Ejercicios Resueltos de Entrepisos

download Ejercicios Resueltos de Entrepisos

of 5

Transcript of Ejercicios Resueltos de Entrepisos

  • 7/31/2019 Ejercicios Resueltos de Entrepisos

    1/5

    8QLYHUVLGDG 7HFQROyJLFD 1DFLRQDO &DUUHUD ,QJHQLHUtD &LYLO)DFXOWDG 5HJLRQDO 6DQWD )H &iWHGUD$1/,6,6 (6758&785$/ ,, $xR

    (-(5&,&,2 7,32 1

    -73 ,QJ &LYLO *XLOOHUPR )HUUDQGR 3URIHVRU 7LWXODU ,QJ &LYLO 9LFWRULR 6RQ]RJQL

    P

    P

    (/(9$&,21

    3/$17$

    =

    '(7$//(

    FP

    FPP

    GG

    'LVHxDU OD HVWUXFWXUD SDUD OD HVFDOHUD GHO FURTXLV$QFKR GH HVFDOHUD P +XHOOD FP &RQWUDKXHOOD FP3LVR FHUiPLFR H PP VREUH FDUSHWD GH FHPHQWR DUHQD H FP &LHORUUDVR GH \HVR DSOLFDGRFP+RUPLJyQ + PtQLPR DUPDGR I F 03D NJ FP 9HU WDPELpQ &DS D GtDV VLQR VH HVSHFLILFD RWUD FRVD &DS FDS$FHUR $'1 I \ 03D NJ FP WHQVLyQ GH IOXHQFLD FDUDFWHUtVWLFD 7DEOD FDS&DUJD YLYD SDUD HVFDOHUDV HQRILFLQDV / .1 P FDS

    '(6$552//23DUD DGRSWDU HO HVSHVRU VLQ WHQHU TXH UHFXUULU D YHULILFDFLRQHV SRVWHULRUHV GHDGRSWDU XQ HVSHVRU PtQLPR LQGLFDGR HQ HO 5HJODPHQWR FDS 7DEOD D3DUD ORVDPDFL]D HQ XQD GLUHFFLyQ OX] K OXHJR FP FP HVSHVRU WRWDO3DUD HO UHFXEULPLHQWR YHU FDS UHFXEULPLHQWR PtQLPR FDVR F ORVDV SDUD GE

    PP PP SHUR GE

    &5248,6

    3(563(&7,9$

  • 7/31/2019 Ejercicios Resueltos de Entrepisos

    2/5

    8QLYHUVLGDG 7HFQROyJLFD 1DFLRQDO &DUUHUD ,QJHQLHUtD &LYLO)DFXOWDG 5HJLRQDO 6DQWD )H &iWHGUD$1/,6,6 (6758&785$/ ,, $xR

    (-(5&,&,2 7,32 1

    -73 ,QJ &LYLO *XLOOHUPR )HUUDQGR 3URIHVRU 7LWXODU ,QJ &LYLO 9LFWRULR 6RQ]RJQL

    6H DGRSWD XQ HVSHVRU GH FP/XHJR GW FP G E &F VH DGRSWD &F FP

    3HVR SURSLR ORVD'DGR TXH OD ORVD GH FP HVWi LQFOLQDGD SDUD FDOFXODU FRQODV FDUJDVHQ SUR\HFFLyQ KRUL]RQGLYLGLU SRU HO FRVHQR GHO iQJXOR GH LQFOLQDFLyQ3HVR HVSHFtILFR GHO KRUPLJyQ DUPDGR + $ .1 P &,562& FDS

    &RQVLGHUDUHPRV WRGDV ODV FDUJDV SDUD HO DQFKR WRWDO GH OD HVFDOHUD GH P/XHJR' /RVD P .1 P P FRV .1 P

    3HVR SURSLR HVFDORQHV3S GH XQ HVFDOyQ P P .1 P P .1 HVF3S GH ORV HVFDORQHV SRU PHWUR GHODUJR GH HVFDOHUD .1 H P .1 P' HVF .1 P

    3HVR SURSLR FDUSHWD SDUD SLVR \SLVR FHUiPLFR DSOLFDGRV HQ OD KXHOOD \ OD FRQWUDKXHOOD3HVR HVSHFtILFR PRUWHUR SDUD FDUSHWD .1 P3HVR HVS SLVR FHUiPLFR .1 PSDUD XQ FHUiPLFR GH PP GH HVSHVRU FDS &,562&3DUD QXHVWUR FDVR HQ TXH HO HVSHVRU GHO FHUiPLFR HV GH PPKDUHPRV ODSURSRUFLyQ

    3ULPHUR FDOFXODPRV HO SHVR SRU FDGD HVFDOyQ' SLVR FDUS P P [ P [ .1 P FDUSHWD P P [ [

    .1 P SLVR ` P .1 P .1 P P .13UR\HFWDGR SRU PHWUR GH HVFDOHUD HQ KRUL]RQWDO UHVXOWD' SLVR FDUS .1 P

    ' SLVR FDUS .1 P

    3HVR SURSLR FLHORUUDVR' FLHORUU \HVR.1 P [ P .1 P LQFOLQDGR[ FRV .1 P HQ KRUL]RQWDO

    ' FLHORUU \HVR.1 P

    &DUJD YLYD / .1 P$FFLyQ GH OD FDUJD YLYD HQHO DQFKR GHOD HVFDOHUD / .1 P[ P .1 P

    &20%,1$&,1 < 0$

  • 7/31/2019 Ejercicios Resueltos de Entrepisos

    3/5

    8QLYHUVLGDG 7HFQROyJLFD 1DFLRQDO &DUUHUD ,QJHQLHUtD &LYLO)DFXOWDG 5HJLRQDO 6DQWD )H &iWHGUD$1/,6,6 (6758&785$/ ,, $xR

    (-(5&,&,2 7,32 1

    -73 ,QJ &LYLO *XLOOHUPR )HUUDQGR 3URIHVRU 7LWXODU ,QJ &LYLO 9LFWRULR 6RQ]RJQL

    0DWHULDOHVI F 03DI \ 03D I F 03D

    0 X .1P 0RPHQWR UHTXHULGR 55

    IOH[LyQ'HIRUPDFLRQHV HVSHFtILFDVVE 6HFF FRQWURODGD SRU WUDFFLyQ 5HJODPHQWR

    'HEH VHU 0QRPLQDO 0 X .1P 0QEZ FP K FP

    UHFXEU &F PP6XSRQLHQGR TXH OD EDUUD GH DFHURD FRORFDU VHUiGE PP OD DOWXUD ~WLO VHUiGW FP FP FP FP

    3RU HTXLOLEULR DQDOtWLFR & 7 UHVXOWDQWH GH FRPSUHVLyQ UHVXOWDQWH GH WUDFFLyQ/XHJR & I F E Z D 7 $V I \

    0RPHQWR QRPLQDO GH OD VHFFLyQ0Q & ] 7 ] I F E Z D G W D $V I \ G W D

    'DGR TXH VH GHEH FRORFDU XQD DUPDGXUD PtQLPD TXH JDUDQWLFH VXILFLHQWH GXFWLOLGDG GHVROLFLWDGDE \ V SDUD TXH KD\D XQ GHVDUUROOR GH GHIRUPDFLRQHV JUDQGHV DXQTXH VOOHJDU D OD URWXUD GHO DFHUR \ DVt ODVILVXUDVDYLVHQ GH XQ SUREOHPDHVWUXFWXUDO VPtQLPD FX\D FXDQWtD GHEH VHU

    PtQ $V E Z G W VLHQGR ODV H[LJHQFLDV

    PtQ I F I \

    PtQ I \

    6H DGRSWD OD PD\RU SRU OR TXH $V PtQPtQ E Z G W FP FP FP

    8QD YH] FRQRFLGD OD DUPDGXUD PtQLPD D FRORFDU FDOFXODPRV OD TXH UHVXOWD QHFHVDULD SDUVROLFLWDFLyQ QRPLQDO 0Q

    35,0(5 352&(',0,(172$SOLFDPRV GHO HMHPSOR GH UHIHUHQFLD OD IyUPXOD VLJXLHQWH

    $V ^ I \ G W I F E Z I\ 5$,= I \ G W I F E ZI \ I F E Z 0Q I \ `

    SRU KRPRJHQHLGDG GLPHQVLRQDO VH GHEHQ LQJUHVDU ODV WHQVLRQHV HQ 01 FPODV GLPHQVLRQHV HQ FP \ HO0Q HQ 01FPI \ 03D 01 FPI F 03D 01 FP0Q 01FP

    $V ^ FP 5$,= FP FP `$V FP SDUD XQ DQFKR EZ FP

    (VWD DUPDGXUDHV VXSHULRU D OD PtQLPD UHJODPHQWDULD

    6(*81'2 352&(',0,(172'H 7DEOD )/(;,1 SiJLQD FRUUHVSRQGH D DFHUR I \ 03D

  • 7/31/2019 Ejercicios Resueltos de Entrepisos

    4/5

    8QLYHUVLGDG 7HFQROyJLFD 1DFLRQDO &DUUHUD ,QJHQLHUtD &LYLO)DFXOWDG 5HJLRQDO 6DQWD )H &iWHGUD$1/,6,6 (6758&785$/ ,, $xR

    (-(5&,&,2 7,32 1

    -73 ,QJ &LYLO *XLOOHUPR )HUUDQGR 3URIHVRU 7LWXODU ,QJ &LYLO 9LFWRULR 6RQ]RJQL

    /XHJR0HX 0Q 1Q \ H 01P 01 P P 01P

    .G G W 5$,= 0HX E Z

    .G P 5$,= 01P P

    .G

    3RU LQWHUSRODFLyQ OLQHDO UHVXOWD.H ^ ` ^ `.H

    $V QHFHVDULD .H 0HX GW FP 01 01P P$V QHF FP

    7(5&(5 352&(',0,(172

    (Q WpUPLQRV GH .D FRQ WDEODDX[LOLDU SXEOLFDGD HQ ODSiJLQD ZHE GH&,562&SDUD HO FiOFXOR GHEHPRV SRQHU HO 0Q HQ 01FP\ OD WHQVLyQHQ 01 FP.1P 01P 03D 01 P

    P Q 0Q I F E Z G W YiOLGR SDUD VHFFLyQ UHFWDQJXODUP Q 01FP 01 FP FP FPLQWHUSRODQGR OLQHDOPHQWH PQ .D

    OXHJR .D

    &RQWUROHV.D PtQLPR $V PtQ I \ I F E Z G W

    FP 03D 03D FP FP .D.D Pi[ %

    /XHJR .D PtQLPR .D .D Pi[LPR EXHQDV FRQGLFLRQHV

    $V .D I F E Z GW I \ $V 03D FP FP 03D$V FP HQ XQ DQFKR GH FP

    (O YDORU GH $VSRU IyUPXOD HUD GH FP DGRSWDPRV HVWH YDORU SDUD ORV FiOFXORV TXH VLJXHQ

    (O GLiPHWUR GH EDUUD DGRSWDGR HV GH PP FX\D VHFFLyQ HV GH FPFRQ HVH GLiPHWUR VH QHFHVLWDQFP FP EDUUDV EDUUDV GE PP SHUR FRQ HVD FDQWLGDG GH EDUUDV OD

    VHSDUDFLyQ HQWUH HOODV UHVXOWD H[FHVLYD DSUR[ FP \D TXH VH UHFRPLHQGD XQD VHSDUDHQWUH EDUUDV HQ ORVDV GH DSUR[ FP K HQHVWH FDVR VHUtDVHS Pi[ FP FP FP

    &RQVLGHUDQGR TXH GHEH KDEHU XQ UHFXEULPLHQWR ODWHUDO PtQLPR GH &F FP SDUD ODV EDUWHQGUHPRV

    FP FP HVSDFLRV WRPDPRV HVSDFLRV UHVXOWDQGR EDUUDV3RU WDQWHRV DGRSWDPRV ILQDOPHQWH EDUUDV GE PP TXH GD XQD VHFFLyQ GH DUPDGXUD HIHF

    FP FP&RQ XQD VHSDUDFLyQ GH FP HQWUH EDUUDV TXHGDUi XQ UHFXEULPLHQWR ODWHUDO GH ^ FP FP ` FP DFHSWDEOH

    )LQDOPHQWH$V G E PP F FP

    $UPDGXUD GH UHSDUWLFLyQ3DUD ORJUDU XQD DGHFXDGD GLVWULEXFLyQ GH ODV WHQVLRQHV GH WUDFFLyQ HQWUH ODV EDUUD

    OD ILVXUDFLyQ VH GHEH FRORFDU DUPDGXUD UHSDUWLGD WUDQVYHUVDO D OD SULQFLSDO FX\D FDRUGHQ GHO DO GH OD SULQFLSDO GLVWULEX\HQGR HVWD FDQWLGDG HQ FDGD PHWUR GH ODUJR G

    $V UHSDUWLGD $V VH DGRSWD SDUD ORVDV PX\ FDUJDGDV FRQ $V FHUFDQD D OD Pi[LPD yGREOHPHQWH DUPDGDV

  • 7/31/2019 Ejercicios Resueltos de Entrepisos

    5/5

    8QLYHUVLGDG 7HFQROyJLFD 1DFLRQDO &DUUHUD ,QJHQLHUtD &LYLO)DFXOWDG 5HJLRQDO 6DQWD )H &iWHGUD$1/,6,6 (6758&785$/ ,, $xR

    (-(5&,&,2 7,32 1

    -73 ,QJ &LYLO *XLOOHUPR )HUUDQGR 3URIHVRU 7LWXODU ,QJ &LYLO 9LFWRULR 6RQ]RJQL

    $V UHS FP FP SRU PHWUR GHORQJLWXG GH $V

    $GRSWDQGR EDUUDV GE PP UHVXOWDFP FP EDUUDV SRU PHWUR GH ORQJLWXG FP VHS FP HQ JHQHUDO VH

    UHFRPLHQGD DGRSWDU VHS Pi[ GH OD $V UHS FPSRU OR TXH DGRSWDPRV$V UHS GE PP F FP

    9HULILFDFLyQ DO FRUWH GH OD ORVD5HFRUGDPRV TXH HO FRUWH VH FRQWUROD FRQ OD FRODERUDFLyQ GHOKRUPLJyQ \ GHO DFHUR GHELH

    9F 9V 9X

    /D UHDFFLyQ FDOFXODGDHV GH .1 SDUD EZ FP

    6L QR VH FRORFD DUPDGXUDYHUWLFDO WLSR HVWULERV GHEH VHU 5$,= IF 03D

    3DUD ORVDV GH HVFDOHUD DGRSWDPRV HO YDORU GHO FRUWH SUHVHQWH D ILOR LQWHUQR GHO DSUHFLVLyQ HQHO HQXQFLDGR GHO HMHUFLFLR WRPDPRV FRPR FRUWH OD UHDFFLyQ FDOFXODGD \SRU9X .1

    /D FDSDFLGDG GH FRUWH SURSRUFLRQDGD SRU HO KRUPLJyQ HV9D 5$,= I F E Z G W9F 5$,= 03D P P 01 .1/XHJR 9F .1 .1

    $GHPiV VL 9X 9V KD\ TXH FRORFDUDUPDGXUD GH FRUWH YHUWLFDO PtQLPD9X .1 .1 .1 QR HVQHFHVDULR FRORFDU DUPDGXUD PtQLPD GH FRUWH

    &URTXLV GH FDUJD \ GLDJUDPDVGH VROLFLWDFLRQHV

    'LDJUDPD GH FRUWH 9X

    'LDJUDPD GH PRPHQWRV 0X

    .1

    .1P