AÑO TPDA 1 2 3 4 5 6 7 X1967 60 13 6 18 11 3 8 1 01968 109 24 35 19 15 4 11 1 11969 95 13 28 21 20 3 2 8 21970 138 15 37 59 12 0 15 0 31971 174 30 41 33 12 15 22 21 41972 130 19 26 37 23 5 15 5 51973 246 44 61 65 16 22 30 8 61974 167 35 47 25 18 7 21 14 71975 146 18 59 23 17 7 14 8 81976 0 0 0 0 0 0 0 0 01977 195 30 66 37 19 8 16 19 91978 385 65 148 58 32 14 36 32 101979 425 84 142 47 42 13 51 46 111980 483 82 198 57 23 13 51 59 121981 0 0 0 0 0 0 0 0 01982 299 29 124 52 25 9 21 39 131983 307 49 131 45 21 25 36 141984 313 42 126 68 22 4 23 28 151985 286 50 112 56 20 6 16 26 161986 345 70 120 51 42 10 22 30 171987 0 0 0 0 0 0 0 0 01988 0 0 0 0 0 0 0 0 01989 454 95 199 48 22 7 31 52 181990 437 87 198 48 21 11 32 40 191991 384 66 163 73 15 6 30 31 201992 467 59 232 87 14 8 29 38 211993 483 65 256 74 15 8 34 31 221994 458 66 255 61 19 17 39 1 231995 585 176 193 66 20 49 66 15 24

7571 1326 3003 1228 516 249 660 589 300

AÑO TPDA 1 2 3 4 5 6 7 total1967 60 13 6 18 11 3 8 1 381968 109 24 35 19 15 4 11 1 461969 95 13 28 21 20 3 2 8 511970 138 15 37 59 12 0 15 0 861971 174 30 41 33 12 15 22 21 881972 130 19 26 37 23 5 15 5 801973 246 44 61 65 16 22 30 8 1191974 167 35 47 25 18 7 21 14 78

1975 146 18 59 23 17 7 14 8 621976 0 0 0 0 0 0 0 0 01977 195 30 66 37 19 8 16 19 911978 385 65 148 58 32 14 36 32 1581979 425 84 142 47 42 13 51 46 1861980 483 82 198 57 23 13 51 59 1901981 0 0 0 0 0 0 0 0 01982 299 29 124 52 25 9 21 39 1371983 307 49 131 45 21 25 36 1271984 313 42 126 68 22 4 23 28 1411985 286 50 112 56 20 6 16 26 1181986 345 70 120 51 42 10 22 30 1451987 0 0 0 0 0 0 0 0 01988 0 0 0 0 0 0 0 0 01989 454 95 199 48 22 7 31 52 1531990 437 87 198 48 21 11 32 40 1411991 384 66 163 73 15 6 30 31 1491992 467 59 232 87 14 8 29 38 1681993 483 65 256 74 15 8 34 31 1541994 458 66 255 61 19 17 39 1 1201995 585 176 193 66 20 49 66 15 167

7571 1326 3003 1228 516 249 660 589 29931 2 3 4 5 6 7 20

factor equivalente3 4 6 7

1.609 0.699 2.2 4.484

proyeccion para el año 2013AÑO TPDA 1 2 3 4 5 6 7 TOTAL V.P2013 1555 577 445 214 30 40 187 62 493

43.41% 6.09% 37.93% 12.58%0.69843 0.04254 0.834369 0.5638856 1054.64

los 493 vehiculos equivalen a 1054,6355 ejes de 18,000 libras por diaequivalencia anual = 384942

X^2 Y^2 X*Y Log Y X*Log Y (Log Y)^20 3600 0 1.778 0.000 3.1621 11881 109 2.037 2.037 4.151 a=4 9025 190 1.978 3.955 3.911 b=9 19044 414 2.140 6.420 4.579 X=

16 30276 696 2.241 8.962 5.020 r=25 16900 650 2.114 10.570 4.46936 60516 1476 2.391 14.346 5.71749 27889 1169 2.223 15.559 4.94064 21316 1168 2.164 17.315 4.684 a=

0 0 0 0.000 0.000 0.000 b=81 38025 1755 2.290 20.610 5.244 X=

100 148225 3850 2.585 25.855 6.685 r=121 180625 4675 2.628 28.912 6.908144 233289 5796 2.684 32.207 7.204

0 0 0 0.000 0.000 0.000169 89401 3887 2.476 32.184 6.129196 94249 4298 2.487 34.820 6.186225 97969 4695 2.496 37.433 6.228256 81796 4576 2.456 39.302 6.034289 119025 5865 2.538 43.143 6.441

0 0 0 0.000 0.000 0.0000 0 0 0.000 0.000 0.000

324 206116 8172 2.657 47.827 7.060361 190969 8303 2.640 50.169 6.972400 147456 7680 2.584 51.687 6.679441 218089 9807 2.669 56.056 7.125484 233289 10626 2.684 59.047 7.204529 209764 10534 2.661 61.200 7.080576 342225 14040 2.767 66.412 7.657

4900 2830959 114431 60.369 766.027 147.468

%63.33%42.20%53.68%62.32%50.57%61.54%48.37%46.71%

42.47%

46.67%41.04%43.76%39.34%

45.82%41.37%45.05%41.26%42.03%

33.70%32.27%38.80%35.97%31.88%26.20%28.55%39.53%

FEC

2.14%

METODO LINEAL TPDA

85.1876923Y= 85,188 + 18,138 * X

18.137692345

Y= 902 VEHICULOS89.15%

METODO EXPONENCIAL

2.03080002Log Y= 2,031 + 0,032 * X

0.0319973445

Y= 2956 VEHICULOS88.72%

902

AÑO 1 X X^2 Y^2 X*Y Log Y X*Log Y1 1967 13 0 0 169 0 1.11394335 01 1968 24 1 1 576 24 1.38021124 1.380211241 1969 13 2 4 169 26 1.11394335 2.22788671 1970 15 3 9 225 45 1.17609126 3.528273781 1971 30 4 16 900 120 1.47712125 5.908485021 1972 19 5 25 361 95 1.2787536 6.3937681 1973 44 6 36 1936 264 1.64345268 9.860716061 1974 35 7 49 1225 245 1.54406804 10.80847631 1975 18 8 64 324 144 1.25527251 10.042181 1977 30 9 81 900 270 1.47712125 13.29409131 1978 65 10 100 4225 650 1.81291336 18.12913361 1979 84 11 121 7056 924 1.92427929 21.16707211 1980 82 12 144 6724 984 1.91381385 22.96576621 1982 29 13 169 841 377 1.462398 19.0111741 1983 49 14 196 2401 686 1.69019608 23.66274511 1984 42 15 225 1764 630 1.62324929 24.34873941 1985 50 16 256 2500 800 1.69897 27.18352011 1986 70 17 289 4900 1190 1.84509804 31.36666671 1989 95 18 324 9025 1710 1.97772361 35.59902491 1990 87 19 361 7569 1653 1.93951925 36.85086581 1991 66 20 400 4356 1320 1.81954394 36.39087871 1992 59 21 441 3481 1239 1.77085201 37.18789221 1993 65 22 484 4225 1430 1.81291336 39.88409381 1994 66 23 529 4356 1518 1.81954394 41.84951051 1995 176 24 576 30976 4224 2.24551267 53.892304

25 1326 300 4900 101184 20568 40.8165052 532.933476

METODO LINEAL

a= 10.061538462Y= 10,062 + 3,582 * X

b= 3.5815384615X= 46

Y= 175 VEHICULOSr= 73.52%

METODO EXPONENCIAL

a= 1.234487165Log Y=1,234 + 0,033 * X

b= 0.033181087X= 46

Y= 577 VEHICULOSr= 82.11%

577

(Log Y)^21.240869791.904983071.240869791.38319065

2.18188721.63521077

2.70093672.384146131.57570906

2.18188723.286654843.702850773.66268346

2.13860792.856762792.634938262.886499083.404386783.911390663.761734933.310740133.135916853.286654843.310740135.0423271468.7625789

AÑO 2 X X^2 Y^2 X*Y Log Y X*Log Y1 1967 6 0 0 36 0 0.77815125 01 1968 35 1 1 1225 35 1.54406804 1.544068041 1969 28 2 4 784 56 1.44715803 2.894316061 1970 37 3 9 1369 111 1.56820172 4.704605171 1971 41 4 16 1681 164 1.61278386 6.451135431 1972 26 5 25 676 130 1.41497335 7.074866741 1973 61 6 36 3721 366 1.78532984 10.7119791 1974 47 7 49 2209 329 1.67209786 11.7046851 1975 59 8 64 3481 472 1.77085201 14.16681611 1977 66 9 81 4356 594 1.81954394 16.37589541 1978 148 10 100 21904 1480 2.17026172 21.70261721 1979 142 11 121 20164 1562 2.15228834 23.67517181 1980 198 12 144 39204 2376 2.29666519 27.55998231 1982 124 13 169 15376 1612 2.09342169 27.21448191 1983 131 14 196 17161 1834 2.1172713 29.64179811 1984 126 15 225 15876 1890 2.10037055 31.50555821 1985 112 16 256 12544 1792 2.04921802 32.78748841 1986 120 17 289 14400 2040 2.07918125 35.34608121 1989 199 18 324 39601 3582 2.29885308 41.37935541 1990 198 19 361 39204 3762 2.29666519 43.63663861 1991 163 20 400 26569 3260 2.2121876 44.24375211 1992 232 21 441 53824 4872 2.36548798 49.67524771 1993 256 22 484 65536 5632 2.40823997 52.98127921 1994 255 23 529 65025 5865 2.40654018 55.35042411 1995 193 24 576 37249 4632 2.28555731 54.8533754

25 3003 300 4900 503175 48448 48.7453693 647.181619

METODO LINEAL

a= 5.5476923077Y= 5,548 + 9,548 * X

b= 9.5476923077X= 46

Y= 445 VEHICULOSr= 91.21%

METODO EXPONENCIAL

a= 1.3753176544Log Y=1,375 + 0,048 * X

b= 0.0478747596X= 46

Y= 3781 VEHICULOSr= 88.41%445

(Log Y)^20.605519372.384146132.094266372.459256652.601071772.002149583.187402622.795911253.135916853.310740134.710035914.63234512

5.2746714.382414354.482837744.41155643

4.19929454.322994655.28472547

5.2746714.893774

5.595533415.799619735.791435645.2237722198.8560619

AÑO 3 X X^2 Y^2 X*Y Log Y X*Log Y1 1967 18 0 0 324 0 1.25527251 01 1968 19 1 1 361 19 1.2787536 1.27875361 1969 21 2 4 441 42 1.32221929 2.644438591 1970 59 3 9 3481 177 1.77085201 5.312556031 1971 33 4 16 1089 132 1.51851394 6.074055761 1972 37 5 25 1369 185 1.56820172 7.841008621 1973 65 6 36 4225 390 1.81291336 10.87748011 1974 25 7 49 625 175 1.39794001 9.785580061 1975 23 8 64 529 184 1.36172784 10.89382271 1977 37 9 81 1369 333 1.56820172 14.11381551 1978 58 10 100 3364 580 1.76342799 17.63427991 1979 47 11 121 2209 517 1.67209786 18.39307641 1980 57 12 144 3249 684 1.75587486 21.07049831 1982 52 13 169 2704 676 1.71600334 22.30804351 1983 45 14 196 2025 630 1.65321251 23.14497521 1984 68 15 225 4624 1020 1.83250891 27.48763371 1985 56 16 256 3136 896 1.74818803 27.97100841 1986 51 17 289 2601 867 1.70757018 29.0286931 1989 48 18 324 2304 864 1.68124124 30.26234231 1990 48 19 361 2304 912 1.68124124 31.94358351 1991 73 20 400 5329 1460 1.86332286 37.26645721 1992 87 21 441 7569 1827 1.93951925 40.72990431 1993 74 22 484 5476 1628 1.86923172 41.12309781 1994 61 23 529 3721 1403 1.78532984 41.06258621 1995 66 24 576 4356 1584 1.81954394 43.6690545

25 1228 300 4900 68784 17185 41.3429098 521.916745

METODO LINEAL

a= 26.513846154Y= 26,514 + 1,884 * X

b= 1.8838461538X= 46

Y= 114 VEHICULOSr= 73.83%

METODO EXPONENCIAL

a= 1.4155456696Log Y=1,416 + 0,02 * X

b= 0.0198475601X= 46

Y= 214 VEHICULOSr= 74.58%214

(Log Y)^21.575709061.635210771.748263863.135916852.305884592.459256653.286654841.95423627

1.85430272.459256653.109678292.795911253.083096512.944667482.733111623.358088923.056161382.91579591

2.82657212.8265721

3.471972083.761734933.494027223.187402623.3107401369.2902247

AÑO 4 X X^2 Y^2 X*Y Log Y X*Log Y1 1967 11 0 0 121 0 1.04139269 01 1968 15 1 1 225 15 1.17609126 1.176091261 1969 20 2 4 400 40 1.30103 2.602059991 1970 12 3 9 144 36 1.07918125 3.237543741 1971 12 4 16 144 48 1.07918125 4.316724981 1972 23 5 25 529 115 1.36172784 6.808639181 1973 16 6 36 256 96 1.20411998 7.22471991 1974 18 7 49 324 126 1.25527251 8.786907541 1975 17 8 64 289 136 1.23044892 9.843591371 1977 19 9 81 361 171 1.2787536 11.50878241 1978 32 10 100 1024 320 1.50514998 15.05149981 1979 42 11 121 1764 462 1.62324929 17.85574221 1980 23 12 144 529 276 1.36172784 16.3407341 1982 25 13 169 625 325 1.39794001 18.17322011 1983 21 14 196 441 294 1.32221929 18.51107011 1984 22 15 225 484 330 1.34242268 20.13634021 1985 20 16 256 400 320 1.30103 20.81647991 1986 42 17 289 1764 714 1.62324929 27.59523791 1989 22 18 324 484 396 1.34242268 24.16360831 1990 21 19 361 441 399 1.32221929 25.12216661 1991 15 20 400 225 300 1.17609126 23.52182521 1992 14 21 441 196 294 1.14612804 24.06868871 1993 15 22 484 225 330 1.17609126 25.87400771 1994 19 23 529 361 437 1.2787536 29.41133281 1995 20 24 576 400 480 1.30103 31.2247199

25 516 300 4900 12156 6460 32.2269238 393.371734

METODO LINEAL

a= 18.166153846Y= 18,166 + 0,206 * X

b= 0.2061538462X= 46

Y= 28 VEHICULOSr= 19.16%

METODO EXPONENCIAL

a= 1.2277048107Log Y=1,228 + 0,005 * X

b= 0.005114345X= 46

Y= 30 VEHICULOSr= 25.55%30

(Log Y)^21.084498721.383190651.692679051.164632161.16463216

1.85430271.449904931.575709061.514004551.635210772.265476462.63493826

1.85430271.954236271.748263861.802098651.692679052.634938261.802098651.748263861.383190651.313609471.383190651.635210771.6926790542.0639414

AÑO 5 X X^2 Y^2 X*Y Log Y X*Log Y (Log Y)^21 1967 3 0 0 9 0 0.47712125 0 0.227644691 1968 4 1 1 16 4 0.60205999 0.60205999 0.362476231 1969 3 2 4 9 6 0.47712125 0.95424251 0.227644691 1970 15 3 9 225 45 1.17609126 3.52827378 1.383190651 1971 5 4 16 25 20 0.69897 2.79588002 0.488559071 1972 22 5 25 484 110 1.34242268 6.7121134 1.802098651 1973 7 6 36 49 42 0.84509804 5.07058824 0.71419071 1974 7 7 49 49 49 0.84509804 5.91568628 0.71419071 1976 8 8 64 64 64 0.90308999 7.2247199 0.815571521 1977 14 9 81 196 126 1.14612804 10.3151523 1.313609471 1978 13 10 100 169 130 1.11394335 11.1394335 1.240869791 1979 13 11 121 169 143 1.11394335 12.2533769 1.240869791 1981 9 12 144 81 108 0.95424251 11.4509101 0.910578771 1982 4 13 169 16 52 0.60205999 7.82677989 0.362476231 1983 6 14 196 36 84 0.77815125 10.8941175 0.605519371 1984 10 15 225 100 150 1 15 11 1987 7 16 256 49 112 0.84509804 13.5215686 0.71419071 1988 11 17 289 121 187 1.04139269 17.7036756 1.084498721 1989 6 18 324 36 108 0.77815125 14.0067225 0.605519371 1990 8 19 361 64 152 0.90308999 17.1587098 0.815571521 1991 8 20 400 64 160 0.90308999 18.0617997 0.815571521 1992 17 21 441 289 357 1.23044892 25.8394273 1.514004551 1993 49 22 484 2401 1078 1.69019608 37.1843138 2.85676279

23 249 253 3795 4721 3287 21.467008 255.159552 21.8156095

METODO LINEAL

a= 4.8695652174Y= 4,87 + 0,542 * X

b= 0.5415019763X= 46

Y= 30 VEHICULOSr= 38.28%

METODO EXPONENCIAL

a= 0.7265822563Log Y=0,727 + 0,019 * X

b= 0.0187969014X= 46

Y= 40 VEHICULOSr= 44.83%40

AÑO 6 X X^2 Y^2 X*Y Log Y X*Log Y1 1967 8 0 0 64 0 0.90308999 01 1968 11 1 1 121 11 1.04139269 1.041392691 1969 2 2 4 4 4 0.30103 0.602059991 1970 15 3 9 225 45 1.17609126 3.528273781 1971 22 4 16 484 88 1.34242268 5.369690721 1972 15 5 25 225 75 1.17609126 5.88045631 1973 30 6 36 900 180 1.47712125 8.862727531 1974 21 7 49 441 147 1.32221929 9.255535061 1975 14 8 64 196 112 1.14612804 9.169024291 1977 16 9 81 256 144 1.20411998 10.83707981 1978 36 10 100 1296 360 1.5563025 15.5630251 1979 51 11 121 2601 561 1.70757018 18.78327191 1980 51 12 144 2601 612 1.70757018 20.49084211 1982 21 13 169 441 273 1.32221929 17.18885081 1983 25 14 196 625 350 1.39794001 19.57116011 1984 23 15 225 529 345 1.36172784 20.42591751 1985 16 16 256 256 256 1.20411998 19.26591971 1986 22 17 289 484 374 1.34242268 22.82118561 1989 31 18 324 961 558 1.49136169 26.84451051 1990 32 19 361 1024 608 1.50514998 28.59784961 1991 30 20 400 900 600 1.47712125 29.54242511 1992 29 21 441 841 609 1.462398 30.7103581 1993 34 22 484 1156 748 1.53147892 33.69253621 1994 39 23 529 1521 897 1.59106461 36.5944861 1995 66 24 576 4356 1584 1.81954394 43.6690545

25 660 300 4900 22508 9541 33.5676975 438.307633

METODO LINEAL

a= 11.436923077Y= 11,437 + 1,247 * X

b= 1.2469230769X= 46

Y= 69 VEHICULOSr= 63.05%

METODO EXPONENCIAL

a= 1.0150593169Log Y=1,015 + 0,027 * X

b= 0.0273040485X= 46

Y= 187 VEHICULOSr= 65.76%187

(Log Y)^20.815571521.084498720.090619061.383190651.802098651.38319065

2.18188721.748263861.313609471.449904932.422077472.915795912.915795911.748263861.95423627

1.85430271.449904931.80209865

2.22415972.26547646

2.18188722.1386079

2.345427672.531486583.3107401347.3130961

AÑO 7 X X^2 Y^2 X*Y Log Y X*Log Y1 1967 1 0 0 1 0 0 01 1968 1 1 1 1 1 0 01 1969 8 2 4 64 16 0.903089987 1.806179971 1971 21 3 9 441 63 1.3222192947 3.966657881 1972 5 4 16 25 20 0.6989700043 2.795880021 1973 8 5 25 64 40 0.903089987 4.515449931 1974 14 6 36 196 84 1.1461280357 6.876768211 1975 8 7 49 64 56 0.903089987 6.321629911 1977 19 8 64 361 152 1.278753601 10.23002881 1978 32 9 81 1024 288 1.5051499783 13.54634981 1979 46 10 100 2116 460 1.6627578317 16.62757831 1980 59 11 121 3481 649 1.7708520116 19.47937211 1982 39 12 144 1521 468 1.591064607 19.09277531 1983 36 13 169 1296 468 1.5563025008 20.23193251 1984 28 14 196 784 392 1.4471580313 20.26021241 1985 26 15 225 676 390 1.414973348 21.22460021 1986 30 16 256 900 480 1.4771212547 23.63394011 1989 52 17 289 2704 884 1.7160033436 29.17205681 1990 40 18 324 1600 720 1.6020599913 28.83707981 1991 31 19 361 961 589 1.4913616938 28.33587221 1992 38 20 400 1444 760 1.5797835966 31.59567191 1993 31 21 441 961 651 1.4913616938 31.31859561 1994 1 22 484 1 22 0 01 1995 15 23 529 225 345 1.1760912591 27.050099

24 589 276 4324 20911 7998 28.637382038 366.918731

METODO LINEAL

a= 12.296666667Y= 12,297 + 1,065 * X

b= 1.0647826087X= 46

Y= 62 VEHICULOSr= 44.94%

METODO EXPONENCIAL

a= 0.8173358775Log Y=0,817 + 0,033 * X

b= 0.0326859456X= 46

Y= 210 VEHICULOSr= 42.83%62

(Log Y)^200

0.815571521.748263860.488559070.815571521.313609470.815571521.635210772.265476462.764763613.135916852.531486582.422077472.094266372.00214958

2.18188722.944667482.56659622

2.22415972.49571621

2.22415970

1.3831906540.8688718

DISEÑO DE PAVIMENTO FLEXIBLE (METODO AASHTO)

3.005356

DATOS VALORESW18= 1054.64LogW18= 3.023Z= -1.037R= 85So= 0.45SN= 0.88Log(SN+1)= 0.274∆PSI= 1.7Mr= 9000LogMr= 3.954CBR= 6

Log W18= ZR*So+9.36Log(SN+1)-0.20+((Log(∆PSI/(4.2-1.5)))/(0.4+(10.94/(SN+1)^5.19)))+2.32LogMr-8.07Log W18=

INGRESAR EL SN EN ESTA CELDA

∆PSI/(4.2-1.5)))/(0.4+(10.94/(SN+1)^5.19)))+2.32LogMr-8.07

SN EN ESTA CELDA