DISEÑO AUTOMATIZADO DE ESTRUCTURAS - COLISEO CERRADO DE LA UNIVERSIDAD NACIONAL DE CAJAMARCA

KK @cglvapc Gm`kcgmj na Kglagkavïm Ap~vq`~qvmj Ap~vq`~qvmj Pïpok`m { Xqag~ap Jkom* 65 { 6< na Om{c na 6885

‚NKPAÝC MQ^COM^KRMNC NA AP^VQ@^QVMP / @CJKPAC @AVVMNC NA JM QGKUAVPKNMN GM@KCGMJ NA @MBMOMV@M‟ =' KG^VCNQ@@KCG Aj xvapag~a xvc{a`~c xvc{a`~c ap aj vapqj~mnc naj ~vmfmbc na qg a}qkxc dqomgc* ncgna ncgna jm aoxvapm xvkumnm O[PVJ m ~vmuëp na Fqagumuag~qvm Kglagkavcp P'M' gcp xvap~ð mpapcvïmp ~ë`gk`mp kgumjqmfjap `coc jm naj Mv}' Mjecgpc na jm Xkanvm ag aj napmvvcjjc naj Xvc{a`~c Mv}qk~a`~ðgk`c* aj Kgl' Omv`cp Oagncrm Jkgmvap ag aj napmvvcjjc na ap~vq`~qvmp* ag~va c~vmp' Ap~a xvc{a`~c ap qg `coxjabc naxcv~kuc }qa `cgp~m na jmp pklqkag~ap ap~vq`~qvmp2 8= @cjkpac nkuknknc ag =8 pa`~cvap* 85 pa`~cvap `cgecvomncp xcv xðv~k`cp { oqvcp na pð~mgcp na `cg`va~c mvomgnc* 8> pa`~cvap na oqvcp na `cg`va~c mvomgnc9 8= ~a`dc jkukmgc na màvc ag ecvom na ncoc apeëvk`c $pqxavek`ka xcjkënvk`m+9 8= ankek`kc `coxjaoag~mvkc na 8< gkuajap9 8= xqag~a xam~cgmj na `cg`va~c mvomnc pcfva aj m`àpc uadk`qjmv naj `cjkpac9 8= xqag~a xam~cgmj okt~c { qg nq`~c ag~avvmnc na `cg`va~c mvomnc }qa `coqgk`mg mj ankek`kc `coxjaoag~mvkc `cg jm ~vkfqgm na dcgcv { jmp rcgmp na `moavkgcp vapxa`~kumoag~a* jmp `qmjap ag pq ~c~mjknmn dmg pknc ocnajmnmp `cg aj qpc na xvclvmomp `coxq~m`kcgmjap xmvm aj mgíjkpkp { nkpaýc na ap~vq`~qvmp' ='='@MVM@ÂVÏP^K@MP LAGAVMJAP ANKEK@KC @COXJAOAG^MVKC2 @cgp~k~qknc xcv pka~a gkuajap* na pð~mgc m ~mg}qa ajaumnc* pa aoxjamvcg oqvcp na pð~mgc na apxapcv 8'61o* xjm`mp na `cg`va~c mvomnc ag jcp naoíp gkuajap na 8'61o xmvm `cg~vcjmv jcp napxjmrmokag~cp na jm ap~vq`~qvm9 `cjqogmp ag ecvom na J* ^* va`~mglqjmvap* `qmnvmnmp xmvm xcnav nmvja jm vklknar mna`qmnm ag mofmp nkva``kcgap9 uklmp xavmj~mnmp xmvm jqàp lvmgnap9 jcpmp mjklavmnmp na 8'61o naj gkuaj pð~mgc mj `qmv~c xkpc* jcpm mjklavmnm na 8'68o ag aj pat~c xkpc* jcpm om`krm ag aj pð~mgc $jcpm na `kp~avgm+* jcpm om`krm na 8'61o ag aj `qmv~c na oí}qkgmp naj mpàgpcv $}qkg~c xkpc+'

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@CJKPAC2 Jcp lvmnavïcp na ~cncp jcp pa`~cvap na jmp ~vkfqgmp dmg pknc xjmg~amnmp xcv jm qgkðg na uklmp $8'=1ot8'18o+ { jcpmp jjagmp $8'84o na xavmj~a+* ~cncp jcp pa`~cvap ap~íg `cgecvomncp xcv xðv~k`cp { oqvcp na pð~mgc na `cg`va~c mvomnc* pa q~kjkrmvcg `cjqogmp na ecvom va`~mglqjmv* ^9 jcpmp mjklavmnmp na 8'68 { 8'61o na xavmj~a9 uklmp `cg xavmj~ap umvkmfjap na 8'>8 o m 8'<8 o'

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Ekl=' Anke'' @coxjaoag~mvkc

‐

^vkfqgmp @cjkpac2 Xvkg`kxmj* Pa`~cv P;* Pa`~cv ^ïxk`c

XQAGÂ XAM^CGMJ NA @CG@VA^C MVOMNC2 Ap~a xqag~a em`kjk~m jm `kv`qjm`kðg na xam~cgap pcfva aj m`àpc uadk`qjmv naj `cjkpac* `cgecvomnc xcv qg ~mfjavc na 8'=61o na xavmj~a aj `qmj pa ag`qag~vm ag`qag~vm mxc{mnc pcfva pcfva qgm uklm àg~vmj na 8'08ot8'11o ag aj ~vmoc na rcgm

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KGP^K^Q^C NA JM @CGP^VQ@@KCG @CGP^VQ@@KCG [ LAVAG@KM / K@L

âjaemt2 $8=+ >6=<4;5 # k`lHk`l'cvl'xa # |||'`cgp~vq``kcg'cvl'xa


na vmoxm* 8'08ot8'<8o~vmoc àg~vmj pcfva m`àpc* jmp `cjqogmp na mxc{c ~kagag ecvom na ^ `koag~mnmp pcfva rmxm~mp `cga`~mnmp'

XQAGÂ XAM^CGMJ OKT^C2 `cgp~k~qknc xcv xavekjap ap~vq`~qvmjap na màvc M/05 na pa``kðg va`~mglqjmv `cg apxapcvap umvkmfjap* `cg ~mfjavcp na `cg`va~c mvomnc na xavmj~a na 8'=8o* ap~a xqag~a pa mxc{m pcfva 8> oëgpqjmp c `mxk~ajap na jmp `qmjap 86 pcg mxc{cp oðukjap { 86 mxc{cp ekbcp'

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NQ@^C AGÂVVMNC2 `cgecvomnc ag pq ~c~mjknmn xcv oqvcp ap~vq`~qvmjap na `cg`va~c mvomnc'

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Ekl 6' Xqag~a Xam~cgmj Okt~c / Xqag~a Xam~cgmj @~c /

Nq`~c Ag~avvmnc

Â@DC NA @CFAV^QVM JKUKMGM2 jm ap~vq`~qvm oa~íjk`m ap~í `cgecvomnm xcv qg `cgbqg~c na ajaoag~cp na màvc M/05 }qa qgkncp ecvomg e cvomg qgm omjjm apxm`kmj $ncoc apeëvk`c+* jmp j mp xjmg`dmp na `qfkav~m pa mxc{mg pcfva jmp `cvvamp { mgkjjcp* ëp~cp m pq uar pa mxc{mg pcfva jcp mv`cp $uklmp xvkg`kxmjap { pa`qgnmvkmp+9 jcp mv`cp { jcp mgkjjcp ecvomg jm ap~vq`~qvm apxm`kmj }qa jjaum jmp `mvlmp m jcp mxc{cp'

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Ekl 0' @cfav~qvm Màvc /

Uklm Xvkg`kxmj $^kbavmj+ /

Xjmg~m na @cfav~qvm




6' OA^CNCJCLKM C NAPMVVCJJC @CG@VA^C MVOMNC 6'='OË^CNC NA MGÍJKPKP2 Xmvm aj mgíjkpkp pa q~kjkrð aj xvclvmom PMX6888* fmpmnc ag aj oë~cnc na vklknaàp xcv xvcànkokag~cp om~vk`kmjap* aj mgíjkpkp vamjkrmnc ap ~vknkoagpkcgmj* ncgna jm pqxavxcpk`kðg pa dmví `cgpknavmgnc aj =88! naj apxa`~vc na xpaqnc/màjavm`kcgap ag jmp nkva``kcgap dcvkrcg~mjap { 6#0 naj apxa`~vc na xpaqnc/màjavm`kcgap ag jm nkva``kðg uav~k`mj9 jcp xðv~k`cp { oqvcp ap~íg kg~av`cga`~mncp xcv nkmevmlomp na xkpc vïlknc* vï lknc* ncgna jmp ompmp dmg pknc `cgàg~vmnmp `cgpknavmgnc 80 lvmncp na jkfav~mn xcv ag~vaxkpc* 86 na ajjcp na ~vmpjm`kðg dcvkrcg~mj cv~clcgmjap { 8= na vc~m`kðg' 6'6'PKPÂOMP AP^VQ@^QVMJAP Xmvm oabcvmv jm `cgeklqvm`kðg ap~vq`~qvmj aj `cgbqg~c pa jc dm xvc{a`~mnc paxmvígncjc ag fjc}qap napna jm `koag~m`kðg `cg bqg~mp na paxmvm`kðg pïpok`m na =8'6 ò* aj mgíjkpkp pïpok`c pa vamjkrð xcv pqxavxcpk`kðg apxa`~vmj palòg jm Gcvom na Nkpaýc Pkpocvvapkp~ag~a A 808/688='

NM^CP LAGAVMJAP NA NKPAÝC Xqag~a Xam~cgmj Nq`~c Ag~avvmnc Xmvíoa~vcp @cjkpac P5/ Ankek`kc @cg`va~c na Nkpaýc P;/P^ïxk`c @coxjaoag~mvkc Mvomnc Naxm Na xmv~m v~moa oag~ g~cc @mbm @mbmom omv` v`mm @mbm @mbmom omv` v`mm @mbm @mbmom omv` v`mm @mbm @mbmom omv` v`mm Rcgm Pïpok`m 0 0 0 0 Em`~cv na Rcgm R? 8'>8 R? 8'>8 R? 8'>8 R? 8'>8 ^kxc na Ankek`m`kðg Ankek`m`kðg Ankek`m`kðg Ankek`m`kðg Ankek`m`kðg Koxcv~mg~a Koxcv~mg~a Koxcv~mg~a Koxcv~mg~a @m~alcvïm na jm Ankek`m`kðg F F F F Em`~cv ~cv na Qpc Q? ='08 Q? ='08 Q? ='08 Q? ='08 Xðv~k`cp na Xðv~k`cp na Pkp~aom @cg`va~c Pkp~aom @cg`va~c Oqvcp Ap~vq`~qvmj Nqmj ap~vq`~qvmjap Mvomnc Mvomnc Em`~cv na Nq`~kjknmn V? ·V V? V V? V V? V @cgeklqvm`kðg Ap~vq`~qvmj Kvvalqjmv Valqjmv Valqjmv Valqjmv Valqjmv @caek`kag~a na Vanq``kðg V? 5'88 V? <'88 V? 4'88 V? 5 ^kxc na Pqajc P0 P0 P0 P0 Em`~cv na Pqajc P? ='>8 P? ='>8 P? ='>8 P? ='>8 ^x ? 8';8 ^x ? 8';8 ^x ? 8';8 ^x ? 8';8 @qmnvc =' Pkp~aomp Ap~vq`~qvmjap Ap~vq`~qvmjap Ap~vq`~qvmp Ap~vq`~qvmp na @cg`va~c @cg`va~c Mvomnc 6'0'@MVLMP2 Jmp eqavrmp na nkpaýc na na jmp pa``kcgap na `cg`va~c pa cf~qukavcg na jcp oítkocp apeqavrcp xvcnq`kncp palòg palòg jmp `cofkgm`kcgap `cofkgm`kcgap na `mvlmp ap~kxqjmnmp ap~kxqjmnmp ag jm gcvom gcvom M@K 0=4/86 pa``kðg pa``kðg ;'6' KGP^K^Q^C NA JM @CGP^VQ@@KCG @CGP^VQ@@KCG [ LAVAG@KM / K@L



6'>'NKPAÝC NA JCPMP2 Xmvm aj nkpaýc na jcpmp pa dm q~kjkrmnc aj oë~cnc naj M@K aj `qmj ap qg xvcànkokag~c mxvctkomnc { pkoxjkek`mnc* xvcxcv`kcgm ocoag~cp { eqavrmp `cv~mg~ap `cgpavumncvmp* ~com ag `cgpknavm`kðg jm mj~avgmg`km na `mvlmp ukump { xvapag~m jm agucjuag~a na jmp `mvlmp na lvmuanmn9 aj apxapcv na jmp jcpmp pa ap~kom xvc`qvmgnc pm~kpemàv jcp va}qkpk~cp oïgkocp xmvm aj `cg~vcj na naejatkcgap'

6'1'NKPAÝC NA UKLMP2 Aj nkpaýc na jmp pa``kcgap pa vamjkrð palòg jc ap~kxqjmnc ag jm gcvom na @cg`va~c Mvomnc A'858 { aj `ðnklc M@K 0=4/86 xmvm aj nkpaýc na ajaoag~cp ag ejatkðg9 mpï okpoc pa uavkek`ð jcp va}qavkokag~cp ap~kxqjmnc ag jmp Nkpxcpk`kcgap apxa`kmjap xmvm aj Nkpaýc Pïpok`c' Jmp uklmp dmg pknc nkpaýmnmp xmvm vapkp~kv xvkg`kxmjoag~a ejatkðg mqg}qa ~mofkëg ap~íg pcoa~knmp m `mvlmp mtkmjap* eqavrmp `cv~mg~ap { ocoag~cp ~cvpcvap* aj vaeqavrc jcglk~qnkgmj ag `qmj}qkav pa``kðg naj ajaoag~c* ~mg~c xcpk~kuc `coc galm~kuc* gc paví oagcv oagcv }qa jmp `qmg~ïmp oïgkomp* jm `qmg~ïm na màvc gc paví om{cv }qa 8'861 ð 8'<1 ύ f * `qmgnc qg ajaoag~c ap pcoa~knc m `mvlmp `ï`jk`mp nag~vc naj vmglc kgajíp~k`c* mjlqgmp dkxð~apkp mpqoknmp xmvm jm na~avokgm`kðg na jm `qmg~ïm fmjmgàmnm xkavnag umjknar* jm `qmg~ïm oítkom na 8'861 fqp`m auk~mv aj `cglap~kcgmokag~c naj vaeqavrc9 pa pqlkava }qa xcv jc oagcp ncp umvkjjmp na màvc pa `cjc}qag* mvvkfm { mfmbc* m ~cnc jc jmvlc naj ajaoag~c' Aj nkpaýc xcv `cv~a `cv~a na jcp ajaoag~cp ajaoag~cp pa vamjkrð `cgpknavmgnc `cgpknavmgnc `coc eqavrm na `cv~a mj om{cv na jcp `mj`qjmncp xcv aj xvclvmom PMX 6888 xvcnq`kncp xcv jmp `cofkgm`kcgap na `mvlmp ap~kxqjmnmp xmvm ajaoag~cp na `cg`va~c mvomnc palòg aj `ðnklc M@K 0=4/86 { jm gcvom A/858* ~agkagnc ag `qag~m mnaoíp jmp `cgpknavm`kcgap nmnmp ag jm gcvom na Nkpaýc Pkpocvvapkp~ag~a A/ 808'

6'5'NKPAÝC NA @CJQOGMP2 Xmvm aj nkpaýc na `cjqogmp pa vamjkrð qg nkpaýc fkmtkmj* jm `qmg~ïm na vaeqavrc jcglk~qnkgmj ag ajaoag~cp pcoa~kncp m ejatkðg { `mvlm mtkmj gc nafaví pav kgeavkcv m 8'8= gk pqxavkcv m 8'85* jm `qmg~ïm oítkom pa dm vanq`knc xmvm auk~mv aj `cglap~kcgmokag~c naj vaeqavrc { jkok~mv jcp apeqavrcp na `cv~a ag jm xkarm `qmgnc mj`mgà pq vapkp~ag`km òj~kom m jm ejatkðg* ag jm uavkek`m`kðg naj vaeqavrc pa `cgpknavð qgm qgm `qmg~ïm oïgkom na na =! na m`qavnc m jm gcvom uklag~a uklag~a A'858 $pa``kðg =6'>'6+' Jm nkp~vkfq`kðg na màvc na xcv `cv~a pa vamjkrð ag fmpa m jc ap~kxqjmnc palòg jm Gcvom A'858 { aj @ðnklc M@K 0=4/86'

6'<'OQVCP NA @CGÂG@KÐG2 Jcp oqvcp na `cg~ag`kðg* ag `mpk pq ~c~mjknmn ecvomg xmv~a naj pkp~aom ap~vq`~qvmj na jmp ankek`m`kcgap9 `cg jc }qa pq mgíjkpkp { nkpaýc ap~í kg`jqknc ag jcp ankek`kcp `cvvapxcgnkag~ap* `cvvapxcgnkag~ap* `cg jmp eqavrmp { apeqavrcp m jc jmvlc na jcp abap jc`mjap na jcp oqvcp ocnajmncp { `cgpknavmgnc apeqavrcp mnokpkfjap pa dm `mj`qjmnc aj màvc màvc `cvvapxcgnkag~a' `cvvapxcgnkag~a' Jcp oqvcp mkpjmncp mkpjmncp na jmp ankek`m`kcgap* ankek`m`kcgap* qfk`mncp ag jm rcgm na kglvapc uadk`qjmv* kglvapc xmvm nkp`mxm`k~mncp dmg pknc nkpaýmnc { mgmjkrmncp ag ecvom kgnaxagnkag~a* xcv oa~vc jkgamj'




6'4' NKPAÝC NA @KOAG^M@KCGAP2 Aj nkoagpkcgmokag~c ag xjmg~m pa dm vamjkrmnc v amjkrmnc `cgpknavmgnc jm vam``kðg `cvvapxcgnkag~a `cvvapxcgnkag~a m jm ~c~mjknmn na jmp `mvlmp oqav~mp* ukump $`mvlm na pavuk`kc+9 pa dm ~vmfmbmnc napmvvcjjmgnc qg mgíjkpkp ap~í~k`c jkgamj xcv aj oë~cnc na ajaoag~cp ajaoag~cp ekgk~cp 9 qpmgnc aj xvclvmom PMX 6888* 6888* ncgna pa pqxcga pqxcga }qa jm jcpm ap na qg om~avkmj dcoclëgac a kpc~vðxk`c* jm eqgnm`kðg pa `coxcv~m `coc qg oankc ajíp~k`c nag~vc naj vmglc jkgamj* }qa jmp `mvlmp na jm `cjqogm pcg xqg~qmjap* pa `cgpknavm }qa aj `caek`kag~a na Fmjmp~c gcp um m vaxvapag~mv m qg vapcv~a ~vmpjm`kcgmj jkgamj9 xcv jc ~mg~c* gc pa `cgpknavm jm vklknar vc~m`kcgmj na jm eqgnm`kðg' VAM@@KÐG @MVLM AG ^CGAJMNMP MVAM $o6+ GA^M NAJ PQAJC N J X Pavuk`kc Pavuk`kc X Em`~ GA@APMVKM GA@APMVKM NKPXCGKFJA NKPXCGKFJA $il#ò6 + >800'>> =;='65 >66>'< 1;<=';5 00<';4 >40'== ='6> @qmnvc 6' @mvlmp* Mvamp { Vam``kðg Ga~m naj Pqajc Ankek`kc @coxjaoag~mvkc Na`knkocp cx~mv xcv qgm qgm jcpm na `koag~m`kðg' `koag~m`kðg' Jm `koag~m`kðg na jcp nkeavag~ap fjc}qap* pa dm ocnajmnc `coc jcpmp mvomnmp ag ncfja pag~knc { xmvm pq mgíjkpkp pa dm qpmnc aj xvclvmom PMX6888* pkagnc ajjmp jcpmp na `koag~m`kðg'

0' OA^CNCJCLKM NA AP^VQ@^QVMP NA M@AVC2 Â@DC NAJ @CJKPAC @AVVMNC NA JM Q'G'@' 0'= @MVM@ÂVÏP^K@MP LAGAVMJAP2 Nkíoa~vc ag xjmg~m naj ~a`dc paví na <6'08 o* oanknc mj fcvna at~avkcv na jmp `cjqogmp na @²M² }qa pcg mxc{cp naj okpoc9 jm `cfav~qvm `cfav~qvm na jm ap~vq`~qvm ap~vq`~qvm oa~íjk`m pavíg xjmg`dmp xjmg`dmp na Â@GCÂ@DC ^V/> $XVA@CV+ na 8'18 oo na apxapcv c ag pq naea`~c Xavekj Lvmg Cgnm A~avgk~* jcglk~qn ag~va mxc{cp na ='5;o* xapc na >';5il#o6* >';5il#o6* `cg qg ~vmpjmxa ~vmpjmxa jcglk~qnkgmj na 8'=1 o9 o9 pa qpmvíg xjmg`dmp ~vmgpxmvag~ap na xcjk`mvfcgm~c ag qg 61! naj ívam `qfkav~m' 0'6 AP^QNKC AP^VQ@^QVMJ2 Xmvm jm ap~vq`~qvm naj ~a`dc pa na`knkð xcv qgm @òxqjm Pkoxja* jm `qmj `qag~m `cg qg mgkjjc xavkoa~vmj na màvc ag ~vm``kðg xmvm ~comv jmp eqavrmp na aoxqba na jm `òxqjm* qg mgkjjc àg~vmj }qa `cg~vcjm aj xmgnac ljcfmj na jmp uklmp xvkg`kxmjap { pa`qgnmvkmp* qg mgkjjc pqxavkcv }qa ja `cgekava vklknar mj `cgbqg~c' Xmvm aj nkpaýc { uavkek`m`kðg na jcp okaofvcp ap~vq`~qvmjap pa aoxjamvcg jmp Apxa`kek`m`kcgap MKP@/JVEN;0 { aj Valjmoag~c Gm`kcgmj na @cgp~vq``kcgap* VG@9 pa qpmví om~avkmj na màvc M/05 c pkokjmv' Pa q~kjkrmvíg xjmg`dmp na na Â@GCÂ@DC ^V/> na 8'18 oo na apxapcv* jcglk~qn ag~va mxc{cp na ='5;o* ='5;o* xapc na >';5il#o6* >';5il#o6* `cg qg ~vmpjmxa jcglk~qnkgmj jcglk~qnkgmj na 8'=1 o '* jmp `cvvamp ap~íg ap~íg paxmvmnmp m ='5; o xmvm }qa dm{m qg ~vmpjmxa na xjmg`dmp na 8'=1 o' Jmp xjmg`dmp ap~mvíg nkpxqap~mp ag `mnm pa`~cv pa`~cv `cjc`mnmp napna napna aj àg~vc dm`km jcp mv`cp* pavíg pavíg va`cv~mnmp pcfva jcp mv`cp { pa `cjc`mví qgm `qofvavm ag`kom xmvm `qfvkv jcp ag`qag~vcp na jmp xjmg`dmp na jcp pa`~cvap mjanmýcp { va`qxavmv jm ap~mg}qaknmn naj ~a`dc* pa aoxjamvíg mpkokpoc pajjmncvap' KGP^K^Q^C NA JM @CGP^VQ@@KCG @CGP^VQ@@KCG [ LAVAG@KM / K@L



Jm ~c~mjknmn na jcp ajaoag~cp ajaoag~cp na jm `òxqjm pcg xavekjap xavekjap ap~vq`~qvmjap na màvc màvc MPÔ M059 mpï okpoc jm ~c~mjknmn na jcp ajaoag~cp dmg pknc ocnajmncp ag aj xvclvmom PMX 6888* `cg jc `qmj pa `cgpklqa ~agav jcp vapqj~mncp oíp mxvctkomncp m jcp }qa pa cf~qukavmg pk pa mgmjkrmvm pðjc qg pa`~cv ~ïxk`c na jm `òxqjm' @jmvmfc{m Mgkjjc pqxavkcv @cvvamp Mgkjjc àg~vmj

Uklm Xvkg`kxmj $mv`c+ Mvvkcp~vap Uklm Pa`qgnmvkm $mv`c+ Mgkjjc xavkoa~vmj kgeavkcv

Ekl' 1/ Xavpxa`~kum na jm `òxqjm ^cncp jcp ajaoag~cp pa qgkvíg m ~vmuëp na `mv~ajmp* mnaoíp ag jcp 8; xvkoavcp paloag~cp atkp~ag ag aj mjom xjmg`dmp $a?0#=5‟+ jmp `qmjap m{qnmg m nkp~vkfqkv jcp apeqavrcp'

0'0 MGMJKPKP AP^VQ@^QVMJ 0'0'= @CGNK@KCGAP NA @MVLMP2 Pcfva jm ap~vq`~qvm atkp~ag jmp pklqkag~ap pklqkag~ap `cgnk`kcgap na `mvlmp2 NAMN2 xapc xvcxkc na jm ap~vq`~qvm $aj xvclvmom PMX6888 `mj`qjm mq~coí~k`moag~a aj xapc xvcxkc na `mnm qgc qgc na jcp ajaoag~cp ajaoag~cp ocnajmncp { jc kg`jq{a ag aj aj mgíjkpkp ap~vq`~qvmj' OQAV^M2 xapc na jm `qfkav~m ? ;'4= il#o6 ) xapc na mxmvm~cp na kjqokgm`kðg ? 1il#o6 OQAV^M$xcv oa~vc+ ?=<';1 il#o ) 4'>1 il#o ? 65'>8 il#o $`cgpknavmgnc qg apxm`kmokag~c ag~va `cvvamp na ='5; o `cg qg ~vmpjmxa na xjmg`dmp na `qfkav~m na 8'=1 o+ J2 @mvlm ukum ? 08 il#o6 $V'G'@'+ Jv2 @mvlm ukum na omg~agkokag~c ? 1 il#o6 \@ ‐\X $\@2 `mvlm `mvlm na ukag~c pcfva jmp `cvvamp* `cvvamp* \X2 \X2 `mvlm `mvlm na ukag~c pcfva jmp uklmp uklmp xvkg`kxmj { pa`qgnmvkm+2 Aj ukag~c ag jm rcgm ~kaga qgm uajc`knmn na nkpaýc na 65'64 io#dcvm $Eqag~a 2 Ap~qnkc Aðjk`c naj Umjja na @mbmomv`m @mbmomv`m ‐ PAGMODK+* jc }qa cvklkgm cvklkgm qgm xvapkðg na nkpaýc nkpaýc na ? 05'== il#o6 ag pq``kðg* `cg~vmvkc m jm eqavrm na lvmuanmn* xcv jc }qa gc mea`~mví m jm ap~vq`~qvm xvkg`kxmj9 pkg aofmvlc* pï pa dm `cgpknavmnc `coc aea`~c ag jm fvknm pqxavkcv na jcp ~kbavmjap xvkg`kxmjap { pa`qgnmvkcp* ag ~cncp jcp ajaoag~cp pa`qgnmvkcp `coc `cvvamp* mvvkcp~vap* ap~vq`~qvm na jm `jmvmfc{m* jmp `qmjap xqanag pav mea`~mnmp `cg qgm m``kðg `cg~vmvkm m jm lvmuanmn' 0'0'6 AP^VMÂLKM NAJ NAJ AP^QNKC AP^VQ@^QVMJ2 Xmvm aj mgíjkpkp { aj nkpaýc pa aoxjað aj xvclvmom2 PMX6888* aj `qmj ~kaga qgm fqagm kg~avm``kðg lvíek`m na nm~cp' Pa `vað qg ocnajc oa`ígk`c xmvm aj xvclvmom* pa qpmvcg jcp xavekjap }qa pa uag ag jm vaxvapag~m`kðg na jm lacoa~vïm na jm `òxqjm* { jmp vap~vk``kcgap v ap~vk``kcgap ag jcp gqncp pcg jcp m`cp~qofvmncp' Jcp xavekjap pcg pa``kcgap `cgc`knmp { ecvomg ~mofkëg xmv~a naj xvclvmom' KGP^K^Q^C NA JM @CGP^VQ@@KCG @CGP^VQ@@KCG [ LAVAG@KM / K@L



Mj ocnajc oa`ígk`c pa ja mxjk`ð jmp `mvlmp na xapc xvcxkc $na~avokgmnmp mq~coí~k`moag~a xcv aj xvclvmom cx`kðg Mq~c Paja`~+* `mvlmp oqav~mp $`qfkav~m ) mxmvm~cp na kjqokgm`kðg+* `mvlmp ukump pcfva ~a`dc { na omg~agkokag~c* gc pa mxjk`ð `mvlm na pkpoc xcv ~vm~mvpa na qgm ap~vq`~qvm jkukmgm ag jm `qmj jcp aea`~cp na pkpoc pcg xc`c pklgkek`m~kucp9 pa aoxjamvcg jmp @cofkgm`kcgap na @mvlmp ap~kxqjmnmp ag jm Gcvom MKP@/JVEN ;0'  

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Aj ~vmfmbc pa napmvvcjjc na jm pklqkag~a omgavm2 Nkfqbc ag Mq~c`mn $0 nkoagpkcgap+ na jm ~c~mjknmn na jm ap~vq`~qvm xmvm }qa xqanm pav koxcv~mnm mj PMX6888' Koxjaoag~m`kðg naj ocnajc oa`ígk`c xmvm jm ~c~mjknmn na jm ap~vq`~qvm koxcv~mnm ag ecvom~c NTE* `cgp~k~qknm xcv 6> ~kbavmjap xvkg`kxmjap $mv`cp+* 6> ~kbavmjap pa`qgnmvkcp $mv`cp+* 80 mgkjjcp `cg`ëg~vk`cp* `cvvamp* mvvkcp~vap* ajaoag~cp ap~vq`~qvmjap xmvm jm `jmvmfc{m9 pa naekgkð om~avkmjap* pa``kcgap* pkp~aomp na `ccvnagmnmp9 pa mpklgmvcg om~avkmjap* pa``kcgap* `mvlmp m jcp ajaoag~cp ap~vq`~qvmjap }qa jmp va}qavïmg `cgecvoa m jmp `cofkgm`kcgap na `mvlm mg~ap oag`kcgmnmp' Mxjk`m`kðg naj xvclvmom PMX6888' Aj xvclvmom ag~cgàp mgmjkrm* ag`qag~vm jcp oítkocp aea`~cp pcfva `mnm ajaoag~c na ~cnmp jmp `cofkgm`kcgap na `mvlm mpklgmnmp m ~vmuëp na qgm agucjuag~a { mxjk`m jmp eðvoqjmp MKP@ ‐ JVEN xmvm pq uavkek`m`kðg' Uavkek`m`kðg na ajaoag~cp' Pa apxa`kek`m }qa pa nafag `coxmvmv jcp apeqavrcp }qa lagavmg jmp `mvlmp `cg jcp apeqavrcp xavokpkfjap xavokpkfjap na jmp eðvoqjmp }qa `cvvapxcgna mj ajaoag~c ajaoag~c $`cgecvoa MPK@/JVEN+* ap~m vajm`kðg pa nagcokgm Vaj' Jcp ajaoag~cp pcg jcp mna`qmncp pk jcp umjcvap naj Vm~kc lcfavgmnc xcv jmp a`qm`kcgap $D=/=m* D=/=f+ pcg :?=* a kg`cvva`~cp pk aj Vm~kc 7='8 ' Jcp ajaoag~cp }qa gc `qoxjmg `cg jmp apxa`kek`m`kcgap MKP@/JVEN;0 nafag pav vaaoxjmrmncp xcv c~vcp dmp~m cf~agav qg vapqj~mnc ðx~koc' Okaofvcp Pkoë~vk`cp pqba~cp m ejatkðg { `coxvapkðg mtkmj2 Jm kg~avm``kðg na `coxvapkðg { ejatkðg ag uklmp { `cjqogmp `cg pa``kcgap ~vmgpuavpmjap `cg pkoxja c ncfja ncfja pkoa~vïm ap~íg ap~íg lcfavgmnmp lcfavgmnmp xcv jmp a`qm`kcgap D=/=m { D=/=f $MKP@ ‐ JVEN;0+ Xq

Xmvm

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Oq{ ⎗ 4 ⎙ Oqt ⎓ ≮ ='8 ) ⎚⎚ ) υ Xg ; ⎟ υ f Ogt υ f Og{ ⎨⎓ Xq

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⎙ Oqt Oq{ ⎗ ⎓ ≮ ='8 ) ⎚⎚ ) 6υ Xg ⎟ υ f Ogt υ f Og{ ⎨⎓ Xq

$D=/=f+

Ncgna2 Xq2 @mvlm mtkmj oítkom apxavmnm c pqp oítkocp aea`~cp* `mvlmp m`~qmg~ap em`~cvkrmnmp $~+ υXg2 Vapkp~ag`km na nkpaýc* Vapkp~ag`km qpmfja* $~+ υ 2 Em`~cv Em`~cv na vapkp~ag` vapkp~ag`km km xcv xcv `coxvapkð `coxvapkðg* g* `?8'41 `?8'41 Xg2 Vapkp~ag`km gcokgmj $~+ Oq2 Ocoag~c oítkoc apxavmnc m`~qmg~a $~/o+ υ f Og2Ocoag~c na nkpaýc nkpaýc $~/o+ υ f2 Em`~cv na vapkp~ag`km vapkp~ag`km xcv ejatkðg ? 8';8 8';8 Og2 Ocoag~c gcokgmj $~/o+ KGP^K^Q^C NA JM @CGP^VQ@@KCG @CGP^VQ@@KCG [ LAVAG@KM / K@L



>' XVAPAG^M@KCG NA VAPQJ^MNCP >'= AP^VQ@^QVMP NA @CG@VA^C MVOMNC Kgnk`mocp }qa napxqëp na dmfav vamjkrmnc ~cncp jcp `íj`qjcp gaàpmvkcp xmvm aj nkpaýc na jmp ap~vq`~qvmp na `cg`va~c mvomgnc naj xvapag~a Xvc{a`~c Xvceapkcgmj* uaocp }qa jcp vapqj~mncp cf~agkncp `qoxjag `cg jc ap~kxqjmnc xcv aj oë~cnc na nkpaýc xcv vapkp~ag`km c vc~qvm* ag ncgna pa dm na~avokgmnc jmp `mvlmp na pavuk`kc { pa jmp moxjkek`mnc na m`qavnc m jmp `cofkgm`kcgap na `mvlm xvapag~mnmp ag jm gcvom gcvom M@K 0=4/86 pa``kðg ;'6 jmp `qmjap pcg pcg oagcvap m jmp vapkp~ag`kmp vapkp~ag`kmp gcokgmjap c ~aðvk`mp naj ajaoag~c mea`~mnmp xcv qg em`~cv na vanq``kðg v anq``kðg na vapkp~ag`km $Vapkp~ag`km na Nkpaýc+

Ekl' 5 Nkmlvmom na Ocoag~cp Ankek`kc @coxjaoag~mvkc

Ekl' < Nkmlvmom na Ocoag~cp Xjm~am na @koag~m`kðg / Ankek`kc @coxjaoag~mvkc



KK @cglvapc Gm`kcgmj na Kglagkavïm Ap~vq`~qvmj Ap~vq`~qvmj Pïpok`m { Xqag~ap Jkom* 65 { 6< na Om{c na 6885 A / TUKKK NKMLVMOM NA OCOAG^CP ANKEK@KC @COXJAOAG^MVKC/JCPM NA @KOAG^M@KÐG O=/= up Nkp~mg`km =88 ;8 48 <8 6

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Ekl' 4 Nkmlvmom na Ocoag~cp @koag~m`kðg / Ankek`kc @coxjaoag~mvkc/@íj`qjc na Màvc

Ekl' ; Nkmlvmom na Ocoag~cp ^vkfqgm Xvkg`kxmj @cjkpac Q'G'@'




Ekl' =8 Nkmlvmom na Ocoag~cp ag Nq`~c Ag~avvmnc ‐ Xqag~a Xam~cgmj na @cg`va~c' >'6 AP^VQ@^QVMP NA M@AVC Xmvm aj ap~qnkc na jcp vapqj~mncp ~comvaocp mjlqgcp ajaoag~cp vaxvapag~m~kucp na jmp uklmp xvkg`kxmjap { pa`qgnmvkmp* mpï `coc na jcp mgkjjcp* `cvvamp* mvvkcp~vap* ajaoag~cp na `jmvmfc{m ag~va c~vcp' Jcp vapqj~mncp naj Ap~qnkc pa xvcxcv`kcgmg ag jcp j cp lvíek`cp na jmp xílkgmp pklqkag~ap' Jcp lvíek`cp dmg pknc cf~agkncp naj Xvclvmom PMX6888

Ekl' ==/ Ap~vq`~qvm @coxja~m ncgna pa oqap~vmg jcp vapqj~mncp naj nkpaýc ag màvc ag eqg`kðg naj vm~kc* aj umjcv naj okpoc ap na m`qvnc m jm ap`mjm na `cjcvap xvapag~mnm ' KGP^K^Q^C NA JM @CGP^VQ@@KCG @CGP^VQ@@KCG [ LAVAG@KM / K@L



Ekl' =6 / Uklm xvkg`kxmj ncgna pa xqana cfpavumv jcp xavekjap }qa dmg pknc paja``kcgmncp { }qa `qoxjag `cg jmp apxa`kek`m`kcgap naj MKP@ ‐ JVEN;0 '

Ajaoag~c <6=4

Ekl' =0 / Uklm xvkg`kxmj / Vapqj~mncp ncgna pa oqap~vmg jcp vapqj~mncp naj nkpaýc ag màvc ag eqg`kðg naj vm~kc* aj umjcv naj okpoc ap na m`qvnc m jm ap`mjm na `cjcvap xvapag~mnm' Xmvm jcp lvíek`cp pa dmg paja``kcgmnc paja``kcgmnc jcp ajaoag~cp oíp pcjk`k~mncp pcjk`k~mncp ag `mnm paloag~c paloag~c { pa cfpavum }qa gkglqgc pcfvaxmpm pcfvaxmpm Vm~kc ? ='8 $D= /=f c D=/=m+ xcv jc ~mg~c jcp xavekjap ap`clkncp pcg mna`qmncp' Xcv abaoxjc ag aj ajaoag~c ajaoag~c <6=4 na jm fvknm kgeavkcv naj naj xðv~k`c xvkg`kxmj $ δ ? 61='61 + pa cfpavum }qa aj vm~kc ?8'>80 :?='




Ekl' => ‐ Vaxcv~a cf~agknc `cg aj xvclvmom PMX688 ncgna pa oqap~vmg jcp vapqj~mncp naj nkpaýc ag màvc ag eqg`kðg naj vm~kc'




Ekl' =1 Xqag~a Okt~c Xam~cgmj $Ocnajmokag~c+ ‐ Vm~kcp na nkpaýc na ajaoag~cp 1' @CG@JQPKCGAP 

Aj qpc na xvclvmomp `coxq~m`kcgmjap `coxq~m`kcgmjap `coc davvmokag~m na `íj`qjc ag kglagkavïm ap~vq`~qvmj gcp xavok~a cx~kokrmv aj ~vmfmbc na nkpaýc mpï `coc jcp va`qvpcp kgucjq`vmncp'

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Jcp pce~|mvap ap~vq`~qvmjap ap~vq`~qvmjap gcp nmg jm xcpkfkjknmn xcpkfkjknmn na màv`mvgcp màv`mvgcp oíp mj mj `coxcv~mokag~c vamj na jm ap~vq`~qvm nafknc m jmp nkeavag~ap davvmokag~mp }qa pq kg~avemr gcp xvapag~mg xmvm aj ocnajmokag~c'

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Pa nafa ~agav oq`dc `qknmnc `cg aj qpc na jcp pce~|mvap xmvm aj nkpaýc na ap~vq`~qvmp {m }qa ajjcp pðjc `cgp~k~q{ag qgm davvmokag~m xmvm aj napmvvcjjc na gqap~vc ~vmfmbc* ag xvkoav jqlmv ap~í jm ecvom`kðg m`mnëok`m na jcp xvceapkcgmjap xmvm }qa `cg apm fmpa xqanmg ~agav jcp `vk~avkcp mna`qmncp xmvm aj ocnajmokag~c { xcv agna cf~agav vapqj~mncp `cgekmfjap'

5' VAEAVAG@KMP 

@ðnklc na @cgp~vq``kðg ag @cg`va~c Ap~vq`~qvmj { @coag~mvkcp M@K 0=4/86 ‐ Xvkoavm Ank`kðg ‐ Ecgnc Ank~cvkmj M@K ‐ 6886 / Jkom* Xavò'

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Valjmoag~c Gm`kcgmj na @cgp~vq``kcgap2 A/868* A/808* A/818* A/858'

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Nkpaýc Ap~vq`~qvmj ag Màvc ‐ Jqkp Rmxm~m Fmljka~~c ‐ Xvkoavm Ank`kðg ‐ =;;1 ‐ Jkom* Xavò' Nkpaýc Mq~com~krmnc na Ap~vq`~qvmp Pkpocvvapkp~ag~ap* K@L* 6886* Jkom ‐ Xavò'

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Omgqmj ce P~aaj @cgp~vq`~kcg ‐ Jcmn % Vapkp~mgà Em`~cv Napklg ‐ MKP@ ‐ Pa`cgn Ank~cg'



DISEÑO AUTOMATIZADO DE ESTRUCTURAS - COLISEO CERRADO DE LA UNIVERSIDAD NACIONAL DE CAJAMARCA

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