analisis edificio de albañileria de 5 niveles t.1

8/17/2019 Analisis Edificio de Albañileria de 5 Niveles t.1

1/14


2/14

S%C 200 2.!& 1.2 1 2(*2

SOLO &? PISO 1&0 2.!& 1.2 1 &*1# = 4''*(.'

*.1!&&1!01*O6 MURO PP LOSA S%C 1a4 S%C & L A t CM 1a&

1 1!00 400 200 1&0 ' 2.& 0.14 21!4& 2 1!00 400 200 1&0 4.12& 2.& 0.14 1&0(.1(& * 1!00 400 200 1&0 2.02& 2.& 0.14 40'.4*& 4 1!00 400 200 1&0 4.12& 2.& 0.14 1&0(.1(& & 1!00 400 200 1&0 2.02& 2.& 0.14 40'.4*& ' 1!00 400 200 1&0 4.( 2.!& 0.14 1((*2.( 1!00 400 200 1&0 ' 1.&2& 0.14 121'!.&

# = !!*4.&&# = 1'((.(

MURO C 1a4 C & # = 1 1*200 24& 21!4& 2.'12& !.& !.((12!!4&! O6 2 !0& 101.&'* 1&0(.1(& 2.'12& !.& !.((12!!4&! O6 * 44&& (*&.*12& 40'.4*& 2.'12& !.& !.((12!!4&! O6 4 !0& 101.&'* 1&0(.1(& 2.'12& !.& !.((12!!4&! O6 & 44&& (*&.*12& 40'.4*& 2.'12& !.& !.((12!!4&! O6

' 11*2( 2124 1((*2.( 2.(02& !.& !.((12!!4&! O6 *20 1*2.& 121'!.& 1.44(& !.& !.((12!!4&! O6

&(!0( 1104&.2& !!*4.&&

MERADO DE CARAS CENRO DE MASAS :MASA SISMICA) 1 a 4 NIELESLEMEN @:k/%,*) L:,) t:,) h:,) PESO:k/) :,) :,) P P@

1 1!00 10.42& 0.14 2.4 ''&&.*2 &.212& &.!2& *4'!0.(&&& *!4*2.12 1!00 2.12& 0.14 2.4 1*&'.' 1.0'2& 4.&& 1441.*(& '20'.44&* 1!00 1.!2& 0.14 2.4 122(.!2 *.(1* 4.&& 4'(&.(1!' &'22.*0!4 1!00 1.2& 0.14 2.4 1101.24 *.1* *.&2& 40((.!0412 *((1.(1& 1!00 1.!2& 0.14 2.4 122(.!2 .& *.&2& !21'.! 4**1.!4*' 2400 1.2 0.14 2.4 !'.'( 2.!2& 0.0& 2(*0.4'4 2.&' 2400 1.2 0.14 2.4 !'.'( (.42& 0.0& (1&2.04 2.&' 1 1!00 ' 0.14 2.4 *(*0.4 0.0& * 2(.2( 114!1.2

2 1!00 *.' 0.14 2.4 22!(.24 2.!2& 1.( '22.*&2 41*'.(*2 * 1!00 1.& 0.14 2.4 !&.' 2.!2& &.2& 2(00.!( &02.4 4 1!00 *.' 0.14 2.4 22!(.24 &.&& 1.( 12(12.'(( 41*'.(*2 & 1!00 1.& 0.14 2.4 !&.' &.&& &.2& &**(.'2 &02.4 ' 1!00 *.' 0.14 2.4 22!(.24 (.42& 1.( 1!*'2.'2 41*'.(*2 1!00 ' 0.14 2.4 *(*0.4 11.4& * 4*!&*.(4 114!1.2

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A B C D E F G H I J K L

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3/14

RAPE 1*&0 (.(& 0.14 0.! 1&0&.*(& &.& 0.0& ('!*.&!(*& 112.!0*(&

LOSA 400 '!.* 1 1 220 &.& * 1'00(* (*1'0S%C 200 '!.* 0.2& 1 *4'& &.& * 20010.*& 10*!&

# = '2''.4'& *4&12.4!24&& 1!(*'.0!0!MERADO DE CARAS CENRO DE MASAS :MASA SISMICA) &O NIEL

EMEN @:k/%,*) L:,) t:,) h:,) PESO:k/) :,) :,) P :k/;,) P :k/;,)1 1!00 10.42& 0.14 1.2 **2.'' &.212& &.!2& 1*4&.42& 1!1'.*(&&2 1!00 2.12& 0.14 1.2 '(.* 1.0'2& 4.&& 20.'!*& *10*.222&* 1!00 1.!2& 0.14 1.2 '14.4' *.(1* 4.&& 2*42.!*&!( 2(11.1&4&4 1!00 1.2& 0.14 1.2 &&0.'2 *.1* *.&2& 2044.4&20' 1!40.!*&&& 1!00 1.!2& 0.14 1.2 '14.4' .& *.&2& 4'0(.4& 21'&.!1&' 2400 1.2 0.14 1.2 4(*.(4 2.!2& 0.0& 141&.2*2 *'.2(( 2400 1.2 0.14 1.2 4(*.(4 (.42& 0.0& 40'.*&2 *'.2(( 1 1!00 ' 0.14 1.2 1!1&.2 0.0& * 14*.'4 &4&.' 2 1!00 *.' 0.14 1.2 114!.12 2.!2& 1.( **'1.1' 20'(.41' * 1!00 1.& 0.14 1.2 4(.( 2.!2& &.2& 1400.4! 2&1*. 4 1!00 *.' 0.14 1.2 114!.12 &.&& 1.( '40'.*44 20'(.41' & 1!00 1.& 0.14 1.2 4(.( &.&& &.2& 2''!.*1 2&1*. ' 1!00 *.' 0.14 1.2 114!.12 (.42& 1.( !'(1.**' 20'(.41' 1!00 ' 0.14 1.2 1!1&.2 11.4& * 21!'.!2 &4&.'

LOSA 400 '!.* 1 1 220 &.& * 1'00(* (*1'0S%C 1&0 '!.* 0.2& 1 2&!(.& &.& * 1&00.(12& !'.2&

4&*0.2! 2&*2(*.&40! 14*4!0.*4*&

NIEL P P P CM CM1 '2''.4'& *4&12.& 1!(*'.0!0! &.&0(001&2 *.112(02 CM= # P2 '2''.4'& *4&12.& 1!(*'.0!0! &.&0(001&2 *.112(02 # P* '2''.4'& *4&12.& 1!(*'.0!0! &.&0(001&2 *.112(02

4 '2''.4'& *4&12.& 1!(*'.0!0! &.&0(001&2 *.112(02 CM= # P& 4&*0.2! 2&*2(*.& 14*4!0.*4*& &.&!0*4(&02 *.1'04&! # P# = 2!&!.1& k/

CORANE ASAL 8UER$AS INERCIALESC= 2.& = 0.22 B/

= $UCSP $= 0.*& P= 2!&.!1& to3R U= 1

S=1.1&

= 4!.'*(*4&* to3 R= '

PISO P:to3) h:,) Ph:to3;,) 8i i O h1 '2.''4'& 2.' 1'2.!*&40! *.'4&(41&1 4!.'*(*4&

8i= Ph

2 '2.''4'& &.2 *2&.(0(1( .2!1'!4*02 4&.!!1!(4 #Ph* '2.''4'& .( 4((.(0'22 10.!*&414& *(.002!*1


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4/14

4 '2.''4'& 10.4 '&1.41'*' 14.&(**((' 2.'2&1'

& 4&.*02! 1* &((.!!4 1*.1!*'*02 1*.1!*'*# = 221(.*4((' 4!.'*(*4&*

DEERMINACION DE LA RIIDE$ DE UN MURO DE ALAILERIA

6= E,t RIIDE$ OAL E,= &00-, -,*:h%L)F4:h%L)


5/14

4 *.' 14 2.4 142.(4((*2 0.1240&&1 12.40&&12! '.1&(&'!&1' &.0&&'((4 4.(00!!244! *.44412!4' 1.'*4!&2&

& 1.& 14 2.4 21.4(44*2 0.01('&2( 1.('&2'&( 0.!2&((*4** 0.(&((2'4! 0.21('!2 0.&1(&240*2 0.24&(*11*! ' *.' 14 2.4 142.(4((*2 0.1240&&1 12.40&&12! '.1&(&'!&1' &.0&&'((4 4.(00!!244! *.44412!4' 1.'*4!&2& ' 14 2.4 *12.& 0.21*('& 2.1*('&04 1*.410!&2(4! 12.4(1'&*!2( 10.&02(1'1 .&*44'!*24 *.&'1'*'41

# = 11&1.4(!*! 1 100 4!.'*(*4&*1* 4&.!!1!(*(02 *(.002!*0( 2.'2&1'2&1 1*.1!*'*020!CNRO DE RIIDE$

+ri # 6@

+ri # 6

# 6@ # 6

RIIDE$ EN RIIDE$ EN MURO :+,) @ :to3%+, 6@ MURO :+,) 6 :to3%+,) 6

1 &21.2& 1'.0*( (41.&&!!*1 1 &!2.& '1&.*20020' *'4&.1121(4(2 10'.2& *.41(42* *'*.20*!*( 2 4&.& 4!.22*4!4& 224.!4(4*!* *(1.* *.0!''(! 11(0.'*( * 4&.& *!.&!2'1(&( 1(11*.'22!!!&24 *1.* 2.4!&& 10*0.*4002 4 *&2.& *0.441&(&'& 10*0.'&(!41'!& &0 *.0!''(! 2*22.&1'4(4 & *&2.& *!.&!2'1(&( 1*!&'.*!(04((1' 2!2.& 12.!144 *.4'14&! ' .& 4&*.*0'!&*' **!!.(021&20!2 (42.& 12.!144 10((0.*(044 .& 4&*.*0'!&*' **!!.(021&20!2 1 .& *12.& 2*4*.& 1 *00 0.!'&201'&& 2(!.&'04!''4!2 2 2!2.& 142.(4(( 41(*.2(4(( 2 1(0 0.&!120!!* 104.241(!*

* 2!2.& 21.4(4 '2(2.4&**! * &2& 0.241*00414 12'.'(212(4 4 &&.& 142.(4(( !'*(.22'4 4 1(0 0.&!120!!* 104.241(!* & &&.& 21.4(4 11!4.24!4* & &2& 0.241*00414 12'.'(212(4 ' (42.& 142.(4(( 120*&0.14&* ' 1(0 0.&!120!!* 104.241(!* 114.& *12.& *&(&!*.& *00 0.!'&201'&& 2(!.&'04!''4!2

# = 11&1.4(! '4!2'2.0!*! # = 1'(&.4**4' 4*(00.&(*11

+r &'*.(4&& +, +r 2&!.!1&'(& +,&.'*(4&& , 2.&!!1&'(& ,

CALCULANDO EL MOMENO ORSIONAL EN CADA PISOMOMENO ORSOR EN

diBta3+ia total 3 ' a++= 0.* ,

NIEL +, :,) +r :,) @ :,) @1 @2 :to3) Mt1 :to3;,) Mt2 :to3;,)1 *.112(01!! 2.&!!1& 0.&212*414 0.(212*414 0.2212*41 4!.'*(*4&* 4*.2!0*1*41 1*.&0'101&*2 *.112(01!! 2.&!!1& 0.&212*414 0.(212*414 0.2212*41 4&.!!1!(*( 40.110'(!0'(4 12.&1&4!''40** *.112(01!! 2.&!!1& 0.&212*414 0.(212*414 0.2212*41 *(.002!*0( **.&14*1* 10.&*12&&(!014 *.112(01!! 2.&!!1& 0.&212*414 0.(212*414 0.2212*41 2.'2&1'* 24.212&4&4 .&&4(!4'4!& *.1'04&(( 2.&!!1& 0.&'(!0(0* 0.('(!0(0* 0.2'(!0( 1*.1!*'*02 11.4*(24!&' *.&*0'*01441

Mt= = HHF;a+= CM ; CRa++= &G d la di,3Bio3

MOMENO ORSOR EN diBta3+ia total 3 11.*& a++= 0.&'& ,


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6/14

NIEL +, +r 1 2 Mt1 Mt2

1 &.&0(001&2 &.'*(4&& ;0.1*04&*** 0.'!!&***4 ;0.4*04'' 4!.'*(*4&* *4.'44(!20!(& ;21.'!40&00!442 &.&0(001&2 &.'*(4&& ;0.1*04&*** 0.'!!&***4 ;0.4*04'' 4&.!!1!(*( *2.1002'0!24' ;20.100'44&2* &.&0(001&2 &.'*(4&& ;0.1*04&*** 0.'!!&***4 ;0.4*04'' *(.002!*0( 2.010!!(&' ;1'.!1*(*40'4 &.&0(001&2 &.'*(4&& ;0.1*04&*** 0.'!!&***4 ;0.4*04'' 2.'2&1'* 1!.*10&0&4! ;12.1**'1(0*!'& &.&!0*4(&02 &.'*(4&& ;0.04(10'*& 0.'1&'0'*&1 ;0.&1!*!*'& 1*.1!*'*02 (.11*2!!&(* ;'.(4&244&(

CALCULO DEL INCREMENO DE LA 8UER$A CORANE DEIDO AL MOMENO ORSORDIRECCION DIRECCION

E, *2.& ON%+,2 E,

J= i;+r =K=i;+r

PRIMER NIEL to3%+, to3%+,MURO i :+,) i :+,)+r :+,) +r :+,) K :+,) J :+,) 6i 6i@

1 &21.2& &!2.& &'*.(4&4(&4 2&!.!1&'(& ;42.&!&4(&4 **2.&(4*21& '1&.*20020&'&1 1'.0*('4*2 10'.2& 4&.& &'*.(4&4(&4 2&!.!1&'(& ;4&.&!&4(& 1!.&(4*21& 4!.22*4!4&22 *.41(422&2!!* *(1.* 4&.& &'*.(4&4(&4 2&!.!1&'(& ;1(2.&4&4(& 1!.&(4*21& *!.&!2'1(&(2 *.0!''(('444 *1.* *&2.& &'*.(4&4(&4 2&!.!1&'(& ;1!2.&4&4(& !2.&(4*21&4 *0.441&(&'&02 2.4!&4&!'

& &0 *&2.& &'*.(4&4(&4 2&!.!1&'(& 1('.1&4&1& !2.&(4*21&4 *!.&!2'1(&(2 *.0!''(('44' 2!2.& .& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' (42.& .& &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' 1 .& *00 &'*.(4&4(&4 2&!.!1&'(& ;&&'.*4&4(& 40.0(4*21&4 0.!'&201'&&& *12.& 2 2!2.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* * 2!2.& &2& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& 2'&.0(4*21& 0.241*0041*! 21.4(44*202 4 &&.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' ;!.!1&'(& 0.&!120!!** 142.(4((*20!* & &&.& &2& &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' 2'&.0(4*21& 0.241*0041*! 21.4(44*202 ' (42.& 1(0 &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* 114.& *00 &'*.(4&4(&4 2&!.!1&'(& &(*.'&4&1& 40.0(4*21&4 0.!'&201'&&& *12.&

MURO ki%E, ki@%E, Mt1 :to3;+ Mt2 :to3;+,Mt1 :to3;+,)1 1(.!*2!2*1 0.&1'012 &0.2&1( !*'.2*((* *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(2 1.&2!!1(44& 0.10&1(2 410'.2'(4( 22024.4(!12 *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(* 1.21(2*441( 0.0!&2(* *1!.!'1&1 *1&.0!244 *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(4 0.!*'''414 0.0(&*(* *1.(!24'4 *1'&.44' *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(

& 1.21(2*441( 0.0!&2(* (1'.4!('4 **01.((0*1& *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(' 1*.!4!0'2' 0.*!*'' 2&*1.'&42& 2!2&.41(! *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40( 1*.!4!0'2' 0.*!*'' 2&*1.'&42& *0(&4.(122 *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40( 1 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 2!'1&'.22 *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40( 2 0.01(1!10 4.*!&*4! 2(00.!'42 *2*'22.*(11 *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40( * 0.00424'2( 0.''0(' 4'4*!.&'&!' 4('&!.2*404 *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(

1i = t1 :6i%E,)J

∆ 1i@ = t1@ :6i@%E,)K

# ::6i%E,) :J)


7/14

4 0.01(1!10 4.*!&*4! 2(00.!'42 1'.!!&*1' *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(

& 0.00424'2( 0.''0(' 4'4*!.&'&!' 2'.'102!!*( *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40( ' 0.01(1!10 4.*!&*4! 2(00.!'42 *412!1.&*4& *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40( 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 *2&&0&.'! *4'4.4(!21 ;21'!.40&01 4*2!.0*1*40(

*2&0(.*(&1 0&(1&4.&2 *(*2** +,2

MURO Mt2 :to3;+,)1 1*&0.'102 *.'!201 1.1&1!!*2 ;0.010*1*2! 0.00'4&(2(2 1*&0.'102 0.1241 0.0&&*0*&*! ;0.022&(4(2' 0.01414224* 1*&0.'102 0.1411** 0.0440*'' ;0.00(1'1'4! 0.00&110'!4 1*&0.'102 0.0&0(4 0.01&('&4!1 ;0.0014**' 0.004(*0&!& 1*&0.'102 0.0''1*2 0.020'*4(1 0.00(*2*01 ;0.00&211*' 1*&0.'102 ;2.0'42(4 ;0.'4410'2& ;0.0&0&!4(2 0.0*1'(1'* 1*&0.'102 ;2.0'42(4 ;0.'4410'2& 0.0&1!&'&4 ;0.0*2&*&01 1 1*&0.'102 0.000'!( 0.00021!2 ;2.&10142&1 1.&1(2! 2 1*&0.'102 ;0.000(*& ;0.0002'0&* ;0.&&!'*!! 0.*&04*0& * 1*&0.'102 0.0011&4 0.000*'00* ;0.0(414'*&& 0.0&2'!104 4 1*&0.'102 ;0.000(*& ;0.0002'0&* ;0.01*0(*2* 0.00(1!&0' & 1*&0.'102 0.0011&4 0.000*'00* ;0.001!'(& 0.0012*21!

' 1*&0.'102 ;0.000(*& ;0.0002'0&* 0.&414*!* ;0.*&!('&1 1*&0.'102 0.000'!( 0.00021!2 2.'***(!(14 ;1.'4(!(4&1

SEUNDO NIEL to3%+, to3%+,MURO i :+,) i :+,) +r :+,) +r :+,) K :+,) J :+,) 6i 6i@

1 &21.2& &!2.& &'*.(4&4(&4 2&!.!1&'(& ;42.&!&4(&4 **2.&(4*21& '1&.*20020&'&1 1'.0*('4*

2 10'.2& 4&.& &'*.(4&4(&4 2&!.!1&'(& ;4&.&!&4(& 1!.&(4*21& 4!.22*4!4&22 *.41(422&2!!* *(1.* 4&.& &'*.(4&4(&4 2&!.!1&'(& ;1(2.&4&4(& 1!.&(4*21& *!.&!2'1(&(2 *.0!''(('444 *1.* *&2.& &'*.(4&4(&4 2&!.!1&'(& ;1!2.&4&4(& !2.&(4*21&4 *0.441&(&'&02 2.4!&4&!'& &0 *&2.& &'*.(4&4(&4 2&!.!1&'(& 1('.1&4&1& !2.&(4*21&4 *!.&!2'1(&(2 *.0!''(('44' 2!2.& .& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' (42.& .& &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' 1 .& *00 &'*.(4&4(&4 2&!.!1&'(& ;&&'.*4&4(& 40.0(4*21&4 0.!'&201'&&& *12.& 2 2!2.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* * 2!2.& &2& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& 2'&.0(4*21& 0.241*0041*! 21.4(44*202 4 &&.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' ;!.!1&'(& 0.&!120!!** 142.(4((*20!*

& &&.& &2& &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' 2'&.0(4*21& 0.241*0041*! 21.4(44*202 ' (42.& 1(0 &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* 114.& *00 &'*.(4&4(&4 2&!.!1&'(& &(*.'&4&1& 40.0(4*21&4 0.!'&201'&&& *12.&

MURO ki%E, ki@%E, Mt1 :to3;+ Mt2 :to3;+,Mt1 :to3;+,)1 1(.!*2!2*1 0.&1'012 &0.2&1( !*'.2*((* *210.02'0! ;2010.0'44( 4011.0'(!0'(42 1.&2!!1(44& 0.10&1(2 410'.2'(4( 22024.4(!12 *210.02'0! ;2010.0'44( 4011.0'(!0'(4

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =

ki%E,:J)


8/14

* 1.21(2*441( 0.0!&2(* *1!.!'1&1 *1&.0!244 *210.02'0! ;2010.0'44( 4011.0'(!0'(4

4 0.!*'''414 0.0(&*(* *1.(!24'4 *1'&.44' *210.02'0! ;2010.0'44( 4011.0'(!0'(4& 1.21(2*441( 0.0!&2(* (1'.4!('4 **01.((0*1& *210.02'0! ;2010.0'44( 4011.0'(!0'(4' 1*.!4!0'2' 0.*!*'' 2&*1.'&42& 2!2&.41(! *210.02'0! ;2010.0'44( 4011.0'(!0'(4 1*.!4!0'2' 0.*!*'' 2&*1.'&42& *0(&4.(122 *210.02'0! ;2010.0'44( 4011.0'(!0'(4 1 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 2!'1&'.22 *210.02'0! ;2010.0'44( 4011.0'(!0'(4 2 0.01(1!10 4.*!&*4! 2(00.!'42 *2*'22.*(11 *210.02'0! ;2010.0'44( 4011.0'(!0'(4 * 0.00424'2( 0.''0(' 4'4*!.&'&!' 4('&!.2*404 *210.02'0! ;2010.0'44( 4011.0'(!0'(4 4 0.01(1!10 4.*!&*4! 2(00.!'42 1'.!!&*1' *210.02'0! ;2010.0'44( 4011.0'(!0'(4 & 0.00424'2( 0.''0(' 4'4*!.&'&!' 2'.'102!!*( *210.02'0! ;2010.0'44( 4011.0'(!0'(4 ' 0.01(1!10 4.*!&*4! 2(00.!'42 *412!1.&*4& *210.02'0! ;2010.0'44( 4011.0'(!0'(4

0.02!'!(&12 !.'1&*(& 1&44!.&4'4 *2&&0&.'! *210.02'0! ;2010.0'44( 4011.0'(!0'(4*2&0(.*(&1 0&(1&4.&2

*(*2** +,2

MURO Mt2 :to3;+,)1 12&1.&4!''4 *.420(42 1.0'*(4 ;0.00!&&'1! 0.00&!(*!*

2 12&1.&4!''4 0.1'422* 0.0&1241&&2 ;0.020!2&!!4 0.01*10*&1* 12&1.&4!''4 0.1*0' 0.040(02*2 ;0.00&'21(4 0.004*&*14 12&1.&4!''4 0.04112 0.014001( ;0.00142' 0.0044&!& 12&1.&4!''4 0.0'12& 0.01!11!20& 0.0011'!* ;0.004(2(!*' 12&1.&4!''4 ;1.!12''& ;0.&!'!*2 ;0.04'(('(* 0.02!*&4'4 12&1.&4!''4 ;1.!12''& ;0.&!'!*2 0.04(14141! ;0.0*014&*& 1 12&1.&4!''4 0.000'4 0.000201!& ;2.*2&(04&2 1.4&'*!( 2 12&1.&4!''4 ;0.0004 ;0.000241*! ;0.&1(&*4(*( 0.*24'!(1 * 12&1.&4!''4 0.0010'! 0.000***'2' ;0.0!'&(!* 0.04((20!* 4 12&1.&4!''4 ;0.0004 ;0.000241*! ;0.01212'0* 0.00&!*14 & 12&1.&4!''4 0.0010'! 0.000***'2' ;0.001(2*2&* 0.001141'! ' 12&1.&4!''4 ;0.0004 ;0.000241*! 0.&*2&02221 ;0.***44*!' 12&1.&4!''4 0.000'4 0.000201!& 2.4*!!00( ;1.&2('(*2

ERCER NIEL to3%+, to3%+,MURO i :+,) i :+,) +r :+,) +r :+,) K :+,) J :+,) 6i 6i@

1 &21.2& &!2.& &'*.(4&4(&4 2&!.!1&'(& ;42.&!&4(&4 **2.&(4*21& '1&.*20020&'&1 1'.0*('4*2 10'.2& 4&.& &'*.(4&4(&4 2&!.!1&'(& ;4&.&!&4(& 1!.&(4*21& 4!.22*4!4&22 *.41(422&2!!* *(1.* 4&.& &'*.(4&4(&4 2&!.!1&'(& ;1(2.&4&4(& 1!.&(4*21& *!.&!2'1(&(2 *.0!''(('444 *1.* *&2.& &'*.(4&4(&4 2&!.!1&'(& ;1!2.&4&4(& !2.&(4*21&4 *0.441&(&'&02 2.4!&4&!'

& &0 *&2.& &'*.(4&4(&4 2&!.!1&'(& 1('.1&4&1& !2.&(4*21&4 *!.&!2'1(&(2 *.0!''(('44' 2!2.& .& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' (42.& .& &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' 1 .& *00 &'*.(4&4(&4 2&!.!1&'(& ;&&'.*4&4(& 40.0(4*21&4 0.!'&201'&&& *12.& 2 2!2.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* * 2!2.& &2& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& 2'&.0(4*21& 0.241*0041*! 21.4(44*202

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =


316

317318

319

320

321

322

323

324

325

326

327

328

329

330

331

332

333

334

335

336

337

338

339

340

341

342

343

344

345

346

347

348

349

350

351

352

353

354

355

356

357

358

359

360


9/14

4 &&.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' ;!.!1&'(& 0.&!120!!** 142.(4((*20!*

& &&.& &2& &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' 2'&.0(4*21& 0.241*0041*! 21.4(44*202 ' (42.& 1(0 &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* 114.& *00 &'*.(4&4(&4 2&!.!1&'(& &(*.'&4&1& 40.0(4*21&4 0.!'&201'&&& *12.&

MURO ki%E, ki@%E, Mt1 :to3;+ Mt2 :to3;+,Mt1 :to3;+,) Mt2 :to3;+,)

1 1(.!*2!2*1 0.&1'012 &0.2&1( !*'.2*((* 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!0142 1.&2!!1(44& 0.10&1(2 410'.2'(4( 22024.4(!12 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014* 1.21(2*441( 0.0!&2(* *1!.!'1&1 *1&.0!244 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!0144 0.!*'''414 0.0(&*(* *1.(!24'4 *1'&.44' 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014& 1.21(2*441( 0.0!&2(* (1'.4!('4 **01.((0*1& 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014' 1*.!4!0'2' 0.*!*'' 2&*1.'&42& 2!2&.41(! 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 1*.!4!0'2' 0.*!*'' 2&*1.'&42& *0(&4.(122 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 1 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 2!'1&'.22 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 2 0.01(1!10 4.*!&*4! 2(00.!'42 *2*'22.*(11 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 * 0.00424'2( 0.''0(' 4'4*!.&'&!' 4('&!.2*404 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 4 0.01(1!10 4.*!&*4! 2(00.!'42 1'.!!&*1' 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 & 0.00424'2( 0.''0(' 4'4*!.&'&!' 2'.'102!!*( 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 ' 0.01(1!10 4.*!&*4! 2(00.!'42 *412!1.&*4& 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 *2&&0&.'! 201.0!!(' ;1'!1.*(*41 **&.14*1*0* 10&*.12&&(!014

*2&0(.*(&1 0&(1&4.&2 *(*2** +,2

MURO1 2.((4!2*!1 0.(!(1&! ;0.00(0411* 0.00&0*&2212 0.1*(1('4' 0.04*11( ;0.01'0(** 0.01102'041

* 0.1100*4&2& 0.0*4*** ;0.00'*'*2' 0.00*!(4&'44 0.0*!'4*04* 0.012* ;0.00'014&1 0.00*''1(*& 0.0&1&'012* 0.01'0(( 0.00'4(!0' ;0.0040'**41' ;1.'0!42&('2 ;0.&021! ;0.0*!44'41 0.02400'( ;1.'0!42&('2 ;0.&021! 0.040&0(!4( ;0.02&*''02* 1 0.000&441!& 0.0001 ;1.!&0'&21 1.22&4(1*! 2 ;0.000'&0!4 ;0.00020* ;0.4*'*24!2 0.2*21!*4* * 0.000(!!14 0.0002(1 ;0.0'&'04! 0.0410(0*1 4 ;0.000'&0!4 ;0.00020* ;0.01020*& 0.00'*(!*0'

& 0.000(!!14 0.0002(1 ;0.001&*41! 0.000!'0'(4 ' ;0.000'&0!4 ;0.00020* 0.44(0(' ;0.2(0&((4 0.000&441!& 0.0001 2.0&*1*0'12 ;1.2(&'*&!*(

ki%E,:J)


10/14

CUARO NIEL to3%+, to3%+,MURO i :+,) i :+,) +r :+,) +r :+,) K :+,) J :+,) 6i 6i@

1 &21.2& &!2.& &'*.(4&4(&4 2&!.!1&'(& ;42.&!&4(&4 **2.&(4*21& '1&.*20020&'&1 1'.0*('4*2 10'.2& 4&.& &'*.(4&4(&4 2&!.!1&'(& ;4&.&!&4(& 1!.&(4*21& 4!.22*4!4&22 *.41(422&2!!* *(1.* 4&.& &'*.(4&4(&4 2&!.!1&'(& ;1(2.&4&4(& 1!.&(4*21& *!.&!2'1(&(2 *.0!''(('444 *1.* *&2.& &'*.(4&4(&4 2&!.!1&'(& ;1!2.&4&4(& !2.&(4*21&4 *0.441&(&'&02 2.4!&4&!'& &0 *&2.& &'*.(4&4(&4 2&!.!1&'(& 1('.1&4&1& !2.&(4*21&4 *!.&!2'1(&(2 *.0!''(('44' 2!2.& .& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' (42.& .& &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0'

1 .& *00 &'*.(4&4(&4 2&!.!1&'(& ;&&'.*4&4(& 40.0(4*21&4 0.!'&201'&&& *12.& 2 2!2.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* * 2!2.& &2& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& 2'&.0(4*21& 0.241*0041*! 21.4(44*202 4 &&.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' ;!.!1&'(& 0.&!120!!** 142.(4((*20!* & &&.& &2& &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' 2'&.0(4*21& 0.241*0041*! 21.4(44*202 ' (42.& 1(0 &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* 114.& *00 &'*.(4&4(&4 2&!.!1&'(& &(*.'&4&1& 40.0(4*21&4 0.!'&201'&&& *12.&

MURO ki%E, ki@%E, Mt1 :to3;+ Mt2 :to3;+,Mt1 :to3;+,)1 1(.!*2!2*1 0.&1'012 &0.2&1( !*'.2*((* 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(2 1.&2!!1(44& 0.10&1(2 410'.2'(4( 22024.4(!12 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(* 1.21(2*441( 0.0!&2(* *1!.!'1&1 *1&.0!244 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(4 0.!*'''414 0.0(&*(* *1.(!24'4 *1'&.44' 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(& 1.21(2*441( 0.0!&2(* (1'.4!('4 **01.((0*1& 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(' 1*.!4!0'2' 0.*!*'' 2&*1.'&42& 2!2&.41(! 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( 1*.!4!0'2' 0.*!*'' 2&*1.'&42& *0(&4.(122 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( 1 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 2!'1&'.22 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(

2 0.01(1!10 4.*!&*4! 2(00.!'42 *2*'22.*(11 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( * 0.00424'2( 0.''0(' 4'4*!.&'&!' 4('&!.2*404 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( 4 0.01(1!10 4.*!&*4! 2(00.!'42 1'.!!&*1' 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( & 0.00424'2( 0.''0(' 4'4*!.&'&!' 2'.'102!!*( 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( ' 0.01(1!10 4.*!&*4! 2(00.!'42 *412!1.&*4& 1!*.10&1 ;121*.*'1( 2421.2&4&*!!( 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 *2&&0&.'! 1!*.10&1 ;121*.*'1( 2421.2&4&*!!(

*2&0(.*(&1 0&(1&4.&2 *(*2** +,2

MURO Mt2 :to3;+,)1 &&.4(!4'& 2.0'4!'( 0.'44*1!&44 ;0.00&'(&** 0.00*'121'2 &&.4(!4'& 0.0!!1*2 0.0*0!*1'1' ;0.012'*1(*& 0.00!0!(4* &&.4(!4'& 0.0(!*' 0.024'*0044 ;0.004&'4('1 0.002(&(444 &&.4(!4'& 0.02(4*! 0.00((*''! ;0.004*14'' 0.00201(& &&.4(!4'& 0.0*'!(( 0.011&411! 0.004'&&111 ;0.002!14!&

ki%E,:J)


11/14

' &&.4(!4'& ;1.1&4&' ;0.*'02&2'' ;0.02(2!!!! 0.011!*

&&.4(!4'& ;1.1&4&' ;0.*'02&2'' 0.02!0'0241 ;0.01(1!04 1 &&.4(!4'& 0.000*! 0.000121(12 ;1.40*!&'14 0.(!1**( 2 &&.4(!4'& ;0.0004' ;0.00014&1 ;0.*1*010042 0.1!'001'4 * &&.4(!4'& 0.000'4& 0.000201*!1 ;0.040'*&(* 0.02!404* 4 &&.4(!4'& ;0.0004' ;0.00014&1 ;0.00*1!(22 0.004&(*&& & &&.4(!4'& 0.000'4& 0.000201*!1 ;0.001100&!4 0.000'(!1 ' &&.4(!4'& ;0.0004' ;0.00014&1 0.*21441*&( ;0.2012(11( &&.4(!4'& 0.000*! 0.000121(12 1.42(141 ;0.!222(*'

UINO NIEL to3%+, to3%+,MURO i :+,) i :+,) +r :+,) +r :+,) K :+,) J :+,) 6i 6i@

1 &21.2& &!2.& &'*.(4&4(&4 2&!.!1&'(& ;42.&!&4(&4 **2.&(4*21& '1&.*20020&'&1 1'.0*('4*2 10'.2& 4&.& &'*.(4&4(&4 2&!.!1&'(& ;4&.&!&4(& 1!.&(4*21& 4!.22*4!4&22 *.41(422&2!!* *(1.* 4&.& &'*.(4&4(&4 2&!.!1&'(& ;1(2.&4&4(& 1!.&(4*21& *!.&!2'1(&(2 *.0!''(('444 *1.* *&2.& &'*.(4&4(&4 2&!.!1&'(& ;1!2.&4&4(& !2.&(4*21&4 *0.441&(&'&02 2.4!&4&!'& &0 *&2.& &'*.(4&4(&4 2&!.!1&'(& 1('.1&4&1& !2.&(4*21&4 *!.&!2'1(&(2 *.0!''(('44' 2!2.& .& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' (42.& .& &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;2&2.41&'( 4&*.*0'!&*'12* 12.!14*!(1&0' 1 .& *00 &'*.(4&4(&4 2&!.!1&'(& ;&&'.*4&4(& 40.0(4*21&4 0.!'&201'&&& *12.&

2 2!2.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* * 2!2.& &2& &'*.(4&4(&4 2&!.!1&'(& ;21.*4&4(& 2'&.0(4*21& 0.241*0041*! 21.4(44*202 4 &&.& 1(0 &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' ;!.!1&'(& 0.&!120!!** 142.(4((*20!* & &&.& &2& &'*.(4&4(&4 2&!.!1&'(& ;'.*4&4(&*' 2'&.0(4*21& 0.241*0041*! 21.4(44*202 ' (42.& 1(0 &'*.(4&4(&4 2&!.!1&'(& 2(.'&4&1& ;!.!1&'(& 0.&!120!!** 142.(4((*20!* 114.& *00 &'*.(4&4(&4 2&!.!1&'(& &(*.'&4&1& 40.0(4*21&4 0.!'&201'&&& *12.&

MURO ki%E, ki@%E, Mt1 :to3;+ Mt2 :to3;+,Mt1 :to3;+,)1 1(.!*2!2*1 0.&1'012 &0.2&1( !*'.2*((* (11.*2!!&( ;'(4.&24& 114*.(24!&''!2 1.&2!!1(44& 0.10&1(2 410'.2'(4( 22024.4(!12 (11.*2!!&( ;'(4.&24& 114*.(24!&''!* 1.21(2*441( 0.0!&2(* *1!.!'1&1 *1&.0!244 (11.*2!!&( ;'(4.&24& 114*.(24!&''!4 0.!*'''414 0.0(&*(* *1.(!24'4 *1'&.44' (11.*2!!&( ;'(4.&24& 114*.(24!&''!& 1.21(2*441( 0.0!&2(* (1'.4!('4 **01.((0*1& (11.*2!!&( ;'(4.&24& 114*.(24!&''!' 1*.!4!0'2' 0.*!*'' 2&*1.'&42& 2!2&.41(! (11.*2!!&( ;'(4.&24& 114*.(24!&''! 1*.!4!0'2' 0.*!*'' 2&*1.'&42& *0(&4.(122 (11.*2!!&( ;'(4.&24& 114*.(24!&''!

1 0.02!'!(&12 !.'1&*(& 1&44!.&4'4 2!'1&'.22 (11.*2!!&( ;'(4.&24& 114*.(24!&''! 2 0.01(1!10 4.*!&*4! 2(00.!'42 *2*'22.*(11 (11.*2!!&( ;'(4.&24& 114*.(24!&''! * 0.00424'2( 0.''0(' 4'4*!.&'&!' 4('&!.2*404 (11.*2!!&( ;'(4.&24& 114*.(24!&''! 4 0.01(1!10 4.*!&*4! 2(00.!'42 1'.!!&*1' (11.*2!!&( ;'(4.&24& 114*.(24!&''! & 0.00424'2( 0.''0(' 4'4*!.&'&!' 2'.'102!!*( (11.*2!!&( ;'(4.&24& 114*.(24!&''! ' 0.01(1!10 4.*!&*4! 2(00.!'42 *412!1.&*4& (11.*2!!&( ;'(4.&24& 114*.(24!&''!

ki%E,:J)


12/14

0.02!'!(&12 !.'1&*(& 1&44!.&4'4 *2&&0&.'! (11.*2!!&( ;'(4.&24& 114*.(24!&''!

*2&0(.*(&1 0&(1&4.&2 *(*2**+,2MURO Mt2 :to3;+,)

1 *&*.0'*0144 0.!&&11 0.*0110!!&2 ;0.00241&*1' 0.0020*(*2 *&*.0'*0144 0.04'(*1 0.0144&&2 ;0.00&2(!01( 0.0044'24* *&*.0'*0144 0.0*2! 0.011&10*'2 ;0.001!11**2 0.001'12'14 *&*.0'*0144 0.01*4*& 0.00414'!** ;0.001(0'&( 0.001&242*& *&*.0'*0144 0.0144 0.00&*!*&41 0.001!4!121 ;0.001'444!' *&*.0'*0144 ;0.&4&42! ;0.1'(*&'!* ;0.011(4(&2 0.00!!!'* *&*.0'*0144 ;0.&4&42! ;0.1'(*&'!* 0.0121''(2 ;0.0102''

1 *&*.0'*0144 0.0001(4 &.'!2E;00& ;0.&((4410( 0.4!&!0*& 2 *&*.0'*0144 ;0.000221 ;'.(0!'E;00& ;0.1*10&!012 0.110&&(! * *&*.0'*0144 0.000*0& !.411'E;00& ;0.01!0&! 0.01''2&!( 4 *&*.0'*0144 ;0.000221 ;'.(0!'E;00& ;0.00*0'4(4! 0.002&(&(& & *&*.0'*0144 0.000*0& !.411'E;00& ;0.0004'0(2& 0.000*((( ' *&*.0'*0144 ;0.000221 ;'.(0!'E;00& 0.1*4&(!2& ;0.11*&&4*! *&*.0'*0144 0.0001(4 &.'!2E;00& 0.'1''!!2!* ;0.&20*1&(

SENIDO EN 1 a & h=2.4 NIEL 1 NIEL 2

MURO 1 2 * 4 &1 1(.121(*('' 1'.!0(1 14.12(4(24 10.1*&'&(2 4.(11&*2' *.'!201'1 1.1&1!!*1 *.420(41!42 1.0'*(42 1.4'4*'(&2 1.*&'(2 1.1410&!! 0.(1!0*&141 0.*(((0** 0.1241*1& 0.0&&*0*&*!& 0.1'422*124! 0.0&1241&&2* 1.1''04&*4' 1.0(0401 0.!0!110!04 0.'&21'4'2 0.*0!&!21 0.1411*2''' 0.0440*'&' 0.1*0'''1!4 0.040(02*24 0.(!'&*&& 0.(*0'(( 0.'!(!((*0 0.&014*!0'& 0.2*(0400 0.0&0(402' 0.01&('&4!1* 0.04112*'&* 0.014001(& 1.1''04&*4' 1.0(0401 0.!0!110!04 0.'&21'4'2 0.*0!&!21 0.0''1*21*1 0.020'*4(10* 0.0'124!4 0.01!11!20&

' 1*.*&0*(!! 12.*'!(1 10.40(''4 .4''!&0&&& *.&44''4!* ;2.0'42(44! ;0.'4410'2&1 ;1.!12''4!4&& ;0.&!'!*1! 1*.*&0*(!! 12.*'!(1 10.40(''4 .4''!&0&&& *.&44''4!* ;2.0'42(44! ;0.'4410'2&1 ;1.!12''4!4&& ;0.&!'!*1! 1 0.02(42'2* 0.02'**( 0.0221'2' 0.01&(!(!'! 0.00&44' 0.000'!!! 0.00021!1 0.000'4'2! 0.000201!& 2 0.010&&*( 0.01&(0* 0.01*2!&' 0.00!&*!*(1 0.004&2(4( ;0.000(*4!& ;0.0002'0&2&4 ;0.000*'2'( ;0.000241*! * 0.0010'&&( 0.00'&(& 0.00&&40'& 0.00*!442 0.001(('( 0.0011&*!!2 0.000*'00** 0.0010'!2*2! 0.000***'2' 4 0.010&&*( 0.01&(0* 0.01*2!&' 0.00!&*!*(1 0.004&2(4( ;0.000(*4!& ;0.0002'0&2&4 ;0.000*'2'( ;0.000241*! & 0.0010'&&( 0.00'&(& 0.00&&40'& 0.00*!442 0.001(('( 0.0011&*!!2 0.000*'00** 0.0010'!2*2! 0.000***'2' ' 0.010&&*( 0.01&(0* 0.01*2!&' 0.00!&*!*(1 0.004&2(4( ;0.000(*4!& ;0.0002'0&2&4 ;0.000*'2'( ;0.000241*! 0.02(42'2* 0.02'**( 0.0221'2' 0.01&(!(!'! 0.00&44' 0.000'!!! 0.00021!1 0.000'4'2! 0.000201!&

NIEL * NIEL 4 NIEL & 8INALES

MURO 1 2 * 4 &1 2.((4!2*!1 0.(!(1&! 2.0'4!'(0'& 0.'44*1!&44 0.!&&11& 0.*0110!!&2 21.(1*(&&*' 20.211'&04'21 1.00240'* 12.200'2&((4& &.(04(&'&2 0.1*(1('4' 0.04*11( 0.0!!1*21 0.0*0!*1'1' 0.04'(*10* 0.0144&&2 1.'41'1(1''* 1.&2104*02& 1.2!(!242 0.!1(1'*1(2 0.4*&'*(*'2!

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =


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13/14

* 0.1100*4&2& 0.0*4*** 0.0(!*'*(4 0.024'*0044 0.0*2!0** 0.011&10*'2 1.*01(012 1.2111'1&1 1.01!14&42! 0.*1112(4'1 0.*4'((&411

4 0.0*!'4*04* 0.012* 0.02(4*!0' 0.00((*''! 0.01*4*4! 0.00414'!** 0.!4*(4&'4 0.((001'( 0.*('*1*&1 0.&2!((124! 0.2&144!01& 0.0&1&'012* 0.01'0(( 0.0*'!((11& 0.011&411! 0.014*&& 0.00&*!*&41 1.2*214'2 1.141'&*2'* 0.!'0'102 0.'(!1'4&'! 0.*200'0'' ;1.'0!42&('2 ;0.&021! ;1.1&4&'24 ;0.*'02&2'&! ;0.&4&42!0 ;0.1'(*&'!* 1*.*&0*(!!* 12.*'!(0&(2 10.40(''4 .4''!&0&&& *.&44''4!2!2 ;1.'0!42&('2 ;0.&021! ;1.1&4&'24 ;0.*'02&2'&! ;0.&4&42!0 ;0.1'(*&'!* 1*.*&0*(!!* 12.*'!(0&(2 10.40(''4 .4''!&0&&& *.&44''4!2!2 1 0.000&441!& 0.0001 0.000*!0*!4 0.000121(12 0.0001(44* &.'!2E;00& 0.02!124222 0.02'!(&0(*1 0.0220'!& 0.01'2(!*'2' 0.00*1(('( 2 ;0.000'&0!4 ;0.00020* ;0.0004''!! ;0.00014&1* ;0.000220'1 ;'.(0!'E;00& 0.010&&*(2 0.01&(0*0121 0.01*2!&' 0.00!&*!*(12 0.004&2(4'& * 0.000(!!14 0.0002(1 0.000'4&4*& 0.000201*!1 0.000*04!1 !.411'E;00& 0.00(2'0&& 0.00'&*(212 0.00'440*'4 0.004'201* 0.0021!1&2 4 ;0.000'&0!4 ;0.00020* ;0.0004''!! ;0.00014&1* ;0.000220'1 ;'.(0!'E;00& 0.010&&*(2 0.01&(0*0121 0.01*2!&' 0.00!&*!*(12 0.004&2(4'& & 0.000(!!14 0.0002(1 0.000'4&4*& 0.000201*!1 0.000*04!1 !.411'E;00& 0.00(2'0&& 0.00'&*(212 0.00'440*'4 0.004'201* 0.0021!1&2 ' ;0.000'&0!4 ;0.00020* ;0.0004''!! ;0.00014&1* ;0.000220'1 ;'.(0!'E;00& 0.010&&*(2 0.01&(0*0121 0.01*2!&' 0.00!&*!*(12 0.004&2(4'&

0.000&441!& 0.0001 0.000*!0*!4 0.000121(12 0.0001(44* &.'!2E;00& 0.02!124222 0.02'!(&0(*1 0.0220'!& 0.01'2(!*'2' 0.00*1(('(

SENIDO EN 1 a & h=2.4 NIEL 1 NIEL 2

MURO 1 2 * 4 &1 0.22!2!1(& 0.''!(*1 0.&'*'*4002 0.404**((1! 0.1!1!4&24 ;0.010*1** 0.00'4&(2(41 ;0.00!&&'1!'& 0.00&!(*!*2 0.14*&!''' 0.1*'&*' 0.114((!42& 0.0(241!1(4 0.0*!12&&* ;0.022&(4(* 0.0141422*!2 ;0.020!2&!!4* 0.01*10*&0* 0.1**4!0&21 0.12*'(' 0.1040'*0* 0.04''20(4 0.0*&44*1* ;0.00(1'1'& 0.00&110'( ;0.00&'21(4& 0.004*&*1*4 0.11!'21*' 0.110(*& 0.0!*2'*1( 0.0''!04!(4 0.0*1'02 ;0.0014*4 0.004(*0&(& ;0.00142& 0.0044&('& 0.1**4!0&21 0.12*'(' 0.1040'*0* 0.04''20(4 0.0*&44*1* 0.00(*2*01 ;0.00&2112(! 0.0011'!*2 ;0.004(2(!**' 0.&&'04(2 0.&1&(1( 0.4*40*(*1 0.*11*'!!( 0.14(11'& ;0.0&0&!4(2 0.0*1'(1'21 ;0.04'(('(2! 0.02!*&4'4& 0.&&'04(2 0.&1&(1( 0.4*40*(*1 0.*11*'!!( 0.14(11'& 0.0&1!&'&4 ;0.0*2&*&011* 0.04(14141(( ;0.0*014&*4! 1 1*.410!&2( 12.4(1'' 10.&02(1'1 .&*44'!*2 *.&'1'*' ;2.&10142& 1.&1(2(!!&& ;2.*2&(04&1' 1.4&'*!!' 2 '.1&(&'!&2 &.0&&'! 4.(00!!244! *.44412!4' 1.'*4!&2( ;0.&&!'*!( 0.*&04*0&01 ;0.&1(&*4(* 0.*24'!(14 * 0.!2&((*4* 0.(&(( 0.21('!2 0.&1(&240* 0.24&(*11 ;0.0(414'*' 0.0&2'!10*& ;0.0!'&(!** 0.04((20!*4 4 '.1&(&'!&2 &.0&&'! 4.(00!!244! *.44412!4' 1.'*4!&2( ;0.01*0(*2 0.00(1!&0'2* ;0.01212'0*2 0.00&!*144 & 0.!2&((*4* 0.(&(( 0.21('!2 0.&1(&240* 0.24&(*11 ;0.001!'( 0.0012*21!* ;0.001(2*2&2! 0.001141'! ' '.1&(&'!&2 &.0&&'! 4.(00!!244! *.44412!4' 1.'*4!&2( 0.&414*!* ;0.*&!('&0!4 0.&*2&02220 ;0.***44*!&&

1*.410!&2( 12.4(1'' 10.&02(1'1 .&*44'!*2 *.&'1'*' 2.'***(!(14 ;1.'4(!(4&1*& 2.4*!!00!! ;1.&2('(*22NIEL * NIEL 4 NIEL & 8INALES

MURO 1 2 * 4 &1 ;0.00(0411*1 0.00&0*& ;0.00&'(&* 0.00*'121&! ;0.00241&*2 0.0020*(2( 0.2!*(4'!1 0.'&(1420' 0.&'(''!224 0.40!&0!( 0.1!*!(*00*2 ;0.01'0(** 0.01102' ;0.012'*1(* 0.00!0!(4* ;0.00&2(!02 0.0044'2401 0.1'1&01!0&2 0.14!'*!&(( 0.12&!1&4'' 0.0!0*2!02' 0.04*&(!** ;0.00'*'*2&& 0.00*!(& ;0.004&'4(' 0.002(&(44 ;0.001!11** 0.001'12'12 0.1*('0120( 0.12(4210!4& 0.10(0'0('' 0.0&20&2*( 0.0*0&&*(4 ;0.00'014&0' 0.00*'' ;0.004*14'( 0.00201( ;0.001(0'&( 0.001&242* 0.1244&1!'*4 0.11&*110!'' 0.0!02!*'* 0.0'!'0''2* 0.0**2(4!&*& 0.00'4(!0' ;0.0040'* 0.004'&&111 ;0.002!14!&* 0.001!4!12 ;0.001'444! 0.141(1*&*0' 0.1*1*!44 0.110&'&*'* 0.0!*11!&& 0.0**!224'(' ;0.0*!44'41 0.02401 ;0.02(2!( 0.011!*2 ;0.011(4(&* 0.00!!!'2( 0.&((*(!10(( 0.&4&12&42 0.4&(*!411 0.*2!0(!12* 0.1&(0(**! 0.040&0(!4( ;0.02&*'' 0.02!0'0241 ;0.01(1!0*& 0.0121''( ;0.0102'' 0.'0(''&1*' 0.&'*!&!*1'! 0.44&4'! 0.*404*0221* 0.1&!!!*2

1 ;1.!&0'&21* 1.22&4(1 ;1.40*!&'1 0.(!1**!( ;0.&((4411 0.4!&!0*4( 1&.042!242(04 1*.!*(0*1(( 11.2(2'*01 (.41*'01*0& 4.02'('12 2 ;0.4*'*24!1! 0.2*21! ;0.*1*01004 0.1!'001'*' ;0.1*10&!01 0.110&&(( '.&0(2!4001 '.0*02''&!(4 &.04211!2 *.'4012!&(22 1.4&&&11'2( * ;0.0'&'04!'! 0.0410(1 ;0.040'*&( 0.02!4042' ;0.01!0&( 0.01''2&!' 0.!(&44* 0.!0''!!1!! 0.'2!4('&1 0.&4*22(2!4 0.2'24&'(!! 4 ;0.01020*&* 0.00'*(! ;0.00*1!(2 0.004&(*&& ;0.00*0'4(& 0.002&(&(4' '.1''0&2014 &.1*1'1!2' 4.(0*(1&& *.44(114!& 1.'*&'1121( & ;0.001&*41(! 0.000!'1 ;0.001100&! 0.000'(!14 ;0.0004'0(2 0.000*(((0* 0.!211&'*0! 0.(&!01!!&&* 0.22(2('04 0.&1(&41&'! 0.24'220&1' ' 0.44(0(' ;0.2(0&! 0.*21441*&( ;0.2012(11(& 0.1*4&(!2& ;0.11*&&4*! '.*2&1*44( '.2*(01004 &.24!00*2& *.'&&'!*04* 1.'!&'4&2&

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =

∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i = ∆ 1i = ∆ 2i =


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14/14

2.0&*1*0'12 ;1.2(&'*' 1.42(141 ;0.!222(*'2 0.'1''!!2! ;0.&20*1&( 1'.1044(&0!( 14.!21'242 12.&&&!1222 !.00**!*424 4.1!*41&'&'

ALA RESUMENSENIDO EN 1 a & h=2.4

MURO 1 2 * 4 & 7 M1 M2 M* M4 M&1 21.(1*(&&*( 20.211'& 1.00240'* 12.200'2&(( &.(04(' 2.' 444.!'10(!!!2 220.*!'(&0!4 10'.0**10'& 4'.'!&40'' 1&.04'*2'''!2 1.'41'1(1'' 1.&2104* 1.2!(!242 0.!1(1'*1( 0.4*&'*(*' 2.' **.4((&!41&' 1'.&(&42024 .!(02&'4& *.&1!(!41 1.1*2'&!4*&

* 1.*01(012 1.2111' 1.01!14&42! 0.*1112(4' 0.*4'((&4 2.' 2'.'''0((10!! 1*.20(22!!*& '.*&44('2! 2.(02(0100'( 0.!01!0'0'!4 0.!4*(4&' 0.(( 0.*('*1*&1 0.&2!((12& 0.2&144! 2.' 1!.*2&2*&4 !.&*42(('' 4.'0&!44(1 2.0*1&1(041 0.'&*(*4!222& 1.2*214' 1.141'& 0.!'0'102 0.'(!1'4& 0.*200' 2.' 2&.1*(!0044 12.4&12!222& &.!!0*40&24 2.'42211(4 0.(&0*(*!'' 1*.*&0*(!! 12.*'!(1 10.40(''4 .4''!&0&&& *.&44''4!* 2.' 22.*(2(&(2*' 1*4.!1''('2(!' '4.!0((&4! 2(.'*02002&(! !.21'12((1&! 1*.*&0*(!! 12.*'!(1 10.40(''4 .4''!&0&&& *.&44''4!* 2.' 22.*(2(&(2*' 1*4.!1''('2(!' '4.!0((&4! 2(.'*02002&(! !.21'12((1&! 1 0.02!12422 0.02'!(& 0.0220'!& 0.01'2(!*'* 0.00*1(! 2.' 0.&!41!21& 0.2!4*1&1!12 0.141&!&(21 0.0'24&&24(& 0.020102!0& 2 0.010&&*( 0.01&(0* 0.01*2!&' 0.00!&*!*(1 0.004&2(4( 2.' 0.*4!(1!*'2 0.12*'24241 0.0(2!24124 0.0*'&'42!! 0.01140*(( * 0.00(2'0&& 0.00'&4 0.00'440*'4 0.004'201 0.0021!1( 2.' 0.1'(&0'024! 0.0(*4'42'& 0.0401&4'*( 0.01110'' 0.00&'!('1&& 4 0.010&&*( 0.01&(0* 0.01*2!&' 0.00!&*!*(1 0.004&2(4( 2.' 0.*4!(1!*'2 0.12*'24241 0.0(2!24124 0.0*'&'42!! 0.01140*(( & 0.00(2'0&& 0.00'&4 0.00'440*'4 0.004'201 0.0021!1( 2.' 0.1'(&0'024! 0.0(*4'42'& 0.0401&4'*( 0.01110'' 0.00&'!('1&& ' 0.010&&*( 0.01&(0* 0.01*2!&' 0.00!&*!*(1 0.004&2(4( 2.' 0.*4!(1!*'2 0.12*'24241 0.0(2!24124 0.0*'&'42!! 0.01140*(( 0.02!12422 0.02'!(& 0.0220'!& 0.01'2(!*'* 0.00*1(! 2.' 0.&!41!21& 0.2!4*1&1!12 0.141&!&(21 0.0'24&&24(& 0.020102!0&

&*.'(!0(* 4!.(1!'4 41.!210!2 *0.0*2(0( 14.20((* 10!'.!1'4(124! &4*.*241(!*41 2'1.*!*!!21 11&.2!4(4222 *.1042!&(0!

SENIDO EN 1 a & h=2.4

MURO 1 2 * 4 & 7 M1 M2 M* M4 M&1 0.2!*(4'! 0.'&(1& 0.&'(''!224 0.40!&0!( 0.1!*!(*0 2.' 14.(((14*'(! .*442214 *.&4!244! 1.&'&02(&2&' 0.&04*&&!(2(2 0.1'1&01!0& 0.14!'4 0.12&!1&4'' 0.0!0*2!02 0.04*&(!* 2.' *.*0!!&1 1.'*!4'(!!&2 0.(((!2!1 0.*4(1(40(4 0.11**2('1(* 0.1*('0120! 0.12(421 0.10(0'0('' 0.0&20&24 0.0*0&&4 2.' 2.(**142(&4 1.40***!4!4* 0.'&2014& 0.2!(!(2( 0.0!'*44!1(2

4 0.1244&1!'* 0.11&*11 0.0!02!*'* 0.0'!'0''2 0.0**2(4!& 2.' 2.&441*!!42 1.2'020*(02 0.'0'**&'(1 0.2'&1(4&!! 0.0('&40(!& 0.141(1*&*1 0.1*1*! 0.110&'&*'* 0.0!*11!' 0.0**!22& 2.' 2.((!4'0'4 1.4*04*21'11 0.'((1*4**& 0.*0*444&4!! 0.0!21!(41'' 0.&((*(!10! 0.&4&1* 0.4&(*!411 0.*2!0(!12 0.1&(0(* 2.' 12.0*'&241*& &.!'2'44'0! 2.('(!&!2'4 1.2'&!*&0241 0.410*0121 0.'0(''&1*' 0.&'*!&! 0.44&4'! 0.*404*0221 0.1&!!!** 2.' 12.*(4&1&(0(( '.1*4140**!' 2.!&0(*&04 1.*010'4(2&& 0.41&!4'2&02 1 1&.042!242( 1*.!*(04 11.2(2'*01 (.41*'01*1 4.02'('1 2.' *0(.&&0(0!0&&1 1&2.(*!0&1*0(4 *.&4'(1!22 *2.4'4*4!!&0& 10.&((!(&4&12 2 '.&0(2!4002 '.0*02' &.04211!2 *.'4012!&(2 1.4&&&11' 2.' 1**.1&0!01!2 '&.!&404!*&4 *1.*41&*'2 14.002'!!*'! 4.&*(4**02** * 0.!(&44* 0.!0''!! 0.'2!4('&1 0.&4*22(2! 0.2'24&'! 2.' 20.020*21!0!4 !.!1'2*0!(' 4.14(&(* 2.10&42!*&02 0.'(2*(!!!*! 4 '.1''0&2014 &.1*1'2 4.(0*(1&& *.44(114!' 1.'*&'112 2.' 12&.(122122'21 '2.*1*4!01( 2!.!(11'02( 1*.224*0((0&& 4.2&'&(!1' & 0.!211&'*1 0.(&!02 0.22(2('04 0.&1(&41& 0.24'220&2 2.' 1(.!1'((0410* !.*'!!1&(2'( 4.&0!0!1& 1.!((*(144*2 0.'401**4** ' '.*2&1*4& '.2*(01 &.24!00*2& *.'&&'!*04 1.'!&'4&* 2.' 1*'.!('!('!'4 '.(&0!!(!0'1 *2.'*!!(& 14.*!1*4!&(1 4.'00('''!

1'.1044(&1 14.!21'* 12.&&&!1222 !.00**!*42 4.1!*41&'' 2.' *2'.(&(01102 1'1.(!12!0'221 .(021&4( *4.*21!'*0001 10.!02((00!(&4.!&2(21 &0.!1'' 42.(4414*2 *0.*&4'02( 14.&!0&4! 1121.1(22'2!&4 &&&.*440*&*1( 2'.1(2&* 11.(4'241! *.!*&424'&


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analisis edificio de albañileria de 5 niveles t.1

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