Analisis Estructural i - Metodo de Trabajos Virtuales

May 17, 2019 | Author: Sandro Aywar Landeo Antezana | Category: Bending, Civil Engineering, Física y matemáticas, Physics, Classical Mechanics
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ANÁLISIS ESTRUCTURAL I - PROBLEMAS RESUELTOS DE MÉTODO DE LOS TRABAJOS VIRTUALES...

Description

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@a pr`s`gt` ieaa`te s` prebud` deg an icgnacbnb b` hrcgbnr ug degkugte b` preha`fns r`su`ates b`a t`fn b` ‑

‖ `g nrdes, qu` `s pnrt`

b` an ierfndcôg ndnbãfcdn b`a `stubcngt`, pegc`gbe ãginscs `g `a ngîacscs b`tnaanbe.  Njrnb`zde an ndejcbn hrcgbnbn n `st` trnhnke, n tebes fcs defpnþ`res @stubcngt`s b` an Pgcv`rscbnb Gndcegna b` Mungdnv`acdn b` an @sdu`an \rei`scegna b` Cgj`gcnræn Dcvca Mungdnv`acdn, deg an `sp`rngzn b` s`jucr b`snrreaangbe t`fns qu` nûg inatng.

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DEGR@GCBE

\îj.  ................................ 0   ...................................................................................... 9

>.>

B`ia`xcôg Y`rtcdna H ............................................................................. 9

>.8

B`ia`xcôg Merczegtna H ........................................................................ =

>.4

Jcre `g `a pugte H .............................................................................. ><  .................................................................................... >8

8.>

B`ia`xcôg v`rtcdna B ........................................................................... >9  .................................................................................... >=

4.>

B`ia`xcôg Y`rtcdna D ........................................................................... 8<  .................................................................................... 8<

2.>

B`spanznfc`gte merczegtna b` ‑I‖ ..................................................... 88

2.8

B`spanznfc`gte merczegtna b` ‑8I‖ .................................................. 88

 .................................................................................... 82 0.>

B`ia`xcôg Y`rtcdna .............................................................................. 82

0.8

B`ia`xcôg Merczegtna .......................................................................... 89

0.4

B`ia`xcôg Ngjuanr .............................................................................. 8=   ....................................................................... 4<  .................................................................................... 4<  .................................................................................... 4<  .............................................................................................. 4>

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@g r`nacbnb dunaquc`r tcpe fnt`rcna `stî sef`tcbe na tcpe b` trnhnke qu` pu`b` suircr cgb`p`gbc`gt`f`gt` b`a tcpe b` dnrjn qu` ndtûn y `a tcpe b` ngîacscs qu` uge pu`b` ngnacznr y `g fnyer perd`gtnk` `s b`hcbe n an ia`xcôg pnrn `a dnse b` @stubcngt`s b` Cgj`gc`ræn Dcvca.

   ∯      ô.   ∯     .   ∯        .   ∯      ô. ,,   ,,  

Ia`xceg`s, dertngt`s, nxcna`s y terser`s b` b`hcbe n ans dnrjns

r`na`s pnrn tebes aes trnfes b` an `strudturn. Ia`xceg`s, dertngt`s, nxcna`s y terser`s b` b`hcbe n ans dnrjns

ugctnrcns pnrn tebes aes trnfes b` an `strudturn.  (npertcdnbns e degtcgun).



. .  .   .. î. 4:  . + + +            .        .  ô    ,   .         .   Î     ô    .  .   .. î. 4:      

(`strudturn b` hnrrns).

@siu`rzes `g ans hnrrns b` ugn nrfnburn, prebudcbes per dnrjns r`na`s.

@siu`rzes `g ans hnrrns b` ugn nrfnburn, prebudcbes per dnrjn ugctnrcn,

npacdnbn `g `a pugte `g `a qu` s` trnt` b` b`t`rfcgnr an b`ierfndcôg.  Îr`n b` s`ddcôg trngsv`rsna

Fôbuae e de`icdc`gt` b` @anstcdcbnb.

0

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w

An vcjn b` s`ddcôg dcrduanr b` bcîf`tre

B,

b`t`rfcgnr

ans

b`ia`xceg`s v`rtcdna y merczegtna y

 N 

jcre `g `a pugte H, bnr aes r`suatnbes `g iugdcôg b` ans vnrcnha`s, degscb`rnr aes `i`dtes b` ia`xcôg, dert`, nxcna ans ugcbnb`s `stîg w, \ y X `g teg/f, teg y f r`sp`dtcvnf`gt`.

H \

\nrn b`t`rfcgnr `a b`ia`xcôg Y`rtcdna `g `a pugte H s` npacdn ugn dnrjn ugctnrcn v`rtcdna y s` ngnacznrî per `i`dtes b` ia`xcôg, dertngt` y gerfna scg degscb`rnr an terscôg. @g `a scjuc`gt` jrîicde s` fu`strn `a ngîacscs per `i`dtes b` ia`xcôg pnrn dnrjns r`na`s y dnrjn ugctnrcn.

9

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RXNFE HN

∘des∘   8 ∘>∘des∘ 8

>∘>.>∘des ∘>∘des

@g `a scjuc`gt` jrîicde s` fu`strn `a ngîacscs b` iu`rzn Dertngt` y Gerfna pnrn dnrjns r`na`s y dnrjn ugctnrcn.

>? >∘>    +  +   /  /  /     +    +     ?  RXNFE HN

:

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    / ∘>∘des∘ 8 (∘>∘des)     /  + des(>) +    / (∘+)(∘>) +   /  >      >∘des + 8 (>∘des) /  +   +des() / > +   (∘+)(∘>) ∘+∘ +    +   + ∘ +  \nrn b`t`rfcgnr `a b`ia`xcôg merczegtna `g `a pugte H s` npacdn ugn dnrjn ugctnrcn merczegtna y s` ngnacznrî per `i`dtes b` ia`xcôg, dertngt` y gerfna scg degscb`rnr an terscôg. @g `a scjuc`gt` jrîicde s` fu`strn `a ngîacscs per `i`dtes b` ia`xcôg pnrn dnrjns r`na`s y dnrjn ugctnrcn.

=

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RXNFE HN

∘des∘ ∘>∘des∘   8 ∘ 8 >∘>. @g `a scjuc`gt` jrîicde s` fu`strn `a ngîacscs b` iu`rzn Dertngt` y Gerfna pnrn dnrjns r`na`s y dnrjn ugctnrcn.

>?

RXNFE HN

 Dertngt` y Gerfna.

+8 ∘ >> 3

CGJ@GC@XÆN DCYCA

T NGBXE A NGB@E N.

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    / ∘>∘des∘ 8 (∘>.)     /  + des(>) +    / (∘+)(>) +   + ++ ∘   +  +  ∘  \nrn b`t`rfcgnr `a b`ia`xcôg Ngjuanr `g `a pugte H s` npacdn ugn dnrjn b` fef`gte ugctnrce y s` ngnacznrî per `i`dtes b` ia`xcôg, dertngt` y gerfna scg degscb`rnr an terscôg. @g `a scjuc`gt` jrîicde s` fu`strn `a ngîacscs per `i`dtes b` ia`xcôg pnrn dnrjns r`na`s y dnrjn ugctnrcn.

RXNFE HN

∘des∘  8 ∘>∘des∘ 8

>∘>

><

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T NGBXE A NGB@E N.

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@g `a scjuc`gt` jrîicde s` fu`strn `a ngîacscs b` iu`rzn Dertngt` y Gerfna pnrn dnrjns r`na`s y dnrjn ugctnrcn.

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