diseño en albañileriafrida

8/16/2019 Diseño en AlbañileriaFRIDA

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Diseño sismico en albañileriaParamemetros de diseñoResis compresion de la albañileria 210 kg/cm2Modulo de elasticidad de la albañileria 218819.789 g/cm2

Muro !muro"cm# altura "cm# e"cm# R"tn/cm# $ Muro"%#1% &80 2&0 20 2188.198 02% '0' 2&0 10 1179.''8 ('0(% 290 2&0 10 &)0.)72 &)0&% 1200 2&0 20 )92&.)77 )'0'% 290 2&0 10 &)0.)72 8&0)% '0' 2&0 10 1179.''8 9'07% &80 2&0 20 2188.198 1(00

*umatoria 1 1&'81.'(2$entro de rigideces en "+ cm# )'0.000$entro de rigideces en "+ m# ).'

Muro !muro"cm# altura "cm# e"cm# R"tn/cm# $ Muro"+#1% 920 2&0 20 '12).8)& 0.002% 890 2&0 10 2&)'.780 (10.00(% )00 2&0 10 1'02.88( &&0.00&% '10 2&0 10 119).)&0 10(7.'0'% )00 2&0 10 1'02.88( 1202.'0)% 1100 2&0 20 )287.111 1&22.'07% 1100 2&0 20 )287.111 1&80.008% )00 2&0 10 1'02.88( 17''.009% '10 2(0 10 1272.((' 20(0.0010% )00 2(0 10 1'91.0'2 22)0.0011% 890 2(0 10 2'91.)79 2(90.0012% 920 2(0 10 2)9(.1)7 2700.00

(&020.(88$entro de rigide, en % cm 1(22.871$entro de rigide, en % m 1(.229


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r-$"%#0 0.1'0

&128&'.1(7'() 0.081211909.2(2971 0.0(2&'010(9.9)088 0.&7'(8)9)&.)8)29& 0.0(21120'79.)'90( 0.08128&&)'7.2''28 0.1'09&7799'.9(199

r-$"%#

0.00 0.1'07 0.&&0217(9 0.0))(&0)'7)&(91.79 0.072'))12)8.'9 0.0&&2

12&1'1&.28 0.0('21807217.01 0.0&&289&(&1&.7) 0.18&89(0&92(.)2 0.18&82)(7''9.9) 0.0&&22'828(9.'9 0.0(7&('9'778.(& 0.0&)8)19&11(.9( 0.07)27271'&9.91 0.0792

&'00&'71.78


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$alculo dinamico de recuencias + periodosmodelo cortante de un portico plano de ( ni eles

ra edad 9.80 m/seg2peso 1er ni el 98.00 tnpeso del 2do ni el 98.00 tnpseo del (er ni el 8&.00 tnMasa 1er ni el M1 10.00 tn-seg2/mMasa del 2do ni el M2 10.00 tn-seg2/mMasa del (er ni el M( 8.'7 tn-seg2/mRigide, 1er ni el 1 1)9'00.00 n/mRigide, 2do ni el 2 1)9'00.00 n/mRigide, ( er ni el ( 1)9'00.00 n/mParametros de la ecuacion cubica completa

38'7.1&4 7.'0)&(5607$ 31.)0075612D &.8)98561'5cuacion cubica sin termino cuadratico

3&.'92)5611 signo de RP 32.29))5608D 26P( 31.190(562'R 1'1'&.)9R 31'1'&.)9

/r( 0.1( rc cos " /r(# 1.&& Radianes

82.&2 *e%agesimal1 2)891.&'2 32'''&.87( 31(().'8 :recuencia * Periodo *eg

;1


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i(1 1.00i2( 0.()i(( 30.87

0.00


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5D>:>$ $>?@ amilia iriguren$alculo dinamico de recuencias A periodos ; :?RM * D5 M?D?modelo cortante de un portico plano de ( ni eleseBe %3%

ra edad 9.80 m/seg2 800peso 1er ni el 22&.72 tnpeso del 2do ni el 1&0.80 tnpeso del (er ni el 27.1' tnpeso total (92.)7Masa 1er ni el M1 22.9( tn-seg2/mMasa del 2do ni el M2 1&.(7 tn-seg2/mMasa del (er ni el M( 2.77 tn-seg2/mRigide, 1er ni el 1 '72&9.00 n/mRigide, 2do ni el 2 '72&9.00 n/mRigide, ( er ni el ( 17900.00 n/mParametros de la ecuacion cubica completa M R> D5 R> >D5 D>@ M>$

3912.72 11&&98.00 3'72&9.00 04 1.'228)5607 3'72&9.00 7'1&9.00 317900.00$ 3).77025610 0 3'72&9.00 17900.00D '.8)))561( M R> D5 M * *5cuacion cubica sin termino cuadratico 22.9( 0.00 0.00 1.00

2.10185609 signo de R 0.00 1&.(7 0.00 1.00P 3).20)(560) 0.00 0.00 2.77 1.00D 26P( 32.(&)&5620 M%1 22.9(

R 2&91.2& 1&.(7R 32&91.2& 2.77

/r( 30.1& rc cos " /r(# 1.71 Radianes

97.81 *e%agesimal1 &197.(12 3&&2(.70( 22).(9 = Periodo *eg :R5$ 2P>/<

;1


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matri, de rigides 3 R @*P 5* D5 :?RM * D5 M?D? " i #1.0000 1.'&&2 1.87&(1.0000 30.(18( 3(.0''81.0000 31.9089 (.7(99

!- '0.(099.891'.8))

i % M22.9(0) 22.18)2 '.192)


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22.9(0) 3&.'7(8 38.&)'922.9(0) 327.&2'( 10.()10

M- i % M % i)).92( 0.000 0.0000.000 '0.2'7 0.0000.000 0.000 11&.0(1

:PM1 !-/M- 0.7'17':PM2 !-/M- 0.19)81:PM( !-/M- 0.0'1&&$alculo de la celeracion de diseño

0.&00 ,ona (1.000 i ienda

$E 2.' 2.'00 8.0'(2* 1.200 suelo intermedioR (.000* $*/R 0.400$/RF .12' 0.8((

celeracion de gra edad 980.000 cm/seg2 celeracion de diseño (92.000 cm/seg2G1 0.2'9 cmG2 0.&00 cmG( 0.&8' cmG1ma% 0.'8( cm

G2 ma% 0.900 cmG(ma% 1.092 cmDeri a 1 0.583 cmderi a2 0.317 cmderi a( 0.192 cmMa%imo alor de deri a 1.250 cm

Calculo de fuerzas sismicas por piso

$ortante basal 157.068 npeso" n# altura"m# Peso- ltura :i" n# Hi" n#

ercer ni el 27.1'0 7.'00 20(.)2' 21.766 21.766


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*egundo ni el 1&0.800 '.000 70&.000 75.251 97.017Primer ni el 22&.720 2.'00 ')1.800 60.051 157.068 *umatoria 1&)9.&2'

$ !$ !? D5 : 5R *

:PM1 0.7'17':PM2 0.19)81 : 4*?! ? 55*:PM( 0.0'1&& 70.00( )0.0'1g 9.8 m/seg2 )'.708 7'.2'1

g (.92 m/seg2 1).7)8 21.7)):1 Ø*M :i 1'2.&79 1'7.0)8

22.9(0)122 67.573122.18)17&7 65.3793'.192)11&2 15.3018

:2 22.9(0)122 17.)90)&)&73&.'7(827 3(.'28)&('(

38.&)'8)08 3).'(129(18:( 22.9(0)122 &.)2&27022'

327.&2'(&2 3'.'(0)9()10.()10(7( 2.089&&&2'7

Fi=FPMi ∗ag∗Ø∗M


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7


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$ !$ !? D5 $?R @ 5 D>R5$ ? D5 D>*5 ? P?R M R? 5@primer piso Hs moder 72.0( Hs se ero 1&&.0) n

longitud espesor altura area m 5m % %cm cm cm cm2 kg/cm2 g/cm2 g/cm n/cm

%1 180 1( 2'0 2(&0 )' (2'00 28(87.(( 28.(9%2 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%( (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28

%& (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%' (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%) 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%7 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('%8 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%9 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%10 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%11 (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%12 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%1( 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%1& 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('suma &088' 770.9)89primer piso Hs moder 72.0( Hs se ero 1&&.0) n

longitud espesor altura area m 5m + +cm cm cm cm2 kg/cm2 g/cm2 g/cm n/cm

+1 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+2 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+& (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+' (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+) (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+7 &10 1( 2&0 '((0 )' (2'00 1)'1&1.80 1)'.1&+8 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2

+9 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+10 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+11 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+12 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+1( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11

'1090 12'9701.&& 12'9.70 P 122.&

0.0&17&02 D5@*>D D D5 M R?*0.& 1 * 1 @ & 0.01(072

2D? P>*? Hs moder )(.8( Hs se ero 127.)) nlongitud espesor altura area m 5m % %cm cm cm cm2 kg/cm2 g/cm2 g/cm n/cm

%1 180 1( 2'0 2(&0 )' (2'00 28(87.(( 28.(9%2 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%( (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%& (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%' (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%) 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%7 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('%8 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%9 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%10 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%11 (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%12 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%1( 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%1& 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('

&088' 770 9)89


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2D? P>*? Hs moder )(.8( Hs se ero 127.)) nlongitud espesor altura area m 5m + +cm cm cm cm2 kg/cm2 g/cm2 g/cm n/cm

+1 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+2 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+& (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11

+' (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+) (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+7 &10 1( 2&0 '((0 )' (2'00 1)'1&1.80 1)'.1&+8 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+9 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+10 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+11 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+12 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+1( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11

'1090 12'9701.&& 12'9.70

(5R P>*? Hs moder &7.&' Hs se ero 9&.9 nlongitud espesor altura area m 5m % %cm cm cm cm2 kg/cm2 g/cm2 g/cm n/cm

%1 180 1( 2'0 2(&0 )' (2'00 28(87.(( 28.(9%2 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%( (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%& (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%' (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%) 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%7 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('%8 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28

%9 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%10 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%11 (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%12 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%1( 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%1& 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('suma &088' 770.9)89(5R P>*? Hs moder &7.&' Hs se ero 9&.9 n


+1 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+2 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2

+( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+& (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+' (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+) (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+7 &10 1( 2&0 '((0 )' (2'00 1)'1&1.80 1)'.1&+8 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+9 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+10 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+11 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+12 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+1( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11

'1090 12'9701.&& 12'9.70

&t i *? H d 22 88 H &' 7)


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longitud espesor altura area m 5m % %cm cm cm cm2 kg/cm2 g/cm2 g/cm n/cm

%1 180 1( 2'0 2(&0 )' (2'00 28(87.(( 28.(9%2 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%( (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%& (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%' (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28

%) 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%7 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('%8 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%9 100 1( 2'0 1(00 )' (2'00 )0('.71 ).0&%10 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%11 (10 1( 2'0 &0(0 )' (2'00 9('29.2& 9(.'(%12 (1( 1( 2'0 &0)9 )' (2'00 9'278.'( 9'.28%1( 1)0 1( 2'0 2080 )' (2'00 21181.88 21.18%1& 1(0 1( 2'0 1)90 )' (2'00 12(&7.)2 12.('suma &088' 770.9)89&R P>*? Hs moder 22.88 Hs se ero &'.7) n


+1 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+2 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+& (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+' (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+) (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+7 &10 1( 2&0 '((0 )' (2'00 1)'1&1.80 1)'.1&+8 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+9 2)0 1( 2&0 ((80 )' (2'00 71&2&.&8 71.&2+10 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11

+11 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+12 (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11+1( (10 1( 2&0 &0(0 )' (2'00 101107.72 101.11

'1090 12'9701.&& 12'9.70


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G3G ;3;

Hdis mod Hdisse ero

0.0()8 2.)'22 '.(0&(0.0078 0.')(9 1.12780.12() 8.9017 17.80((

0.121( 8.7(82 17.&7)'0.12() 8.9017 17.80((0.027' 1.9790 (.9'800.01)0 1.1'() 2.(0720.12() 8.9017 17.80((0.0078 0.')(9 1.12780.12() 8.9017 17.80((0.121( 8.7(82 17.&7)'0.12() 8.9017 17.80((0.027' 1.9790 (.9'800.01)0 1.1'() 2.(072

Hdis mod Hdisse ero

0.0')7 &.08&1 8.1)810.0')7 &.08&1 8.1)810.080( '.781& 11.')270.080( '.781& 11.')270.080( '.781& 11.')270.080( '.781& 11.')270.1(11 9.&&28 18.88'70.0')7 &.08&1 8.1)81

0.0')7 &.08&1 8.1)810.080( '.781& 11.')270.080( '.781& 11.')270.080( '.781& 11.')270.080( '.781& 11.')27

D5@* M>@ M R?*

Hdis mod Hdisse ero

0.0()8 2.('02 &.700'0.0078 0.&997 0.999&0.12() 7.888( 1'.77))0.121( 7.7&(' 1'.&8)90.12() 7.888( 1'.77))0.027' 1.7'(7 (.'07&0.01)0 1.022( 2.0&&)0.12() 7.888( 1'.77))0.0078 0.&997 0.999&0.12() 7.888( 1'.77))0.121( 7.7&(' 1'.&8)90.12() 7.888( 1'.77))0.027' 1.7'(7 (.'07&0.01)0 1.022( 2.0&&)

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Hdis mod Hdisse ero

0.0')7 (.)191 7.2(8(0.0')7 (.)191 7.2(8(0.080( '.12(2 10.2&)&0.080( '.12(2 10.2&)&

0.080( '.12(2 10.2&)&0.080( '.12(2 10.2&)&0.1(11 8.()79 1).7('70.0')7 (.)191 7.2(8(0.0')7 (.)191 7.2(8(0.080( '.12(2 10.2&)&0.080( '.12(2 10.2&)&0.080( '.12(2 10.2&)&0.080( '.12(2 10.2&)&

Hdis mod Hdisse ero

0.0()8 1.7&71 (.&9&20.0078 0.(71' 0.7&290.12() '.8)&0 11.72800.121( '.7')( 11.'1270.12() '.8)&0 11.72800.027' 1.(0(7 2.)07(0.01)0 0.7'99 1.'1990.12() '.8)&0 11.7280

0.0078 0.(71' 0.7&290.12() '.8)&0 11.72800.121( '.7')( 11.'1270.12() '.8)&0 11.72800.027' 1.(0(7 2.)07(0.01)0 0.7'99 1.'199

Hdis mod Hdisse ero

0.0')7 2.)90& '.(8080.0')7 2.)90& '.(808

0.080( (.808' 7.)1700.080( (.808' 7.)1700.080( (.808' 7.)1700.080( (.808' 7.)1700.1(11 ).220' 12.&&100.0')7 2.)90& '.(8080.0')7 2.)90& '.(8080.080( (.808' 7.)1700.080( (.808' 7.)1700.080( (.808' 7.)1700.080( (.808' 7.)170

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Hdis mod Hdisse ero

0.0()8 0.8&2& 1.)8&90.0078 0.1791 0.('820.12() 2.827) '.)''20.121( 2.77'7 '.''1(0.12() 2.827) '.)''2

0.027' 0.)28) 1.2'720.01)0 0.())& 0.7(290.12() 2.827) '.)''20.0078 0.1791 0.('820.12() 2.827) '.)''20.121( 2.77'7 '.''1(0.12() 2.827) '.)''20.027' 0.)28) 1.2'720.01)0 0.())& 1.'199

Hdis mod Hdisse ero

0.0')7 1.297( 2.'9&)0.0')7 1.297( 2.'9&)0.080( 1.8()& (.)7280.080( 1.8()& (.)7280.080( 1.8()& (.)7280.080( 1.8()& (.)7280.1(11 2.999' '.99900.0')7 1.297( 2.'9&)0.0')7 1.297( 2.'9&)0.080( 1.8()& (.)728

0.080( 1.8()& (.)7280.080( 1.8()& (.)7280.080( 1.8()& (.)728

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$ !$ !? D5 $M 4 R5 Gi ;i R5 -Gi R5 -;i

1).) 8 1(2.8 8.( & 1102.2& '(1.22.) & 310.& 8.( 2 38).(2 320.8

122.& 101'.92 '10.&G 8.( ; &.1)99(&)&

$ !$ !? D5 $R$5@ R? D5 R> >D5 5@ G3G+ Gi +-Gi % ;i

+1 71.&2 1).) 118'.)' G1 28.(9 0+2 71.&2 1).) 118'.)' G2 ).0& 0+( 101.11 1(.) 1(7'.0) G( 9'.28 &+& 101.11 1(.) 1(7'.0) G& 9(.'( &.9+' 101.11 9.) 970.)( G' 9'.28 8+) 101.11 9.) 970.)( G) 21.18 8+7 1)'.1& 8.) 1&20.22 G7 12.(' &+8 71.&2 0 0.00 G8 9'.28 0+9 71.&2 0 0.00 G9 ).0& 0

+10 101.11 ( (0(.(2 G10 9'.28 &+11 101.11 ( (0(.(2 G11 9(.'( &.9+12 101.11 7 707.7' G12 9'.28 8+1( 101.11 7 707.7' G1( 21.18 8* M 12'9.70 10'0'.0) G1& 12.(' &* M 770.97

$R% 8.((9 $R+ &.72(

$ !$ !? D5 $5@ R? D5 $?R @ 5 sismo se eroJ:sK%-;cgK $H i+

@>H5! & &'.7) &.1)99 190.81&)2& 190.81&)2& &'.7) &.1)99@>H5! ( &9.1& &.1)99 20&.90888) (9'.72('1 9&.9 &.1)99

@>H5! 2 (2.7) &.1)99 1().)0'92& '(2.(29&(& 127.)) &.1)99@>H5! 1 1).& &.1)99 )8.(8)() )00.71'79& 1&&.0) &.1)99

J:sK+-GcgK $H i%@>H5! & &'.7) 8.( (79.808 (79.808 &'.7) 8.(@>H5! ( &9.1& 8.( &07.8)2 787.)7 9&.9 8.(@>H5! 2 (2.7) 8.( 271.908 10'9.'78 127.)) 8.(@>H5! 1 1).& 8.( 1().12 119'.)98 1&&.0) 8.(

$ !$ !? D5 $5@ R? D5 $?R @ 5 *>*M? M?D5R D?

J:sK%-;cgK $H i+@>H5! & 22.88 &.1)99 9'.&07(12 9'.&07(12 22.88 &.1)99@>H5! ( &9.1&72 &.1)99 20&.9(8909 (00.(&)221 72.0272 &.1)99@>H5! 2 (2.7)72 &.1)99 1().)('9&7 &().9821)9 10&.79&& &.1)99@>H5! 1 1).&72 &.1)99 )8.)8)'928 '0'.))87)1 121.2))& &.1)99

J:sK+-GcgK $H i%@>H5! & &'.7) 8.( (79.808 (79.808 &'.7) 8.(@>H5! ( &9.1& 8.( &07.8)2 787.)7 9&.9 8.(

@>H5!α :s α % se ero ; cgα :s αx* Ycgα ∑ :s α %

@>H5!α :s αy se ero G cgα :s αy* Xcgα ∑ :s αy

@>H5!α :s α % se ero ; cgα :s αx* Ycgα ∑ :s α %

@>H5!α :s αy se ero G cgα :s αy* Xcgα ∑ :s αy


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@>H5! 2 (2.7) 8.( 271.908 10'9.'78 127.)) 8.(@>H5! 1 1).& 8.( 1().12 119'.)98 1&&.0) 8.(


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%-;i00

(81.11&&'8.29(7)2.2281)9.&''&9.(900.0000.000

(81.11&&'8.29(7)2.2281)9.&''&9.(90

()&0.9)(


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$?R @ 5 $?@ ?R*>?@ P?R M R?

$RG m 8.((9(2879 $R;m &.722'801(+ %i $R% DG DG2 +-DG2 Hdmoderado

+1 71.&2 1).) 8.((9(2879 8.2)0)7121 )8.2(8)888 &87(.912)& &.08&0))98+2 71.&2 1).) 8.((9(2879 8.2)0)7121 )8.2(8)888 &87(.912)& &.08&0))98+( 101.11 1(.) 8.((9(2879 '.2)0)7121 27.)7&))1' 2798.1218' '.781()107

+& 101.11 1(.) 8.((9(2879 '.2)0)7121 27.)7&))1' 2798.1218' '.781()107+' 101.11 9.) 8.((9(2879 1.2)0)7121 1.'8929189 1)0.)89)7' '.781()107+) 101.11 9.) 8.((9(2879 1.2)0)7121 1.'8929189 1)0.)89)7' '.781()107+7 1)'.1& 8.) 8.((9(2879 0.2)0)7121 0.0)79&9&8 11.2212987 9.&&28&(&7+8 71.&2 0 8.((9(2879 38.((9(2879 )9.'&&&0&7 &9)7.17272 &.08&0))98+9 71.&2 0 8.((9(2879 38.((9(2879 )9.'&&&0&7 &9)7.17272 &.08&0))98+10 101.11 ( 8.((9(2879 3'.((9(2879 28.'08&(2 2882.&22&8 '.781()107+11 101.11 ( 8.((9(2879 3'.((9(2879 28.'08&(2 2882.&22&8 '.781()107+12 101.11 7 8.((9(2879 31.((9(2879 1.79(801)2 181.()7187 '.781()107+1( 101.11 7 8.((9(2879 31.((9(2879 1.79(801)2 181.()7187 '.781()107suma 12'9.70 0 (17(8.'9&&

% ;i $R; D+ D+2 %-D+2G1 28.(9 0 &.722'801( 3&.722'801( 22.(027)(1 )((.11'8(&G2 ).0& 0 &.722'801( 3&.722'801( 22.(027)(1 1(&.)1(10)G( 9'.28 & &.722'801( 30.722'801( 0.'221220' &9.7&702(7G& 9(.'( &.9 &.722'801( 0.177&1987 0.0(1&7781 2.9&&09''8G' 9'.28 8 &.722'801( (.277&1987 10.7&1&81 102(.&(2'7G) 21.18 8 &.722'801( (.277&1987 10.7&1&81 227.'2&81&G7 12.(' & &.722'801( 30.722'801( 0.'221220' ).&&)9)'81G8 9'.28 0 &.722'801( 3&.722'801( 22.(027)(1 212&.97&'9G9 ).0& 0 &.722'801( 3&.722'801( 22.(027)(1 1(&.)1(10)G10 9'.28 & &.722'801( 30.722'801( 0.'221220' &9.7&702(7G11 9(.'( &.9 &.722'801( 0.177&1987 0.0(1&7781 2.9&&09''8

G12 9'.28 8 &.722'801( (.277&1987 10.7&1&81 102(.&(2'7G1( 21.18 8 &.722'801( (.277&1987 10.7&1&81 227.'2&81&G1& 12.(' & &.722'801( 30.722'801( 0.'221220' ).&&)9)'81* M 770.97 ')&7.'07'7

L (7(8).10e% 0.0& me+ 0.''e+acciden 0.&0e%accidental 0.8( mαx 1.00 0.0279))(( Giαy 1.00 0.011(972) ;i


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Ki Kicorreg Htotalmoder Hse ero Ht se ero1.2(1020)9 '.027) 8.1)81 10.0''11.2(1020)9 '.027) 8.1)81 10.0''11.1&7121)9 ).)(19 11.')27 1(.2)(8

1.1&7121)9 ).)(19 11.')27 1(.2)(81.0('2')(' '.98'2 11.')27 11.970&1.0('2')(' '.98'2 11.')27 11.970&1.00729002 9.'117 18.88'7 19.02(&0.7))779'' 1 0.7))8 8.1)81 8.1)810.7))779'' 1 0.7))8 8.1)81 8.1)810.8'0)78'' 1 0.8'07 11.')27 11.')270.8'0)78'' 1 0.8'07 11.')27 11.')270.9)2'&(88 1 0.9)2' 11.')27 11.')270.9)2'&(88 1 0.9)2' 11.')27 11.')27


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Informe de compatibilidad para dise o en !lba ileria."ls#$ecutar el 19%04%2008 19&46

'(rdida menor de fidelidad )* de apariciones

1)

!as siguientes caracter sticas de este libro no son compatibles con ersionesanteriores de 5%cel. 5stas caracter sticas podr an perderse o degradarse siguarda el libro con un ormato de arcNi o anterior.

lgunas celdas o estilos de este libro contienen un ormato no admitido en elormato de arcNi o seleccionado. 5stos ormatos se con ertirOn al ormato mOs

cercano disponible.


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5D>:>$ $>?@ M ! >: M>!> R D5 @5* ?R M45R ? M? P?R ?$ RR5R?$alculo dinamico de recuencias A periodos ; :?RM * D5 M?D?modelo cortante de un portico plano de ( ni eleseBe +3+

ra edad 9.80 m/seg2peso 1er ni el &0.'7 tnpeso del 2do ni el &0.'7 tnpeso del (er ni el (1.0( tnpeso total 112.17Masa 1er ni el M1 &.1& tn-seg2/m

Masa del 2do ni el M2 &.1& tn-seg2/mMasa del (er ni el M( (.17 tn-seg2/mRigide, 1er ni el 1 )7'00.00 n/mRigide, 2do ni el 2 )7'00.00 n/mRigide, ( er ni el ( )7'00.00 n/mParametros de la ecuacion cubica completa M R> D5 R> >D5 D>@ M>$

3'&.2) 1('000.00 3)7'00.00 04 &.)9'9'560) 3)7'00.00 1('000.00 3)7'00.00$ 39.98))5610 0 3)7'00.00 )7'00.00D (.07''561& M R> D5 M * *5cuacion cubica sin termino cuadratico &.1& 0.00 0.00 1.00

32.9(195611 signo de R 0.00 &.1& 0.00 1.00P 32.18)'5608 0.00 0.00 (.17 1.00D 26P( 31.0()8562' M%1 &.1&R 1&78).90 &.1&R 31&78).90 (.17

/r( 0.09 rc cos " /r(# 1.&8 Radianes

8&.80 *e%agesimal1 2)0&7.&'2 32'1'2.&1( 389'.0( = Periodo *eg :R5$ 2P>/<

;1


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0.00 3)7'00.00 310)(11.(0 i(1 0.0000

i11 1.00i21 31.(7i(1 0.87

0.00 " 3 R @*P 5* D5 :?RM * D5 M?D? " i #1.0000 1.77(' 2.1&'21.0000 0.28'7 30.918&1.0000 31.())) 0.8)77

!- 18.27&2.&1'1.2(0

i % M&.1(98 7.(&18 ).7922&.1(98 1.1829 32.9078&.1(98 3'.)'7) 2.7&7'


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M- i % M % i(1.7(0 0.000 0.0000.000 7.1&8 0.0000.000 0.000 1&.2')

:PM1 !-/M- 0.'7'91:PM2 !-/M- 0.((78&:PM( !-/M- 0.08)2)

$alculo de la celeracion de diseño 0.&00 ,ona (1.000 i ienda

$E 2.' 2.'00 1&.'09&* 1.200 suelo intermedioR ).000 diseño por es uer,os admisibles* $*/R 0.200$/RF .12' 0.&17

celeracion de gra edad 980.000 cm/seg2 celeracion de diseño 19).000 cm/seg2G1 0.0(1 cmG2 0.0'& cmG( 0.0)) cmG1ma% 0.1(8 cmG2 ma% 0.2&& cmG(ma% 0.29' cmDeri a 1 0.138 cmderi a2 0.106 cmderi a( 0.051 cmMa%imo alor de deri a 1.300 cm



ercer ni el (1.0(0 7.800 2&2.0(& 9.722 9.722*egundo ni el &0.'70 '.200 210.9)& 8.474 18.197


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Primer ni el &0.'70 2.)00 10'.&82 4.237 22.434 *umatoria ''8.&80


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ra edad 9.80 m/seg2 800peso 1er ni el 22&.72 tn

peso del 2do ni el 22&.72 tnpeso del (er ni el 27.1' tnpeso total &7).'9Masa 1er ni el M1 22.9( tn-seg2/mMasa del 2do ni el M2 22.9( tn-seg2/mMasa del (er ni el M( 2.77 tn-seg2/mRigide, 1er ni el 1 '72&9.00 n/mRigide, 2do ni el 2 '72&9.00 n/mRigide, ( er ni el ( 17900.00 n/mParametros de la ecuacion cubica completa M R> D5 R> >D5 D>@ M>$ 31&').72 11&&98.00 3'72&9.00 04 2.1&'985607 3'72&9.00 7'1&9.00 317900.00

$ 38.'2'(5610 0 3'72&9.00 17900.00D '.8)))561( M R> D5 M * *5cuacion cubica sin termino cuadratico 22.9( 0.00 0.00 1.00

'.1&'85609 signo de R 0.00 22.9( 0.00 1.00P 3&.)0'&560) 0.00 0.00 2.77 1.00D 26P( 37.12005619 M%1 22.9(R 21&).02 22.9(R 321&).02 2.77

/r( 30.'2 rc cos " /r(# 2.12 Radianes

121.(8 *e%agesimal1 (2)'.70

2 3&0&&.8(( 779.1( = Periodo *eg :R5$ 2P>/<;1


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matri, de rigides 3 R @*P 5* D5 :?RM * D5 M?D? " i #1.0000 1.)'(2 1.90901.0000 30.2789 32.(()21.0000 31.27&9 &.8029

!- )).12910.0)27.002

i % M22.9(0) (7.9099 '.288822.9(0) 3).(9)' 3).&72222.9(0) 329.2(&8 1(.(0)0

M- i % M % i9'.702 0.000 0.0000.000 (9.8(' 0.0000.000 0.000 12&.111

:PM1 !-/M- 0.)9100:PM2 !-/M- 0.2'2'9:PM( !-/M- 0.0')&2

$alculo de la celeracion de diseño 0.&00 ,ona (1.000 i ienda

$E 2.' 2.'00 7.02&2* 1.200 suelo intermedioR (.000* $*/R 0.400$/RF .12' 0.8((

celeracion de gra edad 980.000 cm/seg2 celeracion de diseño (92.000 cm/seg2G1 0.(1( cm

G2 0.'17 cmG( 0.'97 cmG1ma% 0.70& cmG2 ma% 1.1)& cmG(ma% 1.(&& cmDeri a 1 0.704 cmderi a2 0.460 cmderi a( 0.180 cmMa%imo alor de deri a 1.250 cm


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ercer ni el 27.1'0 7.800 211.770 20.549 20.549*egundo ni el 22&.720 '.200 11)8.'&& 113.391 133.940Primer ni el 22&.720 2.)00 '8&.272 56.696 190.636

*umatoria 19)&.'8)


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ra edad 9.80 m/seg2 800peso 1er ni el 22&.72 tn

peso del 2do ni el 1&0.80 tnpeso del (er ni el 27.1' tnpeso total (92.)7Masa 1er ni el M1 22.9( tn-seg2/mMasa del 2do ni el M2 1&.(7 tn-seg2/mMasa del (er ni el M( 2.77 tn-seg2/mRigide, 1er ni el 1 1'9700.00 n/mRigide, 2do ni el 2 1'9700.00 n/mRigide, ( er ni el ( ()(7'.00 n/mParametros de la ecuacion cubica completa M R> D5 R> >D5 D>@ M>$ 3912.72 (19&00.00 31'9700.00 04 (.71'(15607 31'9700.00 19)07'.00 3()(7'.00

$ 3&.02975611 0 31'9700.00 ()(7'.00D 9.2771561& M R> D5 M * *5cuacion cubica sin termino cuadratico 22.9( 0.00 0.00 1.00

31.09925610 signo de R 0.00 1&.(7 0.00 1.00P 3(.)9&05607 0.00 0.00 2.77 1.00D 26P( 3'.028)5622 M%1 22.9(R )077.82 1&.(7R 3)077.82 2.77

/r( 0.0' rc cos " /r(# 1.'2 Radianes

87.19 *e%agesimal1 10)2&.92

2 310&2).&7( 3198.&' = Periodo *eg :R5$ 2P>/<;1


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matri, de rigides 3


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ercer ni el 27.1'0 7.800 211.770 10.883 10.883*egundo ni el 1&0.800 '.200 7(2.1)0 37.626 48.508Primer ni el 22&.720 2.)00 '8&.272 30.026 78.534

*umatoria 1'28.202

diseño en albañileriafrida

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