ANALISIS MATRICIAL DE UN PORTICO -PLACA

UNIVERSIDAD CESAR VALLEJO

FACULTAD DE INGENIERIAESCUELA DE INGENIERIA CIVIL

PROGRAMA DE DESARROLLO PROFESIONAL

CURSO: CIENCIAS BASICAS

ALUMNOS : JESUS ALBERTO PALOMINO CELISGINO BEJARANO MALCASERGIO TINEO HUANCASROMAIN ALBERTO DAMIAN AYALAJENNER FERNANDEZ DELGADO

PORTICO SISTEMA DUALLuz= 2.8 a= 1 b= 0.3

H1piso= 3 H2PISO=

DATOS

DATOS COLUMNAS DATOS VIGAS DATOS PLACAL= 0.2 H= 0.4 L= 0.25A= 0.4 B= 0.2 t= 1.5Ic= 0.0010666667 Iv= 0.0007466667 Ip= 0.0703125E= 2173706.51 E= 2173706.51 E= 2173706.51

EI= 2318.62 EI= 1623.03 EI= 152838.74Ø1= 0.053 W = 2 Ø1= 0.750

P = 10

V2 Ø2 V3 Ø3887.23 2129.35 -887.23 1508.29 V2

2129.35 5690.08 -2129.35 3040.23 Ø2Kviga2-3= -887.23 -2129.35 887.23 -1508.29 V3

1508.29 3040.23 -1508.29 3143.74 Ø3

U1 V1 Ø1 U5 V238816.19 0.00 -58224.28 -38816.19 0.00

0.00 271713.31 0.00 0.00 -271713.31

K(1-2)= -58224.28 0.00 138282.67 58224.28 0.00-38816.19 0.00 58224.28 38816.19 0.00

0.00 -271713.31 0.00 0.00 271713.31-58224.28 0.00 36390.18 58224.28 0.00

MATRIZ DE RIGIDEZ GLOBAL

V2 Ø2 V3 Ø3V2 272600.54 2129.35 -887.23 1508.29

Ø2 2129.35 143972.75 -2129.35 3040.23

V3 K = -887.23 -2129.35 47951.17 1261.84Ø3 1508.29 3040.23 1261.84 14217.34U5 0 58224.28 -45216 2770.12

V2 Ø2 V3 Ø3V2 3.6736E-06 -1.7803E-07 3.9646E-07 -4.5388E-07

Ø2 -1.7803E-07 1.4195E-05 -1.7016E-05 2.1278E-06V3 = 3.9646E-07 -1.7016E-05 6.2744E-05 -1.0724E-05Ø3 -4.5388E-07 2.1278E-06 -1.0724E-05 7.2720E-05U5 3.4408E-07 -1.8651E-05 4.4917E-05 -9.4343E-06

DESPLAZAMIENTOS Y GIROS

V2 -8.32E-06Ø2 -1.54E-04V3 2.81E-04Ø3 2.92E-05U5 3.68E-04

VIGA (2-3)V2 Ø2 V3

Y2 887.23 2129.35 -887.23M2 = 2129.35 5690.08 -2129.35Y3 -887.23 -2129.35 887.23M3 1508.29 3040.23 -1508.29

Y2 -0.54 2.80M2 = -1.40 1.31Y3 0.54 2.80M3 -0.81 -1.31

FUERZAS

Y2 2.26M2 -0.10Y3 3.34M3 -2.12

PLACA (1-2)U1 V1 Ø1

H1 38816.19 0.00 -58224.28Y1 0.00 271713.31 0.00M1 = -58224.28 0.00 138282.67H5 -38816.19 0.00 58224.28Y2 0.00 -271713.31 0.00M2 -58224.28 0.00 36390.18

FUERZAS H1 -5.30Y1 2.26M1 = 15.80H5 5.30Y2 -2.26M2 0.10

COLUMNA (4-3)U4 V4 Ø4

H4 47063.95 -45216.05 -2770.12Y4 -45216.05 47063.95 -2770.12M4 = -2770.12 -2770.12 11073.60H5 -47063.95 45216.05 2770.12Y3 45216.05 -47063.95 2770.12M3 -2770.12 -2770.12 5536.80

FUERZAS

H4 -4.70Y4 3.34M4 = 1.96H5 4.70Y3 -3.34M3 2.12

UNIVERSIDAD CESAR VALLEJO

FACULTAD DE INGENIERIAESCUELA DE INGENIERIA CIVIL

PROGRAMA DE DESARROLLO PROFESIONAL

10 Tn2 CARGA DISTRIBUIDA 2TN/M

PORTICO SISTEMA DUAL

3

1

U4 V4 Ø4 U5 V347063.95 -45216.05 -2770.12 -47063.95 45216.05

-45216.05 47063.95 -2770.12 45216.05 -47063.95-2770.12 -2770.12 11073.60 2770.12 2770.12

K(4-3)= -47063.95 45216.05 2770.12 47063.95 -45216.0545216.05 -47063.95 2770.12 -45216.05 47063.95-2770.12 -2770.12 5536.80 2770.12 2770.12

Ø2-58224.28 U1

0.00 V1

36390.18 Ø158224.28 U5

0.00 V2138282.67 Ø2

U5 -10 V2 0 Y2 2.8

58224.28 Ø2 * 0 M2 1.306666667

-45216 V3 0 Y3 2.82770.12 Ø3 0.00 M3 -1.30666667

85880.13 U5 10 H5 0

U53.4408E-07 V2 -2.8 Y2-1.8651E-05 Ø2 * -1.30666667 M24.4917E-05 V3 -2.8 Y3-9.4343E-06 Ø3 1.306666667 M34.8243E-05 U5 10 H5

Ø31508.29 V2 -8.32E-06 V2 2.803040.23 Ø2 * -1.54E-04 Ø2 + 1.31

-1508.29 V3 2.81E-04 V3 2.803143.74 Ø3 2.92E-05 Ø3 -1.31

2.26-0.103.34-2.12

U5 V2 Ø2-38816.19 0.00 -58224.28 U1 0.00E+00 U1 0.00

0.00 -271713.31 0.00 V1 * 0.00E+00 V1 0.0058224.28 0.00 36390.18 Ø1 0.00E+00 Ø1 0.0038816.19 0.00 58224.28 U5 3.68E-04 U5 0.00

0.00 271713.31 0.00 V2 -8.32E-06 V2 0.0058224.28 0.00 138282.67 Ø2 -1.54E-04 Ø2 0.00

U5 V3 Ø3-47063.95 45216.05 -2770.12 U4 0.00 U4 0.0045216.05 -47063.95 -2770.12 V4 * 0.00 V4 0.00

2770.12 2770.12 5536.80 Ø4 0.00 Ø4 0.0047063.95 -45216.05 2770.12 U5 3.68E-04 U5 0.00

-45216.05 47063.95 2770.12 V3 2.81E-04 V3 0.002770.12 2770.12 11073.60 Ø3 2.92E-05 Ø3 0.00

CARGA DISTRIBUIDA 2TN/M 3

4

ANALISIS DE PORTICO INCLINADOØ3

-2770.12 U4-2770.12 V4 ELEMENTO L5536.80 Ø4 4-3 (COL.) 4.242770.12 U52770.12 V3

11073.60 Ø3ELEMENTO Ǿ

4-3 (COL.) 135

MOMENTO DE EMPOTRAMIENTO

ME23

ME32

BASE ALTURA I (m4) E(tN/m2) AREA EI0.3 0.6 0.00540000 2173706.512 0.18 11738.0151648

λ µ AE/L 12EI/L^3 6EI/L^2 4EI/L-0.707106781187 0.70710678 92279.99343396 1847.89947692 3917.5468911 11073.5992121

MOMENTO DE EMPOTRAMIENTO

1.3066666666667 2.8

-1.306666666667 2.8

RE23 =

RE32 =

2EI/L5536.79960604

ELEMENTO L BASE ALTURA I (m4) E(tN/m2) AREA4-3 (COLUM.) 4.24 0.3 0.6 0.00540000 2173706.512 0.18

ELEMENTO Ǿ λ µ AE/L 12EI/L^3 6EI/L^24-3 (COL.) 135 -0.707106781 0.70710678 92279.993434 1847.8994769 3917.5468911

U4 V4 O4 U347063.94646 -45216.04698 -2770.123972 -47063.94646

-45216.04698 47063.946455 -2770.123972 45216.046979-2770.123972 -2770.123972 11073.599212 2770.1239723

KCOL.4-3 -47063.94646 45216.046979 2770.1239723 47063.94645545216.04698 -47063.94646 2770.1239723 -45216.04698

-2770.123972 -2770.123972 5536.799606 2770.1239723

EI AREA DE COLUMNA Y VIGA

11738.015165 3 - 4 0.18

4EI/L 2EI/L11073.599212 5536.79961

V3 O345216.046979 -2770.12397 U4-47063.94646 -2770.12397 V42770.1239723 5536.79961 O4-45216.04698 2770.12397 U347063.946455 2770.12397 V32770.1239723 11073.5992 O3