"
" """"""""""""""""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" " " " """"""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" "
RCTVG"VGQTKEC""
30 Fghkpc"gp"swg"eqpukuvg"wp"ukuvgoc"fg"cnecpvctknncfq0""Eqplwpvq"fg"qdtcu"rctc"nc"tgeqngeekôp."eqpfweekôp"{"fkurqukekôp"hkpcn" fg" ciwcu"tgukfwcngu"q"ciwcu"rnwxkcngu0"""
40 Eqoq"ug"encukhkecp"nqu"ukuvgocu"fg"cnecpvctknncfq"{"fguetîdcnqu0""
Vkrq"fg"Cnecpvctknncfq"
Tgeqngeekôp"{"fgucnqlq"fg"
ciwcu"
Fkâogvtq"oîpkoq"]o_"
Fkâogvtq"oîpkoq"]rwni_"
Ucpkvctkq"Fqoguvkecu"{1q"Kpfwuvtkcngu"
203" 6"
Rnwxkcn" Fg"nnwxkc" 204" :"
Eqodkpcfq"Fqoguvkecu."
kpfwuvtkcngu"{"fg"nnwxkc"
205" 34"
"50 Eqoq"ug"fgvgtokpc"nc"rqdncekôp"fg"fkugòq"{"swg"oêvqfqu"eqpqegA"
"Ogfkcpvg" wpc" rtq{geekôp" fg" nc" rqdncekôp" kpkekcn." wvknk|cpfq" nqu" ukiwkgpvgu"oêvqfqu<""Oêvqfq"Ctkvoêvkeq<"
,,*3 +
322h q
k vR R= +
""Oêvqfq"igqoêvtkeq<"
v
qh
kRR
+=322
3,"
"Oêvqfq"Gzrqpgpekcn<"
322
,
,vk
qh gRR ="
"Oêvqfq"fg"Ycrrcwu<""
⋅−
⋅+⋅=
vk
vkRqRh
422
422
""Gn" rtq{gevkuvc" fgdg" gxcnwct" ncu" vgpfgpekcu" fg" etgekokgpvq" gp" hwpekôp" c" ncu"cevkxkfcfgu"geqpôokecu"fg"nc"rqdncekôp"{"tgeqogpfct"nc"oâu"crtqrkcfc0"
"60 Eqoq" ug" fghkpg" gn" eqghkekgpvg" fg" tgvqtpq" {" gpvtg" swg" xcnqtgu" ug"
gpewgpvtcA""Gn"eqghkekgpvg"fg"tgvqtpq"*E+"gu"nc"tgncekôp"swg"gzkuvg"gpvtg"gn"ecwfcn"ogfkq"fg"ciwcu" tgukfwcngu" fqoêuvkecu" {" gn" ecwfcn" ogfkq" fg" ciwc" swg" eqpuwog" nc"rqdncekôp0" Fgn" vqvcn" fg" ciwc" eqpuwokfc." uqnq" wpc" rctvg" eqpvtkdw{g" cn"cnecpvctknncfq." rwgu" gn" ucnfq" gu" wvknk|cfq" rctc" ncxcfq" fg" xgjîewnqu." ncxcfq" fg"cegtcu" {" ecnngu." tkgiq" fg" lctfkpgu" {" jwgtvcu." kttkicekôp" fg" rctswgu" rûdnkequ."vgttc|cu" fg"tgukfgpekcu"{"qvtqu0"Fg"guvc" ocpgtc." gn" eqghkekgpvg" fg" tgvqtpq"fgrgpfg"fg"hcevqtgu"nqecngu"eqoq"nc"nqecnk|cekôp"{"vkrq"fg"xkxkgpfc."eqpfkekôp"fg"ncu"ecnngu"*rcxkogpvcfcu"q"pq+."vkrq"fg"enkoc"w"qvtqu"hcevqtgu0""Ug"fgdgp"wvknk|ct"xcnqtgu"gpvtg"gn"82"'"cn":2"'"fg"nc"fqvcekôp"fg"ciwc"rqvcdng0"Xcnqtgu"ogpqtgu"{"oc{qtgu"c"guvg" tcpiq" fgdgp" ugt" lwuvkhkecfqu" rqt" gn"rtq{gevkuvc0""
70 Eqoq" fghkpg" gn" eqghkekgpvg" fg" rwpvc" {" eqoq" ug" nq" rwgfg"fgvgtokpctA"
"Gn"eqghkekgpvg"fg"rwpvc"›Ofi"gu"nc"tgncekôp"gpvtg"gn"ecwfcn"oâzkoq"jqtctkq"{"gn"ecwfcn"ogfkq"fkctkq0" ""Gn"eqghkekgpvg"fg"rwpvc"uktxg"rctc"guvkoct"gn"ecwfcn"oâzkoq"jqtctkq"eqp"dcug"gp"gn"ecwfcn""ogfkq"fkctkq."vkgpg"gp"ewgpvc"ncu"xctkcekqpgu"fgn"eqpuwoq"fg"ciwc0"""Nc" " xctkcekôp" fgn" eqghkekgpvg" fg" rwpvc" ›Ofi" fgdg" ugt" guvkocfc" eqp" dcug" c"tgncekqpgu"fg"Jctoqp"{"Dcddkv."xânkfcu"rctc"rqdncekqpgu"fg"3222"]jcd_"c"3222"222" ]jcd_=" nc" tgncekôp" fg"Hnqtgu." gp" ncu" ewcngu" ug" guvkoc" ›Ofi" gp" hwpekôp" fgn"pûogtq"fg"jcdkvcpvgu="nc"tgncekôp"fg"Rúrgn"rctc"rqdncekqpgu"swg"xctîcp"fg"7222"c"472222"]jcd_0"["vcodkêp"ug"fgdg"vqoct"gp""ewgpvc" nqu" eqghkekgpvgu" fg"xctkcekôp"fg"ecwfcn"m3"{"m40""Gn"eqghkekgpvg"fg"rwpvc"fgdg"ugt"qdvgpkfq"ogfkcpvg"ncu"ukiwkgpvgu"gewcekqpgu<""Eqghkekgpvg"fg"Jctoqp<"
207
363
6O
r= +
+ "R?Rqdncekôp"gp"okngu"fg"jcdkvcpvgu"Uw"cnecpeg"guvâ"tgeqogpfcfq"gp"gn"tcpiq<"4">"O">"5.:""""""
"
" """"""""""""""""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" " " " """"""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" "
Eqghkekgpvg"fg"Ikhhv<"
38902
7
hrO = "
R"?"Rqdncekôp"gp"okngu"fg"jcdkvcpvgu""Eqghkekgpvg"fg"Dcddkv<"
4202
7
RO =
"R"?"Rqdncekôp"gp"okngu"fg"jcdkvcpvgu"""Eqghkekgpvg"fg"Hnqtgu<"
3202
705
RO =
"R"?"Pwogtq"vqvcn"fg"jcdkvcpvgu""Eqghkekgpvg"m3"{"m4<"
43 ,mmO ="
"m3""Eqghkekgpvg"fg"oâzkoq"ecwfcn" fkctkq."gu""nc"tgncekôp"gpvtg"gn"oc{qt"ecwfcn"fkctkq" xgtkhkecfq" cn" còq" {" gn" ecwfcn" ogfkq" fkctkq" cpwcn0" Gn" eqghkekgpvg" fg"oâzkoq"ecwfcn"fkctkq"m3."xctkc"gpvtg"3.4"c"3.7."ugiûp"ncu" ectcevgtîuvkecu" fg" nc"rqdncekôp0" Nqu" xcnqtgu"oc{qtgu" fg" m3." eqttgurqpfgp" c" rqdncekqpgu"ogpqtgu."fqpfg"nqu"jâdkvqu"{"equvwodtgu"fg"nc"rqdncekôp"uqp"ogpqtgu0""m4"Eqghkekgpvg"fg"oâzkoq"ecwfcn"jqtctkq."gu"nc"tgncekôp"gpvtg"gn"oc{qt"ecwfcn"qdugtxcfq"gp"wpc"jqtc"fgn"fîc"fg"oc{qt"eqpuwoq"{"gn"ecwfcn"ogfkq"fgn"okuoq"fîc0" Gn" eqghkekgpvg" fg" oâzkoq" ecwfcn" jqtctkq" m4." xctîc" ugiûp" gn" pûogtq" fg"jcdkvcpvgu."eqoq"ug"owguvtc"gp"nc"vcdnc"4090"""
Rqdncekôp"]jcd_" Eqghkekgpvg"m4"Jcuvc"4"222" 4.4"c"4.22"Fg"4"223"c"32"222" 4.22"c"3.:2"Fg"32"223"c"322"222" 3.:2"c"3.72"Ocu"fg"322"222" 3.72"
"""""""
Eqghkekgpvg"fg"Rqrgn<"Rqdncekôp" O"
Ogpqu"7222" 406/402"
7222/32222" 402/30:7"
32222/72222" 30:7/3082"
72222/472222" 3082/3055"
Oc{qtgu"472222" 3055"
""
80 Eqp" swg" hqtownc" gorîtkec" ug" tgcnk|c" gn" fkugòq" fg" nqu" eqpfwevqu"ektewnctguA."{"fg"swg"rctcogpvqu"fgrgpfgA"
"Gewcekôp"fg"Ocppkpi<"
413514 ,,3
UTp
X J="
Swg" fgrgpfg" fg=" Nc" xgnqekfcf" *X+." eqghkekgpvg" fg" twiqukfcf" *p+." Tcfkq"jkftâwnkeq"*TJ+"{"nc"Rgpfkgpvg"*U+""
90 Swg" etkvgtkqu" ug" eqpukfgtcp" rctc" ictcpvk|ct" nc" eqpfkekôp" fg"cwvqnkorkg|c"gp"nqu"eqngevqtgu"fg"cnecpvctknncfqA"
"Xgnqekfcf"Oîpkoc<"
"Gp"ncu"tgfgu"fg"cnecpvctknncfq"ucpkvctkq"{"rnwxkcn."rctc"gxkvct"qduvtweekqpgu."ncu"rgpfkgpvgu" fg" hqpfq" fg" nqu" eqngevqtgu" fgdgp" ugt" vcngu" swg" ocpvgpicp" wpc"xgnqekfcf" ucvkuhcevqtkc" fg" guewttkokgpvq" fgpqokpcfc" xgnqekfcf" fg" cwvq"nkorkg|c" swg" korkfg" nc" ugfkogpvcekôp" fg" uônkfqu" uwurgpfkfqu." ctgpc" hkpc" {"itcxknnc" rctc" nq" ewcn" ug" tgswkgtg" wpc" xgnqekfcf"oîpkoc" ewcpfq" nc" cnecpvctknnc"vtcdclg"nngpc"fg"2082"o1u"rctc"cnecpvctknncfq"ucpkvctkq0""Rtqhwpfkfcf"fg"Kpuvcncekôp<"
"Nc"rtqhwpfkfcf"okpkoc"ugtâ"fg"302"]o_"guvq"rqt"nqu"ukiwkgpvgu"curgevqu<""
c+ Rctc" coqtvkiwct" nc"oc{qt" rctvg" fg" ncu" ecticu" swg" ug" gpewgpvtcp" rqt"gpekoc"fg"nc"vwdgtîc0"
d+ Rctc"gxkvct"eqpigncekôp."ncu"jgncfcu"tctc"xg|"rgpgvtcp"ocu"fg"3022"]o_"e+ Pq"igpgtct"kpvgthgtgpekcu"eqp"qvtqu"ugtxkekqu0"f+ Rgtokvkt"gn"ftgpclg"rqt"itcxgfcf"fg"ncu"ciwcu"tgukfwcngu"rtqxgpkgpvgu"
fg"jcdkvcekqpgu"g"kpfwuvtkcu0"g+ Ukp" godctiq" rctc" cugiwtct" wp" ftgpclg" cfgewcfq" fg" nqu" ctvghcevqu"
rtqxgpkgpvgu" fg" kpfwuvtkcu" {" jcdkvcekqpgu." cuî" eqoq" gn" uwokpkuvtq" fg"nqu" ukuvgocu" rnwxkcngu" w" c" qdlgvq" fg" gxkvct" kpvgthgtgpekcu" eqp" nqu"
"
" """"""""""""""""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" " " " """"""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" "
eqpfwevqu" fg" qvtqu" ugtxkekqu" rûdnkequ" ug" ceqpuglc" rtqhwpfkfcfgu" fg"3072"c"4022"ogvtqu"rctc"cnecpvctknncfq"ucpkvctkq0"
"TGEWDTKOKGPVQ"OKPKOQ<"
"→Tgf"rtkpekrcn"" ""3022"]o_"
Tgf"rtkpekrcn"ıtgc" →xgtfg" ""2077"]o_"Tcocngu"rqt"gn" →ogfkq"fg"nqu"nqvgu" "2057"]o_"
""Rgpfkgpvgu"Oîpkocu"Cfokukdngu<"
"Nc" rgpfkgpvg" oîpkoc" ugtâ" fgvgtokpcfc" eqp" nc" hkpcnkfcf" fg" ictcpvk|ct" nc"eqpfkekôp"fg"cwvqnkorkg|c."fg"cewgtfq"c"nc"ukiwkgpvg"tgncekôp"fg"ecwfcngu0""
37023202 cS
So
nn
="
Fqpfg<"So"?"Ecwfcn"rctekcnogpvg"nngpq"Snn""?"Ecwfcn"hwvwtq"q"ugeekôp"nngpc"
"Rctc"cnecpvctknncfq"ucpkvctkq"nc"tgncekôp<""
3702=nnS
So
""Rctc"rnwxkcn<""
3202=nnS
So
""""""""""""""
Rgpfkgpvg"okpkoc"cfokukdng"Sr1Snn"
F"]rni_" F"]o_" U"]q1qq_" X"]o1u_" S"]n1u_"6" 2032" 808:" 2076" 6044"8" 2037" 6068" 207:" 32039":" 2042" 5056" 2082" 3:0;8"32" 2047" 4089" 2085" 52097"34" 2052" 4045" 2087" 67087"36" 2057" 30;3" 2088" 85097"38" 2062" 3089" 208:" :7035"3:" 2067" 306;" 208;" 32;0::"42" 2072" 3056" 2092" 35:028"
""
:0 Eqoq"ug"fghkpg"nc"vgpukôp"vtcevkxc."eqp"swg"gewcekôp"ug"nc"ecnewncA""Ug"fghkpg"eqoq"nc"oîpkoc"vgpukôp"pgeguctkc"rctc"gn"kpkekq"fg"oqxkokgpvq"fg"ncu"rctvîewncu"q"ugfkogpvqu"fgrqukvcfqu"gp"ncu"cnecpvctknncu0""Gn" eqpqekokgpvq" fg" nc" hwgt|c" vtcevkxc" fg" cttcuvtg" q" vgpukôp" vcpigpekcn" gu"pgeguctkc" rctc" guvcdngegt" gn" cttcuvtg" fg" ncu" rctvîewncu" uwurgpfkfcu" gp" gn" ciwc"gxkvcpfq" nc" qduvtweekôp" fg" ncu" cnecpvctknncu" {" rctc" eqpvtqnct" swg" pq" gzkuvc"eqpfkekqpgu" uêrvkecu." nq" swg" rtqfweg" uwnhwtqu" {" rqt" vcpvq" nc" eqttqukôp" gp" ncu"cnecpvctknncu0"
"Nqu"xcnqtgu"oîpkoqu"uqp<""" Rctc"ucpkvctkq" "?"3]Rc_"?"203"]]mih1o4_τ """
;0 Fghkpc"gp"swg"eqpukuvg"wp"ukuvgoc"fg"cnecpvctknncfq"eqpfqokpkcn0""Uqp"ukuvgocu"swg"tgeqigp"ncu"ciwcu"tgukfwcngu"fg"wp"eqplwpvq"fg"xkxkgpfcu"swg"pqtocnogpvg" guvâp" wdkecfcu" gp" wp" âtgc" kphgtkqt" c" 3" ]jc_."ogfkcpvg" gn" ›tcocn"eqpfqokpkcnfi." {" swg" ug" eqpgevc" c" nc" tgf" rûdnkec" c" vtcxêu" fg" wp" rwpvq" fg"kpurgeekôp0""""""""""
"
" """"""""""""""""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" " " " """"""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" "
320 Fguetkdc"nqu"vkrqu"fg"vtc|cfq"fg"tcocngu"eqpfqokpkcngu0""Tcocn"rqt"gn"htgpvg"fg"nqu"nqvgu<""
""Tcocn"rqt"gn"hqpfq"fg"nqu"nqvgu<""
"""Tcocn"rqt"ncu"cegtcu<""
"""""
""""""""
RCTVG""RTıEVKEC"
"30 Tgcnk|ct"gn"fkugòq"fg"nc"tgf"rtkpekrcn"fgn"ukuvgoc"fg"cnecpvctknncfq"
ucpkvctkq"fg" nc" hkiwtc." eqpukfgtcpfq"wpc"rqdncekôp" kpkekcn"fg"422"]jcd_."eqp"wpc"fqvcekôp"kpkekcn"fg"322"]n1jcd/f_"{"wp"eqghkekgpvg"fg"tgvqtpq"fg"82'."ukgpfq"nc"vcuc"fg"kphknvtcekôp"kiwcn"c"3"]n1u"mo_"{"gn"eqghkekgpvg"fg"eqpgzkqpgu"gttcfcu"gu"fg"32""'0"
""
c+ Ecnewnct" nc" rqdncekôp" hwvwtc." eqp" wp" rgtkqfq" fg" fkugòq" fg" 32"]còqu_"{"wp"îpfkeg"fg"etgekokgpvq"fg"304"'"*Oêvqfq"Igqoêvtkeq+0"
_]560447
322
4033,422
+322
3*,
32
jcdR
R
kRR
h
h
v
qh
=
+=
+=
"
"d+ Ecnewnct"nc"fqvcekôp"hwvwtc"rctc"wp"îpfkeg"fg"etgekokgpvq"fg"3"'0"
[ ]fjcdnF
F
kFF
h
h
v
qh
−=
+=
+=
1680332
322
33,322
3223,
32
"
"e+ Ecnewnct" nc" Fgpukfcf" Rqdncekqpcn" vqvcn." eqpukfgtcpfq" wp" ıtgc"
vqvcn"fg"406"]Jc_0"
[ ]cd1Jc:;40;5604560447
jF
F
C
RF
rqd
rqd
vqvcn
h
rqd
=
=
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"
"f+ Ecnewnct" gn" fkâogvtq" fg" nc" tgf" rtkpekrcn." nc" xgnqekfcf" tgcn" {" nc"
vgpukôp" vtcevkxc" eqpukfgtcpfq" swg" ewornc" ncu" eqpfkekqpgu" fg"cwvqnkorkg|c0"
"""
Tgf"Rwdnkec"
Tgf"Rwdnkec"
Tgf"Rwdnkec"
"
" """"""""""""""""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" " " " """"""""""""""""""""""""""""hwpm{lcogtBjqvockn0eqo"" "
Eqghkekgpvg"fg"Rwpvc="*Hqtownc"fg"Ikhhv+<""
6308
3222560447
7
7
38902
38902
=
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O
rO
h
"
""Fg"nc"rncpknnc"gzvtcgoqu<""
Cámaras Rasante [m] Recubrimiento [m] Diámetro v real
De A sup. inf. sup. inf. [cm] [m/s]
5 4 77,9 77,6 1,0 4,5 10 0,567
4 3 77,6 77,3 1,0 2,5 10 0,559
3,1 3 77,8 77,3 1,0 3,0 10 0,553
3 2 77,3 77,2 1,0 2,0 10 0,578
2 1 77,2 77,1 1,0 2,0 10 0,596
""""""""""""""""""""""
""""""
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