CUANTIA Y LA k
5
7/21/2019 CUANTIA Y LA k http://slidepdf.com/reader/full/cuantia-y-la-k 1/5 HUAMANI MAMANI MANUEL fy= 4200 kg/cm2 Ku Ku Ku Ku Ku ( ρ ) ( ρ ) ( ρ ) ( ρ ) ( ρ ) 01 0.0024 8.886 0.0028 10.322 0.0031 11.461 0.0034 12.594 0.0037 13.724 02 0.0025 9.171 0.0030 11.039 0.0035 12.902 0.0035 12.957 0.0040 14.814 03 0.0030 10.939 0.0035 12.820 0.0040 14.692 0.0040 14.763 0.0045 16.623 04 0.0035 12.684 0.0040 14.585 0.0045 16.468 0.0045 16.558 0.0050 18.422 05 0.0040 14.406 0.0045 16.333 0.0050 18.231 0.0050 18.342 0.0055 20.212 06 0.0045 16.107 0.0050 18.064 0.0055 19.980 0.0055 20.115 0.0060 21.992 07 0.0050 17.785 0.0055 19.778 0.0060 21.717 0.0060 21.877 0.0065 23.762 08 0.0055 19.441 0.0060 21.476 0.0065 23.439 0.0065 23.628 0.0070 25.523 09 0.0060 21.074 0.0065 23.157 0.0070 25.149 0.0070 25.367 0.0075 27.275 10 0.0065 22.685 0.0070 24.821 0.0075 26.845 0.0075 27.096 0.0080 29.017 11 0.0070 24.274 0.0075 26.468 0.0080 28.527 0.0080 28.813 0.0085 30.749 12 0.0075 25.841 0.0080 28.099 0.0085 30.196 0.0085 30.519 0.0090 32.472 13 0.0080 27.385 0.0085 29.713 0.0090 31.852 0.0090 32.214 0.0095 34.185 14 0.0085 28.907 0.0090 31.310 0.0095 33.495 0.0095 33.897 0.0100 35.888 15 0.0090 30.407 0.0095 32.891 0.0100 35.124 0.0100 35.570 0.0105 37.582 16 0.0095 31.884 0.0100 34.455 0.0105 36.739 0.0105 37.231 0.0110 39.267 17 0.0100 33.340 0.0105 36.002 0.0110 38.342 0.0110 38.881 0.0115 40.942 18 0.0105 34.772 0.0110 37.532 0.0115 39.931 0.0115 40.521 0.0120 42.607 19 0.0110 36.183 0.0115 39.046 0.0120 41.506 0.0120 42.149 0.0125 44.263 20 0.0115 37.571 0.0120 40.543 0.0125 43.068 0.0125 43.765 0.0130 45.909 21 0.0120 38.937 0.0125 42.023 0.0130 44.617 0.0130 45.371 0.0135 47.546 22 0.0125 40.281 0.0130 43.486 0.0135 46.153 0.0135 46.965 0.0140 49.173 23 0.0130 41.602 0.0135 44.933 0.0140 47.675 0.0140 48.549 0.0145 50.791 24 0.0135 42.901 0.0140 46.363 0.0145 49.183 0.0145 50.121 0.0150 52.399 25 0.0140 44.178 0.0145 47.777 0.0150 50.678 0.0150 51.682 0.0155 53.997 26 0.0145 45.432 0.0150 49.173 0.0155 52.160 0.0155 53.232 0.0160 55.586 27 0.0150 46.664 0.0155 50.553 0.0160 53.629 0.0160 54.771 0.0165 57.166 28 0.0155 47.874 0.0160 51.916 0.0165 55.084 0.0165 56.298 0.0170 58.735 29 0.0160 49.061 0.0165 53.262 0.0170 56.526 0.0170 57.815 0.0175 60.296 30 0.0170 54.592 0.0175 57.954 0.0175 59.320 0.0180 61.846 31 0.0175 55.905 0.0180 59.369 0.0180 60.814 0.0185 63.388 32 0.0180 57.201 0.0185 60.771 0.0185 62.297 0.0190 64.919 33 0.0185 58.481 0.0190 62.159 0.0190 63.769 0.0195 66.441 34 0.0190 59.743 0.0195 63.534 0.0195 65.230 0.0200 67.954 35 0.0195 60.989 0.0200 64.895 0.0200 66.679 0.0205 69.457 36 0.0200 62.219 0.0205 66.243 0.0205 68.118 0.0210 70.950 37 0.0205 63.431 0.0210 67.578 0.0210 69.545 0.0215 72.434 38 0.0210 64.627 0.0215 68.899 0.0215 70.961 0.0220 73.908 39 0.0215 65.806 0.0220 70.207 0.0220 72.366 0.0225 75.373 40 0.0220 66.969 0.0225 71.502 0.0225 73.760 0.0230 76.828 41 0.0210 64.627 0.0230 72.783 0.0230 75.142 0.0235 78.273 fy= 4200 kg/cm2 Ku Ku Ku Ku Ku = 0.9 210 kg/cm2 280 kg/cm2 350 kg/cm2 420 kg/cm2 490 kg/cm2 = 0.9 210 kg/cm2 280 kg/cm2 350 kg/cm2 420 kg/cm2 490 kg/cm2
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Transcript of CUANTIA Y LA k
7/21/2019 CUANTIA Y LA k
http://slidepdf.com/reader/full/cuantia-y-la-k 1/5
HUAMANI MAMANI MANUEL
fy= 4200 kg/cm2
Ku Ku Ku Ku Ku
( ρ ) ( ρ ) ( ρ ) ( ρ ) ( ρ )
01 0.0024 8.886 0.0028 10.322 0.0031 11.461 0.0034 12.594 0.0037 13.724
02 0.0025 9.171 0.0030 11.039 0.0035 12.902 0.0035 12.957 0.0040 14.814
03 0.0030 10.939 0.0035 12.820 0.0040 14.692 0.0040 14.763 0.0045 16.623
04 0.0035 12.684 0.0040 14.585 0.0045 16.468 0.0045 16.558 0.0050 18.422
05 0.0040 14.406 0.0045 16.333 0.0050 18.231 0.0050 18.342 0.0055 20.212
06 0.0045 16.107 0.0050 18.064 0.0055 19.980 0.0055 20.115 0.0060 21.992
07 0.0050 17.785 0.0055 19.778 0.0060 21.717 0.0060 21.877 0.0065 23.762
08 0.0055 19.441 0.0060 21.476 0.0065 23.439 0.0065 23.628 0.0070 25.52309 0.0060 21.074 0.0065 23.157 0.0070 25.149 0.0070 25.367 0.0075 27.275
10 0.0065 22.685 0.0070 24.821 0.0075 26.845 0.0075 27.096 0.0080 29.017
11 0.0070 24.274 0.0075 26.468 0.0080 28.527 0.0080 28.813 0.0085 30.749
12 0.0075 25.841 0.0080 28.099 0.0085 30.196 0.0085 30.519 0.0090 32.472
13 0.0080 27.385 0.0085 29.713 0.0090 31.852 0.0090 32.214 0.0095 34.185
14 0.0085 28.907 0.0090 31.310 0.0095 33.495 0.0095 33.897 0.0100 35.888
15 0.0090 30.407 0.0095 32.891 0.0100 35.124 0.0100 35.570 0.0105 37.582
16 0.0095 31.884 0.0100 34.455 0.0105 36.739 0.0105 37.231 0.0110 39.267
17 0.0100 33.340 0.0105 36.002 0.0110 38.342 0.0110 38.881 0.0115 40.942
18 0.0105 34.772 0.0110 37.532 0.0115 39.931 0.0115 40.521 0.0120 42.607
19 0.0110 36.183 0.0115 39.046 0.0120 41.506 0.0120 42.149 0.0125 44.263
20 0.0115 37.571 0.0120 40.543 0.0125 43.068 0.0125 43.765 0.0130 45.909
21 0.0120 38.937 0.0125 42.023 0.0130 44.617 0.0130 45.371 0.0135 47.546
22 0.0125 40.281 0.0130 43.486 0.0135 46.153 0.0135 46.965 0.0140 49.173
23 0.0130 41.602 0.0135 44.933 0.0140 47.675 0.0140 48.549 0.0145 50.791
24 0.0135 42.901 0.0140 46.363 0.0145 49.183 0.0145 50.121 0.0150 52.399
25 0.0140 44.178 0.0145 47.777 0.0150 50.678 0.0150 51.682 0.0155 53.99726 0.0145 45.432 0.0150 49.173 0.0155 52.160 0.0155 53.232 0.0160 55.586
27 0.0150 46.664 0.0155 50.553 0.0160 53.629 0.0160 54.771 0.0165 57.166
28 0.0155 47.874 0.0160 51.916 0.0165 55.084 0.0165 56.298 0.0170 58.735
29 0.0160 49.061 0.0165 53.262 0.0170 56.526 0.0170 57.815 0.0175 60.296
30 0.0170 54.592 0.0175 57.954 0.0175 59.320 0.0180 61.846
31 0.0175 55.905 0.0180 59.369 0.0180 60.814 0.0185 63.388
32 0.0180 57.201 0.0185 60.771 0.0185 62.297 0.0190 64.919
33 0.0185 58.481 0.0190 62.159 0.0190 63.769 0.0195 66.441
34 0.0190 59.743 0.0195 63.534 0.0195 65.230 0.0200 67.954
35 0.0195 60.989 0.0200 64.895 0.0200 66.679 0.0205 69.457
36 0.0200 62.219 0.0205 66.243 0.0205 68.118 0.0210 70.950
37 0.0205 63.431 0.0210 67.578 0.0210 69.545 0.0215 72.434
38 0.0210 64.627 0.0215 68.899 0.0215 70.961 0.0220 73.908
39 0.0215 65.806 0.0220 70.207 0.0220 72.366 0.0225 75.373
40 0.0220 66.969 0.0225 71.502 0.0225 73.760 0.0230 76.828
41 0.0210 64.627 0.0230 72.783 0.0230 75.142 0.0235 78.273
fy= 4200 kg/cm2
Ku Ku Ku Ku Ku
= 0.9
210 kg/cm2
280 kg/cm2
350kg/cm2
420kg/cm2
490 kg/cm2
= 0.9210
kg/cm2280
kg/cm2350
kg/cm2420
kg/cm2490
kg/cm2
7/21/2019 CUANTIA Y LA k
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45 0.0250 77.774 0.0250 80.561 0.0255 83.960
46 0.0255 81.888 0.0260 85.358
47 0.0260 83.204 0.0265 86.746
48 0.0265 84.508 0.0270 88.124
49 0.0270 85.802 0.0275 89.494
50 0.0275 87.084 0.0280 90.853
51 0.0280 88.355 0.0285 92.203
52 0.0281 88.608 0.0290 93.543
53 0.0295 94.874
54 0.0300 96.196
55 0.0305 97.507
56 0.0310 98.810
57 0.0315 100.10258 0.0320 101.385
59 0.0325 102.659
60 0.0330 103.923
61 0.0335 105.177
62 0.0340 106.422
63 0.0345 107.657
64 0.0350 108.883
65 0.0355 110.099
66 0.0360 111.306
67 0.0365 112.503
68 0.0370 113.690
69 0.0375 114.868
70 0.0380 116.036
71 0.0385 117.195
72 0.0390 118.345
73 0.0395 119.484
74 0.0400 120.61475 0.0405 121.735
76 0.0408 122.403
* * $
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H'"m"* M"m"* m"'$ +.
, ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku01 0.00242 8.886 58 0.00413 14.851 115 0.00584 20.554 172 0.00755 25.996 229 0.00926 31.178 286 0.01097 36.099 343 0.01268 40.759 400 0.01439 45.15802 0.00245 8.993 59 0.00416 14.953 116 0.00587 20.652 173 0.00758 26.090 230 0.00929 31.267 287 0.01100 36.183 344 0.01271 40.838 401 0.01442 45.23303 0.00248 9.100 60 0.00419 15.055 117 0.00590 20.749 174 0.00761 26.183 231 0.00932 31.355 288 0.01103 36.267 345 0.01274 40.918 402 0.01445 45.30804 0.00251 9.207 61 0.00422 15.157 118 0.00593 20.847 175 0.00764 26.276 232 0.00935 31.444 289 0.01106 36.351 346 0.01277 40.997 403 0.01448 45.38205 0.00254 9.313 62 0.00425 15.259 119 0.00596 20.944 176 0.00767 26.369 233 0.00938 31.532 290 0.01109 36.434 347 0.01280 41.076 404 0.01451 45.45706 0.00257 9.420 63 0.00428 15.361 120 0.00599 21.042 177 0.00770 26.461 234 0.00941 31.620 291 0.01112 36.518 348 0.01283 41.155 405 0.01454 45.53107 0.00260 9.526 64 0.00431 15.463 121 0.00602 21.139 178 0.00773 26.554 235 0.00944 31.708 292 0.01115 36.602 349 0.01286 41.234 406 0.01457 45.60608 0.00263 9.633 65 0.00434 15.565 122 0.00605 21.236 179 0.00776 26.647 236 0.00947 31.796 293 0.01118 36.685 350 0.01289 41.313 407 0.01460 45.680
09 0.00266 9.739 66 0.00437 15.667 123 0.00608 21.334 180 0.00779 26.739 237 0.00950 31.884 294 0.01121 36.769 351 0.01292 41.392 408 0.01463 45.75410 0.00269 9.845 67 0.00440 15.768 124 0.00611 21.431 181 0.00782 26.832 238 0.00953 31.972 295 0.01124 36.852 352 0.01295 41.471 409 0.01466 45.82911 0.00272 9.952 68 0.00443 15.870 125 0.00614 21.528 182 0.00785 26.924 239 0.00956 32.060 296 0.01127 36.935 353 0.01298 41.550 410 0.01469 45.90312 0.00275 10.058 69 0.00446 15.972 126 0.00617 21.625 183 0.00788 27.017 240 0.00959 32.148 297 0.01130 37.019 354 0.01301 41.628 411 0.01472 45.97713 0.00278 10.164 70 0.00449 16.073 127 0.00620 21.721 184 0.00791 27.109 241 0.00962 32.236 298 0.01133 37.102 355 0.01304 41.707 412 0.01475 46.05114 0.00281 10.270 71 0.00452 16.174 128 0.00623 21.818 185 0.00794 27.201 242 0.00965 32.323 299 0.01136 37.185 356 0.01307 41.785 413 0.01478 46.12515 0.00284 10.375 72 0.00455 16.276 129 0.00626 21.915 186 0.00797 27.293 243 0.00968 32.411 300 0.01139 37.268 357 0.01310 41.864 414 0.01481 46.19916 0.00287 10.481 73 0.00458 16.377 130 0.00629 22.011 187 0.00800 27.385 244 0.00971 32.498 301 0.01142 37.351 358 0.01313 41.942 415 0.01484 46.27217 0.00290 10.587 74 0.00461 16.478 131 0.00632 22.108 188 0.00803 27.477 245 0.00974 32.586 302 0.01145 37.433 359 0.01316 42.020 416 0.01487 46.34618 0.00293 10.692 75 0.00464 16.579 132 0.00635 22.204 189 0.00806 27.569 246 0.00977 32.673 303 0.01148 37.516 360 0.01319 42.098 417 0.01490 46.41919 0.00296 10.798 76 0.00467 16.680 133 0.00638 22.301 190 0.00809 27.661 247 0.00980 32.760 304 0.01151 37.599 361 0.01322 42.176 418 0.01493 46.49320 0.00299 10.903 77 0.00470 16.781 134 0.00641 22.397 191 0.00812 27.753 248 0.00983 32.847 305 0.01154 37.681 362 0.01325 42.254 419 0.01496 46.56621 0.00302 11.009 78 0.00473 16.881 135 0.00644 22.493 192 0.00815 27.844 249 0.00986 32.934 306 0.01157 37.764 363 0.01328 42.332 420 0.01499 46.64022 0.00305 11.114 79 0.00476 16.982 136 0.00647 22.589 193 0.00818 27.936 250 0.00989 33.021 307 0.01160 37.846 364 0.01331 42.410 421 0.01502 46.71323 0.00308 11.219 80 0.00479 17.083 137 0.00650 22.685 194 0.00821 28.027 251 0.00992 33.108 308 0.01163 37.928 365 0.01334 42.488 422 0.01505 46.78624 0.00311 11.324 81 0.00482 17.183 138 0.00653 22.781 195 0.00824 28.119 252 0.00995 33.195 309 0.01166 38.011 366 0.01337 42.565 423 0.01508 46.85925 0.00314 11.429 82 0.00485 17.284 139 0.00656 22.877 196 0.00827 28.210 253 0.00998 33.282 310 0.01169 38.093 367 0.01340 42.643 424 0.01511 46.93226 0.00317 11.534 83 0.00488 17.384 140 0.00659 22.973 197 0.00830 28.301 254 0.01001 33.368 311 0.01172 38.175 368 0.01343 42.720 425 0.01514 47.00527 0.00320 11.639 84 0.00491 17.484 141 0.00662 23.069 198 0.00833 28.392 255 0.01004 33.455 312 0.01175 38.257 369 0.01346 42.798 426 0.01517 47.07828 0.00323 11.744 85 0.00494 17.585 142 0.00665 23.164 199 0.00836 28.483 256 0.01007 33.542 313 0.01178 38.339 370 0.01349 42.875 427 0.01520 47.15129 0.00326 11.849 86 0.00497 17.685 143 0.00668 23.260 200 0.00839 28.574 257 0.01010 33.628 314 0.01181 38.421 371 0.01352 42.952 428 0.01523 47.22330 0.00329 11.953 87 0.00500 17.785 144 0.00671 23.356 201 0.00842 28.665 258 0.01013 33.714 315 0.01184 38.502 372 0.01355 43.030 429 0.01526 47.29631 0.00332 12.058 88 0.00503 17.885 145 0.00674 23.451 202 0.00845 28.756 259 0.01016 33.801 316 0.01187 38.584 373 0.01358 43.107 430 0.01529 47.368
32 0.00335 12.162 89 0.00506 17.985 146 0.00677 23.546 203 0.00848 28.847 260 0.01019 33.887 317 0.01190 38.666 374 0.01361 43.184 431 0.01532 47.44133 0.00338 12.267 90 0.00509 18.085 147 0.00680 23.642 204 0.00851 28.938 261 0.01022 33.973 318 0.01193 38.747 375 0.01364 43.261 432 0.01535 47.51334 0.00341 12.371 91 0.00512 18.184 148 0.00683 23.737 205 0.00854 29.028 262 0.01025 34.059 319 0.01196 38.829 376 0.01367 43.337 433 0.01538 47.58635 0.00344 12.475 92 0.00515 18.284 149 0.00686 23.832 206 0.00857 29.119 263 0.01028 34.145 320 0.01199 38.910 377 0.01370 43.414 434 0.01541 47.65836 0.00347 12.580 93 0.00518 18.384 150 0.00689 23.927 207 0.00860 29.209 264 0.01031 34.231 321 0.01202 38.991 378 0.01373 43.491 435 0.01544 47.73037 0.00350 12.684 94 0.00521 18.483 151 0.00692 24.022 208 0.00863 29.299 265 0.01034 34.316 322 0.01205 39.072 379 0.01376 43.568 436 0.01547 47.80238 0.00353 12.788 95 0.00524 18.582 152 0.00695 24.117 209 0.00866 29.390 266 0.01037 34.402 323 0.01208 39.153 380 0.01379 43.644 437 0.01550 47.87439 0.00356 12.892 96 0.00527 18.682 153 0.00698 24.211 210 0.00869 29.480 267 0.01040 34.488 324 0.01211 39.235 381 0.01382 43.721 438 0.01553 47.94640 0.00359 12.995 97 0.00530 18.781 154 0.00701 24.306 211 0.00872 29.570 268 0.01043 34.573 325 0.01214 39.315 382 0.01385 43.797 439 0.01556 48.01841 0.00362 13.099 98 0.00533 18.880 155 0.00704 24.401 212 0.00875 29.660 269 0.01046 34.659 326 0.01217 39.396 383 0.01388 43.873 440 0.01559 48.08942 0.00365 13.203 99 0.00536 18.979 156 0.00707 24.495 213 0.00878 29.750 270 0.01049 34.744 327 0.01220 39.477 384 0.01391 43.949 441 0.01562 48.161
43 0.00368 13.306 100 0.00539 19.078 157 0.00710 24.590 214 0.00881 29.840 271 0.01052 34.829 328 0.01223 39.558 385 0.01394 44.026 442 0.01565 48.23244 0.00371 13.410 101 0.00542 19.177 158 0.00713 24.684 215 0.00884 29.930 272 0.01055 34.914 329 0.01226 39.638 386 0.01397 44.102 443 0.01568 48.30445 0.00374 13.513 102 0.00545 19.276 159 0.00716 24.778 216 0.00887 30.019 273 0.01058 35.000 330 0.01229 39.719 387 0.01400 44.178 444 0.01571 48.37546 0.00377 13.617 103 0.00548 19.375 160 0.00719 24.872 217 0.00890 30.109 274 0.01061 35.085 331 0.01232 39.799 388 0.01403 44.254 445 0.01574 48.44747 0.00380 13.720 104 0.00551 19.474 161 0.00722 24.966 218 0.00893 30.198 275 0.01064 35.170 332 0.01235 39.880 389 0.01406 44.329 446 0.01577 48.51848 0.00383 13.823 105 0.00554 19.572 162 0.00725 25.061 219 0.00896 30.288 276 0.01067 35.254 333 0.01238 39.960 390 0.01409 44.405 447 0.01580 48.58949 0.00386 13.926 106 0.00557 19.671 163 0.00728 25.154 220 0.00899 30.377 277 0.01070 35.339 334 0.01241 40.040 391 0.01412 44.481 448 0.01583 48.66050 0.00389 14.029 107 0.00560 19.769 164 0.00731 25.248 221 0.00902 30.467 278 0.01073 35.424 335 0.01244 40.121 392 0.01415 44.556 449 0.01586 48.73151 0.00392 14.132 108 0.00563 19.868 165 0.00734 25.342 222 0.00905 30.556 279 0.01076 35.509 336 0.01247 40.201 393 0.01418 44.632 450 0.01589 48.80252 0.00395 14.235 109 0.00566 19.966 166 0.00737 25.436 223 0.00908 30.645 280 0.01079 35.593 337 0.01250 40.281 394 0.01421 44.707 451 0.01592 48.87353 0.00398 14.338 110 0.00569 20.064 167 0.00740 25.529 224 0.00911 30.734 281 0.01082 35.678 338 0.01253 40.361 395 0.01424 44.783 452 0.01594 48.920
54 0.00401 14.441 111 0.00572 20.162 168 0.00743 25.623 225 0.00914 30.823 282 0.01085 35.762 339 0.01256 40.440 396 0.01427 44.85855 0.00404 14.543 112 0.00575 20.260 169 0.00746 25.717 226 0.00917 30.912 283 0.01088 35.846 340 0.01259 40.520 397 0.01430 44.933 fy= 4200 kg/cm2
56 0.00407 14.646 113 0.00578 20.358 170 0.00749 25.810 227 0.00920 31.001 284 0.01091 35.931 341 0.01262 40.600 398 0.01433 45.008fc= 210 kg/cm2
57 0.00410 14.748 114 0.00581 20.456 171 0.00752 25.903 228 0.00923 31.089 285 0.01094 36.015 342 0.01265 40.679 399 0.01436 45.083
= 0.9
!"#$" %& c'"*" H'"m"* M"m"* m"'$ +
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!"#$" %& c'"*" H'"m"* M"m"* m"'$ +.
, ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku
01 0.00279 10.286 58 0.00450 16.333 115 0.00621 22.184 172 0.00792 27.839 229 0.00963 33.299 286 0.01134 38.563 343 0.01305 43.632 400 0.01476 48.50502 0.00282 10.394 59 0.00453 16.437 116 0.00624 22.285 173 0.00795 27.937 230 0.00966 33.393 287 0.01137 38.654 344 0.01308 43.719 401 0.01479 48.58903 0.00285 10.501 60 0.00456 16.541 117 0.00627 22.385 174 0.00798 28.034 231 0.00969 33.487 288 0.01140 38.744 345 0.01311 43.806 402 0.01482 48.67204 0.00288 10.609 61 0.00459 16.645 118 0.00630 22.486 175 0.00801 28.131 232 0.00972 33.581 289 0.01143 38.835 346 0.01314 43.893 403 0.01485 48.75605 0.00291 10.717 62 0.00462 16.750 119 0.00633 22.587 176 0.00804 28.229 233 0.00975 33.675 290 0.01146 38.925 347 0.01317 43.980 404 0.01488 48.83906 0.00294 10.824 63 0.00465 16.854 120 0.00636 22.688 177 0.00807 28.326 234 0.00978 33.769 291 0.01149 39.016 348 0.01320 44.067 405 0.01491 48.92307 0.00297 10.932 64 0.00468 16.958 121 0.00639 22.788 178 0.00810 28.423 235 0.00981 33.862 292 0.01152 39.106 349 0.01323 44.154 406 0.01494 49.00608 0.00300 11.039 65 0.00471 17.062 122 0.00642 22.889 179 0.00813 28.520 236 0.00984 33.956 293 0.01155 39.196 350 0.01326 44.241 407 0.01497 49.090
09 0.00303 11.146 66 0.00474 17.166 123 0.00645 22.989 180 0.00816 28.617 237 0.00987 34.050 294 0.01158 39.286 351 0.01329 44.328 408 0.01500 49.17310 0.00306 11.254 67 0.00477 17.269 124 0.00648 23.090 181 0.00819 28.714 238 0.00990 34.143 295 0.01161 39.377 352 0.01332 44.414 409 0.01503 49.25611 0.00309 11.361 68 0.00480 17.373 125 0.00651 23.190 182 0.00822 28.811 239 0.00993 34.237 296 0.01164 39.467 353 0.01335 44.501 410 0.01506 49.34012 0.00312 11.468 69 0.00483 17.477 126 0.00654 23.290 183 0.00825 28.908 240 0.00996 34.330 297 0.01167 39.557 354 0.01338 44.587 411 0.01509 49.42313 0.00315 11.575 70 0.00486 17.581 127 0.00657 23.391 184 0.00828 29.005 241 0.00999 34.424 298 0.01170 39.647 355 0.01341 44.674 412 0.01512 49.50614 0.00318 11.682 71 0.00489 17.684 128 0.00660 23.491 185 0.00831 29.102 242 0.01002 34.517 299 0.01173 39.737 356 0.01344 44.760 413 0.01515 49.58915 0.00321 11.789 72 0.00492 17.788 129 0.00663 23.591 186 0.00834 29.198 243 0.01005 34.610 300 0.01176 39.826 357 0.01347 44.847 414 0.01518 49.67216 0.00324 11.896 73 0.00495 17.891 130 0.00666 23.691 187 0.00837 29.295 244 0.01008 34.703 301 0.01179 39.916 358 0.01350 44.933 415 0.01521 49.75517 0.00327 12.003 74 0.00498 17.995 131 0.00669 23.791 188 0.00840 29.392 245 0.01011 34.796 302 0.01182 40.006 359 0.01353 45.019 416 0.01524 49.83718 0.00330 12.110 75 0.00501 18.098 132 0.00672 23.891 189 0.00843 29.488 246 0.01014 34.890 303 0.01185 40.095 360 0.01356 45.106 417 0.01527 49.92019 0.00333 12.216 76 0.00504 18.201 133 0.00675 23.991 190 0.00846 29.585 247 0.01017 34.983 304 0.01188 40.185 361 0.01359 45.192 418 0.01530 50.00320 0.00336 12.323 77 0.00507 18.305 134 0.00678 24.091 191 0.00849 29.681 248 0.01020 35.076 305 0.01191 40.275 362 0.01362 45.278 419 0.01533 50.08621 0.00339 12.430 78 0.00510 18.408 135 0.00681 24.190 192 0.00852 29.777 249 0.01023 35.168 306 0.01194 40.364 363 0.01365 45.364 420 0.01536 50.16822 0.00342 12.536 79 0.00513 18.511 136 0.00684 24.290 193 0.00855 29.874 250 0.01026 35.261 307 0.01197 40.453 364 0.01368 45.450 421 0.01539 50.25123 0.00345 12.643 80 0.00516 18.614 137 0.00687 24.390 194 0.00858 29.970 251 0.01029 35.354 308 0.01200 40.543 365 0.01371 45.536 422 0.01542 50.33324 0.00348 12.749 81 0.00519 18.717 138 0.00690 24.489 195 0.00861 30.066 252 0.01032 35.447 309 0.01203 40.632 366 0.01374 45.622 423 0.01545 50.41625 0.00351 12.856 82 0.00522 18.820 139 0.00693 24.589 196 0.00864 30.162 253 0.01035 35.539 310 0.01206 40.721 367 0.01377 45.707 424 0.01548 50.49826 0.00354 12.962 83 0.00525 18.923 140 0.00696 24.688 197 0.00867 30.258 254 0.01038 35.632 311 0.01209 40.810 368 0.01380 45.793 425 0.01551 50.58027 0.00357 13.068 84 0.00528 19.026 141 0.00699 24.788 198 0.00870 30.354 255 0.01041 35.725 312 0.01212 40.900 369 0.01383 45.879 426 0.01554 50.66328 0.00360 13.174 85 0.00531 19.129 142 0.00702 24.887 199 0.00873 30.450 256 0.01044 35.817 313 0.01215 40.989 370 0.01386 45.964 427 0.01557 50.74529 0.00363 13.281 86 0.00534 19.231 143 0.00705 24.986 200 0.00876 30.546 257 0.01047 35.909 314 0.01218 41.078 371 0.01389 46.050 428 0.01560 50.82730 0.00366 13.387 87 0.00537 19.334 144 0.00708 25.086 201 0.00879 30.641 258 0.01050 36.002 315 0.01221 41.166 372 0.01392 46.136 429 0.01563 50.90931 0.00369 13.493 88 0.00540 19.437 145 0.00711 25.185 202 0.00882 30.737 259 0.01053 36.094 316 0.01224 41.255 373 0.01395 46.221 430 0.01566 50.991
32 0.00372 13.599 89 0.00543 19.539 146 0.00714 25.284 203 0.00885 30.833 260 0.01056 36.186 317 0.01227 41.344 374 0.01398 46.306 431 0.01569 51.07333 0.00375 13.705 90 0.00546 19.642 147 0.00717 25.383 204 0.00888 30.928 261 0.01059 36.279 318 0.01230 41.433 375 0.01401 46.392 432 0.01572 51.15534 0.00378 13.810 91 0.00549 19.744 148 0.00720 25.482 205 0.00891 31.024 262 0.01062 36.371 319 0.01233 41.522 376 0.01404 46.477 433 0.01575 51.23735 0.00381 13.916 92 0.00552 19.846 149 0.00723 25.581 206 0.00894 31.120 263 0.01065 36.463 320 0.01236 41.610 377 0.01407 46.562 434 0.01578 51.31836 0.00384 14.022 93 0.00555 19.949 150 0.00726 25.680 207 0.00897 31.215 264 0.01068 36.555 321 0.01239 41.699 378 0.01410 46.647 435 0.01581 51.40037 0.00387 14.128 94 0.00558 20.051 151 0.00729 25.778 208 0.00900 31.310 265 0.01071 36.647 322 0.01242 41.787 379 0.01413 46.732 436 0.01584 51.48238 0.00390 14.233 95 0.00561 20.153 152 0.00732 25.877 209 0.00903 31.406 266 0.01074 36.738 323 0.01245 41.876 380 0.01416 46.817 437 0.01587 51.56339 0.00393 14.339 96 0.00564 20.255 153 0.00735 25.976 210 0.00906 31.501 267 0.01077 36.830 324 0.01248 41.964 381 0.01419 46.902 438 0.01590 51.64540 0.00396 14.444 97 0.00567 20.357 154 0.00738 26.074 211 0.00909 31.596 268 0.01080 36.922 325 0.01251 42.052 382 0.01422 46.987 439 0.01593 51.72641 0.00399 14.550 98 0.00570 20.459 155 0.00741 26.173 212 0.00912 31.691 269 0.01083 37.014 326 0.01254 42.141 383 0.01425 47.072 440 0.01596 51.80842 0.00402 14.655 99 0.00573 20.561 156 0.00744 26.271 213 0.00915 31.786 270 0.01086 37.105 327 0.01257 42.229 384 0.01428 47.157 441 0.01599 51.889
43 0.00405 14.760 100 0.00576 20.663 157 0.00747 26.370 214 0.00918 31.881 271 0.01089 37.197 328 0.01260 42.317 385 0.01431 47.241 442 0.01602 51.97044 0.00408 14.866 101 0.00579 20.765 158 0.00750 26.468 215 0.00921 31.976 272 0.01092 37.288 329 0.01263 42.405 386 0.01434 47.326 443 0.01605 52.05145 0.00411 14.971 102 0.00582 20.866 159 0.00753 26.567 216 0.00924 32.071 273 0.01095 37.380 330 0.01266 42.493 387 0.01437 47.411 444 0.01608 52.13346 0.00414 15.076 103 0.00585 20.968 160 0.00756 26.665 217 0.00927 32.166 274 0.01098 37.471 331 0.01269 42.581 388 0.01440 47.495 445 0.01611 52.21447 0.00417 15.181 104 0.00588 21.070 161 0.00759 26.763 218 0.00930 32.261 275 0.01101 37.563 332 0.01272 42.669 389 0.01443 47.580 446 0.01614 52.29548 0.00420 15.286 105 0.00591 21.171 162 0.00762 26.861 219 0.00933 32.355 276 0.01104 37.654 333 0.01275 42.757 390 0.01446 47.664 447 0.01617 52.37649 0.00423 15.391 106 0.00594 21.273 163 0.00765 26.959 220 0.00936 32.450 277 0.01107 37.745 334 0.01278 42.845 391 0.01449 47.748 448 0.01620 52.45750 0.00426 15.496 107 0.00597 21.374 164 0.00768 27.057 221 0.00939 32.545 278 0.01110 37.836 335 0.01281 42.932 392 0.01452 47.833 449 0.01623 52.53751 0.00429 15.601 108 0.00600 21.476 165 0.00771 27.155 222 0.00942 32.639 279 0.01113 37.927 336 0.01284 43.020 393 0.01455 47.917 450 0.01626 52.61852 0.00432 15.705 109 0.00603 21.577 166 0.00774 27.253 223 0.00945 32.734 280 0.01116 38.018 337 0.01287 43.108 394 0.01458 48.001 451 0.01629 52.69953 0.00435 15.810 110 0.00606 21.678 167 0.00777 27.351 224 0.00948 32.828 281 0.01119 38.109 338 0.01290 43.195 395 0.01461 48.085 452 0.01632 52.780
54 0.00438 15.915 111 0.00609 21.779 168 0.00780 27.449 225 0.00951 32.922 282 0.01122 38.200 339 0.01293 43.283 396 0.01464 48.16955 0.00441 16.019 112 0.00612 21.881 169 0.00783 27.546 226 0.00954 33.017 283 0.01125 38.291 340 0.01296 43.370 397 0.01467 48.253 fy= 4200 kg/cm2
56 0.00444 16.124 113 0.00615 21.982 170 0.00786 27.644 227 0.00957 33.111 284 0.01128 38.382 341 0.01299 43.457 398 0.01470 48.337fc= 210 kg/cm2
57 0.00447 16.228 114 0.00618 22.083 171 0.00789 27.742 228 0.00960 33.205 285 0.01131 38.473 342 0.01302 43.545 399 0.01473 48.421
-
= 0.9
!"#$" %& c'"*" H'"m"* M"m"* m"'$ +
7/21/2019 CUANTIA Y LA k
http://slidepdf.com/reader/full/cuantia-y-la-k 5/5
!"#$" %& c'"*" H'"m"* M"m"* m"'$ +.
, ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku , ( ρ ) ku
453 0.01635 52.860 510 0.01806 57.356 567 0.01977 61.655 624 0.02148 65.760 681 0.02319 69.668 738 0.02490 73.381 795 0.02661 76.898 852 0.02832 80.220454 0.01638 52.941 511 0.01809 57.433 568 0.01980 61.729 625 0.02151 65.830 682 0.02322 69.735 739 0.02493 73.444 796 0.02664 76.958 853 0.02833 80.238455 0.01641 53.021 512 0.01812 57.510 569 0.01983 61.803 626 0.02154 65.900 683 0.02325 69.802 740 0.02496 73.508 797 0.02667 77.018456 0.01644 53.102 513 0.01815 57.587 570 0.01986 61.876 627 0.02157 65.970 684 0.02328 69.868 741 0.02499 73.571 798 0.02670 77.078457 0.01647 53.182 514 0.01818 57.664 571 0.01989 61.950 628 0.02160 66.040 685 0.02331 69.935 742 0.02502 73.634 799 0.02673 77.137
fc= 280 kg/cm2458 0.01650 53.262 515 0.01821 57.741 572 0.01992 62.023 629 0.02163 66.110 686 0.02334 70.001 743 0.02505 73.697 800 0.02676 77.197459 0.01653 53.343 516 0.01824 57.817 573 0.01995 62.097 630 0.02166 66.180 687 0.02337 70.068 744 0.02508 73.760 801 0.02679 77.257460 0.01656 53.423 517 0.01827 57.894 574 0.01998 62.170 631 0.02169 66.250 688 0.02340 70.134 745 0.02511 73.823 802 0.02682 77.316
461 0.01659 53.503 518 0.01830 57.971 575 0.02001 62.243 632 0.02172 66.320 689 0.02343 70.201 746 0.02514 73.886 803 0.02685 77.376462 0.01662 53.583 519 0.01833 58.048 576 0.02004 62.316 633 0.02175 66.390 690 0.02346 70.267 747 0.02517 73.949 804 0.02688 77.435463 0.01665 53.663 520 0.01836 58.124 577 0.02007 62.390 634 0.02178 66.459 691 0.02349 70.334 748 0.02520 74.012 805 0.02691 77.495464 0.01668 53.743 521 0.01839 58.201 578 0.02010 62.463 635 0.02181 66.529 692 0.02352 70.400 749 0.02523 74.075 806 0.02694 77.554465 0.01671 53.823 522 0.01842 58.277 579 0.02013 62.536 636 0.02184 66.599 693 0.02355 70.466 750 0.02526 74.138 807 0.02697 77.614466 0.01674 53.903 523 0.01845 58.354 580 0.02016 62.609 637 0.02187 66.668 694 0.02358 70.532 751 0.02529 74.200 808 0.02700 77.673467 0.01677 53.983 524 0.01848 58.430 581 0.02019 62.682 638 0.02190 66.738 695 0.02361 70.598 752 0.02532 74.263 809 0.02703 77.732468 0.01680 54.062 525 0.01851 58.506 582 0.02022 62.754 639 0.02193 66.807 696 0.02364 70.664 753 0.02535 74.325 810 0.02706 77.791469 0.01683 54.142 526 0.01854 58.582 583 0.02025 62.827 640 0.02196 66.876 697 0.02367 70.730 754 0.02538 74.388 811 0.02709 77.850470 0.01686 54.221 527 0.01857 58.659 584 0.02028 62.900 641 0.02199 66.946 698 0.02370 70.796 755 0.02541 74.450 812 0.02712 77.909471 0.01689 54.301 528 0.01860 58.735 585 0.02031 62.973 642 0.02202 67.015 699 0.02373 70.862 756 0.02544 74.513 813 0.02715 77.968
472 0.01692 54.380 529 0.01863 58.811 586 0.02034 63.045 643 0.02205 67.084 700 0.02376 70.927 757 0.02547 74.575 814 0.02718 78.027473 0.01695 54.460 530 0.01866 58.887 587 0.02037 63.118 644 0.02208 67.153 701 0.02379 70.993 758 0.02550 74.637 815 0.02721 78.086474 0.01698 54.539 531 0.01869 58.963 588 0.02040 63.190 645 0.02211 67.222 702 0.02382 71.059 759 0.02553 74.699 816 0.02724 78.144475 0.01701 54.619 532 0.01872 59.038 589 0.02043 63.263 646 0.02214 67.291 703 0.02385 71.124 760 0.02556 74.762 817 0.02727 78.203476 0.01704 54.698 533 0.01875 59.114 590 0.02046 63.335 647 0.02217 67.360 704 0.02388 71.190 761 0.02559 74.824 818 0.02730 78.262477 0.01707 54.777 534 0.01878 59.190 591 0.02049 63.407 648 0.02220 67.429 705 0.02391 71.255 762 0.02562 74.886 819 0.02733 78.320478 0.01710 54.856 535 0.01881 59.266 592 0.02052 63.480 649 0.02223 67.498 706 0.02394 71.320 763 0.02565 74.948 820 0.02736 78.379479 0.01713 54.935 536 0.01884 59.341 593 0.02055 63.552 650 0.02226 67.567 707 0.02397 71.386 764 0.02568 75.009 821 0.02739 78.437480 0.01716 55.014 537 0.01887 59.417 594 0.02058 63.624 651 0.02229 67.635 708 0.02400 71.451 765 0.02571 75.071 822 0.02742 78.496481 0.01719 55.093 538 0.01890 59.492 595 0.02061 63.696 652 0.02232 67.704 709 0.02403 71.516 766 0.02574 75.133 823 0.02745 78.554482 0.01722 55.172 539 0.01893 59.568 596 0.02064 63.768 653 0.02235 67.772 710 0.02406 71.581 767 0.02577 75.195 824 0.02748 78.612483 0.01725 55.251 540 0.01896 59.643 597 0.02067 63.840 654 0.02238 67.841 711 0.02409 71.646 768 0.02580 75.256 825 0.02751 78.671484 0.01728 55.329 541 0.01899 59.718 598 0.02070 63.912 655 0.02241 67.909 712 0.02412 71.712 769 0.02583 75.318 826 0.02754 78.729485 0.01731 55.408 542 0.01902 59.794 599 0.02073 63.984 656 0.02244 67.978 713 0.02415 71.776 770 0.02586 75.379 827 0.02757 78.787486 0.01734 55.487 543 0.01905 59.869 600 0.02076 64.055 657 0.02247 68.046 714 0.02418 71.841 771 0.02589 75.441 828 0.02760 78.845487 0.01737 55.565 544 0.01908 59.944 601 0.02079 64.127 658 0.02250 68.114 715 0.02421 71.906 772 0.02592 75.502 829 0.02763 78.903488 0.01740 55.644 545 0.01911 60.019 602 0.02082 64.199 659 0.02253 68.183 716 0.02424 71.971 773 0.02595 75.564 830 0.02766 78.961489 0.01743 55.722 546 0.01914 60.094 603 0.02085 64.270 660 0.02256 68.251 717 0.02427 72.036 774 0.02598 75.625 831 0.02769 79.019490 0.01746 55.801 547 0.01917 60.169 604 0.02088 64.342 661 0.02259 68.319 718 0.02430 72.100 775 0.02601 75.686 832 0.02772 79.076491 0.01749 55.879 548 0.01920 60.244 605 0.02091 64.413 662 0.02262 68.387 719 0.02433 72.165 776 0.02604 75.747 833 0.02775 79.134492 0.01752 55.957 549 0.01923 60.319 606 0.02094 64.485 663 0.02265 68.455 720 0.02436 72.229 777 0.02607 75.808 834 0.02778 79.192493 0.01755 56.035 550 0.01926 60.393 607 0.02097 64.556 664 0.02268 68.523 721 0.02439 72.294 778 0.02610 75.869 835 0.02781 79.249494 0.01758 56.114 551 0.01929 60.468 608 0.02100 64.627 665 0.02271 68.591 722 0.02442 72.358 779 0.02613 75.930 836 0.02784 79.307
495 0.01761 56.192 552 0.01932 60.543 609 0.02103 64.698 666 0.02274 68.658 723 0.02445 72.423 780 0.02616 75.991 837 0.02787 79.364496 0.01764 56.270 553 0.01935 60.617 610 0.02106 64.770 667 0.02277 68.726 724 0.02448 72.487 781 0.02619 76.052 838 0.02790 79.422497 0.01767 56.348 554 0.01938 60.692 611 0.02109 64.841 668 0.02280 68.794 725 0.02451 72.551 782 0.02622 76.113 839 0.02793 79.479498 0.01770 56.426 555 0.01941 60.766 612 0.02112 64.912 669 0.02283 68.861 726 0.02454 72.615 783 0.02625 76.174 840 0.02796 79.537499 0.01773 56.503 556 0.01944 60.841 613 0.02115 64.983 670 0.02286 68.929 727 0.02457 72.680 784 0.02628 76.234 841 0.02799 79.594500 0.01776 56.581 557 0.01947 60.915 614 0.02118 65.054 671 0.02289 68.996 728 0.02460 72.744 785 0.02631 76.295 842 0.02802 79.651501 0.01779 56.659 558 0.01950 60.989 615 0.02121 65.124 672 0.02292 69.064 729 0.02463 72.808 786 0.02634 76.356 843 0.02805 79.708502 0.01782 56.737 559 0.01953 61.064 616 0.02124 65.195 673 0.02295 69.131 730 0.02466 72.872 787 0.02637 76.416 844 0.02808 79.765503 0.01785 56.814 560 0.01956 61.138 617 0.02127 65.266 674 0.02298 69.199 731 0.02469 72.935 788 0.02640 76.477 845 0.02811 79.822504 0.01788 56.892 561 0.01959 61.212 618 0.02130 65.337 675 0.02301 69.266 732 0.02472 72.999 789 0.02643 76.537 846 0.02814 79.879505 0.01791 56.969 562 0.01962 61.286 619 0.02133 65.407 676 0.02304 69.333 733 0.02475 73.063 790 0.02646 76.597 847 0.02817 79.936
506 0.01794 57.047 563 0.01965 61.360 620 0.02136 65.478 677 0.02307 69.400 734 0.02478 73.127 791 0.02649 76.658 848 0.02820 79.993507 0.01797 57.124 564 0.01968 61.434 621 0.02139 65.548 678 0.02310 69.467 735 0.02481 73.190 792 0.02652 76.718 849 0.02823 80.050 fy= 4200 kg/cm2
508 0.01800 57.201 565 0.01971 61.508 622 0.02142 65.619 679 0.02313 69.534 736 0.02484 73.254 793 0.02655 76.778 850 0.02826 80.106fc= 210 kg/cm2
509 0.01803 57.278 566 0.01974 61.582 623 0.02145 65.689 680 0.02316 69.601 737 0.02487 73.317 794 0.02658 76.838 851 0.02829 80.163
= 0.9fy 4200 kg/cm2
= 0.9
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