.00190 0.00255 -9.169 120.591 250.350 380.109 390.000 -9.217 48.492 100.672 152.851 392.071 684.868
382.50 -0.00007 0.00058 0.00124 0.00189 0.00255 -14.902 116.078 247.059 378.039 390.000 -14.981 46.678 99.348 152.019 392.071 675.134
378.90 -0.00010 0.00056 0.00122 0.00188 0.00254 -20.744 111.481 243.705 375.930 390.000 -20.854 44.829 98.000 151.171 392.071 665.216
375.30 -0.00013 0.00053 0.00120 0.00187 0.00254 -26.699 106.795 240.288 373.781 390.000 -26.840 42.945 96.625 150.306 392.071 655.107
371.70 -0.00016 0.00051 0.00118 0.00186 0.00253 -32.768 102.018 236.804 371.590 390.000 -32.942 41.024 95.224 149.425 392.071 644.802
368.10 -0.00019 0.00049 0.00117 0.00185 0.00253 -38.957 97.148 233.252 369.356 390.000 -39.164 39.065 93.796 148.527 392.071 634.295
364.50 -0.00023 0.00046 0.00115 0.00184 0.00252 -45.267 92.181 229.630 367.078 390.000 -45.508 37.068 92.340 147.611 392.071 623.582
360.90 -0.00026 0.00044 0.00113 0.00182 0.00252 -51.704 87.116 225.935 364.755 390.000 -51.979 35.031 90.854 146.677 392.071 612.654
357.30 -0.00029 0.00041 0.00111 0.00181 0.00251 -58.270 81.948 222.166 362.385 390.000 -58.580 32.953 89.338 145.723 392.071 601.506
353.70 -0.00032 0.00038 0.00109 0.00180 0.00251 -64.970 76.675 218.321 359.966 390.000 -65.315 30.833 87.792 144.751 392.071 590.131
350.10 -0.00036 0.00036 0.00107 0.00179 0.00250 -71.808 71.294 214.396 357.498 390.000 -72.189 28.669 86.214 143.758 392.071 578.523
346.50 -0.00039 0.00033 0.00105 0.00177 0.00250 -78.788 65.801 210.390 354.978 390.000 -79.206 26.460 84.603 142.745 392.071 566.673
342.90 -0.00043 0.00030 0.00103 0.00176 0.00249 -85.914 60.192 206.299 352.406 390.000 -86.370 24.205 82.958 141.711 392.071 554.574
339.30 -0.00047 0.00027 0.00101 0.00175 0.00249 -93.192 54.465 202.122 349.779 390.000 -93.687 21.902 81.278 140.654 392.071 542.218
335.70 -0.00050 0.00024 0.00099 0.00174 0.00248 -100.626 48.615 197.855 347.096 390.000 -101.160 19.549 79.562 139.575 392.071 529.598
332.10 -0.00054 0.00021 0.00097 0.00172 0.00248 -108.220 42.638 193.496 344.354 390.000 -108.795 17.146 77.809 138.473 392.071 516.704
328.50 -0.00058 0.00018 0.00095 0.00171 0.00247 -115.982 36.530 189.041 341.553 390.000 -116.598 14.689 76.018 137.346 392.071 503.527
324.90 -0.00062 0.00015 0.00092 0.00169 0.00246 -123.915 30.286 184.488 338.689 390.000 -124.573 12.179 74.187 136.195 392.071 490.058
321.30 -0.00066 0.00012 0.00090 0.00168 0.00246 -132.026 23.903 179.832 335.761 390.000 -132.727 9.612 72.315 135.017 392.071 476.288
317.70 -0.00070 0.00009 0.00088 0.00166 0.00245 -140.321 17.375 175.071 332.767 390.000 -141.066 6.987 70.400 133.813 392.071 462.205
314.10 -0.00074 0.00005 0.00085 0.00165 0.00245 -148.806 10.697 170.201 329.704 390.000 -149.596 4.302 68.442 132.582 392.071 447.800
310.50 -0.00079 0.00002 0.00083 0.00163 0.00244 -157.488 3.865 165.217 326.570 390.000 -158.324 1.554 66.438 131.322 392.071 433.060
306.90 -0.00083 -0.00002 0.00080 0.00162 0.00243 -166.373 -3.128 160.117 323.363 390.000 -167.257 -1.258 64.387 130.032 392.071 417.975
303.30 -0.00088 -0.00005 0.00077 0.00160 0.00243 -175.470 -10.287 154.896 320.079 390.000 -176.402 -4.137 62.287 128.711 392.071 402.532
299.70 -0.00092 -0.00009 0.00075 0.00158 0.00242 -184.785 -17.618 149.550 316.717 390.000 -185.766 -7.084 60.137 127.359 392.071 386.717
296.10 -0.00097 -0.00013 0.00072 0.00157 0.00241 -194.326 -25.127 144.073 313.273 390.000 -195.358 -10.104 57.935 125.974 392.071 370.518
292.50 -0.00102 -0.00016 0.00069 0.00155 0.00241 -204.103 -32.821 138.462 309.744 390.000 -205.186 -13.198 55.679 124.555 392.071 353.921
288.90 -0.00107 -0.00020 0.00066 0.00153 0.00240 -214.123 -40.706 132.710 306.127 390.000 -215.259 -16.369 53.366 123.101 392.071 336.909
285.30 -0.00112 -0.00024 0.00063 0.00151 0.00239 -224.395 -48.791 126.814 302.419 390.000 -225.587 -19.620 50.995 121.610 392.071 319.469
281.70 -0.00117 -0.00029 0.00060 0.00149 0.00238 -234.931 -57.082 120.767 298.616 390.000 -236.178 -22.954 48.563 120.080 392.071 301.582
278.10 -0.00123 -0.00033 0.00057 0.00147 0.00237 -245.739 -65.588 114.563 294.714 390.000 -247.044 -26.374 46.069 118.512 392.071 283.233
274.50 -0.00128 -0.00037 0.00054 0.00145 0.00237 -256.831 -74.317 108.197 290.710 390.000 -258.194 -29.885 43.508 116.902 392.071 264.402
270.90 -0.00134 -0.00042 0.00051 0.00143 0.00236 -268.217 -83.278 101.661 286.600 390.000 -269.641 -33.488 40.880 115.249 392.071 245.071
267.30 -0.00140 -0.00046 0.00047 0.00141 0.00235 -279.910 -92.480 94.949 282.379 390.000 -281.396 -37.189 38.181 113.551 392.071 225.219
263.70 -0.00146 -0.00051 0.00044 0.00139 0.00234 -291.923 -101.934 88.055 278.043 390.000 -293.473 -40.990 35.409 111.808 392.071 204.825
260.10 -0.00152 -0.00056 0.00040 0.00137 0.00233 -304.268 -111.649 80.969 273.587 390.000 -305.883 -44.897 32.560 110.016 392.071 183.866
256.50 -0.00158 -0.00061 0.00037 0.00135 0.00232 -316.959 -121.637 73.684 269.006 390.000 -318.642 -48.913 29.630 108.174 392.071 162.319
252.90 -0.00165 -0.00066 0.00033 0.00132 0.00231 -330.012 -131.910 66.192 264.294 390.000 -331.764 -53.044 26.617 106.279 392.071 140.159
249.30 -0.00172 -0.00071 0.00029 0.00130 0.00230 -343.442 -142.479 58.484 259.446 390.000 -345.265 -57.294 23.518 104.330 392.071 117.359
245.70 -0.00179 -0.00077 0.00025 0.00127 0.00229 -357.265 -153.358 50.549 254.457 390.000 -359.162 -61.669 20.327 102.323 392.071 93.890
242.10 -0.00186 -0.00082 0.00021 0.00125 0.00228 -371.499 -164.560 42.379 249.318 390.000 -373.472 -66.174 17.042 100.257 392.071 69.724
238.50 -0.00193 -0.00088 0.00017 0.00122 0.00227 -386.164 -176.101 33.962 244.025 390.000 -388.214 -70.814 13.657 98.128 392.071 44.828
234.90 -0.00201 -0.00094 0.00013 0.00119 0.00226 -390.000 -187.995 25.287 238.570 390.000 -392.071 -75.597 10.169 95.935 392.071 30.506
231.30 -0.00208 -0.00100 0.00008 0.00116 0.00225 -390.000 -200.259 16.342 232.944 390.000 -392.071 -80.529 6.572 93.672 392.071 19.715
227.70 -0.00216 -0.00106 0.00004 0.00114 0.00224 -390.000 -212.912 7.115 227.141 390.000 -392.071 -85.617 2.861 91.339 392.071 8.583
224.10 -0.00225 -0.00113 -0.00001 0.00111 0.00222 -390.000 -225.971 -2.410 221.151 390.000 -392.071 -90.868 -0.969 88.930 392.071 -2.907
220.50 -0.00233 -0.00120 -0.00006 0.00107 0.00221 -390.000 -239.456 -12.245 214.966 390.000 -392.071 -96.291 -4.924 86.443 392.071 -14.772
216.90 -0.00242 -0.00127 -0.00011 0.00104 0.00220 -390.000 -253.389 -22.407 208.575 390.000 -392.071 -101.894 -9.010 83.873 392.071 -27.031
213.30 -0.00251 -0.00134 -0.00016 0.00101 0.00218 -390.000 -267.792 -32.911 201.969 390.000 -392.071 -107.685 -13.234 81.217 392.071 -39.703
209.70 -0.00261 -0.00141 -0.00022 0.00098 0.00217 -390.000 -282.690 -43.777 195.136 390.000 -392.071 -113.676 -17.604 78.469 392.071 -52.811
206.10 -0.00271 -0.00149 -0.00028 0.00094 0.00216 -390.000 -298.108 -55.022 188.064 390.000 -392.071 -119.876 -22.126 75.625 392.071 -66.377
202.50 -0.00281 -0.00157 -0.00033 0.00090 0.00214 -390.000 -314.074 -66.667 180.741 390.000 -392.071 -126.297 -26.808 72.680 392.071 -80.425
198.90 -0.00291 -0.00165 -0.00039 0.00087 0.00213 -390.000 -330.618 -78.733 173.152 390.000 -392.071 -132.950 -31.660 69.629 392.071 -94.981
195.30 -0.00302 -0.00174 -0.00046 0.00083 0.00211 -390.000 -347.773 -91.244 165.284 390.000 -392.071 -139.848 -36.691 66.465 392.071 -110.074
191.70 -0.00313 -0.00183 -0.00052 0.00079 0.00209 -390.000 -365.571 -104.225 157.121 390.000 -392.071 -147.005 -41.912 63.182 392.071 -125.735
188.10 -0.00325 -0.00192 -0.00059 0.00074 0.00207 -390.000 -384.051 -117.703 148.644 390.000 -392.071 -154.436 -47.331 59.773 392.071 -141.994
184.50 -0.00337 -0.00202 -0.00066 0.00070 0.00206 -390.000 -390.000 -131.707 139.837 390.000 -392.071 -156.828 -52.963 56.232 392.071 -153.559
180.90 -0.00350 -0.00212 -0.00073 0.00065 0.00204 -390.000 -390.000 -146.269 130.680 390.000 -392.071 -156.828 -58.818 52.550 392.071 -163.097
177.30 -0.00363 -0.00222 -0.00081 0.00061 0.00202 -390.000 -390.000 -161.421 121.151 390.000 -392.071 -156.828 -64.911 48.718 392.071 -173.022
173.70 -0.00377 -0.00233 -0.00089 0.00056 0.00200 -390.000 -390.000 -177.202 111.226 390.000 -392.071 -156.828 -71.257 44.727 392.071 -183.359
170.10 -0.00391 -0.00244 -0.00097 0.00050 0.00198 -390.000 -390.000 -193.651 100.882 390.000 -392.071 -156.828 -77.872 40.567 392.071 -194.133
166.50 -0.00406 -0.00256 -0.00105 0.00045 0.00195 -390.000 -390.000 -210.811 90.090 390.000 -392.071 -156.828 -84.772 36.227 392.071 -205.373
162.90 -0.00422 -0.00268 -0.00114 0.00039 0.00193 -390.000 -390.000 -228.729 78.821 386.372 -392.071 -156.828 -91.978 31.696 388.424 -220.757
159.30 -0.00438 -0.00281 -0.00124 0.00034 0.00191 -390.000 -390.000 -247.458 67.043 381.544 -392.071 -156.828 -99.509 26.960 383.570 -237.878
155.70 -0.00455 -0.00294 -0.00134 0.00027 0.00188 -390.000 -390.000 -267.052 54.721 376.493 -392.071 -156.828 -107.388 22.004 378.492 -255.790
152.10 -0.00473 -0.00308 -0.00144 0.00021 0.00186 -390.000 -390.000 -287.574 41.815 371.203 -392.071 -156.828 -115.640 16.815 373.174 -274.551
148.50 -0.00492 -0.00323 -0.00155 0.00014 0.00183 -390.000 -390.000 -309.091 28.283 365.657 -392.071 -156.828 -124.293 11.373 367.598 -294.221
144.90 -0.00512 -0.00339 -0.00166 0.00007 0.00180 -390.000 -390.000 -331.677 14.079 359.834 -392.071 -156.828 -133.375 5.661 361.745 -314.868
141.30 -0.00532 -0.00355 -0.00178 0.00000 0.00177 -390.000 -390.000 -355.414 -0.849 353.715 -392.071 -156.828 -142.920 -0.342 355.594 -336.567
137.70 -0.00554 -0.00372 -0.00190 -0.00008 0.00174 -390.000 -390.000 -380.392 -16.558 347.277 -392.071 -156.828 -152.965 -6.658 349.121 -359.401
134.10 -0.00577 -0.00390 -0.00203 -0.00017 0.00170 -390.000 -390.000 -390.000 -33.110 340.492 -392.071 -156.828 -156.828 -13.314 342.300 -376.741
130.50 -0.00601 -0.00409 -0.00217 -0.00025 0.00167 -390.000 -390.000 -390.000 -50.575 333.333 -392.071 -156.828 -156.828 -20.337 335.103 -390.961
126.90 -0.00627 -0.00429 -0.00232 -0.00035 0.00163 -390.000 -390.000 -390.000 -69.031 325.768 -392.071 -156.828 -156.828 -27.759 327.498 -405.988
123.30 -0.00654 -0.00451 -0.00247 -0.00044 0.00159 -390.000 -390.000 -390.000 -88.564 317.762 -392.071 -156.828 -156.828 -35.614 319.449 -421.893
119.70 -0.00682 -0.00473 -0.00264 -0.00055 0.00155 -390.000 -390.000 -390.000 -109.273 309.273 -392.071 -156.828 -156.828 -43.941 310.915 -438.753
116.10 -0.00713 -0.00497 -0.00281 -0.00066 0.00150 -390.000 -390.000 -390.000 -131.266 300.258 -392.071 -156.828 -156.828 -52.785 301.853 -456.660
112.50 -0.00745 -0.00523 -0.00300 -0.00077 0.00145 -390.000 -390.000 -390.000 -154.667 290.667 -392.071 -156.828 -156.828 -62.195 292.210 -475.713
108.90 -0.00780 -0.00550 -0.00320 -0.00090 0.00140 -390.000 -390.000 -390.000 -179.614 280.441 -392.071 -156.828 -156.828 -72.227 281.930 -496.025
105.30 -0.00817 -0.00579 -0.00341 -0.00103 0.00135 -390.000 -390.000 -390.000 -206.268 269.516 -392.071 -156.828 -156.828 -82.945 270.947 -517.726
91.00 -0.00992 -0.00717 -0.00442 -0.00166 0.00109 -390.000 -390.000 -390.000 -332.967 217.582 -392.071 -156.828 -156.828 -133.894 218.738 -620.884
KONDISI TEKAN AKSIAL KECIL : Pn = 0.1 * fc' * b * h
KONDISI BALANCE
237.58 -0.00195 -0.00090 0.00016 0.00121 0.00227 -390.000 -179.120 31.760 242.640 390.000 -392.071 -72.028 12.772 97.571 392.071 38.315
b = 450 mm
h = 450 mm
16 D 16
fc' = 25 MPa
fy = 390 MPa
Pu Mu
(kN) (kNm)
955.279 102.6727
944.984 100.5814
934.689 100.3853
914.392 100.3189
909.936 99.0937
904.098 98.9633
899.641 95.5263
893.803 95.1587
889.346 94.9476
ANALISIS KOLOM DENGAN DIAGRAM INTERAKSI 859.028 94.8465
0
100
200
300
400
500
600
700
800
900
1000
1100
1200
1300
1400
1500
1600
1700
1800
1900
2000
2100
2200
2300
2400
2500
2600
2700
2800
2900
3000
0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270
f.P
n (
kN
)
f.Mn (kNm)
h
b
b = 450 mm
h = 450 mm
16 D 16
fc' = 25 MPa
fy = 390 MPa
Pu Mu
(kN) (kNm)
955.279 102.673
944.984 100.581
934.689 100.385
914.392 100.319
909.936 99.094
904.098 98.963
899.641 95.526
893.803 95.159
889.346 94.948
859.028 94.847Keterangan : Aman
Digunakan
Ms1 Ms2 Ms3 Ms4 Ms5 Ms a Cc Mc Pn Mn Ф Ф.Pn Ф.Mn
kNmm kNmm kNmm kNmm kNmm kNmm mm kN kNmm kN kNm kN kNm
4377.96 0.00 0.65 2845.67 0.00
-17161.75 -6992.61 0.00 13095.16 65475.82 54416.61 401.63 3825.18 92521.47 4377.96 146.94 0.65 2845.67 95.51
-16520.14 -6891.63 0.00 13095.16 65475.82 55159.22 398.57 3796.03 97624.47 4377.96 152.78 0.65 2845.67 99.31
-15868.60 -6789.07 0.00 13095.16 65475.82 55913.31 395.51 3766.89 102638.29 4377.96 158.55 0.65 2845.67 103.06
-15206.89 -6684.92 0.00 13095.16 65475.82 56679.16 392.45 3737.74 107562.94 4377.96 164.24 0.65 2845.67 106.76
-14534.79 -6579.14 0.00 13095.16 65475.82 57457.06 389.39 3708.60 112398.40 4377.96 169.86 0.65 2845.67 110.41
-13852.04 -6471.67 0.00 13095.16 65475.82 58247.27 386.33 3679.46 117144.68 4377.96 175.39 0.65 2845.67 114.00
-13158.39 -6362.49 0.00 13095.16 65475.82 59050.10 383.27 3650.31 121801.77 4377.96 180.85 0.65 2845.67 117.55
-12453.57 -6251.56 0.00 13095.16 65475.82 59865.86 380.21 3621.17 126369.69 4377.96 186.24 0.65 2845.67 121.05
-11737.31 -6138.82 0.00 13095.16 65475.82 60694.85 377.15 3592.02 130848.43 4377.96 191.54 0.65 2845.67 124.50
-11009.34 -6024.24 0.00 13095.16 65475.82 61537.40 374.09 3562.88 135237.98 4367.77 196.78 0.65 2839.05 127.90
-10269.36 -5907.77 0.00 13095.16 65475.82 62393.86 371.03 3533.73 139538.36 4331.78 201.93 0.65 2815.66 131.26
-9517.07 -5789.36 0.00 13095.16 65475.82 63264.55 367.97 3504.59 143749.55 4295.68 207.01 0.65 2792.19 134.56
-8752.17 -5668.96 0.00 13095.16 65475.82 64149.85 364.91 3475.45 147871.56 4259.47 212.02 0.65 2768.65 137.81
-7974.32 -5546.53 0.00 13095.16 65475.82 65050.13 361.85 3446.30 151904.39 4223.13 216.95 0.65 2745.03 141.02
-7183.21 -5422.01 0.00 13095.16 65475.82 65965.76 358.79 3417.16 155848.04 4186.67 221.81 0.65 2721.33 144.18
-6378.49 -5295.35 0.00 13095.16 65475.82 66897.14 355.73 3388.01 159702.50 4150.08 226.60 0.65 2697.55 147.29
-5559.81 -5166.49 0.00 13095.16 65475.82 67844.68 352.67 3358.87 163467.79 4113.37 231.31 0.65 2673.69 150.35
-4726.79 -5035.38 0.00 13095.16 65475.82 68808.82 349.61 3329.73 167143.89 4076.52 235.95 0.65 2649.74 153.37
-3879.06 -4901.95 0.00 13095.16 65475.82 69789.97 346.55 3300.58 170730.81 4039.53 240.52 0.65 2625.70 156.34
-3016.23 -4766.14 0.00 13091.92 65475.82 70785.37 343.49 3271.44 174228.56 4002.37 245.01 0.65 2601.54 159.26
-2137.88 -4627.89 0.00 13028.51 65475.82 71738.56 340.43 3242.29 177637.12 3964.35 249.38 0.65 2576.82 162.09
-1243.61 -4487.13 0.00 12963.95 65475.82 72709.03 337.37 3213.15 180956.50 3926.16 253.67 0.65 2552.00 164.88
-332.96 -4343.80 0.00 12898.21 65475.82 73697.27 334.31 3184.00 184186.69 3887.81 257.88 0.65 2527.07 167.62
594.52 -4197.81 0.00 12831.25 65475.82 74703.77 331.25 3154.86 187327.71 3849.28 262.03 0.65 2502.03 170.32
1539.29 -4049.11 0.00 12763.04 65475.82 75729.04 328.19 3125.72 190379.55 3810.58 266.11 0.65 2476.88 172.97
2501.84 -3897.61 0.00 12693.55 65475.82 76773.61 325.12 3096.57 193342.20 3771.71 270.12 0.65 2451.61 175.58
3482.69 -3743.22 0.00 12622.74 65475.82 77838.02 322.06 3067.43 196215.67 3732.64 274.05 0.65 2426.22 178.13
4482.35 -3585.88 0.00 12550.57 65475.82 78922.86 319.00 3038.28 198999.97 3693.39 277.92 0.65 2400.70 180.65
5501.37 -3425.49 0.00 12477.00 65475.82 80028.71 315.94 3009.14 201695.08 3653.94 281.72 0.65 2375.06 183.12
6540.33 -3261.96 0.00 12402.00 65475.82 81156.19 312.88 2979.99 204301.00 3614.29 285.46 0.65 2349.29 185.55
7599.81 -3095.20 0.00 12325.51 65475.82 82305.94 309.82 2950.85 206817.75 3574.43 289.12 0.65 2323.38 187.93
8680.43 -2925.11 0.00 12247.50 65475.82 83478.63 306.76 2921.71 209245.32 3534.36 292.72 0.65 2297.33 190.27
9782.82 -2751.59 0.00 12167.91 65475.82 84674.95 303.70 2892.56 211583.70 3494.07 296.26 0.65 2271.14 192.57
10907.65 -2574.55 0.00 12086.70 65475.82 85895.63 300.64 2863.42 213832.91 3453.55 299.73 0.65 2244.81 194.82
12055.62 -2393.86 0.00 12003.83 65475.82 87141.40 297.58 2834.27 215992.93 3412.80 303.13 0.65 2218.32 197.04
13227.44 -2209.42 0.00 11919.23 65475.82 88413.07 294.52 2805.13 218063.77 3371.80 306.48 0.65 2191.67 199.21
14423.86 -2021.10 0.00 11832.86 65475.82 89711.43 291.46 2775.99 220045.43 3330.56 309.76 0.65 2164.86 201.34
15645.68 -1828.79 0.00 11744.65 65475.82 91037.35 288.40 2746.84 221937.91 3289.06 312.98 0.65 2137.89 203.43
16893.69 -1632.36 0.00 11654.55 65475.82 92391.70 285.34 2717.70 223741.21 3247.29 316.13 0.65 2110.74 205.49
18168.77 -1431.66 0.00 11562.50 65475.82 93775.42 282.28 2688.55 225455.33 3205.26 319.23 0.65 2083.42 207.50
19471.79 -1226.57 0.00 11468.43 65475.82 95189.47 279.22 2659.41 227080.26 3162.94 322.27 0.65 2055.91 209.48
20803.69 -1016.93 0.00 11372.27 65475.82 96634.85 276.16 2630.26 228616.01 3120.32 325.25 0.65 2028.21 211.41
22165.44 -802.60 0.00 11273.96 65475.82 98112.62 273.10 2601.12 230062.59 3077.41 328.18 0.65 2000.32 213.31
23558.04 -583.40 0.00 11173.42 65475.82 99623.88 270.04 2571.98 231419.98 3034.18 331.04 0.65 1972.22 215.18
24982.57 -359.18 0.00 11070.58 65475.82 101169.78 266.98 2542.83 232688.19 2990.63 333.86 0.65 1943.91 217.01
26440.13 -129.77 0.00 10965.35 65475.82 102751.53 263.92 2513.69 233867.22 2946.75 336.62 0.65 1915.39 218.80
27931.88 105.03 0.00 10857.66 65475.82 104370.39 260.86 2484.54 234957.07 2902.52 339.33 0.65 1886.64 220.56
29459.05 345.40 0.00 10747.41 65475.82 106027.68 257.80 2455.40 235957.73 2857.93 341.99 0.65 1857.66 222.29
31022.91 591.55 0.00 10634.51 65475.82 107724.79 254.74 2426.26 236869.22 2812.97 344.59 0.65 1828.43 223.99
32624.79 843.69 0.00 10518.86 65475.82 109463.16 251.68 2397.11 237691.52 2767.63 347.15 0.65 1798.96 225.65
34266.11 1102.03 0.00 10400.37 65475.82 111244.32 248.62 2367.97 238424.64 2721.89 349.67 0.65 1769.23 227.28
35948.33 1366.80 0.00 10278.92 65475.82 113069.87 245.56 2338.82 239068.58 2675.73 352.14 0.65 1739.23 228.89
37673.00 1638.26 0.00 10154.41 65475.82 114941.49 242.50 2309.68 239623.34 2629.15 354.56 0.65 1708.95 230.47
39441.76 1916.66 0.00 10026.72 65475.82 116860.95 239.44 2280.53 240088.92 2582.12 356.95 0.65 1678.38 232.02
41256.30 2202.27 0.00 9895.72 65475.82 118830.11 236.38 2251.39 240465.32 2534.62 359.30 0.65 1647.50 233.54
43118.45 2495.37 0.00 9761.28 65475.82 120850.91 233.32 2222.25 240752.54 2486.65 361.60 0.65 1616.32 235.04
45030.08 2796.25 0.00 9623.27 65475.82 122925.42 230.26 2193.10 240950.57 2438.17 363.88 0.65 1584.81 236.52
46993.21 3105.24 0.00 9481.55 65475.82 125055.82 227.20 2163.96 241059.42 2389.18 366.12 0.65 1552.96 237.97
49009.93 3422.67 0.00 9335.95 65475.82 127244.38 224.14 2134.81 241079.10 2339.64 368.32 0.65 1520.76 239.41
51082.48 3748.89 0.00 9186.33 65475.82 129493.52 221.08 2105.67 241009.59 2289.53 370.50 0.65 1488.20 240.83
53213.21 4084.26 0.00 9032.50 65475.82 131805.80 218.02 2076.52 240850.90 2238.84 372.66 0.65 1455.25 242.23
55404.61 4429.18 0.00 8874.30 65475.82 134183.90 214.96 2047.38 240603.03 2187.54 374.79 0.65 1421.90 243.61
57659.29 4784.06 0.00 8711.52 65475.82 136630.69 211.90 2018.24 240265.97 2135.59 376.90 0.65 1388.14 244.98
59980.04 5149.35 0.00 8543.98 65475.82 139149.18 208.84 1989.09 239839.74 2082.98 378.99 0.65 1353.94 246.34
62369.81 5525.49 0.00 8371.45 65475.82 141742.57 205.78 1959.95 239324.32 2029.67 381.07 0.65 1319.29 247.69
64831.72 5912.99 0.00 8193.72 65475.82 144414.25 202.72 1930.80 238719.73 1975.63 383.13 0.65 1284.16 249.04
65475.82 6312.37 0.00 8010.53 65475.82 145274.54 199.66 1901.66 238025.95 1932.17 383.30 0.65 1255.91 249.15
65475.82 6724.18 0.00 7821.65 65475.82 145497.46 196.60 1872.52 237242.99 1892.23 382.74 0.65 1229.95 248.78
65475.82 7149.01 0.00 7626.79 65475.82 145727.44 193.54 1843.37 236370.85 1851.95 382.10 0.65 1203.77 248.36
65475.82 7587.49 0.00 7425.67 65475.82 145964.80 190.48 1814.23 235409.53 1811.32 381.37 0.65 1177.36 247.89
65475.82 8040.29 0.00 7217.99 65475.82 146209.91 187.42 1785.08 234359.03 1770.31 380.57 0.65 1150.70 247.37
65475.82 8508.12 0.00 7003.41 65475.82 146463.16 184.36 1755.94 233219.34 1728.91 379.68 0.65 1123.79 246.79
65475.82 8991.74 0.00 6781.58 65475.82 146724.96 181.30 1726.79 231990.48 1687.09 378.72 0.65 1096.61 246.17
65475.82 9491.96 0.00 6552.15 65475.82 146995.74 178.24 1697.65 230672.43 1644.84 377.67 0.65 1069.15 245.48
65475.82 10009.66 0.00 6314.69 65475.82 147275.99 175.18 1668.51 229265.20 1602.13 376.54 0.65 1041.38 244.75
65475.82 10545.77 0.00 6068.79 65475.82 147566.20 172.12 1639.36 227768.79 1558.94 375.33 0.65 1013.31 243.97
65475.82 11101.29 0.00 5814.00 65475.82 147866.92 169.06 1610.22 226183.20 1515.24 374.05 0.65 984.90 243.13
65475.82 11677.28 0.00 5549.80 65475.82 148178.72 166.00 1581.07 224508.43 1471.00 372.69 0.65 956.15 242.25
65475.82 12274.91 0.00 5275.69 65475.82 148502.23 162.94 1551.93 222744.48 1426.19 371.25 0.65 927.03 241.31
65475.82 12895.41 0.00 4991.08 65475.82 148838.13 159.88 1522.78 220891.34 1380.79 369.73 0.65 897.51 240.32
65475.82 13095.16 0.00 4695.37 65475.82 148742.17 156.82 1493.64 218949.03 1340.08 367.69 0.65 871.05 239.00
65475.82 13095.16 0.00 4387.88 65475.82 148434.68 153.76 1464.50 216917.53 1301.40 365.35 0.65 845.91 237.48
65475.82 13095.16 0.00 4067.91 65475.82 148114.71 150.70 1435.35 214796.85 1262.33 362.91 0.65 820.51 235.89
65475.82 13095.16 0.00 3734.68 65475.82 147781.48 147.64 1406.21 212586.99 1222.85 360.37 0.65 794.85 234.24
65475.82 13095.16 0.00 3387.34 65475.82 147434.14 144.58 1377.06 210287.95 1182.93 357.72 0.65 768.90 232.52
65475.82 13095.16 0.00 3024.99 65475.82 147071.78 141.52 1347.92 207899.73 1142.55 354.97 0.65 742.66 230.73
65475.82 13095.16 0.00 2646.61 64866.73 146084.32 138.46 1318.78 205422.33 1098.02 351.51 0.65 713.71 228.48
65475.82 13095.16 0.00 2251.14 64056.21 144878.33 135.40 1289.63 202855.74 1051.75 347.73 0.65 683.64 226.03
65475.82 13095.16 0.00 1837.37 63208.21 143616.57 132.34 1260.49 200199.98 1004.70 343.82 0.65 653.05 223.48
65475.82 13095.16 0.00 1404.02 62320.08 142295.08 129.28 1231.34 197455.03 956.79 339.75 0.65 621.91 220.84
65475.82 13095.16 0.00 949.66 61388.88 140909.52 126.22 1202.20 194620.90 907.98 335.53 0.65 590.19 218.09
65475.82 13095.16 0.00 472.72 60411.41 139455.11 123.16 1173.05 191697.59 858.19 331.15 0.65 557.82 215.25
65475.82 13095.16 0.00 -28.52 59384.13 137926.60 120.10 1143.91 188685.10 807.34 326.61 0.65 524.77 212.30
65475.82 13095.16 0.00 -555.96 58303.14 136318.16 117.04 1114.77 185583.43 755.36 321.90 0.65 490.99 209.24
65475.82 13095.16 0.00 -1111.73 57164.11 134623.36 113.98 1085.62 182392.58 708.88 317.02 0.65 460.77 206.06
65475.82 13095.16 0.00 -1698.16 55962.24 132835.05 110.92 1056.48 179112.54 665.52 311.95 0.65 432.59 202.77
65475.82 13095.16 0.00 -2317.87 54692.17 130945.28 107.86 1027.33 175743.33 621.34 306.69 0.65 403.87 199.35
65475.82 13095.16 0.00 -2973.76 53347.94 128945.16 104.80 998.19 172284.93 576.30 301.23 0.65 374.59 195.80
65475.82 13095.16 0.00 -3669.10 51922.86 126824.74 101.74 969.04 168737.35 530.29 295.56 0.65 344.69 192.12
65475.82 13095.16 0.00 -4407.57 50409.40 124572.81 98.68 939.90 165100.59 483.24 289.67 0.66 317.12 190.10
65475.82 13095.16 0.00 -5193.30 48799.07 122176.76 95.62 910.76 161374.65 435.04 283.55 0.67 291.73 190.14
65475.82 13095.16 0.00 -6030.97 47082.28 119622.29 92.56 881.61 157559.53 385.59 277.18 0.69 264.24 189.95
65475.82 13095.16 0.00 -6925.92 45248.10 116893.16 89.50 852.47 153655.23 334.74 270.55 0.70 234.46 189.50
65475.82 13095.16 0.00 -11180.15 36529.20 103920.03 77.35 736.70 137265.76 115.82 241.19 0.77 88.66 184.64
327.75 0.00
327.75 200.00
0.00 0.00
65475.82 6014.37 0.00 8147.22 65475.82 145113.22 201.94 1923.32 238550.12 1961.64 383.66 0.65 1275.06 249.38
Deskripsi Persamaan Hasil Satuan
Gaya aksial ultimit rencana Pu 955.279 kN
Momen Ultimit Rencana Mu 102.6727 kNm
Mutu Beton f'c 24.9 Mpa
Mutu Baja fys 295 Mpa
lebar kolom b 450 mm
Gaya aksial ultimit rencana Pu 955279 N
Momen Ultimit Rencana Mu 102672700 Nmm
Faktor Reduksi geser Ø 0.6
Panjang Kolom L 3600 mm
Tebal Kolom h 450 mm
Luas Tulangan Longitudinal As 3217 mm^2
Jarak tulangan terhadap sisi luar d' 58 mm
28520.19444 N
392 mm
878472 N
527083.2 N
1.204
1.013532493
1
145056.7831 N
250896.7831 N
150538.0699 N
47533.65741 NVs = (Vu/Ø)-Vc
Tulangan Geser Kolom
Kode Kolom
Vu = Mu/L
d=h-d'
Vcmax = 0.2*f'c*b*d
ØVcmax
β1= 1.4-d/2000
β2=1+Pu/(14*f'c*b*h)
β3
Vuc= β1β2β3*b*d*sqrt(As*f'c/(b*d))
Vc = Vuc + 0.6b*d
ØVc
Untuk Tulangan geser digunakan besi beton
P 10 n 2
Luas Tulangan Geser Av = π/4*D^2*n 157.0796327 mm^2
Jarak Tulangan Geser Sx = Av*fy*d/Vs 382.1437212 mm Dipakai 100 mm
Digunakan P10-100 Kontrol Aman
