PROGRAMA

PREGUNTA N 17 :A total=320m2CONDICIONES GENERALES:A libre=15% At =48m2A libre=48.45> 48OK2LOSA ALIG. :e =W =0.30(Ton/m2)A const =271.55m24TABIQUERIA :W =0.15(Ton/m2)

ACABADOS :W =0.10(Ton/m2)

2S/C :USO = W =0.20(Ton/m2)Ws/c azotea =0.1(Ton/m2)%CV =25(%)CATEGORIA =C

2f'c :(Kg/cm2)2103fy :(Kg/cm2)4200E =2173706.51192842(Ton/m2)AREA TECH. :317.07(m2)UNIFORMIZANDO EL PREDIMENSIONAMIENTO DEL PERALTE DE LAS VIGAS EN AMBAS DIRECCIONES:Para el mayor lado entre ejes :L =5.60(m)b =0.30(m)

Peralte uniformizado (h) =h =0.40(m)Ya que la ot=0.95 Kg/cm2 utilizamos Vigas de cimentacin:VIGA DE CIMENTACIN:h =0.40(m)Para el mayor lado entre ejes :L =4.30(m)

Peralte uniformizado (h) =h =0.43(m)

0.4 mb =0.30(m)h =0.45(m)0.3 m

ALTURA DE PISOS:

N PISOS :3h1 =3.30(m)h2 =3.00(m)h3 =3.00(m)

PROPIEDADES GEOMETRICAS DE LAS COLUMNAS:

COLUMNA TIPO 1 :

Area (Ac1) =0.12(m2)Ncolumnas =25Inercia (Icx-x) =0.000900(m4)Inercia (Icy-y) =0.001600(m4)

COLUMNA TIPO 2 :

Area (Ac2) =0.23(m2)Ncolumnas =0Inercia (Ic2-x) =0.010547(m4)Inercia (Ic1-y) =0.001688(m4)

COLUMNA TIPO 3 :

Area (Ac3) =0.00(m2)Ncolumnas =0Inercia (Ic3-x) =0.000000(m4)Inercia (Ic3-y) =0.000000(m4)METRADO DE CARGAS:1 PISO :sumando las 2 vigas mas pequeasVIGAS EJE "X" :22.4928(Ton)Lvig-x =3.553.404.304.00Nvigas =12811

VIGAS EJE "Y" :23.76(Ton)Lvig-y =3.303.850.000.00Nvigas =18600

ALIGERADO :79.767(Ton)

TABIQUERA :47.561(Ton)

ACABADOS :31.707(Ton)

COLUMNAS :22.680(Ton)

S/C :15.854(Ton)

W1piso =208.660(Ton)M1piso :21.270(Ton-seg/m2)2 PISO :

VIGAS EJE "X" :22.4928(Ton)

VIGAS EJE "Y" :23.76(Ton)

ALIGERADO :79.767(Ton)

TABIQUERA :47.561(Ton)

ACABADOS :31.707(Ton)

COLUMNAS :21.600(Ton)

S/C :15.854(Ton)

W2piso =208.660(Ton)M2piso :21.270(Ton-seg/m2)3 PISO :

VIGAS EJE "X" :22.4928(Ton)

VIGAS EJE "Y" :23.76(Ton)

ALIGERADO :79.767(Ton)

TABIQUERA :28.536(Ton)(60% ULTIMO PISO)

ACABADOS :19.024(Ton)(e=3 cm; Wacab=0.06Ton/m2)

COLUMNAS :10.800(Ton)

S/C :7.927(Ton)(0.1 ton/m2 en AZOTEA

W3piso =165.040(Ton)M3piso :16.824(Ton-seg/m2)CLCULO DE LA RIGIDEZ:RIGIDEZ "X" :RIGIDEZ "Y" :K1piso-X = 29033.5622(Ton/m)K1piso-Y = 16331.378752(Ton/m)

K2piso-X = 38643.6713(Ton/m)K2piso-Y = 21737.065119(Ton/m)

K3piso-X = 38643.6713(Ton/m)K3piso-Y = 21737.065119(Ton/m)CLCULO DE LAS FRECUENCIAS Y PERIODOS (Para "Comparar" con los admisibles):MATRIZ DE MASA :M1piso00M =0M2piso000M3piso21.27000M =021.27000016.824MATRIZ DE RIGIDEZ :(K1piso-Y) + (K2piso-Y)- (K2piso-Y)0K =- (K2piso-Y)(K2piso-Y) + (K3piso-Y)- (K3piso-Y)0- (K3piso-Y)(K3piso-Y)38068.443872-21737.06511928420K =-21737.065119284243474.130239-21737.06511928420-21737.065119284221737.065119APLICANDO :

(W1)2=(W1)2=191.1707W1=13.826449(rad/seg)

(W2)2=1605.5167W2=40.068900(rad/seg)OK

(W3)2=3352.8172W3=57.903516(rad/seg)

T1piso :0.454432(s)Tadm1piso :0.265714(s)RIGIDIZARPLACA "INCLINADA" :ANGULO=72.474

T2piso :0.156810(s)Tadm2piso :0.265714(s)BIENIx=0.02441m4N Placas Inclinadas2Iy=0.00426m4T3piso :0.108511(s)Tadm3piso :0.265714(s)BIEN

1.25(AHORA TENEMOS SISTEMA DUAL) PREDIMENSIONAMIENTO DE LAS PLACAS DE "0.15":1.35DIRECCION "X" :(PARA 1 PLACA X DEFECTO)(PARA "N" PLACAS)0.15

4LONGITUD :AREA :0.1875(m2)17720.680069747823586.22517323586.225173Ipl-x :0.00035156(m4)Kpl,1piso-x =70882.7203(Ton/m)Kpl,2piso-x =94344.9007(Ton/m)Kpl,3piso-x =94344.9007(Ton/m)3N PLACAS :Ipl-y :0.02441406(m4)Kpl,1piso-y =1020.7112(Ton/m)Kpl,2piso-y =1358.5666(Ton/m)Kpl,3piso-y =1358.5666(Ton/m)4255.1777930044339.6416424888339.641642

DIRECCION "Y" :(PARA 1 PLACA X DEFECTO)(PARA "N" PLACAS)

4LONGITUD :AREA :0.1875(m2)255.1777930044339.641642339.641642Ipl-x :0.02441406(m4)Kpl,1piso-x =1020.7112(Ton/m)Kpl,2piso-x =1358.5666(Ton/m)Kpl,3piso-x =1358.5666(Ton/m)3N PLACAS :Ipl-y :0.00035156(m4)Kpl,1piso-y =70882.7203(Ton/m)Kpl,2piso-y =94344.9007(Ton/m)Kpl,3piso-y =94344.9007(Ton/m)417720.680069747823586.22517323586.225173PESO DE LAS PLACAS DE "0.15":PESO TOTAL RECALCULADO:MASA TOTAL RECALCULADA:

Wpl,1piso =9.900(Ton) Wrec,1piso =218.560(Ton)Mrec,1piso =22.279(Ton-seg/m2)

Wpl,2piso =9.36(Ton) Wrec,2piso =218.020(Ton)Mrec,2piso =22.224(Ton-seg/m2)

Wpl,3piso =3.96(Ton) Wrec,3piso =169.000(Ton)Mrec,3piso =17.227(Ton-seg/m2)RIGIDEZ TOTAL RECALCULADA "X":RIGIDEZ TOTAL RECALCULADA "Y":

Krec,1piso-x =100936.994(Ton) Krec,1piso-y =88234.810(Ton)

Krec,2piso-x =134347.139(Ton) Krec,2piso-y =117440.532(Ton)

Krec,3piso-x =134347.139(Ton) Krec,3piso-y =117440.532(Ton)Verificar cuando no hay placas en la siguiente direccin CLCULO DE LAS FRECUENCIAS Y PERIODOS "RECALCULADOS" (Para "Comparar" con los admisibles):CLCULO DE LAS FRECUENCIAS Y PERIODOS "RECALCULADOS" (Para "Comparar" con los admisibles):EN EL EJE MAS "DEBIL":YEN EL OTRO EJE :X

MATRIZ DE MASA :MATRIZ DE MASA :Mrec,1piso00Mrec,1piso00M =0Mrec,2piso0M =0Mrec,2piso000Mrec,3piso00Mrec,3piso

22.2790022.27900M =022.224260M =022.22400017.22730017.227

MATRIZ DE RIGIDEZ :MATRIZ DE RIGIDEZ :(Krec,1piso-Y) + (Krec,2piso-Y)- (Krec,2piso-Y)0(Krec,1piso-X) + (Krec,2piso-X)- (Krec,2piso-X)0K =- (Krec,2piso-Y)(Krec,2piso-Y) + (Krec,3piso-Y)- (Krec,3piso-Y)K =- (Krec,2piso-X)(Krec,2piso-X) + (Krec,3piso-X)- (Krec,3piso-X)0- (Krec,3piso-Y)(Krec,3piso-Y)0- (Krec,3piso-X)(Krec,3piso-X)

205675.3426-117440.53240.0000235284.1323-134347.13860.0000K =-117440.5324234881.0648-117440.5324K =-134347.1386268694.2772-134347.13860.0000-117440.5324117440.53240.0000-134347.1386134347.1386

APLICANDO :APLICANDO :

996.774231.571731(rad/seg)1140.268733.767865(rad/seg)

8230.569590.722486(rad/seg)9415.433097.033154(rad/seg)

17390.1208131.871607(rad/seg)19893.5848141.044620(rad/seg)

T1piso :0.199013(seg)Tadm1piso :0.206667(seg)OKEYT1piso :0.186070(seg)Tadm1piso :0.206667(seg)OKEY

T2piso :0.069257(seg)Tadm2piso :0.206667(seg)OKEYT2piso :0.064753(seg)Tadm2piso :0.206667(seg)OKEY

T3piso :0.047646(seg)Tadm3piso :0.206667(seg)OKEYT3piso :0.044548(seg)Tadm3piso :0.206667(seg)OKEY22207.4380.0000.000205675.343-117440.5320.000996.77420.00022152.5700.000K = -117440.532234881.065-117440.5320.0000.00017171.7470.000-117440.532117440.532183467.904-117440.5320.000-117440.532212728.495-117440.5320.000-117440.532100268.785

1.000000a1 = 1.5622201.829761183371.3840.0000.0008230.56950.000182918.3260.0000.0000.000141790.64822303.958-117440.5320.000-117440.53251962.739-117440.5320.000-117440.532-24350.115

1.000000a2 = 0.189917-0.915969387439.8360.0000.00017390.12080.000386482.5820.0000.0000.000299585.159-181764.494-117440.5320.000-117440.532-151601.517-117440.5320.000-117440.532-182144.627

1.000000a3 = -1.5477150.997913ai= amplitud del movimiento de la coordenada i1.0000001.0000001.00000011.58429026a = 1.5622200.189917-1.5477156.126550321.829761-0.9159690.9979139.626592540.0863240.1632240.103879 = 0.1348570.030999-0.1607750.157952-0.1495080.103662r1 = -7.6414140631r2 = -1.7498228r3 = -0.5270657163ACELERACION APLICADA A LA BASE:

S = 2.4525f(t)INGRESAR : S = 0.25x g

G1est = 0.002460INGRESAR :td = 0.25(seg)G2est = 0.000298G3est = 0.000141

1.256196INGRESAR :(FD1)max = 1.62

3.609725(FD2)max = 1.86

5.246992(FD3)max = 1.90

G1,max = 0.00399(m)U1,max = 0.00263(m)

G2,max = 0.00055(m)U2,max = 0.0041(m)

G3,max = 0.00027(m)U3,max = 0.0048(m)COMPARANDO DESPLAZAMIENTOS MAXIMOS CON LOS PERMISIBLES:

DESPLAZAMIENTOS MAXIMOS:DESPLAZAMIENTOS PERMISIBLES:

Y1,max = 1.3829(cm)1.3829Y1,adm = 2.3100(cm)OKEY

Y2,max = 2.1565(cm)0.7736Y2,adm = 2.1000(cm)OKEY

Y3,max = 2.5269(cm)0.3704Y3,adm = 2.1000(cm)OKEY

DINMICA ESTRUCTURAL[SOLUCIONARIO DEL EXAMEN FINAL]

LOARTE PARDAVE, JOSEPH G.

=/14ANLISIS DINAMICO ESTRUCTURAL|[K] - ^2 []|=0|[K] - ^2 []|=01^2 :2^2 :3^2 :1 :2 :3 :|[K] - ^2 []|=01^2 :2^2 :3^2 :1 :2 :3 :1^2 :^2 []=[K] -^2 []=2^2 :^2 []=[K] -^2 []=3^2 :^2 []=[K] -^2 []=_/_1 =_/_2 =_/_3 ==/10

BASE DATOS10.1710.2820.2020.3030.2530.3540.3040.4210.0310.0320.0620.0630.0930.0940.1540.1550.2150.2160.2760.2770.3370.3380.3980.391ALMACEN10.501B1502DEPARTAMENTO20.202C2253OFICINAS30.253C3254TIENDA40.504B4505VIVIENDA50.205C5251175221032804350

128002350034200

10.5010.075010.00014110.00156311134.1235241102.07111711509.5184111135.85665711509.5184111135.85665720.7520.112520.00021120.00527323827.6668952153.10667625094.6246372203.78498525094.6246372203.78498531.0030.150030.00028130.01250039072.9881963204.142234312076.1472883271.713314312076.1472883271.71331441.2540.187540.00035240.024414417720.6800704255.177793423586.2251734339.641642423586.2251734339.64164251.5050.225050.00042250.042188530621.3351615306.213352540756.9970995407.569971540756.9970995407.56997161.7560.262560.00049260.066992648625.5461116357.248910664720.6018746475.498299664720.6018746475.49829972.0070.300070.00056370.100000772583.9055667408.284469796609.1783087543.426628796609.1783087543.42662882.2580.337580.00063380.1423838103347.0061678459.3200278137554.8652088611.3549568137554.8652088611.35495692.5090.375090.00070390.1953139141765.4405589510.3555869188689.8013839679.2832859188689.8013839679.283285102.75100.4125100.000773100.25996110188689.80138310561.39114510251146.12564010747.21161310251146.12564010747.211613

1022344658610

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