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7/31/2019 trabajo N1 de mecanica de rocas
1/12
UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 1
Valores: r
/r 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00
0 0.00 0.75 1.33 1.59 1.81 1.99 2.12 2.21 2.26 2.30 2.34
5 0.00 0.75 1.33 1.59 1.81 1.99 2.12 2.21 2.26 2.30 2.34
10 0.00 0.86 1.33 1.61 1.79 1.92 2.01 2.08 2.13 2.17 2.20
15 0.00 0.85 1.32 1.61 1.79 1.92 2.01 2.08 2.14 2.18 2.21
20 0.00 0.85 1.32 1.60 1.79 1.92 2.02 2.09 2.14 2.19 2.22
25 0.00 0.84 1.31 1.60 1.79 1.93 2.03 2.10 2.16 2.20 2.24
30 0.00 0.83 1.30 1.60 1.80 1.93 2.04 2.11 2.17 2.22 2.25
35 0.00 0.82 1.29 1.59 1.80 1.94 2.04 2.12 2.19 2.23 2.27
40 0.00 0.81 1.28 1.59 1.80 1.95 2.06 2.14 2.20 2.25 2.29
45 0.00 0.80 1.28 1.59 1.80 1.95 2.07 2.15 2.22 2.27 2.31
50 0.00 0.78 1.27 1.58 1.80 1.96 2.08 2.17 2.24 2.29 2.34
55 0.00 0.77 1.26 1.58 1.80 1.97 2.09 2.18 2.25 2.31 2.36
60 0.00 0.76 1.25 1.58 1.81 1.97 2.10 2.19 2.27 2.33 2.38
65 0.00 0.75 1.24 1.57 1.81 1.98 2.11 2.20 2.28 2.34 2.39
70 0.00 0.74 1.23 1.57 1.81 1.98 2.11 2.21 2.29 2.36 2.41
75 0.00 0.74 1.23 1.57 1.81 1.99 2.12 2.22 2.30 2.37 2.42
80 0.00 0.73 1.23 1.57 1.81 1.99 2.12 2.23 2.31 2.38 2.43
85 0.00 0.73 1.22 1.57 1.81 1.99 2.13 2.23 2.31 2.38 2.43
90 0.00 0.73 1.22 1.57 1.81 1.99 2.13 2.23 2.32 2.38 2.44
PZ 2.40
r/a 1/a
k 1.17
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 2
/r 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00
0 2.36 2.38 2.40 2.42 2.43 2.44 2.45 2.45 2.46 2.47
5 2.36 2.38 2.40 2.42 2.43 2.44 2.45 2.45 2.46 2.47
10 2.23 2.25 2.27 2.28 2.30 2.31 2.32 2.32 2.33 2.34
15 2.24 2.26 2.28 2.29 2.31 2.32 2.33 2.34 2.34 2.35
20 2.25 2.27 2.29 2.31 2.32 2.33 2.34 2.35 2.36 2.37
25 2.27 2.29 2.31 2.33 2.34 2.35 2.36 2.37 2.38 2.39
30 2.28 2.31 2.33 2.35 2.36 2.38 2.39 2.40 2.41 2.41
35 2.31 2.33 2.35 2.37 2.39 2.40 2.41 2.42 2.43 2.44
40 2.33 2.35 2.38 2.40 2.41 2.43 2.44 2.45 2.46 2.47
45 2.35 2.38 2.40 2.42 2.44 2.46 2.47 2.48 2.49 2.50
50 2.37 2.40 2.43 2.45 2.47 2.48 2.50 2.51 2.52 2.53
55 2.39 2.43 2.45 2.48 2.49 2.51 2.53 2.54 2.55 2.56
60 2.41 2.45 2.48 2.50 2.52 2.54 2.55 2.56 2.58 2.59
65 2.43 2.47 2.50 2.52 2.54 2.56 2.57 2.59 2.60 2.61
70 2.45 2.48 2.51 2.54 2.56 2.58 2.59 2.61 2.62 2.63
75 2.46 2.50 2.53 2.55 2.58 2.59 2.61 2.63 2.64 2.65
80 2.47 2.51 2.54 2.57 2.59 2.61 2.62 2.64 2.65 2.66
85 2.48 2.51 2.55 2.57 2.59 2.61 2.63 2.65 2.66 2.67
90 2.48 2.52 2.55 2.57 2.60 2.62 2.63 2.65 2.66 2.67
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7/31/2019 trabajo N1 de mecanica de rocas
3/12
UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 3
Valores:
/r 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
0 6.024 4.91147222 4.29588005 3.91857129 3.67000274 3.49725 3.37214179 3.27852951 3.20659949 3.15009965 3.10488889
5 6.01160313 4.90388918 4.29036058 3.91405336 3.66601783 3.49356968 3.36864567 3.27515006 3.20329681 3.14684916 3.10167488
10 5.97478918 4.88137046 4.27396986 3.90063685 3.65418418 3.48264054 3.35826354 3.26511437 3.19348912 3.13719647 3.09213053
15 5.91467673 4.84460029 4.24720592 3.87872942 3.63486134 3.46479465 3.34131085 3.24872738 3.17747443 3.12143487 3.07654582
20 5.83309227 4.79469591 4.21088198 3.8489967 3.60863643 3.44057427 3.31830271 3.22648699 3.15573933 3.10004327 3.05539429
25 5.73251469 4.73317363 4.16610171 3.81234211 3.57630628 3.4107153 3.2899382 3.19906898 3.12894423 3.07367163 3.02931862
30 5.616 4.66190278 4.11422574 3.76987939 3.53885322 3.376125 3.25707916 3.16730642 3.09790329 3.04312125 2.99911111
35 5.48708844 4.58304889 4.0568303 3.72289875 3.49741526 3.33785438 3.220724 3.13216441 3.06355968 3.00932039 2.96568959
40 5.34969691 4.49900789 3.99565931 3.67282765 3.45325145 3.29706627 3.18197736 3.09471071 3.02695689 2.97329606 2.93006957
45 5.208 4.41233333 3.93257143 3.6211875 3.4077037 3.255 3.14201653 3.05608333 2.9892071 2.93614286 2.89333333
50 5.06630309 4.32565877 3.86948355 3.56954735 3.36215595 3.21293373 3.1020557 3.01745596 2.95145731 2.89898965 2.8565971
55 4.92891156 4.24161778 3.80831256 3.51947625 3.31799215 3.17214562 3.06330905 2.98000226 2.91485452 2.86296533 2.82097707
60 4.8 4.16276389 3.75091712 3.47249561 3.27655418 3.133875 3.0269539 2.94486024 2.88051091 2.82916446 2.78755556
65 4.68348531 4.09149304 3.69904115 3.43003289 3.23910113 3.0992847 2.99409486 2.91309768 2.84946997 2.79861408 2.75734804
70 4.58290773 4.02997076 3.65426088 3.3933783 3.20677098 3.06942573 2.96573035 2.88567967 2.82267487 2.77224245 2.73127238
75 4.50132327 3.98006638 3.61793693 3.36364558 3.18054607 3.04520535 2.9427222 2.86343929 2.80093977 2.75085084 2.71012085
80 4.44121082 3.9432962 3.591173 3.34173815 3.16122323 3.02735946 2.92576952 2.8470523 2.78492508 2.73508924 2.69453614
85 4.40439687 3.92077749 3.57478228 3.32832164 3.14938958 3.01643032 2.91538738 2.83701661 2.77511739 2.72543655 2.68499178
90 4.392 3.91319444 3.56926281 3.32380371 3.14540466 3.01275 2.91189126 2.83363715 2.77181471 2.72218607 2.68177778
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 4
/r 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5
0 3.06813336 3.0378392 3.01256962 2.99126747 2.97314063 2.95758582 2.94413696 2.93242923 2.92217372 2.9131392
5 3.06494547 3.03467041 3.00941504 2.98812366 2.97000509 2.95445672 2.94101294 2.92930925 2.91905699 2.91002511
10 3.05547867 3.02526031 3.00004717 2.97878776 2.96069375 2.9451645 2.93173578 2.92004409 2.90980149 2.90077744
15 3.0400206 3.00989482 2.98475064 2.96354343 2.94548952 2.92999151 2.91658739 2.90491529 2.89468844 2.88567719
20 3.01904095 2.98904083 2.96399022 2.94285386 2.92485439 2.90939875 2.89602802 2.88438251 2.87417706 2.86518318
25 2.99317717 2.96333195 2.93839672 2.9173477 2.89941534 2.88401194 2.87068237 2.85906965 2.84889057 2.83991809
30 2.96321512 2.93354936 2.90874777 2.88779994 2.86994531 2.85460243 2.84132055 2.82974581 2.81959728 2.8106496
35 2.93006518 2.90059797 2.87594425 2.85510837 2.83733975 2.82206383 2.8088347 2.79730198 2.78718725 2.77826702
40 2.8947346 2.865479 2.84098287 2.82026631 2.80258936 2.7873848 2.7742119 2.76272396 2.75264526 2.7437542645 2.85829688 2.82925952 2.80492593 2.78433241 2.76675 2.75161905 2.73850413 2.72706238 2.71702083 2.70816
50 2.82185915 2.79304003 2.76886898 2.74839851 2.73091064 2.71585329 2.70279637 2.6914008 2.68139641 2.67256574
55 2.78652857 2.75792106 2.7339076 2.71355645 2.69616025 2.68117426 2.66817356 2.65682278 2.64685441 2.63805298
60 2.75337863 2.72496967 2.70110408 2.68086488 2.66355469 2.64863566 2.63568772 2.62437896 2.61444439 2.6056704
65 2.72341658 2.69518708 2.67145513 2.65131712 2.63408466 2.61922616 2.6063259 2.59505512 2.5851511 2.57640191
70 2.6975528 2.66947821 2.64586163 2.62581096 2.60864561 2.59383935 2.58098025 2.56974225 2.5598646 2.55113682
75 2.67657315 2.64862421 2.62510122 2.60512139 2.58801048 2.57324659 2.56042088 2.54920947 2.53935322 2.53064281
80 2.66111508 2.63325872 2.60980468 2.58987706 2.57280625 2.55807359 2.54527248 2.53408067 2.52424018 2.51554256
85 2.65164828 2.62384862 2.60043681 2.58054116 2.56349491 2.54878137 2.53599533 2.52481552 2.51498468 2.50629489
90 2.64846039 2.62067983 2.59728224 2.57739735 2.56035938 2.54565227 2.5328713 2.52169553 2.51186795 2.5031808
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 5
Valores:
/r 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
0 0 0.19219444 0.25285464 0.26999121 0.27162689 0.26775 0.26217226 0.25638715 0.25096264 0.24608403 0.24177778
5 0 0.18927458 0.24901321 0.26588944 0.26750026 0.26368228 0.25818927 0.25249206 0.24714995 0.24234546 0.23810463
10 0 0.1806037 0.23760564 0.25370875 0.25524578 0.2516027 0.24636133 0.24092512 0.23582774 0.23124334 0.22719679
15 0 0.16644527 0.21897855 0.23381925 0.23523578 0.2318783 0.22704783 0.22203779 0.21734002 0.21311502 0.2093857
20 0 0.14722949 0.19369789 0.20682527 0.20807827 0.2051084 0.2008356 0.19640395 0.19224854 0.1885113 0.18521252
25 0 0.12354021 0.16253183 0.17354701 0.1745984 0.17210638 0.16852108 0.16480249 0.16131568 0.15817976 0.15541176
30 0 0.09609722 0.12642732 0.13499561 0.13581344 0.133875 0.13108613 0.12819358 0.12548132 0.12304201 0.12088889
35 0 0.06573437 0.08648138 0.09234243 0.09290187 0.09157589 0.08966819 0.08768957 0.08583428 0.08416569 0.08269287
40 0 0.03337422 0.04390775 0.04688348 0.04716751 0.0464943 0.04552573 0.04452116 0.04357921 0.04273204 0.0419842745 0 1.1773E-17 1.5489E-17 1.6539E-17 1.6639E-17 1.6402E-17 1.606E-17 1.5706E-17 1.5373E-17 1.5074E-17 1.4811E-17
50 0 -0.03337422 -0.04390775 -0.04688348 -0.04716751 -0.0464943 -0.04552573 -0.04452116 -0.04357921 -0.04273204 -0.04198427
55 0 -0.06573437 -0.08648138 -0.09234243 -0.09290187 -0.09157589 -0.08966819 -0.08768957 -0.08583428 -0.08416569 -0.08269287
60 0 -0.09609722 -0.12642732 -0.13499561 -0.13581344 -0.133875 -0.13108613 -0.12819358 -0.12548132 -0.12304201 -0.12088889
65 0 -0.12354021 -0.16253183 -0.17354701 -0.1745984 -0.17210638 -0.16852108 -0.16480249 -0.16131568 -0.15817976 -0.15541176
70 0 -0.14722949 -0.19369789 -0.20682527 -0.20807827 -0.2051084 -0.2008356 -0.19640395 -0.19224854 -0.1885113 -0.18521252
75 0 -0.16644527 -0.21897855 -0.23381925 -0.23523578 -0.2318783 -0.22704783 -0.22203779 -0.21734002 -0.21311502 -0.2093857
80 0 -0.1806037 -0.23760564 -0.25370875 -0.25524578 -0.2516027 -0.24636133 -0.24092512 -0.23582774 -0.23124334 -0.22719679
85 0 -0.18927458 -0.24901321 -0.26588944 -0.26750026 -0.26368228 -0.25818927 -0.25249206 -0.24714995 -0.24234546 -0.23810463
90 0 -0.19219444 -0.25285464 -0.26999121 -0.27162689 -0.26775 -0.26217226 -0.25638715 -0.25096264 -0.24608403 -0.24177778
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 6
/r 3.2 3.4 3.6 3.8 4 4.2 4.4 4.6 4.8 5
0 0.23800726 0.23471443 0.23183779 0.22931979 0.22710938 0.22516248 0.22344155 0.22191482 0.22055545 0.2193408
5 0.2343914 0.23114859 0.22831565 0.2258359 0.22365907 0.22174175 0.22004697 0.21854343 0.21720471 0.21600852
10 0.22365367 0.22055942 0.21785626 0.21549011 0.213413 0.21158352 0.20996638 0.20853171 0.20725433 0.20611293
15 0.20612034 0.20326866 0.20077742 0.19859676 0.19668249 0.19499643 0.19350606 0.19218387 0.19100662 0.1899547
20 0.18232414 0.17980169 0.17759805 0.17566915 0.17397587 0.17248447 0.17116616 0.16999661 0.16895527 0.1680248
25 0.15298812 0.15087153 0.14902246 0.14740392 0.14598309 0.14473165 0.14362546 0.14264409 0.14177031 0.14098955
30 0.11900363 0.11735722 0.1159189 0.11465989 0.11355469 0.11258124 0.11172078 0.11095741 0.11027772 0.1096704
35 0.08140328 0.08027706 0.07929319 0.07843199 0.07767598 0.0770101 0.07642151 0.07589934 0.07543441 0.07501897
40 0.04132953 0.04075773 0.04025821 0.03982096 0.03943713 0.03909905 0.03880022 0.0385351 0.03829905 0.0380881345 1.458E-17 1.4378E-17 1.4202E-17 1.4048E-17 1.3912E-17 1.3793E-17 1.3687E-17 1.3594E-17 1.3511E-17 1.3436E-17
50 -0.04132953 -0.04075773 -0.04025821 -0.03982096 -0.03943713 -0.03909905 -0.03880022 -0.0385351 -0.03829905 -0.03808813
55 -0.08140328 -0.08027706 -0.07929319 -0.07843199 -0.07767598 -0.0770101 -0.07642151 -0.07589934 -0.07543441 -0.07501897
60 -0.11900363 -0.11735722 -0.1159189 -0.11465989 -0.11355469 -0.11258124 -0.11172078 -0.11095741 -0.11027772 -0.1096704
65 -0.15298812 -0.15087153 -0.14902246 -0.14740392 -0.14598309 -0.14473165 -0.14362546 -0.14264409 -0.14177031 -0.14098955
70 -0.18232414 -0.17980169 -0.17759805 -0.17566915 -0.17397587 -0.17248447 -0.17116616 -0.16999661 -0.16895527 -0.1680248
75 -0.20612034 -0.20326866 -0.20077742 -0.19859676 -0.19668249 -0.19499643 -0.19350606 -0.19218387 -0.19100662 -0.1899547
80 -0.22365367 -0.22055942 -0.21785626 -0.21549011 -0.213413 -0.21158352 -0.20996638 -0.20853171 -0.20725433 -0.20611293
85 -0.2343914 -0.23114859 -0.22831565 -0.2258359 -0.22365907 -0.22174175 -0.22004697 -0.21854343 -0.21720471 -0.21600852
90 -0.23800726 -0.23471443 -0.23183779 -0.22931979 -0.22710938 -0.22516248 -0.22344155 -0.22191482 -0.22055545 -0.2193408
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 7
Valores:1
/r 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.000 6.02 4.92 4.32 3.95 3.71 3.54 3.42 3.34 3.27 3.22 3.17
5 6.01 4.91 4.31 3.94 3.70 3.54 3.42 3.33 3.26 3.21 3.17
10 5.97 4.89 4.29 3.93 3.69 3.52 3.40 3.31 3.24 3.19 3.15
15 5.91 4.85 4.26 3.90 3.66 3.50 3.38 3.29 3.22 3.17 3.12
20 5.83 4.80 4.22 3.87 3.63 3.47 3.35 3.26 3.19 3.14 3.09
25 5.73 4.74 4.18 3.83 3.59 3.43 3.31 3.22 3.16 3.10 3.06
30 5.62 4.66 4.12 3.78 3.55 3.39 3.27 3.18 3.11 3.06 3.02
35 5.49 4.58 4.06 3.73 3.50 3.34 3.23 3.14 3.07 3.02 2.98
40 5.35 4.50 4.00 3.67 3.45 3.30 3.18 3.10 3.03 2.98 2.93
45 5.21 4.41 3.93 3.62 3.41 3.26 3.14 3.06 2.99 2.94 2.89
50 5.07 4.33 3.87 3.57 3.36 3.21 3.10 3.02 2.95 2.90 2.86
55 4.93 4.24 3.81 3.52 3.32 3.18 3.07 2.99 2.93 2.88 2.84
60 4.80 4.17 3.76 3.48 3.29 3.15 3.05 2.97 2.91 2.86 2.82
65 4.68 4.10 3.71 3.45 3.26 3.13 3.02 2.95 2.89 2.85 2.81
70 4.58 4.04 3.67 3.42 3.24 3.11 3.01 2.94 2.89 2.84 2.82
75 4.50 3.99 3.64 3.39 3.22 3.09 3.00 2.93 2.88 2.85 2.82
80 4.44 3.95 3.61 3.38 3.21 3.09 3.00 2.93 2.88 2.85 2.82
85 4.40 3.93 3.60 3.37 3.20 3.08 2.99 2.93 2.88 2.85 2.83
90 4.39 3.92 3.60 3.36 3.20 3.08 2.99 2.93 2.88 2.85 2.83
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 8
/r 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00
0 3.14 3.11 3.09 3.07 3.06 3.04 3.03 3.02 3.01 3.00
5 3.14 3.11 3.09 3.07 3.05 3.04 3.02 3.01 3.01 3.00
10 3.11 3.08 3.06 3.04 3.02 3.01 3.00 2.99 2.98 2.97
15 3.09 3.06 3.04 3.02 3.00 2.99 2.97 2.96 2.95 2.95
20 3.06 3.03 3.01 2.99 2.97 2.96 2.94 2.93 2.92 2.92
25 3.02 3.00 2.97 2.95 2.94 2.92 2.91 2.90 2.89 2.88
30 2.98 2.95 2.93 2.91 2.89 2.88 2.87 2.86 2.85 2.84
35 2.94 2.91 2.89 2.87 2.85 2.84 2.82 2.81 2.80 2.79
40 2.90 2.87 2.84 2.82 2.81 2.79 2.78 2.77 2.76 2.75
45 2.86 2.83 2.80 2.78 2.77 2.75 2.74 2.73 2.72 2.71
50 2.83 2.80 2.77 2.75 2.74 2.72 2.71 2.70 2.69 2.68
55 2.80 2.78 2.75 2.74 2.72 2.71 2.70 2.69 2.69 2.68
60 2.79 2.77 2.75 2.74 2.73 2.72 2.71 2.71 2.71 2.71
65 2.79 2.77 2.76 2.75 2.74 2.74 2.73 2.73 2.73 2.74
70 2.79 2.78 2.77 2.76 2.76 2.76 2.76 2.76 2.76 2.76
75 2.80 2.79 2.78 2.78 2.78 2.78 2.78 2.78 2.79 2.79
80 2.81 2.80 2.80 2.79 2.79 2.80 2.80 2.80 2.80 2.81
85 2.81 2.81 2.80 2.80 2.80 2.81 2.81 2.81 2.82 2.82
90 2.82 2.81 2.81 2.81 2.81 2.81 2.81 2.82 2.82 2.82
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7/31/2019 trabajo N1 de mecanica de rocas
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UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 9
Valores:2
/r 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00
0 0.00 0.75 1.31 1.56 1.77 1.95 2.07 2.15 2.20 2.24 2.27
5 0.00 0.75 1.31 1.56 1.77 1.95 2.07 2.15 2.20 2.24 2.27
10 0.00 0.85 1.31 1.58 1.76 1.88 1.96 2.03 2.08 2.12 2.15
15 0.00 0.85 1.31 1.58 1.76 1.89 1.97 2.04 2.09 2.13 2.16
20 0.00 0.84 1.30 1.58 1.77 1.90 1.99 2.06 2.11 2.15 2.18
25 0.00 0.84 1.30 1.59 1.78 1.91 2.00 2.08 2.13 2.17 2.21
30 0.00 0.83 1.30 1.59 1.78 1.92 2.02 2.10 2.15 2.20 2.24
35 0.00 0.82 1.29 1.59 1.79 1.93 2.04 2.12 2.18 2.23 2.26
40 0.00 0.81 1.28 1.59 1.80 1.94 2.05 2.14 2.20 2.25 2.2945 0.00 0.80 1.28 1.59 1.80 1.95 2.07 2.15 2.22 2.27 2.31
50 0.00 0.78 1.27 1.58 1.80 1.96 2.07 2.16 2.23 2.29 2.33
55 0.00 0.77 1.25 1.58 1.80 1.96 2.08 2.17 2.24 2.30 2.34
60 0.00 0.76 1.24 1.57 1.79 1.96 2.08 2.17 2.24 2.30 2.34
65 0.00 0.75 1.23 1.56 1.79 1.95 2.07 2.17 2.24 2.29 2.34
70 0.00 0.74 1.22 1.55 1.78 1.94 2.07 2.16 2.23 2.28 2.32
75 0.00 0.73 1.21 1.54 1.77 1.94 2.06 2.15 2.22 2.27 2.31
80 0.00 0.72 1.20 1.53 1.76 1.93 2.05 2.15 2.21 2.26 2.30
85 0.00 0.72 1.20 1.53 1.76 1.93 2.05 2.14 2.21 2.26 2.29
90 0.00 0.72 1.20 1.52 1.76 1.93 2.05 2.14 2.20 2.25 2.29
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7/31/2019 trabajo N1 de mecanica de rocas
10/12
UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 10
/r 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.000 2.29 2.31 2.32 2.34 2.35 2.35 2.36 2.37 2.37 2.38
5 2.29 2.31 2.32 2.34 2.35 2.36 2.36 2.37 2.37 2.38
10 2.17 2.19 2.21 2.22 2.23 2.24 2.25 2.26 2.26 2.27
15 2.19 2.21 2.22 2.24 2.25 2.26 2.27 2.28 2.28 2.29
20 2.21 2.23 2.25 2.26 2.28 2.29 2.30 2.30 2.31 2.32
25 2.24 2.26 2.28 2.29 2.31 2.32 2.33 2.33 2.34 2.35
30 2.26 2.29 2.31 2.33 2.34 2.35 2.36 2.37 2.38 2.39
35 2.29 2.32 2.34 2.36 2.38 2.39 2.40 2.41 2.42 2.42
40 2.32 2.35 2.37 2.39 2.41 2.42 2.44 2.45 2.46 2.46
45 2.35 2.38 2.40 2.42 2.44 2.46 2.47 2.48 2.49 2.50
50 2.37 2.40 2.42 2.44 2.46 2.48 2.49 2.50 2.51 2.52
55 2.38 2.41 2.43 2.45 2.47 2.48 2.49 2.50 2.51 2.51
60 2.38 2.40 2.43 2.44 2.46 2.47 2.47 2.48 2.48 2.49
65 2.37 2.39 2.41 2.42 2.43 2.44 2.45 2.45 2.45 2.45
70 2.35 2.37 2.39 2.40 2.41 2.41 2.42 2.42 2.42 2.42
75 2.34 2.36 2.37 2.38 2.39 2.39 2.39 2.39 2.39 2.39
80 2.32 2.34 2.35 2.36 2.37 2.37 2.37 2.37 2.37 2.37
85 2.31 2.33 2.34 2.35 2.35 2.36 2.36 2.36 2.36 2.36
90 2.31 2.33 2.34 2.35 2.35 2.35 2.35 2.35 2.35 2.35
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7/31/2019 trabajo N1 de mecanica de rocas
11/12
UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 11
Valores:
/r 1.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00
0 0.00 2.64 4.84 6.52 8.14 9.79 11.37 12.77 14.00 15.10 16.10
5 0.00 2.61 4.77 6.44 8.04 9.67 11.24 12.64 13.86 14.96 15.96
10 0.00 2.57 4.58 6.24 7.66 8.91 10.02 11.03 11.94 12.76 13.51
15 0.00 2.38 4.26 5.81 7.16 8.35 9.43 10.42 11.32 12.14 12.90
20 0.00 2.13 3.81 5.22 6.45 7.57 8.59 9.53 10.41 11.23 11.98
25 0.00 1.82 3.25 4.46 5.54 6.54 7.47 8.35 9.18 9.97 10.71
30 0.00 1.44 2.57 3.54 4.43 5.26 6.06 6.82 7.57 8.29 8.99
35 0.00 1.00 1.79 2.48 3.12 3.73 4.34 4.94 5.53 6.13 6.72
40 0.00 0.52 0.93 1.29 1.63 1.97 2.31 2.66 3.02 3.38 3.7645 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50 0.00 -0.54 -0.97 -1.35 -1.73 -2.12 -2.54 -2.98 -3.47 -4.00 -4.58
55 0.00 -1.09 -1.94 -2.72 -3.50 -4.32 -5.20 -6.18 -7.26 -8.46 -9.79
60 0.00 -1.62 -2.89 -4.05 -5.23 -6.49 -7.87 -9.41 -11.13 -13.05 -15.19
65 0.00 -2.12 -3.77 -5.29 -6.85 -8.53 -10.39 -12.46 -14.79 -17.37 -20.21
70 0.00 -2.56 -4.55 -6.39 -8.29 -10.34 -12.61 -15.16 -17.98 -21.09 -24.41
75 0.00 -2.93 -5.20 -7.30 -9.47 -11.82 -14.44 -17.35 -20.55 -24.00 -27.61
80 0.00 -3.21 -5.68 -7.98 -10.35 -12.93 -15.78 -18.94 -22.39 -26.05 -29.82
85 0.00 -3.38 -5.98 -8.39 -10.89 -13.60 -16.61 -19.91 -23.49 -27.26 -31.09
90 0.00 -3.44 -6.08 -8.54 -11.07 -13.83 -16.88 -20.24 -23.86 -27.66 -31.51
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7/31/2019 trabajo N1 de mecanica de rocas
12/12
UNMSM MECANICA DE ROCAS
APLICADA A LA MINERIA
Pgina 12
/r 3.20 3.40 3.60 3.80 4.00 4.20 4.40 4.60 4.80 5.00
0 17.01 17.84 18.59 19.27 19.88 20.45 20.96 21.42 21.85 22.24
5 16.87 17.70 18.45 19.13 19.75 20.31 20.83 21.30 21.73 22.12
10 14.19 14.81 15.37 15.87 16.34 16.76 17.14 17.49 17.82 18.11
15 13.59 14.22 14.80 15.33 15.81 16.26 16.66 17.03 17.37 17.69
20 12.68 13.33 13.93 14.49 15.00 15.47 15.91 16.31 16.68 17.02
25 11.41 12.07 12.69 13.27 13.81 14.31 14.78 15.22 15.63 16.01
30 9.66 10.31 10.93 11.52 12.08 12.61 13.11 13.59 14.04 14.46
35 7.30 7.88 8.44 9.00 9.54 10.06 10.57 11.06 11.53 11.99
40 4.14 4.53 4.93 5.33 5.74 6.15 6.56 6.96 7.37 7.7745 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
50 -5.21 -5.90 -6.65 -7.47 -8.36 -9.32 -10.37 -11.50 -12.73 -14.04
55 -11.27 -12.90 -14.70 -16.67 -18.80 -21.07 -23.48 -25.97 -28.52 -31.08
60 -17.55 -20.13 -22.88 -25.78 -28.76 -31.74 -34.65 -37.43 -40.04 -42.44
65 -23.27 -26.48 -29.76 -33.02 -36.17 -39.13 -41.85 -44.31 43.49 41.54
70 -27.88 -31.39 -34.81 -38.05 -41.04 -43.75 43.85 41.73 39.87 38.25
75 -31.27 -34.85 -38.23 -41.33 -44.11 43.43 41.27 39.39 37.76 36.34
80 -33.54 -37.10 -40.39 -43.35 44.03 41.74 39.75 38.02 36.53 35.23
85 -34.83 -38.35 -41.57 -44.45 43.03 40.84 38.94 37.30 35.88 34.65
90 -35.25 -38.76 -41.95 -44.79 42.72 40.56 38.69 37.07 35.68 34.47
