Cyclone y Bim

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    INDICE

    CYCLONE....................................................................................................................................2

    1. DEFINICIÓN....................................................................................................................... 2

    2. USO DE CYCLONE.............................................................................................................. 2

    3. NIVELES JERÁRQUICOS DE LA CONSTRUCCIÓN.................................................................2

    4. PROCESO PARA MODELAR EL PROCESO DE CONSTRUCCIÓN............................................2

    . PROCEDIMIENTO PARA MODELAR LOS PROCESOS DE CONSTRUCCIÓN............................3

    !. MODELO DEL PROCESO.................................................................................................... 3

    ". EL USO DE CYCLONE PARA EL MODELO DE SIMULACIÓN..................................................3

    #. ELEMENTOS CYCLONE.......................................................................................................4

    $. EJEMPLO APLICATIVO DEL TRA%AJO ESCALONADO............................................................"

    BIM (Building Information Modeling)...............................................................................................1&

    1. GENERALIDADES............................................................................................................. 1&

    2. ORIGEN........................................................................................................................... 1&

    3. USOS............................................................................................................................... 11

    4. %IM APLICADO A EDIFICACIONES....................................................................................11

    . EJEMPLO' VIVIENDA UNIFAMILIAR EN YÁTOVA..................................................................14

    !. %IM APLICADO A O%RAS CIVILES'....................................................................................1#

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    )*+,+-( () /- ,*+0*/- ( +/5(6*/ 5 /- ((7()*/- 6/7/)()*(- 89-06/-

    C()*+,+-( () ( 6,7/ ( ,660:) 5 () /- +/6(-/- *(6)/:;06/-

    O+;,)0/

    P+/6(-/

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    CYCLONE

    1. DEFINICIÓN

    CYCLONE -0;)0?6, 69606/- ( /(+,60/)(- ( , +(. E- ), *@6)06, ( 7/(,/ ((+70*( , +(+(-()*,60:) ;+B?6, 5 , -07,60:) ( -0-*(7,- 0-6+(*/- ( -( /6, (,- =,+0,(- (*(+70)9-*06, / (-*/6B-*06,.

    2. USO DE CYCLONE

    L, -07,60:) ( +/6(-/- 6/)-*+660:) *00(+B+06/- () , ;(-*0:) ( , 6/)-*+660:) (() -(+ ()*()0/-.

    3. NIVELES JERÁRQUICOS DE LA CONSTRUCCIÓN

    4. PROCESO PARA MODELAR EL PROCESO DE CONSTRUCCIÓN

    C:7/ (?)0+ ( 7/(/ ( +('

    1. D(?)0+ *,+(, ( *+,,>/ ( 6/7/)() ) +/6(-/.2. E-*,(6(+ , +(,60:) :;06, ()*+( ,- *,+(,- ( *+,,>/.

    3. L,- *,+(,- ( *+,,>/ -,) +(6+-/- 5 +(0(+() *0(7/ ,+, -(+ 6/7(*,/ (-*((6/ -( 6/)*,00

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    -/) +(*+,-,/- /+ ,- *,+(,- ( *+,,>/ (-(+,) ,+, ( +/6(-,70()*/ (*6. C,)/-/) -,/- / -,/H /+ 6,, *,+(, ( *+,,>/ ( -0;, 5()/ , *+,=@- ( , +(.

    5. PROCEDIMIENTO PARA MODELAR LOS PROCESOS DE CONSTRUCCIÓN

    1. D(?)0+ /- +(6+-/-.2. I()*0?6,+ ,- *,+(,- ( *+,,>/ () ( +/6(-/ *,+(,- ( *+,,>/ 6/) ,- ( (-*B)

    0706,/- /- +(6+-/-H.3. D(*(+70),+ , :;06, ( , *+,)-8/+7,60:) ( /- +(6+-/-.4. C/)-*+0+ ) 7/(/ ( +/6(-/.

    6. MODELO DEL PROCESO

    %B-06,7()*( )(6(-0*,7/- , -0;0()*( 6/) ( ?) ( -07,+ ( +/6(-/ +(,'

    1. CB)/ -( (( +/;+,7,+ ,+, 0)060,+ ), *,+(, ( *+,,>/2. Q@ +(6+-/- -/) )(6(-,+0/- ,+, - +/6(-,70()*/

    3. T0(7/ 6/)-70/ /+ ( +/6(-,70()*/ ( /- +(6+-/-

    P,+, /*()(+ ( *0(7/ 6/)-70/ /+ ( +/6(-,70()*/ ( +(6+-/ *()(7/- ('

    1. C/7+/,+ -0 , *,+(, ( *+,,>/ (( -(+ +/6(-,/ +(-*+0660/)(- :;06,- 5 (+(6+-/- -( 67()H. S0 -9 ()*/)6(- CONTINUAR ( / 6/)*+,+0/ =,5, , ,-/

    2. O*()(+ ( *0(7/ )(6(-,+0/ ,+, +/6(-,+ (-*, *,+(,3. C,6,+ ( *0(7/ )(6(-,+0/ ,+, 6/7(*,+ (-*, *,+(,4. A6*,0/

    • G()(+,+ /*+,- ()*0,(- () ,- ( ,*+,=0(-,) ) )// COLAGEN• C/)-/0,+-( 6/) /*+,- )0,(- ( >/ 6,)/ ,-, ), 8)60:) CONSOLIDAR

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    • R(;0-*+,+ +/660/)(- /)( ,-,) ), 8)60:) ( 6/)*,/+

    M/(,/ 6/) CYCLONE +(0(+( )/ ,+, ,6(+ -/ ( /- ((7()*/- ( 7/(,/ 5,- )0,(- ( >/ ,+, 7/(,+ , :;06, ( +/6(-/. A =(6(- ,- ()*0,(- )/-(+B) )(6(-,+0,7()*( +(6+-/-. D(-( M06+/CYCLONE )/ 0-*0);( ()*+( ()*0,(- (-,-*, ( 7/(,/+ ,+, +//+60/),+ ) 7/(/ 5 070, 0)*(0;()*( ( (+70*0+B, @ K (, ,+, +(6/0,+ (-*,9-*06,- 5 7/(,+ ,(6,,7()*( , :;06, ( +/6(-/.

    8. ELEMENTOS CYCLONE

    D(-6+060:) ( 6,, )/ ( /- 6/7/)()*(- *00( ( ) 7/(/ (-07,60:) *00

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    ( +(*,+/ -( 70() ,(-*( ((7()*/

    F)60:) ( )// S( 0)-(+*, () ( 7/(/,+, +(,0,/+ 5 *+(- ,,0(- -( (?)() ()( -0-*(7,. N/ ,5 ,+0/- -( ,0,) () ( ,),70/ , 6/70()

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    E) , -0;0()*( *,, -( (-6+0() ,- +,60/)(- ( ,- *,+(,- ( *+,,>/ () 70)*/-H'

     TAREA DE TRA%AJO DISTRI%UCIÓN PARAMETROSA,-*(6070()*/ (,+0/-

    %(*, %,>/&.&&1 A*/.&,2.! &.

    E ,,0 7(=( (,+0/

    D(*(+70)0-*06 1

    E ,,0 /)( (,+0/ %(*, %,>/3 A*/1& ,"2.2

    M/(/ CYCLONE

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    . EJEMPLO APLICATIVO DEL TRA!AJO ESCALONADO

    D( )(-*+/ *+,,>/ (-6,/),/ ((;07/- ( =,60,/ ( 6/)6+(*/ ( /-, 7,60

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    C"#$% &'$ '/0*,#"&% &'$ #%+#,'-%

    C"#$% &'$ ",*&% &'$ #%+#,'-%

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    C"#$% &'$ ,'$'*&% &'$ #%+#,'-%

    C"#$% &'$ 0$*-*#*&% &'$ #%+#,'-%

    C"#$% &'$ -,*+/0%,-' &'$ #%+#,'-%

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    M%&'$*#"+ '+ #%++-% &' $%/ &"*,*(*/

    Diagrama en conjunto:

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    BIM (BUILDING INFORMATION MODELING

    1. ENERALIDADES

    E- ( +/6(-/ ( ;()(+,60:) 5 ;(-*0:) ( ,*/- ( (0?60/ +,)*( - 606/ ( =0,*00/ ( )/7+( ( V0+*, %00); E0?60/ V0+*,H (-( 1$#4 () -+/;+,7, A+60CAD +(6/)/60/ 6/7/ ( +07(+ -/8*,+( ( CAD ,+, 6/7*,/+,(+-/), 6,,< ( 6+(,+ *,)*/ 0>/- () 2D 6/7/ 3D.

    L(;/ A*/(- 6/7()

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    /+ D(-0;) D,*, 9(+ () 0);()0(+9, ( (*,(H CADD(*,0- D, S/8*,+( ()*+(/*+/-.

    3. USOS

      %IM -( -, () 6,0(+ *0/ ( +/5(6*/ ( 0)8+,(-*+6*+, 60=0 ,+, 6+(,+

    =0-,0

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    P,+, =,/+,+ , 0)8/+7,60:) ( 6/)*0()( ) 7/(/ %IM )/ -:/ -( +(?(+( , , ,+*(;+B?6, ( 7/(/ -0)/ ( (+70*( =,/+,+ ,(7B- , 0)8/+7,60:) 6/)*()0, () @.

    LOD 199E +07(+ )0=( (-+ &"/':%#%+#'0-*$ () (6, -( ,/+*,+B), =0-0:) ;()(+,( B-06,7()*(6/)-0-*0+B () -B+(, =/7(),*+, /6,0(660:) ;/,.A)( (-*( )0=( )/ (( 6/)-0(+,+-( 6/7/ ) ,)*(+/5(6*/ 6/7(*,7()*( ((-(+=0+ 6/7/ (-*0/ ( =0,00, 5 ,+, , =0-,0 , 8,*, ( ,;) (*,(

    6/)-*+6*0=/. N/- (+70*0+B ;()(+,+ /- /67()*/- 6/)=()60/),(- )(6(-,+0/- (6/7/)() ) +/5(6*/ */, - )/+7,*0=, 5 >-*0?6,60:) *@6)06, ,(7B- (

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    +(-(-*/ (-*07,/ ( (>(660:) 7,*(+0, 5 ,+/;+,7,60:) 0)060, /+ )0,(- ( /+,.P/+ (/ () (-*( )0=( ,- 0-*+060/)(- 0)*(+0/+(- (()(-*,+ ,6,,,-. P(+70*( (-,++/,+ (-*07,60/)(- (6/-*(- -/+( /- ,*/- (-(69?6/- +//+60/),/-. T/,-,- 6,,- ( 6/7/)() / ((7()*/- 6/)-*+6*0=/- (()(-*,+ 5, (?)0,- ,-9 6/7/ /- ,6,,/-. S( *+,*, ( )7/(/ ( 6/)*0()( ;+,) 6,)*0, ( 0)8/+7,60:) *0.

    LOD 359

    C/7/ (7/- 6/7()*,/ ,)*(+0/+7()*( (-*( )0=( ((-,++// (- ( )0=( 0)*(+7(0/ ()*+( ( LOD 3&& 5 (LOD 4&&. W,-*, ,/+, -( *()9, ) 7/(/ 6/) 76,

    0)8/+7,60:) ( /- ((7()*/- ( / 6/7/)9,) (+/(-*, 0)8/+7,60:) , =(6(- )/ (+, (-(69?6,. E) ((>(7/ ( =()07/- -0;0()/ ,+, 6/7+()(+ /-)0=((- ( (-,++// () ( LOD 3&& -,9,7/- ( (+,) 0,+ (+, 6,+,/ (-*+6*+, ( /+70;:) 5 6/)),- 07()-0/)(- ( &3&3 7(*+/- 5 2 7(*+/- (,*+,. E) ( LOD 3& 0)607/- ( 6B6/ (-*+6*+,( )/- (+70*0+B -,(+ ,- ,+7,+,- )(6(-,+0,- 5 -

    0-*+060:) () ( 0,+.

    LOD 499

    A6,)(660:) ( (0?60/ (- /-((7()*/- ( / 6/7/)() *0()() 0)8/+7,60:) +(60-,( 8,+06,60:) 7/)*,>( ()-,7,>( 5 (*,(- )(6(-,+0/-,+, , 6/)-*+660:) ( (0?60/. G+,60,- , , (,6*0* 56,+0, ( , 0)8/+7,60:) ( +(-(-*/ 5 ,+/;+,7,60:) *(7/+, *()+B) ), (-*07,60:) 756(+6,), , , +(,0, /)( , (-*07,60:) ( 6/-*(- -(,+B () ,-( , 6/-*( +(, ( /- ((7()*/- ( 6/)*0()(

    ( 7/(/.

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    LOD 599

    R(+(-()*, ( +/5(6*/ ( 5, -( , 6/)-*+0/-/) ,- 6/)060/)(- 6/)8/+7( , /+,. S( *+,*, (7/(/ ,(6,/ ,+, ( 7,)*()070()*/ 58)60/),70()*/ ( -( ( 8,600*,+B , FM F,600*5M,),;(7()*H ,+, , 8,-( ( (/*,60:) ((0?60/.E-*( 7/(/ +((>,+B *//- /- 6,70/- ( -(,) +/60/ , / ,+;/ ( , /+,. E- / ( -(6/)/6( 6/7/ ( 7/(/ X,- 0* (- (60+ *, 56/7/ -( , 6/)-*+0/.E) ( LOD && /+(7/- *()(+ 0)8/+7,60:) (+/=((/+ ( /- 7,*(+0,(- 8(6,- ( 6/70()

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    FASE DE DISEZO LOD2&&' T+,- ,(+ (-*0,/ (*,,,7()*( , 0)8/+7,60:) 8,600*,, -( +/6(( 6/) (7/(,/. E- /-0( ( ()6/)*+(7/- ,9 0)6/(+()60,- / 0)6/);+()60,- ( *0/;(/7@*+06/ (-*+6*+, ( 7,*(+0,(- +,)9-*06,- / ( 08(+()60, ( 0)8/+7,60:).

    INCO?ERENCIAS E INDEFINICIONESE) ,)*, -:*,)/ ( 7+/ -(;) -( 0)06, (- ( 3& 67 ( (-(-/+ ( /+70;:),+7,/ -0()/ /- 0,+(- ( 3&3&67. V(7/- () /- ,)/- ?;+, "H ( -07()-0:) )/ 6/0)60( 70()*+,- ( , 0>,+/ () REVIT ?;+, #H -9 ( (,(+8(6*,7()*( ()+,-,/.

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    É-*( (++/+ =(=( , /6++0+ () ( 7+/ , ( +(6,( , (-6,(+,. E) ,)*, 70( &3!7 5 () ((*,( 6/)-*+6*0=/ &3#7 )/ 6/0)60()*( 6/) , -7, ( (-(-/+(- 0)06,, () , 7(7/+0,.E-*/ -( ,6( ,*()*( 6,)/ -( +(0>, ( 7/(/ () REVIT.

    E) , +,7, *,70@) ,,+(6( ), ((, 0)6/);+()60, (- () /- ,)/- CAD , +,7,70( "7 5 -(;) 0)06, *0()( ), ()0()*( ( 1# [. P(+/ )/ -( , *()0/ () 6()*, ,

    (+*, ( ;,+,>(. P/+ / ( , 6//6,+, ( 0)*()*,+ +(,0( 5, +,7, (-*B 0() 0>,, (- /6, ), /);0* 7,5/+ 5 *0()( ), ()0()*( ( 1#[-0) (7,+;/ () /*+/ ,)/ )/ ,,+(6( ,-9.

    E-*, 060, ( 0)8/+7,60:) -( =(=( , ,6(+ +(-()*( () /- 7,*(+0,(- ( ,6,,/.P(- /+ (>(7/ () , 0)*+, ( 8,6,, () /- ,)/- -( 0)06, ( -( *00(7/'E) /- ,)/- )/ -( 0)06,, -0 ,9, 8,-/ *(6/ 5 ( ,(+/ :)( 0, 6//6,/.

     T,7/6/ ,9, 0)8/+7,60:) ( (*,( 6/)-*+6*0=/ ( , 60(+*, -0 0() *+,- 6/)-*,+/ 6/)( ,+0*(6*/ 5 8,600*,+)/- , 7(7/+0, =0 ( ,9, 8,-/ *(6/ () */, , =0=0(), 5 -(7/(: , 60(+*, 0)=(+*0, 6/) , -/60:) ,/*,,.

    A)( () CAD , (-6,(+, (-*,, 0() 0-(,, 5 679, 6/) ,- (-(60?6,60/)(- , 6+(,+,() REVIT @-*( 7/-*+,, ) ,=0-/ /+ ( ( )/ (+, /-0( 6+(,+,- 6/) (-,- 07()-0/)(-.REVIT (+70*( *()(+ () 6()*, ,- +(-*+0660/)(- ( /0;,/ 67070()*/ /+ )/+7,*0=, 56,6, , 07()-0:) ( , (, 5 ( , 6/)*+,(, 6/) +(,60/)(- ;(/7@*+06,- 5, ( ,-(-6,(+,- (-*B) +(,60/),,- 6/) ) )0=( -(+0/+ 5 )/ 0)8(+0/+.

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    E) (-*( 6,-/ (-*/- ,*/- ( )/ -(6/)/60(+/) () ( (-*0/ ;(/*@6)06/-/) 07+(=0-*/- 5 )/ (() -(+ +(06/- 6/) , *(6)//;9, %IM.P(+/ -9 ( (- 60(+*/ ( -0 ()-,7/- () ( 7/7()*/ () ( ( ((7/- 6,70,+ ( +/5(6*/() ( /67()*/ ?), ( /+, -(+9, 7B- 8B60 7/0?6,+/ () REVIT ( () CAD.

    D(-( ( )*/ ( =0-*, ( 7,)*()070()*/ -9 ( +(-*,+9, 0)*(+(-,)*( 6/)/6(+ /- (*,(-( 6,70/.

    6. !IM APLICADO A O!RAS CIVILES

    1. A06,60:) () /+,- 0)(,(-

    S0 0() (- 60(+*/ ( (0-*( ) ;+,) (-,++// () ,- (0?6,60/)(- /+ -/8*,+( 6/7/ (REVIT ( 0)=/6+, (-( ,- (-*+6*+, ,-*, ,- 0)-*,,60/)(-H. A 6/)*0),60:) -(+(-()*,+B -/8*,+( ( 0)=/6+,) ( 7/(,70()*/ 3D 5 *(6)//;9, %IM.

    ISTRAM ISPOL'

    ISTRAM (- ), ,06,60:) ( /+0;() (-,/ ( 6()*, 6/) 7B- ( 2 ,/-. S /*()60,( 6B6/ 5 , 6/)6(60:) ;/, ( +/5(6*/ -/) /- ( ,- 6,+,6*(+9-*06,- 7B- =,/+,,-( (-*( -/8*,+(. A 08(+()60, ( /*+/- +/;+,7,- ( ()*/+)/ ( *+,,>/ (-*B(-(69?6,7()*( 0-(,/ ,+, (+70*0+ , 0);()0(+/ 7(6,)0/-. S (-*+6*+,7/,+ (+70*( (-6/;(+ (-( ), 6/)?;+,60:) -()60, ( (+70*( +/5(6*,+6,++(*(+,- 5 ,*/0-*,- ,-*, /*+,- 7B- 6/7(>,- ( 6/)*(7,) +/5(6*/- (8(++/6,++0(- ( 0-*+060:) 5 ,,-*(6070()*/ 7(0,)*( +((- ( */- ( +(8(+/+9, ( ,- =9,- (0-*()*(- ( +/5(6*/- ( +,)0

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    F,600, ,+, *+,,>,+ 6/) 6,+*/;+,89,- ( ;+,) (*()-0:). T/,- ,- (7B- (++,70()*,-( 7(+6,/ -/) 7B- ()*,- ( ISTRAM ISPOL () (-*( ,,+*,/ -/+( *// ,- ,-,,-() ,*,8/+7,- CAD (*(+),-. P(+70*( 07/+*,+ /- 7,,- ( 0=(+-,- +/6(()60,-(0*,+/- /)(+/- () 6/*, 6,70,+/- ( (-6,, ?*+,+/- ( 0)*(;+,+/- ,+, 8/+7,+ )

    7,, ( -0+=( 6/7/ 8/)/ ;+B?6/ 5 7/(/ 0;0*, ( *(++()/ 6/)-*0*5()/ ( ,*/ (,+*0, B-06/ () ) -0-*(7, 7/(+)/ ( +/5(6*/. S( 6/7(7()*, 6/) (++,70()*,-,+, , *+,)-8/+7,60:) ()*+( S0-*(7,- ( R(8(+()60, ( C//+(),,- 5 6,70/- ( -/-.D, , /-000, ( ,06,+ ) 6/7(*/ S0-*(7, ( R(8(+()60, ( C//+(),,- CRSH , ,6,+*/;+,89,. D( 8/+7, 75 -()60, 6/) ) -// 606 (- /-0( /+ (>(7/ *+,)-8/+7,+6,+*/;+,89,- /+*/8/*/- 5 +/5(6*/- 6/7(*/- ( /+, 0)(, ( ) -0-*(7, ED& ,ETRS#$.

    E -0-*(7, -//+*, -(,+,,7()*( / 7(

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    E) (-*( 6,-/ +07(+/ -( 0

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

     T,70@) -( *00

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    UNIVERSIDAD NACIONAL DE INGENIERÍAFACULTAD DE INGENIERÍA CIVILDEPARTAMENTO ACADÉMICO DE CONSTRUCCIÓN

    S( 6/)65: ( (- 75 08(+()*( 7,)(>,+ ) +/;+,7, (-*B*06/ () ,)/ ( )/7,)(>,/ /+ %IM 5, ( () (-*, =(< , (-*+6*+, 6/7/ ) 6/)>)*/ ( -:0/()8/( 7B- +(,0-*,H ( 0)6-/ -( (( =(+ /- +(8(+