correlación resistencia-ultrasonido
DESCRIPTION
fdsfsdsadaaTRANSCRIPT
ESCLEROMETRO 1
Muestra f´c R NIVEL COLUMNA1 425 50 M 11 425 50 M 11 425 49 M 11 425 49 M 11 425 48 M 11 425 48 M 11 425 46 M 11 425 49 M 11 425 49 M 11 425 49 M 11 425 46 M 11 425 46 M 11 425 45 M 11 425 53 M 11 425 46 M 11 425 47 M 11 425 47 M 11 425 47 M 11 425 47 M 11 425 52 M 1 47.92 425 46 I 12 425 46 I 12 425 46 I 12 425 46 I 12 425 48 I 12 425 48 I 12 425 48 I 12 425 44 I 12 425 44 I 12 425 48 I 12 425 48 I 12 425 46 I 12 425 46 I 12 425 46 I 12 425 50 I 12 425 50 I 1 46.93 425 46 S 13 425 46 S 13 425 46 S 13 425 42 S 13 425 42 S 13 425 48 S 13 425 52 S 13 425 42 S 13 425 42 S 1
3 425 44 S 13 425 44 S 13 425 44 S 13 425 44 S 13 425 46 S 13 425 48 S 1 44.74 425 50 I 24 425 50 I 24 425 50 I 24 425 48 I 24 425 48 I 24 425 46 I 24 425 46 I 24 425 46 I 24 425 44 I 2 47.75 425 44 M 25 425 44 M 25 425 44 M 25 425 44 M 25 425 46 M 2 44.06 425 42 S 26 425 44 S 26 425 44 S 26 425 44 S 26 425 44 S 26 425 44 S 26 425 44 S 2 44.0 46.3
10 345 41 M 1010 345 42 M 1010 345 44 M 1010 345 44 M 1010 345 45 M 1010 345 45 M 1010 345 45 M 1010 345 46 M 10 44.211 345 43 I 1011 345 43 I 1011 345 43 I 1011 345 43 I 1011 345 44 I 1011 345 44 I 1011 345 44 I 1011 345 45 I 1011 345 46 I 10 43.712 345 42 S 1012 345 42 S 1012 345 44 S 1012 345 44 S 10
12 345 44 S 1012 345 46 S 1012 345 46 S 1012 345 46 S 10 44.3 44.113 336 47 I 313 336 47 I 313 336 47 I 313 336 47 I 313 336 47 I 313 336 47 I 313 336 46 I 313 336 49 I 313 336 45 I 313 336 45 I 313 336 45 I 313 336 45 I 313 336 47 I 313 336 47 I 313 336 47 I 313 336 42 I 313 336 42 I 313 336 44 I 3 46.314 336 46 M 314 336 46 M 314 336 46 M 314 336 46 M 314 336 48 M 314 336 48 M 314 336 44 M 314 336 45 M 314 336 45 M 314 336 46 M 314 336 46 M 314 336 46 M 314 336 45 M 314 336 45 M 314 336 45 M 314 336 50 M 314 336 49 M 314 336 46 M 314 336 46 M 314 336 46 M 314 336 46 M 314 336 46 M 3 45.915 336 48 S 315 336 48 S 315 336 50 S 315 336 50 S 315 336 46 S 3
15 336 46 S 315 336 44 S 315 336 44 S 315 336 46 S 315 336 46 S 315 336 46 S 315 336 46 S 315 336 47 S 315 336 48 S 315 336 48 S 3 46.816 336 44 I 416 336 44 I 416 336 46 I 416 336 46 I 416 336 48 I 416 336 48 I 416 336 50 I 416 336 50 I 416 336 50 I 416 336 44 I 416 336 44 I 416 336 44 I 416 336 47 I 416 336 47 I 416 336 47 I 4 46.317 336 44 M 417 336 45 M 417 336 45 M 417 336 46 M 417 336 46 M 417 336 46 M 417 336 48 M 417 336 48 M 417 336 48 M 417 336 48 M 417 336 48 M 417 336 48 M 417 336 47 M 417 336 45 M 417 336 45 M 417 336 45 M 417 336 44 M 417 336 48 M 417 336 48 M 417 336 49 M 417 336 50 M 4 46.818 336 46 S 418 336 46 S 418 336 46 S 4
18 336 46 S 418 336 47 S 418 336 47 S 418 336 48 S 418 336 48 S 418 336 46 S 418 336 46 S 418 336 45 S 418 336 45 S 418 336 44 S 418 336 44 S 4 46.0 46.319 300 40 M 619 300 40 M 619 300 43 M 619 300 43 M 619 300 43 M 619 300 43 M 619 300 44 M 619 300 44 M 6 42.720 300 38 I 620 300 38 I 620 300 38 I 620 300 38 I 620 300 40 I 620 300 44 I 620 300 44 I 6 39.621 300 38 S 621 300 40 S 621 300 40 S 621 300 42 S 621 300 42 S 621 300 44 S 621 300 46 S 621 300 36 S 6 41.0 41.322 290 44 M 722 290 44 M 722 290 45 M 722 290 46 M 722 290 46 M 722 290 46 M 722 290 46 M 722 290 46 M 722 290 46 M 7 45.623 290 44 I 723 290 44 I 723 290 44 I 723 290 46 I 723 290 46 I 723 290 46 I 7
23 290 46 I 723 290 46 I 7 45.324 290 40 S 724 290 40 S 724 290 40 S 724 290 40 S 724 290 42 S 724 290 42 S 724 290 44 S 724 290 44 S 7 41.325 290 42 M 925 290 42 M 925 290 43 M 925 290 43 M 925 290 44 M 925 290 44 M 925 290 44 M 925 290 45 M 925 290 48 M 9 43.626 290 44 I 926 290 44 I 926 290 44 I 926 290 44 I 926 290 44 I 926 290 45 I 926 290 42 I 926 290 41 I 9 43.727 290 40 S 927 290 43 S 927 290 44 S 927 290 44 S 927 290 44 S 927 290 46 S 927 290 46 S 9 44.2 44.228 280 44 M 1128 280 44 M 1128 280 44 M 1128 280 44 M 1128 280 44 M 1128 280 44 M 1128 280 40 M 1128 280 42 M 11 43.730 280 38 I 1130 280 38 I 1130 280 38 I 1130 280 38 I 1130 280 42 I 1130 280 42 I 11
30 280 43 I 1130 280 43 I 1130 280 44 I 11 40.631 280 43 S 1131 280 43 S 1131 280 43 S 1131 280 43 S 1131 280 43 S 1131 280 43 S 1131 280 43 S 1131 280 42 S 1131 280 42 S 11 42.9 42.832 274 42 M 1232 274 44 M 1232 274 44 M 1232 274 45 M 1232 274 45 M 1232 274 45 M 1232 274 46 M 1232 274 46 M 12 44.833 274 40 I 1233 274 40 I 1233 274 40 I 1233 274 42 I 1233 274 42 I 1233 274 42 I 1233 274 44 I 1233 274 44 I 12 41.734 274 44 S 1234 274 44 S 1234 274 45 S 1234 274 45 S 1234 274 45 S 1234 274 45 S 1234 274 45 S 1234 274 45 S 1234 274 46 S 12 44.9 44.235 270 42 M 835 270 42 M 835 270 44 M 835 270 44 M 835 270 44 M 835 270 44 M 835 270 45 M 835 270 45 M 835 270 45 M 8 44.036 270 43 I 836 270 44 I 8
36 270 45 I 836 270 45 I 836 270 46 I 836 270 46 I 836 270 46 I 836 270 46 I 836 270 46 I 8 45.437 270 44 S 837 270 44 S 837 270 44 S 837 270 44 S 837 270 46 S 837 270 46 S 837 270 46 S 837 270 50 S 837 270 50 S 8 45.7 44.938 260 42 M 1338 260 42 M 1338 260 44 M 1338 260 44 M 1338 260 44 M 1338 260 44 M 1338 260 44 M 1338 260 44 M 13 43.739 260 42 I 1339 260 42 I 1339 260 42 I 1339 260 42 I 1339 260 43 I 1339 260 44 I 1339 260 44 I 1339 260 44 I 13 42.840 260 42 S 1340 260 42 S 1340 260 42 S 1340 260 42 S 1340 260 43 S 1340 260 43 S 1340 260 44 S 1340 260 44 S 13 42.7 43.1
R f´c cilindros metodo directo R f´c cilindros f´c CCC46.3 425 46.3 425 319.20068344.1 345 46.3 336 284.30575846.3 336 41.3 300 284.30575841.3 300 44.2 274 298.20289344.2 290 44.9 270 312.27003242.8 280 43.1 260 274.71285544.2 27444.9 270 metodo indirecto R f´c cilindros f´c CCC43.1 260 46.3 425 291.701576
44.1 345 170.11955646.3 336 209.14776941.3 300 159.53365344.2 290 196.60772342.8 280 176.31289144.2 274 203.84764744.9 270 218.35720143.1 260 190.190875
41.0 42.0 43.0 44.0 45.0 46.0 47.0
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Column O
41.0 42.0 43.0 44.0 45.0 46.0 47.0
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Column O
R cor. R41.3 300 284 28143.1 260 275 28944.2 274 298 29544.9 270 312 29846.3 336 284 305
R cor. R41.3 300 160 14942.8 280 176 17743.1 260 190 18244.1 345 170 20144.2 290 197 20344.2 274 204 20344.9 270 218 21646.3 336 209 243
metodo directo
f´c Cilindros
f´c CCC
metodo indirecto
f´c Cilindros
f´c CCC
41.0 42.0 43.0 44.0 45.0 46.0 47.0
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Column O
41.0 42.0 43.0 44.0 45.0 46.0 47.0
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Column O
41.0 42.0 43.0 44.0 45.0 46.0 47.0
150170190210230250270290310330
f(x) = 2.66504910392906 x + 173.606220811352R² = 0.117182154257811
Correlación Rebotes con Método Directo
R
f´c
41.0 42.0 43.0 44.0 45.0 46.0 47.0
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f(x) = 10.9893958610233 x − 291.464251031623R² = 0.640990189162261
Correlación Rebotes con Método Indirecto
Column V
Linear (Column V)R
f´c
ESCLEROMETRO 2
f´c R NIVEL COLUMNA PROMEDIO1 425 44 M 12 425 44 M 13 425 46 M 14 425 46 M 15 425 46 M 16 425 48 M 17 425 48 M 18 425 48 M 19 425 50 M 1
10 425 48 M 111 425 48 M 112 425 50 M 113 425 52 M 114 425 52 M 115 425 52 M 116 425 50 M 117 425 52 I 118 425 50 I 119 425 46 I 120 425 46 I 121 425 44 I 122 425 44 I 123 425 42 S 124 425 44 S 125 425 44 S 126 425 46 S 127 425 46 S 128 425 50 S 129 425 50 S 130 425 50 S 131 425 50 S 132 425 50 S 133 425 46 S 134 425 46 S 135 425 46 S 136 425 46 S 137 425 44 S 138 425 52 M 239 425 50 M 240 425 50 M 241 425 48 M 242 425 46 M 243 425 46 M 244 425 44 M 245 425 42 M 246 425 51 I 247 425 51 I 248 425 50 I 2
49 425 50 I 250 425 48 I 251 425 46 I 252 425 46 I 253 425 46 I 254 425 50 S 255 425 48 S 256 425 54 S 257 425 46 S 258 425 46 S 259 425 45 S 2 47.6101695
1 373 44 M 52 373 44 M 53 373 44 M 54 373 44 M 55 373 44 M 56 373 46 M 57 373 42 M 58 373 42 M 59 373 42 M 5
10 373 42 M 511 373 44 M 512 373 44 M 513 373 44 M 514 373 44 M 515 373 46 M 516 373 46 M 517 373 46 M 518 373 44 M 519 373 44 M 520 373 44 M 521 373 42 M 522 373 42 M 523 373 42 M 524 373 40 I 525 373 42 I 526 373 42 I 527 373 43 I 528 373 45 I 529 373 45 I 530 373 42 I 531 373 42 I 532 373 42 I 533 373 44 I 534 373 44 I 535 373 44 I 536 373 44 I 537 373 42 S 538 373 42 S 539 373 45 S 540 373 45 S 541 373 46 S 542 373 42 S 5
43 373 42 S 544 373 41 S 545 373 45 S 546 373 45 S 547 373 50 S 548 373 50 S 549 373 40 S 550 373 42 S 551 373 42 S 552 373 42 S 553 373 44 S 554 373 44 S 555 373 47 S 5 43.6545455
1 336 46 M 32 336 46 M 33 336 46 M 34 336 46 M 35 336 46 M 36 336 47 M 37 336 47 M 38 336 50 M 39 336 52 M 3
10 336 52 M 311 336 45 M 312 336 47 M 313 336 47 M 314 336 47 M 315 336 48 M 316 336 48 M 317 336 49 M 318 336 54 M 319 336 54 M 320 336 46 M 321 336 46 M 322 336 46 M 323 336 48 M 324 336 48 M 325 336 46 I 326 336 46 I 327 336 46 I 328 336 50 I 329 336 50 I 330 336 48 I 331 336 52 I 332 336 48 I 333 336 48 I 334 336 46 I 335 336 46 I 336 336 46 I 337 336 50 I 338 336 46 S 339 336 46 S 340 336 46 S 3
41 336 46 S 342 336 48 S 343 336 48 S 344 336 46 S 345 336 46 S 346 336 46 S 347 336 46 S 348 336 48 S 349 336 46 M 450 336 46 M 451 336 46 M 452 336 46 M 453 336 47 M 454 336 47 M 455 336 50 M 456 336 49 M 457 336 49 M 458 336 50 M 459 336 50 M 460 336 47 M 461 336 47 M 462 336 47 M 463 336 46 M 464 336 46 M 465 336 48 M 466 336 48 M 467 336 48 M 468 336 44 M 469 336 44 M 470 336 52 M 471 336 47 I 472 336 47 I 473 336 47 I 474 336 47 I 475 336 47 I 476 336 45 I 477 336 45 I 478 336 50 I 479 336 50 I 480 336 48 I 481 336 48 I 482 336 47 I 483 336 47 I 484 336 48 S 485 336 48 S 486 336 48 S 487 336 48 S 488 336 44 S 489 336 46 S 490 336 56 S 491 336 56 S 492 336 57 S 493 336 57 S 4
94 336 57 S 495 336 57 S 4 48.0526316
ULTRASONIDO
ENSAYO INDIRECTO:
F`C VELOCIDAD DISTANCIA TIEMPO COLUMNA1 425 4240 0.1 23.6 12 425 4030 0.2 49.6 13 425 4130 0.3 72.7 14 425 3980 0.4 100.6 15 425 3980 0.5 125.8 16 425 3480 0.1 28.7 17 425 4160 0.2 48.2 18 425 4240 0.3 70.7 19 425 3290 0.4 121.7 1
10 425 4360 0.5 114.7 111 425 5620 0.1 17.8 212 425 4730 0.2 42.3 213 425 4370 0.3 68.7 214 425 4140 0.4 96.6 215 425 4140 0.5 120.7 2
1 373 2340 0.1 42.7 52 373 2120 0.2 94.5 53 373 3390 0.3 88.5 54 373 2670 0.4 149.6 55 373 2680 0.5 186.8 51 345 2990 0.1 33.4 102 345 2810 0.2 71.1 103 345 2870 0.3 104.5 104 345 2790 0.4 143.2 105 345 2610 0.5 191.6 101 336 3480 0.1 28.7 32 336 3660 0.2 54.7 33 336 3420 0.3 87.8 34 336 2710 0.4 147.7 35 336 2850 0.5 175.6 36 336 3890 0.1 25.7 37 336 3730 0.2 53.6 38 336 3540 0.3 84.7 39 336 2970 0.4 134.8 3
10 336 2990 0.5 167.3 311 336 3200 0.1 31.3 412 336 3730 0.2 53.6 413 336 2720 0.3 110.2 414 336 3530 0.4 113.2 415 336 3740 0.5 133.7 4
1 300 3270 0.1 30.6 62 300 3530 0.2 56.7 63 300 3580 0.3 83.7 6
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 249.509090909091 xR² = 0.999758311275021
distancia m
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 254.090909090909 xR² = 0.983296722052662
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 236.072727272727 xR² = 0.997585516995643
distancia m
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mp
o
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 369.018181818182 xR² = 0.987288987568027
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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f(x) = 367.254545454545 xR² = 0.998303349988785
distancia m
tie
mp
o
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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f(x) = 340.054545454545 xR² = 0.991042213556151
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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f(x) = 320.490909090909 xR² = 0.993406866574298
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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40
60
80
100
120
140
160
f(x) = 289.163636363636 xR² = 0.985048494135423
distancia m
tie
mp
o
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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250
f(x) = 385.145454545455 xR² = 0.962028225458321
distancia m
tiem
po
4 300 2840 0.4 140.8 65 300 2160 0.5 232 61 290 3820 0.1 26.2 72 290 3410 0.2 58.7 73 290 3310 0.3 90.6 74 290 3460 0.4 115.5 75 290 2910 0.5 171.8 71 290 3810 0.1 52.5 92 290 3390 0.2 29.5 93 290 2760 0.3 108.7 94 290 2450 0.4 163.5 95 290 3090 0.5 161.7 91 280 3180 0.1 31.5 112 280 2570 0.2 77.8 113 280 2710 0.3 110.7 114 280 2550 0.4 156.6 115 280 3040 0.5 164.3 111 274 3770 0.1 26.5 122 274 3590 0.2 55.7 123 274 3510 0.3 85.6 124 274 3020 0.4 132.6 125 274 2970 0.5 168.3 121 270 4650 0.1 21.5 82 270 3950 0.2 50.7 83 270 2840 0.3 105.6 84 270 4050 0.4 98.8 85 270 2960 0.5 168.8 81 260 3980 0.1 25.1 132 260 3150 0.2 63.6 133 260 3270 0.3 91.8 134 260 2820 0.4 142 135 260 2890 0.5 172.8 13
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 385.145454545455 xR² = 0.962028225458321
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 315.709090909091 xR² = 0.993183317796958
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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180
f(x) = 345.472727272727 xR² = 0.960802035163702
distancia m
tie
mp
o
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
0
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f(x) = 357.654545454545 xR² = 0.993456370064398
distancia m
tiem
po
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 321.2 xR² = 0.994800853790559
distancia m
tie
mp
o0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 305.254545454545 xR² = 0.977310878975214
distancia mtie
mpo
0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.55
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f(x) = 338.127272727273 xR² = 0.996126462990967
distancia m
tiem
po
Muestra velocidad f´c cilindros f´c AP f´c Evaltec f´c CCC¡ 1 4008 425 285 313 287
2 3936 425 277 305 2804008 3 4236 425 309 338 309
4 2710 373 84 183 1695 2723 345 86 184 1706 2941 336 128 204 1897 3120 336 160 222 204
3936 8 3458 336 213 256 2359 2596 300 61 172 160
10 3167 290 168 226 20911 2895 290 119 200 18512 2796 280 101 191 176
4236 13 3113 274 158 221 20414 3276 270 185 237 21815 2957 260 131 206 190
2710
2723
2941
3120
3458
2596
Velocidad Promedio
2400
2600
2800
3000
3200
3400
3600
3800
4000
4200
4400
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f´c cilindros
f´c AP
f´c Evaltec
f´c CCC
2500 3000 3500 4000 4500
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f´c cilindros
f´c cilindros
3167
2895
2796
3113
3276
2957
velocidad f´c cilindros f´c AP f´c Evaltec f´c CCC
4060 425 291 319 2922710 373 84 183 1692723 345 86 184 170
3173 336 168 227 2092596 300 61 172 160
3031 290 144 213 1972796 280 101 191 1763113 274 158 221 2043276 270 185 237 2182957 260 131 206 190
2000 2500 3000 3500 4000 45000
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f´c cilindros
f´c AP
f´c Evaltec
f´c CCC
ULTRASONIDO
ENSAYO DIRECTO:
F`C VELOCIDAD DISTANCIA TIEMPO COLUMNA1 425 4410 0.4 130.2 12 425 4310 0.4 139.3 13 425 4400 0.4 136.4 14 425 4300 0.4 139.6 15 425 4280 0.4 140.2 1 43401 373 4080 0.6 147 52 373 3960 0.6 151.7 53 373 3960 0.6 151.7 54 373 3950 0.6 151.9 55 373 3950 0.6 151.8 56 373 4010 0.6 149.5 5 39851 336 3900 0.4 102.7 32 336 3990 0.4 100.2 33 336 3950 0.4 101.3 34 336 4010 0.4 99.8 35 336 4020 0.4 99.6 36 336 4030 0.4 99.2 3 39837 336 4000 0.4 100.1 48 336 3830 0.4 104.4 49 336 4070 0.4 98.4 4
10 336 3900 0.4 102.7 411 336 4030 0.4 99.2 412 336 3940 0.4 101.6 4 3962
1 300 4050 0.42 103.7 62 300 4020 0.42 104.6 63 300 3880 0.42 108.4 6 39831 274 4100 0.4 97.6 122 274 4180 0.4 95.6 123 274 4100 0.4 97.5 12 41271 270 4310 0.62 143.9 82 270 4180 0.62 148.5 83 270 4320 0.62 143.7 8 42701 260 3840 0.4 104.1 132 260 3860 0.4 103.4 133 260 3950 0.4 101.2 13 3883
Velocidad Promedio
Muestra velocidad f´c cilindros f´c AP f´c Evaltec f´c CCC1 4340.00 425 318 350 3192 3985.00 373 282 311 2843 3983.33 336 282 311 2844 3961.67 336 280 308 2825 3983.33 300 282 311 2846 4126.67 274 298 326 2987 4270.00 270 312 342 3128 3883.33 260 270 300 275
3800.00 3900.00 4000.00 4100.00 4200.00 4300.00 4400.00
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f´c cilindros
f´c AP
f´c Evaltec
f´c CCC
ESTIMACIÓN DE PROFUNDIDAD DE LAS FISURAS
Distancia inicial a la fisura (L) = 0.7
Toma Nº Distancia (m) Tiempo 1 (us) Tiempo 2 (us)1 0 02 0.2 403 0.4 934 0.6 1465 0.76 0.77 0.8 2548 1 2909 1.2 341
10 1.4
Tomando T como la diferencia de tiempos. T = Pendiente en el primer tramo=
Valor del T1 en 0.7 m = 165.998Valor del T2 en 0.7 m = 229.75
Diferencia T = 63.752
Pendiente del primer tramo = 19.89
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.60
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f(x) = 217.5 x + 77.4999999999999R² = 0.990188383045526f(x) = 237.142857142857 xR² = 0.997705415129778
Tiempo 1 (us)
Linear (Tiempo 1 (us))
Tiempo 2 (us)
Linear (Tiempo 2 (us))
Profundidad de la fisura = 19.22
VELOCIDAD f´c ap f´c Evaltec f´c Combinad f´c CCC0.15 -643.75 3.22 3.22 3.398
0.2 -625.34 4.79 4.79 5.0100.25 -607.09 6.51 6.51 6.771
0.3 -589.02 8.37 8.37 8.6610.35 -571.10 10.36 10.36 10.665
0.4 -553.36 12.46 12.46 12.7710.45 -535.78 14.65 14.65 14.972
0.5 -518.38 16.95 16.95 17.2610.55 -501.13 19.33 19.33 19.631
0.6 -484.06 21.80 21.80 22.0780.65 -467.15 24.34 24.34 24.597
0.7 -450.41 26.96 26.96 27.1850.75 -433.84 29.66 29.66 29.839
0.8 -417.44 32.42 32.42 32.5550.85 -401.20 35.25 35.25 35.332
0.9 -385.13 38.14 38.14 38.1660.95 -369.23 41.10 41.10 41.056
1 -353.50 44.11 44.11 44.0001.05 -337.93 47.18 47.18 46.996
1.1 -322.53 50.31 50.31 50.0421.15 -307.30 53.49 53.49 53.137
1.2 -292.24 56.73 56.73 56.2791.25 -277.34 60.02 60.02 59.468
1.3 -262.61 63.35 63.35 62.7011.35 -248.05 66.74 66.74 65.979
1.4 -233.66 70.18 70.18 69.2991.45 -219.43 73.66 73.66 72.661
1.5 -205.37 77.19 77.19 76.0631.55 -191.48 80.76 80.76 79.506
1.6 -177.76 84.38 84.38 82.9881.65 -164.20 88.04 88.04 86.508
1.7 -150.81 91.74 91.74 90.0661.75 -137.59 95.48 95.48 93.660
1.8 -124.54 99.27 99.27 97.2911.85 -111.65 103.09 103.09 100.957
1.9 -98.93 106.96 106.96 104.6571.95 -86.38 110.86 110.86 108.393
2 -74.00 114.80 114.80 112.1612.05 -61.78 118.78 118.78 115.963
2.1 -49.73 122.80 122.80 119.7982.15 -37.85 126.85 126.85 123.664
2.2 -26.14 130.94 130.94 127.5632.25 -14.59 135.07 135.07 131.492
2.3 -3.22 139.23 139.23 135.4522.35 8.00 143.42 143.42 139.442
2.4 19.04 147.65 147.65 143.462
0 1 2 3 4 5 6 7
-800.00
-600.00
-400.00
-200.00
0.00
200.00
400.00
600.00
f(x) = 44.0088379782024 x^1.32519647664133R² = 0.997034439565977f(x) = − 0.3898055341033 x² + 77.972708384935 x − 29.862328468162R² = 0.991409608723062
Column B
Column C
Column D
Power (Column D)
Polynomial (Column D)
0 1 2 3 4 5 6 7
-800.00
-600.00
-400.00
-200.00
0.00
200.00
400.00
600.00
Column B
Column C
Column D
Column E
0 1 2 3 4 5 6 70.0
100.0
200.0
300.0
400.0
500.0
600.0
f´c CCC
2.45 29.92 151.91 151.91 147.5122.5 40.62 156.20 156.20 151.590
2.55 51.17 160.53 160.53 155.6982.6 61.54 164.89 164.89 159.833
2.65 71.75 169.28 169.28 163.9972.7 81.78 173.71 173.71 168.188
2.75 91.66 178.16 178.16 172.4062.8 101.36 182.65 182.65 176.651
2.85 110.90 187.16 187.16 180.9232.9 120.26 191.71 191.71 185.221
2.95 129.47 196.29 196.29 189.5453 138.50 200.89 200.89 193.895
3.05 147.37 205.53 205.53 198.2703.1 156.06 210.19 210.19 202.671
3.15 164.60 214.88 214.88 207.0963.2 172.96 219.61 219.61 211.546
3.25 181.16 224.36 224.36 216.0213.3 189.18 229.13 229.13 220.519
3.35 197.05 233.94 233.94 225.0423.4 204.74 238.77 238.77 229.588
3.45 212.27 243.63 243.63 234.1583.5 219.62 248.51 219.62 238.751
3.55 226.82 253.43 226.82 243.3673.6 233.84 258.37 233.84 248.005
3.65 240.70 263.33 240.70 252.6673.7 247.38 268.32 247.38 257.350
3.75 253.91 273.34 253.91 262.0563.8 260.26 278.38 260.26 266.784
3.85 266.45 283.45 266.45 271.5343.9 272.46 288.54 272.46 276.306
3.95 278.32 293.66 278.32 281.0994 284.00 298.80 284.00 285.913
4.05 289.52 303.97 289.52 290.7484.1 294.86 309.16 294.86 295.604
4.15 300.05 314.37 300.05 300.4814.2 305.06 319.61 305.06 305.379
4.25 309.91 324.87 309.91 310.2974.3 314.58 330.16 314.58 315.235
4.35 319.10 335.47 319.10 320.1944.4 323.44 340.80 323.44 325.172
4.45 327.62 346.16 327.62 330.1714.5 331.62 351.54 331.62 335.189
4.55 335.47 356.94 335.47 340.2264.6 339.14 362.36 339.14 345.283
4.65 342.65 367.81 342.65 350.3604.7 345.98 373.28 345.98 355.455
4.75 349.16 378.77 349.16 360.5704.8 352.16 384.28 352.16 365.703
4.85 355.00 389.82 355.00 370.855
0 1 2 3 4 5 6 70.0
100.0
200.0
300.0
400.0
500.0
600.0
f´c CCC
4.9 357.66 395.37 357.66 376.0264.95 360.17 400.95 360.17 381.215
5 362.50 406.55 362.50 386.4225.05 364.67 412.17 364.67 391.648
5.1 366.66 417.81 366.66 396.8925.15 368.50 423.48 368.50 402.154
5.2 370.16 429.16 370.16 407.4345.25 371.66 434.87 371.66 412.732
5.3 372.98 440.59 372.98 418.0475.35 374.15 446.34 374.15 423.380
5.4 375.14 452.11 375.14 428.7305.45 375.97 457.89 375.97 434.098
5.5 376.62 463.70 376.62 439.4835.55 377.12 469.53 377.12 444.885
5.6 377.44 475.38 377.44 450.3055.65 377.60 481.24 377.60 455.741
5.7 377.59 487.13 377.59 461.1945.75 377.41 493.04 377.41 466.664
5.8 377.06 498.96 377.06 472.1515.85 376.55 504.91 376.55 477.654
0 1 2 3 4 5 6 7
-800.00
-600.00
-400.00
-200.00
0.00
200.00
400.00
600.00
f(x) = 44.0088379782024 x^1.32519647664133R² = 0.997034439565977f(x) = − 0.3898055341033 x² + 77.972708384935 x − 29.862328468162R² = 0.991409608723062
Column B
Column C
Column D
Power (Column D)
Polynomial (Column D)
0 1 2 3 4 5 6 7
-800.00
-600.00
-400.00
-200.00
0.00
200.00
400.00
600.00
Column B
Column C
Column D
Column E
0 1 2 3 4 5 6 70.0
100.0
200.0
300.0
400.0
500.0
600.0
f´c CCC
0 1 2 3 4 5 6 70.0
100.0
200.0
300.0
400.0
500.0
600.0
f´c CCC