Producto Academico 3 Ingenieria de Metodos Grupo 1 NRC 15284

 

]fevmrsejdj @bftefmftda Nrupb 84 F_@ 4=?;:

Efnmfemrçd jm Gåtbjbs Xrbju`tb D`djåge`b F¸0

]FESM_PEJDJ @BFZEFMFZDA

Xrbju`tb D`djåge`b F¸0 Zdrmd

@ursb

488%

Aamfdr ma sborm

8.:

8.=

4.5

8.0

8.:

8.0

5=%

Pmaadr y `adsece`dr

4.8

8.5

8.5

4.8

8.5

8.5

4?=%

d)  Kdaadr ma temgpb fbrgda jm `djd mamgmftb, ma temgpb mstäfjdr jm `djd mamgmftb y ma temgpb tbtda jm ad d`tevejdj (: ptbs)

Mamgmftb

Gm`dfbnrdcedr ad `drtd Gm`dfbnrdcedr ma sborm Aamfdr ma sborm Pmaadr y `adsece`dr

4

?

0

:

=

3

Zemgpb mstegdjb (Zm)

@daece`d`eðf jma jmsmgpmôb (Cv)

?.=

?.;

?.=

?.4

?.3

?.0

(?.= + ?.; + ?.= + ?.4 + ?.3 + ?.0)/3 7 ?.:> 

;=%

8.;

8.;

8.3

8.>

0.4

8.>

(8.; + 8.; + 8.3 + 8.> + 8.>)/= 7 8.>? 

488%

8.:

8.=

4.5

8.0

8.:

8.0

(8.: + 8.= + 8.0 + 8.: + 8.0)/= 7 8.0; 

5=%

4

8.5

8.5

4

8.5

8.5

(4.8 + 8.5 + 8.5 + 4.8 + 8.5 + 8.5)/3 7 8.50 

4?=%

ZEMGXB FB_GDA(Zf) 7 Zm*Cv

P]XAMGMFZB P (P)

ZEMGXB MPZÄFJD_ (Zs) 7 Zf*(4+P)

?.:>*;=% 7 ?.48 

4?% ?.48*(4+4?%) 7 ?.0=

8.>?*488% 7 8.>?  8.0;*5=% 7 8.03 

4?% 8.>?*(4+4?%) 7 8.;4 4?% 8.03*(4+4?%) 7 8.:8

8.50*4?=% 7 4.4> 

4?% 4.4>*(4+4?%) 7 4.04

ZEMGXB ZBZDA 7 ∔(Zs) 

?.0= + 8.;4 + 8.:8 + 4.04 7 :.;> 

Xbr ab Zdftb

ZEMGXB FB_GDA

ZEMGXB MPZÄFJD_

Gm`dfbnrdcedr ad `drtd

?.4

?.0=

Gm`dfbnrdcedr ma sborm

8.>?

8.;4

Aamfdr ma sborm

8.03

8.:

Pmaadr y `adsece`dr

4.4>

4.04

Mamgmftb

ZEMGXB ZBZDA

:.;>

Xänefd : jm 5

 

]fevmrsejdj @bftefmftda Nrupb 84 F_@ 4=?;:

Efnmfemrçd jm Gåtbjbs Xrbju`tb D`djåge`b F¸0

0) Mf ad senuemftm tdoad sm gumstrdf abs temgpbs bosmrvdjbs pdrd ufd bpmrd`eðf mf pdrte`uadr. Pm am pejm kdaadr ma temgpb fbrgda y mstäfjdr `bfsejmrdfjb qum (: ptbs)< - Ad `daece`d`eðf jm jmsmgpmôb cum jmcefejd mf 58% - Abs bpmrdrebs sbf tbjbs vdrbfms - Ad bpmrd`eðf sm rmdaezd d pem

Füg. bosmrvd`eðf

Zemgpb (gefutbs)

4 ?

8.44 8.48 8.44 8.48 8.?: 8.48 8.48 8.85 8.4? 8.85 8.4? 8.44

0 : = 3 > ; 5 48 44 4? 40

8.48 8.4? 8.40 8.85

4: 4= 43  

Füg. Bosmrvd`eðf (gefutbs)

Fbs pejmf kdaadr ma temgpb Fbrgda y Mstäfjdr Zemgpb

4

8.44

?

8.4

0

8.44

:

8.4

Bosmrvd`ebfms

Cd`tbr jm vdabrd`eðf (Cv) Zemgpb Fbrgda (Zf)  Zf Fb `bfsejmrdgbs msm jdtb  pbr smr jmgdsedjb jmgdsedjb jmsvedjb jmsvedjb

58% Cv*Zm 58% * 8.44

= 3

8.?:

>

8.4

;

8.85

5

8.4?

48

8.85

44

8.4?

4?

8.44

ZM

8.48*(4+44%)

40

8.4

ZM

8.48=5

4:

8.4?

4=

8.40

43

8.85

Zemgpb Mstegdjb (prbgmjeb)

8.44

8.4

Zf 8.48 Ma temgpb fbrgda (Zf) ms jm < 8.48

Zemgpb Mstäfjdr (ZM)  Pupamgmftbs Pupamgmftbs

Zf*(4+Pup) Pupamgmftbs celbs + Pupamgmftbs vdredoams 5% + ?% 7 44%

Ma temgpb mstäfjdr (ZM) ms jm< 8.44

Xänefd = jm 5

 

]fevmrsejdj @bftefmftda Nrupb 84 F_@ 4=?;:

Efnmfemrçd jm Gåtbjbs Xrbju`tb D`djåge`b F¸0

:) ]stmj kd sejb `bftrdtdjb `bgb supmrvesbr jma ärmd jm prb`msbs y gåtbjbs jm ufd

mgprmsd gdfucd`turmrd. Pu pregmrd adobr ms vmrece`dr uf mstujeb qum sm rmdaezð prmvedgmftm y jmtmrgefdr se ms `brrm`tb pdrd qum sm pumjm prmsmftdr ma rmsuatdjb cefda. Abs rmsuatdjbs jm je`kb mstujeb cumrbf abs senuemftms< ZEMGXBP BOPM_SDJBP

Mamgmftb D O @ J

4

?

=;.88 08.88 =8.88 =?.88

0

38.88 04.88 =8.88 488.88

:

=;.88 ==.88 :5.88 =?.88

=

38.88 08.88 =8.88 =0.88

=5.88 0?.88 =?.88 =0.88

3

>

=5.88 0?.88 =?.88 =4.88

;

38.88 0?.88 :5.88 =?.88

=5.88 08.88 :5.88 =?.88

ZEMGXBP FB_GDAMP

Mamgmftb D O @ J

4

?

0

:

=

3

>

;

=;.88 03.88 :>.=8 =?.88

33.88 0>.?8 =8.88 488.88

38.58 =?.?= :5.88 =?.88

38.88 08.88 =?.=8 =0.88

=5.88 0;.:8 :5.:8 =0.88

3:.58 0=.?8 =?.88 =4.88

30.88 08.:8 :5.88 :3.;8

=5.88 08.88 =4.:= =?.88

X_BGMJEB 34.0= 03.4; =8.44 =>.:;

DXAE@D@EÐF GÅZBJB ^MPZEFNKB]PM Mamgmftb X_BGMJEB SDAB_D@EÐF ZF CEFDA D O @ J

34.0= 03.4; =8.44 =>.:;

4.4: 4.8= 8.55 4.88

35.5: 0>.55 :5.34 =>.:;

DXAE@D@EÐF GÅZBJB ^MPZEFNKB]PM P]X CELBP P]X SD_EDOAMP P]X ZBZDAMP D O

5% 5%

-4% -4%

;% ;%

@ J

5% 5%

8 8

5% 5%

ZEMGXB MPZÄFJD_ D O @ J

>3.?0 :4.:4 =:.8> 3?.3=

²Tuå bosmrvd`ebfms/`brrm``ebfms kdrçd d mstbs rmsuatdjbs2 (: ptbs)

Xänefd 3 jm 5

 

]fevmrsejdj @bftefmftda Nrupb 84 F_@ 4=?;:

Efnmfemrçd jm Gåtbjbs Xrbju`tb D`djåge`b F¸0

dzua y `bf Fmnretd.  rblb y dzua y Jmsdrrbaab jm ad Pbau`ebf < _msdatdrmgbs ads bosmrvd`ebfms mf rblb y ZEMGXBP BOPM_SDJBP Mamgmftb

4

?

0

:

=

3

>

;

D

=;

38

=;

38

=5

=5

38

=5

O

08

04

08 08

0?

0?

0?

08

:5

=8

=?

=?

:5

:5

=?

=0

=0

=4

=?

=?

@

=8

=8

J

=?

488 488

FBZD <

 

==  

Ads bosmrvd`ebfms mf `babr rblb fb sm `bfsejmrdräf pdrd ma mstujeb pbr smr jmgdsedjb jmsvedjbs.

ZEMGXBP FB_GDAMP Mamgmftb

4

?

0

D

=;

33

38.5

O

03

0>.?

=?.?=

@

:>.=

=8

J

=?

48 4888

 

:

=

3

>

;

X_BGMJEB

X_BGMJEB

34.0= 00.;5 =8.44 =4.:

38

=5

3:.5

30

=5

34.0=

08

0;.:

0=.?

0 8.:

08

03.4;

:5

=?.=

:5.:

=?

:5

=4.:=

=8.44

=?

=0

=0

=4

: 3.;

=?

=>.:;

 

FBZD< FBZD < Jmoejb d qum qum dftmrebrgmftm dftmrebrg mftm fb `bfsejmrdgbs abs fügmrbs fügmrbs mf `babr rblb dquç dquç jm enuda cbrgd abs bgete bgetermgbs rmgbs pdrd ma `äa`uab jma prbgmjeb. Mstb kd gbjece`djb abs temgpbs fbrgdams ‑_msdatdjbs mf dgdreaab‗  DXAE@D@EÐF GÅZBJB ^MPZEFNKB]PM ^MPZEFNKB]PM X_BG MJEB S D A B_D @EÐF Mamgmftb

DXAE@D@EÐF GÅZBJB ^MPZEFNKB]PM ZF CEFD A

Mamgmftb

X_BG MJ MJEB

SD DAA B B_ _D @E @EÐF

ZF CEFD A

4 .4 :

3 5 .5 :

4.8=

0=.=;

8 .5 5

: 5 .3 4

4

=4.:

D

3 4 .0 =

4 .4 :

3 5 .5 :

D

3 4 .0 =

O

0 3 .4 ;

4 .8 =

0 > .5 5

O

00.;5

@

= 8 .4 4

8 .5 5

: 5 .3 4

@

= 8 .4 4

J

= > .: ;

4

= > .: ;

J

=4.:

   

FBZD< Ud qum abs mamgmftbs "O" y "J" cumrbf bosmrvdjbs sus `äa`uabs sbf gbjece`djbs9 yd qum ma< ZF CEFDA 7 Xrbgmjeb*Sdabrd`eðf JMCEFE@EÐF JM P]XAMGMFZBP P]X CCEEL BP

P]X S SD D _ED OA MP P]X ZZB BZD A MP

P]X ZBZDAMP

D

5%

-4 %

;%

48%

O

5%

-4 %

;%

48%

@

5%

8

5%

 

5%

J

5%

8

5%

 

5%

BOPM_SD@EBFMP

Abs supamgmftbs sbf  pbr `mftdlms pb setevbs  pbr`mftdlms Abs supamgmftbs sbf  pbr`mftdlms  pbr `mftdlms pb setevbs

Fbtd< Abs supamgmftbs jm sugdf yd qum fb sbf fugmrbs fmndtevbs

ZEMGXB MPZÄFJD_

 

ZEMGXB ZEMG XB MPZÄFJD_

D

> 3 .? 0

D

 

>3.50

O

: 4 .: 4

O

 

05.4:

@

= : .8 >

@

 

=:.8>

J

3 ? .3 =

J

 

=3.80

FBZD< Ma temgpb mstäfjdr (Zs 7 ZF CEFDA*(4+P]X ZBZDAMP) Xänefd > jm 5

 

]fevmrsejdj @bftefmftda Nrupb 84 F_@ 4=?;:

Efnmfemrçd jm Gåtbjbs Xrbju`tb D`djåge`b F¸0

=)  Mf uf mstujeb jm temgpb uteaezdfjb ad tå`fe`d jm `rbfbgmtrdlm efjustreda, sm botuvemrbf abs senuemftms temgpbs jm `e`ab (mf `mftåsegds jm gefutbs) pdrd ufd bpmrdred< 43, 4;, 4;, 4;, 4>, 4>, 45, 43, 45, 4> ]teaezdfjb ad tdoad pdrd ad `daece`d`eðf jm vmab`ejdj pbr ma gåtbjb ^mstefnkbusm sm botuvemrbf abs senuemftms rmsuatdjbs< Kdoeaejdj< Oumfd (@?) Mscumrzb< Oumfb (@?) @bfje`ebfms jm Zrdodlb< Oumfds (@) @bfsestmf`ed< _mnuadr (J) Pborm ad odsm jm ad efcbrgd`eðf dftmrebr, jmtmrgefm ma Zemgpb fbrgda y temgpb mstäfjdr. Pm jmtmrgefð qum abs supamgmftbs vdredoams `brrmspbfjmf d 8% (: XZBP) 

_msbau`eðf< 43

4;

4;

4;

Zemgpb

4>

 

4>

45

43

45

4>

4>.=

mstegdjb (Zm)

Fbt btd< d< Bpmrdred Gulmr.

Sdabrd`eðf ^mstefnkbusm Kdoeaejdj

 Oumfd (@?)

8.80

Mscumrzb

Oumfb (@?)

8.8?

@bfje`ebfms jm Zrdodlb

Oumfds Oum fds (@)

8.8?

@bfsestmf`ed

_mnuad _m nuad r (J)

8 8.8>

Cd`tbr jm Sdabrd`ebf  

(Cv) Zemgpb fbrgda (Zf) Zf Zemgpb mstdfjd m stdfjdrr (Zs) Pupamgmftbs (P) Zbtdaa Pupam Zbtd Pupamgmftbs gmftbs

 

4+8.8>7 4.8>   Cv*Zm 4.8>*4>.= 7 4;.>0 Zf*(4+P)

P.celbs+P.vdredoams

8.44 (Gulmr)

_MPX]MPZDP Ma temgpb fbrgda jm ad bpmrdred ms < 4;.>0 Ma temgpb mstdfjdr jm ad bpmrdred ms < ?;.>;

Zemgpb mstdfjd m stdfjdrr (Zs)   4;.>0*(4+8.44) Zs Zs

 

?8.>;:>=

?8.>; Xänefd ; jm 5

 

]fevmrsejdj @bftefmftda Nrupb 84 F_@ 4=?;:

Efnmfemrçd jm Gåtbjbs Xrbju`tb D`djåge`b F¸0

CE_GDP JENEZDAMP<

Drquçgmjms Doma Dnuerrm _blds 

Crmjjy Odfjd Tuespm 

@amvmr Dydad Crmtma 

Mje Ludf Dpbftm Zdnudjd 

Xänefd 5 jm 5