Calculo de Matriz de Rigidez Lateral

INGENIERIA ANTISISMICA MATRIZ DE RIGIDEZ DOCENTE: ING. HERNAN RI ALUMNO:

ARTURO PURI

6

H2 = 3.00 m 4

5

3

H1 = 3.80 m

1

2

L1 = 4.50 m

1

6 4

5

3 1

2

2

6 5

4

3 1

2

6 4

5

3 1

2

!4

6 4

5

3 2

1

!5

6

4

5

3 1

2

!6

6 4

5

3 1

2

#11

#12

#13

#14

#21

#22

#23

#24

#31

#32

#33

#34

#41

#42

#43

#44

#51

#52

#53

#54

#61

#62

#63

#64

#  =

1945.973 -1304.224

-1304.224 1304.224

# ! =

-368.506 -368.506 -978.168 -978.168

978.168 978.168 978.168 978.168

 I - CALCULO DE LATERAL CALDI PORRAS ZAGA AYALA

L1 = 4.50 m H1 = 3.80 m H2 = 3.00 m

H

"

COEFICIENTES DE RIGIDEZ

"= H= %&' =

 = 1

1945.973 -1304.224 -368.506 -368.506 =

=

-978.168 -978.168

 = 1

-1304.2239072 1304.2239072 978.16793037 978.16793037 =

=

978.16793037 978.16793037

-368.50647792 978.16793037 4805.0354474 652.11195358 =

=

978.16793037 0

 = 1

-368.50647792 978.16793037 652.11195358 4805.0354474 =

=

0 978.16793037

 = 1

-978.16793037 978.16793037 978.16793037 0 =

=

3260.5597679 652.11195358

 = 1

-978.16793037 978.16793037 0 978.16793037 =

=

652.11195358 3260.5597679

O"TENEMOS LA MATRIZ DE LA ESTRU

#15

#16

1(45.()3

#25

#26

-1304.224

#35

#36

-368.506 =

#45

#46

-368.506

#55

#56

-()8.168

#65

#66

-()8.168

O"TENEMOS LA MATRIZ DE

# ! =

-368.506 978.168

-368.506 978.168

# !! =

#$ =

1450.((3 -)80.246

4805.035 652.112 978.168 0.000

-)80.246 608.638

652.112 4805.035 0.000 978.168

FACULTAD DE INGENIERIA INDUSTRIAL+ SISTEMAS E INFORMATICA

INSERTAR DATOS COLUMNA 1

COLUMNA 2

*IGA 3

COLUMNA 4

COLUMNA 5

0.30 m 0.30 m 210 !"#m2

0.30 m 0.30 m 210 !"#m2

0.30 m 0.30 m 210 !"#m2

0.30 m 0.30 m 210 !"#m2

0.30 m 0.30 m 210 !"#m2

ELEMENTO 1 - COLUM

1

$%# & E#1& H1& '& H& A#1 & I#1 & EI#1 &

210 !"#m2 2173706.5 3.80 0.30 0.30 0.09 0.000675 1467.2518956

H "

ELEMENTO 2 - COLUM

2

$%# & E#2& H1& '& H& A#2 & I#2 & EI#2 &

210 !"#m2 2173706.5 3.80 0.30 0.30 0.09 0.000675 1467.2518956

H "

4

$%# & E(3& L1& '& H& A(3 & I(3& EI(3 &

210 !"#m2 2173706.5 4.50 0.30 0.30 0.09 0.000675 1467.2518956

ELEMENTO 4 - COLUM

6

$%# & E#4& H2& '& H& A#4 & I#4& EI#4 &

210 !"#m2 2173706.5 3.00 0.30 0.30 0.09 0.000675 1467.2518956

H "

ELEMENTO 5 - COLUM

)

$%# & E#5& H2& '& H& A#5 & I#5 & EI#5&

210 !"#m2 2173706.5 3.00 0.30 0.30 0.09 0.000675 1467.2518956

H "

ELEMENTO 6 - *IGA

5

$%# & E(6& L1& '& H& A(6 & I(6& EI(6&

210 !"#m2 2173706.5 4.50 0.30 0.30 0.09 0.000675 1467.2518956

TURA

-1304.224

-368.506

-368.506

-()8.168

-()8.168

1304.224

()8.168

()8.168

()8.168

()8.168

()8.168

4805.035

652.112

()8.168

0.000

()8.168

652.112

4805.035

0.000

()8.168

()8.168

()8.168

0.000

3260.560

652.112

()8.168

0.000

()8.168

652.112

3260.560

RIGIDEZ LATERAL #$

-978.168 978.168

-978.168 978.168

978.168 0.000 3260.560 652.112

0.000 978.168 652.112 3260.560

*IGA 6

0.30 m 0.30 m 210 !"#m2

A C1

)*"m2 m m m m2 m4 )*-m2

A C2

)*"m2 m m m m2 m4 )*-m2

H "

)*"m2 m m m m2 m4 )*-m2

A C4

)*"m2 m m m m2 m4 )*-m2

A C5

)*"m2 m m m m2 m4 )*-m2

 *6

H "

)*"m2 m m m m2 m4 )*-m2