149935814-Parte-2.pdf

DISEÑO ESTRUCTURAL DE UNA VIVIENDA ECONÓMICA DE 160m 2

Genaro Delgado Conrera!

1


PRIMER PISO


2


SEGUNDO PISO


"


PESO DE LA ESTRUCTURA PARA CALCULAR LA FUERZA HORIZONTAL “H” 1.

2 METRADO DE LOSA ALIGERADA (m )

PRIMER PISO A "'()& × "'&&0 # "'12& × "'&&0 C "'2&0 × 1'*00 D "'2&0 × 2'&&0 E "'2&0 × 1'000 $

+'000 × 1'000

G +'000 × 2'&00 % +'000 ×1'*00

SEGUNDO PISO

= 1"')&6

I

"'()& × "'&&0

= 1" ')&6

= 11'0*+ = 6'1)& = ('2(( = "'2&0 = +'000 = 10'200 = )'600

,

"'12& × "'&&0

= 11'0*+ = &'*"( = )'*6* = "'2&0 = +'000 = *'((1 = )'"6"

6+'"6"m

.e!o de la lo!a /de e!e!or 0'20m 2

- "'12& × 1'*00 "'12& × 2'&&0

L

M "'2&0 ×1'000 N +'000 ×1'000 O "'()& × 2'&&0 . "'()& × 1'*00

2

6" '2&1m 2

"00 kg

× "00'000

.r3mer 3!o

6+'"6"m

Seg4ndo 3!o

6"'2&1m 2 × "00'000

m2

kg

=1*"0( '*kg

m2 kg

=1(*)& '"kg

m2

NOTA En el al3gerado % 5emo! merado oda la lo!a al3gerada ara omen!ar el e!o de la e!alera'

2.

ACABADOS Y LADRILLO PA PASTELERO

En el r3mer n37el meramo! lo! 3!o!8 9 en el !eg4ndo el ladr3llo a!elero' .ara am:o! a!o! ra:a;amo! on
100 kg

m2

'

('00 × 10'00 = (0'00m 2

(0'000m

2

× 100'000 kg m2

=(000 kg

rea e5ada e5ada ? >rea de m4ro! 2@ 3!o ('00 × 10 '00 − ( 2" '2& × 0'1& + 21 '6& × 0'2& )


= )1'10m

2

+


)1'100m

3.

2

× 100'000

kg m2

=)110 '00kg

VIGAS SOLERAS Y DINDELES PRIMER PISO E;e 11 enre e;e! AA8 DD

0'2& × 0'20 × *'00

= 0'+&0 m "

E;e 22 enre e;e! ##8 DD

0'2& × 0'20 × + '"&

= 0'21(m "

DINDEL

0'2& × 0'20 × 0'(&

= 0'0+"m "

E;e "" enre e;e! AA8 DD

0'2& × 0'20 × *'00

= 0'+&0 m " 1'161m

.e!o de 73ga! !olera!

2+00 '00 kg

m"

"

×1'161m = 2')(6'+kg "

SEGUNDO PISO E;e 11 enre e;e! AA8 DD

0'2& × 0'20 × *'00

= 0'+&0 m "

E;e "" enre e;e! AA8 DD

0'2& × 0'20 × *'00

= 0'+&0 m " 0'*00m "

.e!o de 73ga! !olera!

.

2+00'00 kg

m"

× 0'*00m = 2160'00kg "

VIGAS DE AMARRE 3 PRIMER PRI MER PISO (m )

E;e AA enre e;e! 118 "" E;e ## enre e;e! 118 22 E;e ## enre e;e! 228 "" E;e CC enre e;e! 118 22 E;e CC enre e;e! 228 "" E;e DD enre e;e! 118 22 E;e ## enre e;e! 228 ""

0'2& × 0'20 × )'&0 0'2& × 0'20 × +'00 0'2& × 0'20 × "'2& 0'2& × 0'20 × +'00 0'2& × 0'20 × "'2& 0'2& × 0'20 × +'00 0'2& × 0'20 × "'2&

= 0'")&m " = 0'200m " = 0'16"m " = 0'200m " = 0'16" m " = 0'200m " = 0'16" m " 1'+6+m "

.e!o

2+00'00 kg

m"

×1'+6+m = "&1"'6kg "

3 SEGUNDO SEGU NDO PISO (m )

La! 73ga! de amarre del !eg4ndo 3!o !on 3g4ale! al r3mero'

!.

VIGAS CHATAS PRIMER PISO


&


E;e 22 enre e;e! AA8 ## E;e ##8 e;e CC8 e;e 118 e;e! 22

0'&0 × 0'20 × "'&& 0'2& × 0'20 × 1'*0

= 0'"&&m " = 0'0*&m " 0'+&0 m "

.e!o

2+00'00 kg

m"

× 0'+&0m " = 10(0'00kg

SEGUNDO PISO E;e 22 enre e;e! AA8 DD .e!o

".

2+00 '00 kg

m"

0'&0 × 0'20 × 0'*0

= 0'*00m "

× 0'*00m = 2160'00kg "

COLUMNAS

%a9 12 ol4mna! de 2'&0m de alo' 12 × 2+00 '00 × 0'2& × 0'2& × 2'&0 12 × 2+00 '00 × 0'2& × 0'2& × 2'&0

.r3mer 3!o Seg4ndo 3!o

#.

SOBRECARGAS × 200 '00(('00 ×10'00 − *'60 ) = "&20 '00m " 0'2& ×1&0 '00( ('00 ×10 '00 ) = "000 '00m "

.r3mer 3!o Seg4ndo 3!o

$.

0'2&

VIGAS .r3mer 3!o Seg4ndo 3!o

%.

" × 0'2& × 0'&0 ×1'00 × 2+00 '00 " × 0'2& × 0'&0 ×1'00 × 2+00 '00

= *00'00m " = *00'00m "

MUROS M4ro! aralelo! a la Ba5ada

/D3re3n  .RIMER .ISO e = 0'1&m E!e3B3a3n E;e ## M4ro 2 2'&0

E;e DD

= +&00 '00m " = +&00 '00m "

M4ro "

1')&

M4ro +

0'60

M4ro )

0'*0

0'*& 6')0 SEGUNDO .ISO

M4ro! erend34lare! a la Ba5ada

e = 0'2&m

E;e 22

e = 0'2&m

('00

M4ro *

1'(&

M4ro 10

1')0

E;e DD M4ro &

M4ro 6


/D3re3n  .RIMER .ISO e = 0'1&m E!e3B3a3n E;e 11 M4ro 1

M4ro ( 

2'1& 2'1& SEGUNDO .ISO

('00 1*'&&

6


E!e3B3a3n E;e AA

E;e ##

E;e CC

E;e DD

e = 0'1&m

M4ro 2

0'*0

M4ro "

1'10

M4ro +

1'2&

M4ro 21

0'+&

M4ro 10

2'&0

M4ro 1*

0'60

M4ro 12

2'"&

M4ro *

2'&0

M4ro 20

0'60

M4ro 1"

2'"&

M4ro 1)

0'+&

M4ro (

0'*0

M4ro )

1'10

M4ro 6

1'2& 1('"0

e = 0'2&m

E!e3B3a3n E;e 11 M4ro 1

e = 0'1&m

M4ro 1&

1'*2&

M4ro 1(

1'*2&

e

= 0'2&m *'00

E;e DD M4ro 11

1'(2&

M4ro 1+

1'(2&

M4ro 16

1'10

M4ro &



*'00

+'*&

21'6&

LONGITUD DE MUROS PRIMER PISO e = 0'1&m e = 0'2&m

L = 6')0m + 2'1&m L

=

0m

+1*'&&m

= ('(&m

= 1*'&&m

.ESO DE MURO ( ('(&m × 0'1&m + 1*'&&m × 0'2&m ) × 2'&0m ×1(00 kg m " = 2)*6) '&kg

.e!o de alBe3Far

"02" '& kg

SEGUNDO PISO e = 0'1&m e = 0'2&m

L = 1('"0m + +'*&m L

=

0m

+ 21'6&m

= 2"'2&m = 21'6& m

.ESO DE MURO Genaro Delgado Conrera!

)


( 2"'2&m × 0'1&m + 21'6&m × 0'2&m ) × 2'&0m ×1(00 kg m " = "*")& '0kg

.e!o de alBe3Far

"(2& '0 kg

PESO TOTAL E&'*+*,*- 1' 2' "' +' &' 6' )' (' *'

Lo!a al3gerada Ladr3llo a!elero 9 aa:ado! V3ga! !olera! 9 d3nele! V3ga! de amarre V3ga! 5aa! Col4mna! So:rearga! V3ga! M4ro! 9 alBe3Far

P/*m/ '*&0 () 1*"0('*0

S40 '*&0 () 1(*)&'"0

TOTAL () "(2(+'20

)110'00

(000'00

1&110'00

2)(6'+0

2160'00

+*+6'+0

"&1"'60

"&1"'60

)02)'20

10(0'00 +&00'00 "&20'00 *00'00

2160'00 +&00'00 "000'00 *00'00

"2+0'00 *000'00 6&20'00 1(00'00

"0**1'00

+"200'00

)+1*1'00

)")0*'*0

(6+0('*0

16011('(0

C5LCULO DE LA FUERZA POR SISMO

H =

Z ⋅ U ⋅ S ⋅ C R d

⋅ P

 = 0'+0

or !er Fona !H!m3a "

U = 1'00

or !er a!a ? 5a:3a3n !egn el Reglameno e! aegorHa C

S = 1'20

or !er !4elo 3nermed3o

Rd = "'00

or !er on!r43n de al:aJ3lerHa onB3nada

C5LCULO DEL PERIODO DE VIBRACI6N FUNDAMENTAL DE LA ESTRUCTURA


(


H = &'+0 m D X

= ('00 8

DY

= *'00

.ara el DY !e on!3dera el largo8 !3n on!3derar la Fona de 7olad3Fo' .ara el >l4lo 43l3Faremo! la NORMA E'0"0 ? RNE' El 7alor de KC !e deB3ne omo el Baor de aml3B3a3n !H!m3a de la re!4e!a e!r44ral re!eo de la aelera3n 9 !e o:3ene al4lando

 T P  ;   T 

C = 2.5

C ≤ 2.5

Donde T 0'60 on!3derando ara 4n !4elo 3o S 2 3nermed3o' /Segn Ta:la N@ 2 Norma E'0"0 T e! el er3odo B4ndamenal de 73:ra3n ara ada d3re3n /!egn ArH4lo 1)'2  Norma E'0"0 9 ara !4 >l4lo !e emlear> la Brm4la

T =

hn C T

Donde 5n al4ra de la ed3B3a3n re!eo al n37el del erreno en mero!' CT 60 ara e!r44ra! de mamo!erHa o e!r44ra! B4ndamenalmene de m4ro! de ore'


*


T X

= 5.40 = 0.09

T Y

= 5.40 = 0.09

60

60

 0.6  = 16.7  .ero omo C ≤ 2'&8 adoamo! C= 2'&  0.09 

C = 2.5

C>l4lo de % /B4erFa orane en la :a!e

H =

( 0.40 )(1.00 )(1.2 )( 2.5 )(160119 .05 ) ZUCS P = Rd 3.00

H

64047.62 Kg

=

64.05Tn

=

FUERZAS LATERALES EN CADA PISO

F i

=

P i hi ∑ P i hi

( H - F a )

NIVEL

P i

H i

P i H i

F i

2

(6+0('*0

&'+0

+6660('06

++61+'*6((

1

)")10'1&

2')0

1**01)'+0& 1*1+*')*+*

66&62&'+6&

$a=0'0) T %  0'1& % $a=0'0) 0'0*  6+0+)'62= +0"'&0 Pg'


10


V 1

= F 1 + F 2 = 63764 .76kg

V 2

= F 2 = 19149.79 kg

V 2

= 0.70 H

V 1

= 0.30 H

A on3n4a3n re!enamo! la! a:la! de 7alore! de RIGIDECES ara el r3mer 3!o'


11



12


PRIMER PISO

E

1

2

"

A

A

2'&0

#

1')&

0'*00'60

#

*'00 2'"& C

C

+'(&

0'(&

2'1&

1'*& 0'*&

2'"0

D

D

0'*0 0'2& 0'1& 1




2'*& 0'2& 2

0'2& "

1"


RIGIDECES 7 PRIMER PISO

8 . * ) ) ( / * D

 m

( )

 h  3    

 h  4    

 h   h  3  + 4       

K X

3

3

M4ro

e (m)

11

*'00

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'0022

22

0'1&

2'&0

2'&0

"'00

+'00

)'00

0'021+

""

0'1&

2'&0

1')&

+'2*

11'66

1&'*&

0'00*

++

0'1&

2'&0

0'60

12'&0

2(*'"&

"01'(&

0'000&

&&

*'00

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'0022

66

0'1&

2'&0

0'*&

)'(*

)2'*0

(0')*

0'001*

))

0'1&

2'&0

0'*0

('""

(&')"

*+'06

0'0016

((

2'1&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

**

2'"&

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'0006

1010

1'*&

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'000&

h

(m)


E

1+


Y . * ) ) ( / * D

( m)

 m

 h  3    

 h  4    

 h   h  3  + 4       

K X

( )

3

3

M4ro

e ( m)

11

0'2&

2'&0

*'00

0'("

0'0*

0'*2

0'2)1)

22

2'&0

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

""

1')&(

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

++

0'60

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

&&

0'2&

2'&0

*'00

0'("

0'0*

0'*2

0'2)1)

66

0'*&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

))

0'*0

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

((

0'1&

2'&0

2'1&

"'+*

6'2*

*')(

0'01&"

**

0'2&

2'&0

2'"&

"'1*

+'(2

('01

0'0"12

1010

0'2&

2'&0

1'*&

"'(&

('+"

12'2(

0'020+

h


E

1&


CENTRO DE RIGIDECES 9 PRIMER PISO

M/0

:8 ;E

: Y ;E

Y (m)

8 (m)

(:8 ;E)<

(: Y ;E)=

11

0'0022

0'2)1)

+'&0

0'12&

0'00**

0'0"+0

2?2

0'021+

0'0001

&'0)&

1'&0

0'10(6

0'0002

""

0'00*

0'0001

&'0)&

&'")&

0'0+&)

0'000&

++

0'00&

0'0000

&'0)&

)'+&

0'002&

0'0000

&&

0'0022

0'2)1)

+'&0

)'()&

0'00**

2'1"*6

66

0'001*

0'0000

0'0)&

+'*)&

0'0001

0'0000

)?)

0'0016

0'0000

0'0)&

0')00

0'0001

0'0000

((

0'0001

0'01&"

1'0)&

1'22&

0'0001

0'01()

**

0'0006

0'0"12

"'*)&

+'")&

0'002+

0'1"6&

10  10

0'000&

0'20+

0'*)&

+'")&

0'000&

0'0(*"

Q

0'0+0

0'610&

0'1)*(

2'+1((

X CR

=

2'+1(( 0'610&

="' *62 m


Y CR

=

0'1)*( 0'0+0

=+'+*& m

16


CENTRO DE MASAS 9 PRIMER PISO

M/0

E&'*+*,*-

P&0(T)

Y (m)

8 (m)

PY

P8

11

*'00 × 0'2& × 2'&0 × 1'(0

10'12&

+'&0

0'12&

+&'&6"

1'266

2?2

2'&0 × 0'1& × 2'&0 × 1'(0

1'6((

&'0)&

1'&00

('&6)

2'&"2

""

1')& × 0'1& × 2'&0 × 1'(0

1'1(1

&'0)&

&'")&

&'**+

6'"+(

++

0'60 × 0'1& × 2'&0 × 1'(0

0'+0&

&'0)&

)'+&0

2'0&&

"'01)

&&

*'00 × 0'2& × 2'&0 × 1'(0

10'12&

+'&00

)'()&

+&'&6"

)*')"+

66

0'*& × 0'1& × 2'&0 × 1'(0

0'6+1

0'0)&

+'*)&

0'0+(

"'1(*

)?)

0'*0 × 0'1& × 2'20 × 1'(0

0'&"&

0'0)&

0')00

0'0+0

0'")&

((

2'1& × 0'1& × 2'&0 × 1'(0

1'&+1

1'0)&

1'22&

1'&60

1')))

**

2'"& × 0'2& × 2'&0 × 1'(0

2'6++

"'*)&

+'")&

10'&10

11'&6(

10  10

1'*& × 0'2& × 2'&0 × 1'(0

2'1*+

0'*)&

+'")&

2'1"*

*'&**

122'0"*

11*'+0&

Q

"0'*(*

X CM

=

11*'+0& "0'*(*

="'(&" m


Y CM

=

122 '0"* "0'*(*

="'*"( m

1)


CENTRO DE MASAS Y DE RIGIDECES PRIMER PISO


1(


SEGUNDO PISO

1

2

"

0'2& 0'2&

0' *0

2 '0 0

1 '1 0

2' 00

1 '2&

0'2&

A

A

2'0)&

1'*2&

#

#

2'& 0

0'* 0 0'(& 0'* 0

2'" & 10'00

0'(& 1'10 C

C

2'&0

0'*0

0' *0

2 '" &

1'*2& 0'+&

2'0)&

D

D

0'*0


2'00

1'10

2'00

1'2&

0'2&

0'2&

0'2&

1

2

"

1*


RIGIDECES 7 SEGUNDO PISO

8 . * ) ) ( / * D

 m

( )

 h  3    

 h  4    

 h   h  3  + 4       

K X

3

3

M4ro

e (m)

11

10'00

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'002&

22

0'1&

2'&0

0'*0

('""

(&')"

*+'06

0'0016

""

0'1&

2'&0

1'10

6'(2

+6'*6

&"')(

0'002(

++

0'1&

2'&0

1'2&

6'00

"2'00

"('00

0'00"*

&&

10'00

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'002&

66

0'1&

2'&0

1'2&

6'00

"2'00

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0'00"*

))

0'1&

2'&0

1'10

6'(2

+6'*6

&"')(

0'002(

((

0'1&

2'&0

0'*0

('""

(&')"

*+'06

0'0016

**

0'1&

2'&0

2'&0

"'00

+'00

)'00

0'021+

1010

0'1&

2'&0

2'&0

"'00

+'00

)'00

0'021+

h

(m)


E

20


8 . * ) ) ( / * D

( m)

 m

( )

 h  3    

 h  4    

 h   h  3  + 4       

K X

3

3

M4ro

e ( m)

1111

2'0)&

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'000&

1212

0'1&

2'&0

2'"&

"'1*

+'(2

('01

0'01()

1"1"

0'1&

2'&0

2'"&

"'1*

+'(2

('01

0'01()

1+1+

2'0)&

2'&0

0'2&

"0'00

+000'00

+0"0'00

0'000&

1&1&

1'*2&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

1616

1'10

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

1)1)

0'1&

2'&0

0'+&

16'6)

6(&'()

)02'&+

0'0002

1(1(

1'*2&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

1*1*

0'1&

2'&0

0'(&

('(2

101'))

110'&*

0'001+

2020

0'1&

2'&0

0'(&

('(2

101'))

110'&*

0'001+

2121

0'1&

2'&0

0'+&

16'6)

6(&'()

)02'&+

0'0002

h


E

21


Y . * ) ) ( / * D

( )

 m

 h  3    

 h  4    

 h   h  3  + 4       

K X

( )

3

3

M4ro

e m

11

0'2&

2'&0

10'00

0')&

0'06

0'(1

0'"0(6

22

0'*0

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

""

1'10

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

++

1'2&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

&&

0'2&

2'&0

10'00

0')&

0'06

0'(1

0'"0(6

66

1'2&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

))

1'10

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

((

0'*0

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

**

2'&0

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

1010

2'&0

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

h

(m)


E

22


Y . * ) ) ( / * D

( m)

 m

 h  3    

 h  4    

 h   h  3  + 4       

K X

( )

3

3

M4ro

e ( m)

1111

0'2&

2'&0

2'0)&

"'61

)'00

10'61

0'02"6

1212

2'"&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0001

1"1"

2'"&

2'&0

0'1&

&0'00

1('&1('&2

1(&6('&2

0'0001

1+1+

0'2&

2'&0

2'0)&

"'61

)'00

10'60

0'02"6

1&1&

0'1&

2'&0

1'*2&

"'*0

(')6

12'66

0'011(

1616

0'1&

2'&0

1'10

6'(2

+6'*6

&"')(

0'002(

1)1)

0'+&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

1(1(

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2'&0

1'*2&

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12'66

0'011(

1*1*

0'(&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

2020

0'(&

2'&0

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&0'00

1(&1('&2

1(&6('&2

0'0000

2121

0'+&

2'&0

0'1&

&0'00

1(&1('&2

1(&6('&2

0'0000

h


E

2"


CENTRO DE RIGIDECES 9 SEGUNDO PISO

M/0

:8 ;E

: Y ;E

Y (m)

8 (m)

(:8 ;E)<

(: Y ;E)=

11

0'002&

0'"0(6

&'0000

0'12&

0'012&

0'0"(6

2?2

0'0016

0'0000

*'*2&0

0')00

0'01&*

0'0000

""

0'002(

0'0000

*'*2&0

"')00

0'02)(

0'0000

++

0'00"*

0'0000

*'*2&0

)'12&

0'0"()

0'0000

&&

0'002&

0'"0(6

&'0000

)'()&

0'012&

2'+"02

66

0'00"*

0'0000

0'0)&0

)'12&

0'000"

0'0000

)?)

0'002(

0'0000

0'0)&0

"')00

0'0002

0'0000

((

0'0016

0'0000

0'0)&0

0')00

0'0001

0'0000

**

0'021+

0'0001

"'*2&0

1'&00

0'0(+0

0'0002

10  10

0'021+

0'0001

6'0)&0

1'&00

0'1"00

0'0002


2+


M/0

:8 ;E

: Y ;E

Y (m)

8 (m)

(:8 ;E)<

(: Y ;E)=

11  11

0'000&

0'02"6

('*62&

+'")&

0'00+&

0'10""

12 ? 12

0'01()

0'0001

6'0)&0

6'&)&

0'11"6

0'000)

1"  1"

0'01()

0'0001

"'*2&0

6'&)&

0'0)"+

0'000)

1+  1+

0'000&

0'02"6

1'0")&

+'")&

0'000&

0'10""

1&  1&

0'0001

0'011(

)'112&

"')2&

0'000)

0'0++0

16 16

0'0000

0'002(

+'&&00

&'+)&

0'0000

0'01&"

1) ? 1)

0'0002

0'0000

2'0000

+'02&

0'000+

0'0000

1(  1(

0'0001

0'011(

2'(()&

"')2&

0'000"

0'0++0

1*  1*

0'001+

0'0000

6'0)&0

+'0)&

0'00(&

0'0000

20  20

0'001+

0'0000

"'*2&0

+'0)&

0'00&

0'0000

2121

0'0002

0'0000

('0000

+'02&

0'0016

0'0000

Q

0'1062

0'6*12

0'&"10

2')(0&

X CR

=

2')(0& 0'6*12

=+'02" m


Y CR

=

0'&"10 0'1062

=& '000 m

2&


CENTRO DE MASAS 9 SEGUNDO PISO

M/0

E&'*+*,*-

P&0(T)

Y (m)

8 (m)

PY

P8

11

10'00 × 0'2& × 2'&0 × 1'(0

11'2&0

&'000

0'12&

&6'2&0

1'+06

2?2

0'*0 × 0'1& × 2'&0 × 1'(0

0'60(

*'*2&

0')00

6'0"+

0'+26

""

1'10 × 0'1& × 2'&0 × 1'(0

0')+"

*'*2&

"')00

)'")+

2')+*

++

1'2& × 0'1& × 2'&0 ×1'(0

0'(++

*'*2&

)'12&

('"))

6'01+

&&

10'00 × 0'2& × 2'&0 × 1'(0

11'2&0

&'000

)'()&

&6'2&0

(('&*+

66

1'2& × 0'1& × 2'&0 ×1'(0

0'(++

0'0)&

)'12&

0'06"

6'01+

)?)

1'10 × 0'1& × 2'&0 × 1'(0

0')+"

0'0)&

"')00

0'0&6

2')+*

((

0'*0 × 0'1& × 2'&0 × 1'(0

0'60(

0'0)&

0')00

0'0+6

0'+26

**

2'&0 × 0'1& × 2'&0 × 1'(0

1'6((

"'*2&

1'&00

6'62&

2'&"2

10  10

2'&0 × 0'1& × 2'&0 × 1'(0

1'6((

6'0)&

1'&00

10'2&&

2'&"2


26


M/0

E&'*+*,*-

P&0(T)

Y (m)

8 (m)

PY

P8

11  11

2'0)& × 0'2& × 2'&0 × 1'(0

2'""+

('*62&

+'")&

20'*1(

10'211

12 12

2'"& × 0'1& × 2'&0 × 1'(0

1'&(6

6'0)&0

6'&)&

*'6"&

10'+2(

1"  1"

2'"& × 0'1& × 2'&0 × 1'(0

1'&(6

"'*2&0

6'&)&

6'22&

10'+2(

1+  1+

2'0)& × 0'2& × 2'&0 × 1'(0

2'""+

1'0")&

+'")&

2'+22

10'211

1&  1&

1'*2& × 0'1& × 2'&0 × 1'(0

1'2**

)'112&

"')2&

*'2"*

+'("*

16  16

1'10 × 0'1& × 2'&0 ×1'(0

0')+"

+'&&00

&'+)&

"'"(1

+'06(

1)  1)

0'+& × 0'1& × 2'&0 × 1'(0

0'"0+

2'0000

+'02&

0'60(

1'22+

1(  1(

1'*2& × 0'1& × 2'&0 × 1'(0

1'2**

2'(()&

"')2&

"')&1

+'("*

1*  1*

0'(& × 0'1& × 2'&0 × 1'(0

0'&)+

6'0)&0

+'0)&

"'+()

2'""*

20  20

0'(& × 0'1& × 2'&0 × 1'(0

0'&)+

"'*2&0

+'0)&

2'2&"

2'""*

2121

0'+& × 0'1& × 2'&0 × 1'(0

0'"0+

('0000

+'02&

2'+"2

1'22+

21&'6(1

1)'&*2

Q

+"'20"

X CM

=

1)&'&*2 +"'20"

= +'06+ m


Y CM

=

21& '6(1 +" '20"

=+ '**2 m

2)


CENTRO DE MASAS Y DE RIGIDECES SEGUNDO PISO


2(



2*


CORRECCI6N POR TORSI6N> C5LCULO DEL MOMENTO POLAR DE INERCIA Y C5LCULO DE LOS CORTANTES FINALES El momeno olar de 3ner3a

J =

ECENTRICIDAD

.r3mer 3!o Seg4ndo 3!o

e

K y

∑ E X + ∑ K E Y 2

x

2

= e x + e y

e x

= xCM − xCR

e y

= y CM − y CR

e x

= 3.853 − 3.962 = −0.109m

e y

= 3.938 − 4.495 = −0.557 m

e x

= 4.064 − 4.023 = 0.041m

e y

= 4.992 − 5.000 = −0.008 m

Se e7ala el Momeno Tor!or en ada n37el 9 ara ada d3re3n del !3!mo' M Ti

= ± F i e

L4ego 5allamo! lo! 3nremeno! de B4erFa 5or3Fonal de:3do al Momeno Tor!or M t

8 T F ix = M txi

F iy T = M tyi

K ix ( Y i - Y CR ) J

K iy ( X i - X CR ) J

$3nalmene !e e7ala la B4erFa orane oal en ada m4ro' Genaro Delgado Conrera!

"0


# i

= # trs!"ión + ∆ # torsión

CR enro de r3g3dee! del enre3!o' CM enro de ma!a del enre3!o' A on3n4a3n re!enaremo! lo! >l4lo! ara lo! Momeno! Tor!ore!'

C5LCULO DE MOMENTOS TORSORES PRIMER PISO

e9 = e9 = 0'&&)m e9 = 0'0& # = 0'0&  *'00 = 0'+&m e = e = 0'10*m e = 0'0& # = 0'0&  ('00 = 0'+m M1 = $1 e9 = 1*1+*')*+* /0'&&) = 10666'++-g!' M2 = $1 e9 = 1*1+*')*+* /0'+& = (61)'+1-g!' M91 = $1 e = 1*1+*')*+* /0'10* = 20()'""-g!' Genaro Delgado Conrera!

"1


M92 = $1 e = 1*1+*')*+* /0'+ = )6&*'*2-g!'

SEGUNDO PISO e9 = e9 = 0'00(m e9 = 0'0& # = 0'0&  *'00 = 0'+&m e = e = 0'0+1m e = 0'0& # = 0'0&  ('00 = 0'+m M1 = $1 e9 = ++61+'*6(( /0'00( = "&6'*2-g!' M2 = $1 e9 = ++61+'*6(( /0'+& = 200)6')+-g!' M91 = $1 e = ++61+'*6(( /0'0+1 = 1(2*'21-g!' M92 = $1 e = ++61+'*6(( /0'+ = 1)(+&'**-g!


"2

DISEÑO ESTRUCTURAL DE UNA VIVIENDA ECONÓMICA DE 160m2

CORRECCI6N POR TORSI6N 9 PRIMER PISO D*/*- 8 ( Kx / E )

= y - y CR

M4ro

Kx / E

11

0'0022

10&"'2+

+'&

0'00&

0'0000

0'0000

0'00

0'00

10&"'2+

22

0'021+

102+&'1+

&'0)&

0'&(

0'012+

0'00)2

1&'(0

12'))

102&)'*1

""

0'00*

+"0(')0

&'0)&

0'&(

0'00&2

0'00"

6'6"

&'"&

+"1+'06

++

0'000&

2"*'")

)'0)&

0'&(

0'000"

0'0002

0'"(

0'"1

2"*'6(

&&

0'0022

10&"'2+

+'&

0'00&

0'0000

0'0000

0'00

0'00

10&"'2+

66

0'001*

*0*'62

0'0)&

+'+2

0'00(+

0'0")1

10')0

('6&

*20'"2

))

0'0016

)6&'**

0'0)&

+'+2

0'00)1

0'0"1"

*'0&

)'"1

))&'0+

((

0'0001

+)'()

1'0)&

"'+2

0'000"

0'0012

0'"(

0'"1

+('26

**

0'0006

2()'2&

"'*)&

0'&2

0'000"

0'0002

0'"(

0'"1

2()'6"

1010

0'000&

2"*'")

0'*)&

"'&2

0'001(

0'0062

2'2*

1'(&

2+1'6)

Σ Kx / E

( F 1 )

0'0+ $1 = 1*1+*')*+(* -g M1 = 10666'++ -g M2 = (61)'+1-g

y( m)

Y

( Kx / E )Y

 J =

( Kx / E )Y

0'0(6+ K y

∑ E X + ∑ K E Y 2

x

2

=

2

( Kx / EJ )Y M ' tx1 ( Kx / EJ )Y M ' ' tx 2

V /B3nal



('")0*


""


D3re3n  M4ro

Ky / E

( Ky / E ) ( F ) Σ Ky / E 1

x(m)

11

0'2)1)

(&22'&2

0'12&

"'(")

1'0+2&

+'0001

2&*'*6

*&"'*)

()(2'+(

22

0'0001

"'1+

1'&00

2'+62

0'0002

0'0006

0'06

0'2"

"'20

""

0'0001

"'1+

&'")&

1'+1"

0'0001

0'0002

0'0+

0'1"

"'2)

++

0'0000

0'00

)'+&

"'+((

0'0000

0'0000

0'00

0'00

0'00

&&

0'2)1)

(&22'&2

)'()&

"'*1"

1'06"2

+'1602

26&'11

*)2'(6

*+*&'"(

66

0'0000

0'00

+'*)&

1'01"

0'0000

0'0000

0'00

0'00

0'00

))

0'0000

0'00

0')

"'262

0'0000

0'0000

0'00

0'00

0'00

((

0'01&"

+)*'*2

1'22&

2')")

0'0+1*

0'11+6

10'++

"('"2

+*0'"6

**

0'0"12

*)('66

+'")&

0'+1"

0'012*

0'00&"

"'21

11')*

**0'+&

1010 0'020+

6"*'(*

+'")&

0'+1"

0'00(+

0'00"&

2'10

)')1

6+)'60

0'610& $ = 1*1+*')*+(* -g M19 = 20()'""-g M29 = )6&*'*2-g

X

= x - xCR



( Ky / E ) X

2

( Ky / E ) X

('2(+&

( Ky / EJ ) X M ' ty1 ( Ky / EJ ) X M ' ' ty 2

V /B3nal



, = ('")0*


"+


CORRECCI6N POR TORSI6N 9 SEGUNDO PISO

D3re3n  ( Kx / E )

y( m)

Y = y - y CR

( Kx / E )Y

10&0'26

&'000

0'000

0'0000

0'0000

0'00

0'00

10&0'26

0'0016

6)2'1)

*'*2&

+'*2&

0'00)*

0'0"((

0'2*

16'1+

6(('"0

""

0'002(

11)6'2*

*'*2&

+'*2&

0'01"(

0'06)*

0'&0

2('2+

120+'&"

++

0'00"*

16"('+0

*'*2&

+'*2&

0'01*2

0'0*+6

0')0

"*'""

16))')"

&&

0'002&

10&0'26

&'000

0'000

0'0000

0'0000

0'00

0'00

10&0'26

66

0'00"*

16"('+0

0'0)&

+'*2&

0'01*2

0'0*+6

0')0

"*'""

16"*'10

))

0'002(

11)6'2*

0'0)&

+'*2&

0'01"(

0'06)*

0'&0

2('2+

11)6')*

((

0'0016

6)2'1)

0'0)&

+'*2&

0'00)*

0'0"((

0'2*

16'1+

6)2'+&

**

0'021+

(**0'21

"'*2&

1'0)&

0'02"0

0'02+)

0'(+

+)'11

(**1'0&

1010

0'021+

(**0'21

6'0)&

1'0)&

0'02"0

0'02+)

0'(+

+)'11

*0")'"2

M4ro

Kx / E

11

0'002&

22

Σ Kx / E

( F 2 )

( Kx / E )Y

2

( Kx / EJ )Y M 'tx1 ( Kx / EJ )Y M ' ' tx 2

V /B3nal

0'6+ $2 = ++61+'*) -g M1 = "&6'*2-g M2 = 200)6')+-g

, = *'(0+*


"&


D3re3n  ( Kx / E )

= y - y CR

M4ro

Kx / E

1111

0'000&

210'0&

('*62&

"'*62&

0'0020

0'00)*

0'0)

+'06

21+'11

1212

0'01()

)(&&'*"

6'0)&0

1'0)&0

0'0201

0'0216

0')"

+1'16

)(*)'0*

1"1"

0'01()

)(&&'*"

"'*2&0

1'0)&0

0'0201

0'0216

0')"

+1'16

)(&6'66

1+1+

0'000&

210'0&

1'0")&

"'*62&

0'0020

0'00)*

0'0)

+'06

210'12

1&1&

0'0001

+2'01

)'112&

2'112&

0'0002

0'000+

0'01

0'+"

+2'++

1616

0'0000

0'00

+'&&00

0'+&00

0'0000

0'0000

0'00

0'00

0'00

1)1)

0'0002

(+'02

2'0000

"'0000

0'0006

0'001(

0'02

1'2"

(+'0+

1(1(

0'0001

+2'01

2'(()&

2'112&

0'0002

0'000+

0'01

0'+"

+2'02

1*1*

0'001+

&(('1+

6'0)&0

1'0)&0

0'001&

0'0016

0'0&

"'0(

&*1'2"

2020

0'001+

&(('1+

"'*2&0

1'0)&0

0'001&

0'0016

0'0&

"'0(

&(('20

2121

0'0002

(+'02

('0000

"'0000

0'0006

0'001(

0'02

1'2"

(&'2&

Σ Kx / E

0'1062 $2 = ++61+'*)-g M1 = "&6'*2-g M2 = 200)6')+-g

( F 2 )

Y

y ( m)



( Kx / E )Y

( Kx / E )Y

0'&1((

2

( Kx / EJ )Y M 'tx1 ( Kx / EJ )Y M ' ' tx 2

V /B3nal



, = *'(0+*


"6


D3re3n  M4ro

Ky / E

( Ky / E ) ( F ) Σ Ky / E 2

y( m)

11

0'"0(6

1**1*'2+

0'12&

"'(*(

1'202*

+'6(*0

22+'+2

21(*'+&

201+"'66

22

0'0000

0'00

0')00

"'"2"

0'0000

0'0000

0'00

0'00

0'00

""

0'0000

0'00

"')00

0'"2"

0'0000

0'0000

0'00

0'00

0'00

++

0'0000

0'00

)'12&

"'102

0'0000

0'0000

0'00

0'00

0'00

&&

0'"0(6

1**1*'2+

)'()&

"'(&2

1'1(()

+'&)*0

221'))

216"'61

220(2'(&

66

0'0000

0'00

)'12&

"'102

0'0000

0'0000

0'00

0'00

0'00

))

0'0000

0'00

"')00

0'"2"

0'0000

0'0000

0'00

0'00

0'00

((

0'0000

0'00

0')00

"'"2"

0'0000

0'0000

0'00

0'00

0'00

**

0'0001

6'+&

1'&00

2'&2"

0'000"

0'0006

0'0&

0'+6

6'&0

1010 0'0001

6'+&

1'&00

2'&2"

0'000"

0'0006

0'0&

0'+6

6'&0

$ = ++61+'*)-g M19 = 1(2*'21-g M29 = 1)(+&'**-g

X

= x - x CR

( Ky / E ) X

2

( Ky / E ) X

( Ky / EJ ) X M ' ty1 ( Ky / EJ ) X M ' ' ty 2

V /B3nal

, = *'(0+*


")


D3re3n  ( Ky / E ) ( F ) Σ Ky / E 2

y( m)

1111 0'02"6

1&2"'"1

('*62&

0'"&2

0'00("

0'002*

1'&&

1&'12

1&"('+"

1212 0'0001

6'+&

6'0)&0

2'&&2

0'000"

0'000)

0'0&

0'+6

6'6&

1"1" 0'0001

6'+&

"'*2&0

2'&&2

0'000"

0'000)

0'0&

0'+6

6'6&

1+1+ 0'02"6

1&2"'"1

1'0")&

0'"&2

0'00("

0'002*

1'&&

1&'12

1&"('+"

1&1& 0'011(

)61'66

)'112&

0'2*(

0'00"&

0'0010

0'66

6'+0

)62'"1

1616 0'002(

1(0')"

+'&&00

1'+&2

0'00+1

0'00&*

0')6

)'+0

1(('1"

1)1) 0'0000

0'00

2'0000

0'002

0'0000

0'0000

0'00

0'00

0'00

1(1( 0'011(

)61'66

2'(()&

0'2*(

0'00"&

0'0010

0'66

6'+0

)62'"1

1*1* 0'0000

0'00

6'0)&0

0'0&2

0'0000

0'0000

0'00

0'00

0'00

2020 0'0000

0'00

"'*2&0

0'0&2

0'0000

0'0000

0'00

0'00

0'00

2121 0'0000

0'00

('0000

0'002

0'0000

0'0000

0'00

0'00

0'00

M4ro

Ky / E

0'6*12 $ = ++61+'*)-g M19 = 1(2*'21-g M29 = 1)(+&'**-g

X

= x - xCR



( Ky / E ) X

2

( Ky / E ) X

*'2(++

( Ky / EJ ) X M ' ty1 ( Ky / EJ ) X M ' ' ty

V /B3nal



, = *'(0+*


"(



"*


PESO ACUMULADO ?UE RECIBEN LOS MUROS (CARGA MUERTA) MURO 1 9 1 PRIMER PISO .e!o de 73ga !olera ( 2+00'00 × *'00 × 0'2& × 0'20) = 10(0'00 .e!o de lo!a ×2 '&& ×+00

= 20+0 '00

$

2 '00

%

"'&& ×

"'()& × +00 2

= 2)&1 '2&

H

( 2'00 ×1'*0 ) × +00

= 1&20 '00 = &)*1 '2&

SEGUNDO PISO E! 3g4al al r3mero A4m4lado

&)*1'2& + 10(0'00

= 6()1 '2& kg

2 × 6()1 '2&

=1")+2 '&kg

La Fona de e!alera !e 5a on!3derado omo lo!a ara omen!ar el e!o de e!alera'

MURO ! 9 !

&

C

D

"'12& × +00 2 "'2& × +00 1'*0 × 2 "'2& × 2'&& × +00 2 "'&& ×

V3ga !olera

2+00 '00 × *'00 × 0'2& × 0'20

.e!o oal

&111'2& + 10(0'00

= 221( ')&

= 12"& '00

= 16&) '& = &111'2& = 10(0'00 = 61*1 '2&

Seg4ndo 3!o 3g4al al r3mero .e!o a4m4lado

61*1 '2& × 2


= 12"(2'&0 kg

+0


MURO % 9 % V3ga !olera Lo!a

× ( 2+00 '00 × 2'"& × 0'2& × 0'20 ) = &6+ '00 2 × ( +00 × ( 2'00 + 1'62&) × 1'*0 ) = &&10 '00 2

= 60)+ '00 MURO 1@ 9 1@ V3ga !olera Lo!a

× ( 2+00'00 ×1'*& × 0'2& × 0'20 ) = +6('00 2 × ( +00 × ( 2'00 + 1'62&) × 2'&&) = )"*& '00 2

= )(6" '00


+1


C5LCULO DE ESFUERZOS DE COMPRESI6N POR CARGA MUERTA PRIMER PISO P&0 M/0

5/,

,m,40

(m2)

4 0&,

5/, ,m,4, 4 0&,

( P 2 ) ()

( d

=

P 1 + P 2 're

 kg    "m   2

( P ) () 1

11

22&00'00

1")+2'&

1012&'00 + 12&0'00 = 21")&'00

1'&6

22

")&0'00



16(('00 + 16(('00 = "")6'00

0'*0

""

262&'00



11(1'00 + &+0 = 1)21'00

0'66

++

*00'00



+0&'00 + +0&'00 = (10'00

0'*0

&&

22&00'00

12"(2'&0

1012& '00 + 112&0'00 = 21")& '00

1'&0

66

1+2&'00



6+1'00

0'+&

))

1"&0'00



&"&'00

0'+0

((

"22&'00



1+&1'00

0'+&

**

&")&'00

60)+'00

2+1*'00

1'&(

1010

&")&'00

)(6"'00

2+1*'00 + 1"&0'00 = ")6*'00

2'16


+2


SEGUNDO PISO 5/,

5/,

P&0 ,m,40 4 0&,

(m2)

( P ) ()

11

2&000'00

6()1'2&

112&0'00

0')2

22

1"&0'00



60('00

0'+&

""

16&0'00



)+"'00

0'+&

++

1()&'00



(++'00

0'+&

&&

2&000'00

61*1'2&

112&0'00

0')0

66

1()&'00



&++'00

0'+&

))

16&0'00



)+"'00

0'+&

((

1"&0'00



60('00

0'+&

**

")&0'00



16(('00

0'+&

1010

")&0'00



16(('00

0'+&

1111

&1()'&0

2""+'00

1'0"

1212

"&2&'00



1&(6'00

0'+&

1"1"

"&2&'00



1&(6'00

0'+&

1+1+

&1()'&0

2""+'00

1'0"

1&1&

2(()'&0



12**'00

0'+&

1616

16&0'00



)+"'00

0'+&

1)1)

6)&'00



"0+'00

0'+&

1(1(

2(()'&0



12**'00

0'+&

1*1*

12)&'00



&)+'00

0'+&

2020

12)&'00



&)+'00

0'+&

2121

6)&'00



"0+'00

0'+&

M/0

1

2'0)& × +00 ( "'62& )

2'0)& × +00 ( "'62& )


= "00( ')&

= "00( ')&

,m,4, 4 0&, ( P 2 ) ()

( d

=

P 1 + P 2 're

 kg     "m  2

+"



++


CHE?UEO AL CORTE

PRIMER PISO

M/0

A 0/> A m2

D*/*- 8 V (:) +  V (:;m2)

D*/*- Y V (:) +  V (:;m2)

1?1

22&00'00

10&"'2+

0'0&

()(2'+(

0'"*

2?2

")&0'00

102&)'*1

2')+

"'20

0'00

"?"

262&'00

+"1+'06

1'6+

"'2)

0'00

+?+

*00'00

2"*'6(

0'2)

0'00

0'00

&?&

22&00'00

10&"'2+

0'0&

*+*&'"(

0'+2

6?6

1+2&'00

*20'"2

0'6&

0'00

0'00

)?)

1"&0'00

))&'0+

0'&)

0'00

0'00

(?(

"22&'00

+('26

0'01

+*0'"6

0'1&

*?*

&")&'00

2()'6"

0'0&

**0'+&

0'1(

10 ? 10

&")&'00

2+1'6)

0'0+

6+)'60

0'12


+&


SEGUNDO PISO A 0/> A

M/0

m2

D*/*- 8 V (:) +  V (:;m2)

D*/*- Y V (:) +  V (:;m2)

1?1

2&000'00

10&0'26

0'0+

201+"'66

0'(1

2?2

1"&0'00

6(('"0

0'&1

0'00

0'00

"?"

16&0'00

120+'&"

0')"

0'00

0'00

+?+

1()&'00

16))')"

0'(*

0'00

0'00

&?&

2&000'00

10&0'26

0'0+

220(2'(&

0'((

6?6

1()&'00

16"*'10

0'()

0'00

0'00

)?)

16&0'00

11)6')*

0')1

0'00

0'00

(?(

1"&0'00

6)2'+&

0'&0

0'00

0'00

*?*

")&0'00

(**1'0&

2'+0

6'&0

0'00

10 ? 10

")&0'00

*0")'"2

2'+1

6'&0

0'00

11 ? 11

&1()'&0

21+'11

0'0+

1&"('+"

0'"0

12 ? 12

"&2&'00

)(*)'0*

2'2+

6'*2

0'00

1" ? 1"

"&2&'00

)(&6'66

2'2"

6'*2

0'00

1+ ? 1+

&1()'&0

210'12

0'0+

1&"('+"

0'"0

1& ? 1&

2(()'&0

+2'++

0'01

)62'"1

0'26

16 ? 16

16&0'00

0'00

0'00

1(('1"

0'11

1) ? 1)

6)&'00

(+'0+

0'12

0'00

0'00

1( ? 1(

2(()'&0

+2'02

0'01

)62'"1

0'26

1* ? 1*

12)&'00

&*1'2"

0'+6

0'00

0'00

20 ? 20

12)&'00

&(('20

0'+6

0'00

0'00

21 ? 21

6)&'00

(&'2&

0'1"

0'00

0'00


+6


PRIMER PISO

M/0

+4

+

+ 

O&. O-

1?1

1'&6

0'"*

1'+(

2?2

0'*0

2')+

1'"6

"?"

0'66

1'6+

1'"2

+?+

0'*0

0'2)

1'"6

O-

&?&

1'&0

0'+2

1'+)

O-

6?6

0'+&

0'6&

1'2(

O-

)?)

0'+0

0'&)

1'2)

O-

(?(

0'+&

0'1&

1'2(

O-

*?*

1'&(

0'1(

1'+(

O-

10 ? 10

2'16

0'12

1'&*

O-


+)


SEGUNDO PISO

M/0

+4

+

+ 

O&.

1?1

0')2

0'(1

1'""

O-

2?2

0'+&0

0'&1

1'2(

O-

"?"

0'+&

0')"

1'2(

O-

+?+

0'+&

0'(*

1'2(

O-

&?&

0')0

0'((

1'""

O-

6?6

0'+&

0'()

1'2(

O-

)?)

0'+&

0')1

1'2(

O-

(?(

0'+&

0'&0

1'2(

O-

*?*

0'+&

2'+0

1'2(

10 ? 10

0'+&

2'+1

1'2(

11 ? 11

1'0"

0'"0

1'"*

12 ? 12

0'+&

2'2+

1'2(

1" ? 1"

0'+&

2'2"

1'2(

1+ ? 1+

1'0"

0'"0

1'"*

O-

1& ? 1&

0'+&

0'26

1'2(

O-

16 ? 16

0'+&

0'11

1'2(

O-

1) ? 1)

0'+&

0'12

1'2(

O-

1( ? 1(

0'+&

0'26

1'2(

O-

1* ? 1*

0'+&

0'+6

1'2(

O-

20 ? 20

0'+&

0'+6

1'2(

O-

21 ? 21

0'+&

0'1"

1'2(

O-

O-

DISEO DE ELEMENTOS DE CONFINAMIENTO Genaro Delgado Conrera!

+(


PRIMER PISO ELEMENTO 171 (D*/*- Y) Como !e 4ede 7er del lano de lo!a al3gerada8 el m4ro 11 3ene 7ar3o! aJo! onB3nado!' De la! a:la! de Corre3n or or!3n enemo! lo! !3g43ene! re!4lado! Corre3n en D3re3n  Corre3n en D3re3n 

10&"'2+-g' ()(2'+(-g'

Tra:a;amo! on el ma! de!Ba7ora:le 4e e! en la d3re3n 8 9 3ene omo 7alor ()(2'+(-g'

Voal= ()(2'+( Pg!'

1

0'2&

.aJo 1= "'0& m .AÑO "

"'&&

.aJo 2= 2'1& m .aJo "= "'(0 m MURO *'00m

0'2&

10'00 m

.AÑO 2

1'*0

V1=()(2'+"'0&*'00 V1=2*)6'26 Pg!'

0'2&

V2=20*('02 Pg!'

.AÑO 1

2'&&

0'2&

V2=()(2'+2'1&*'00 V"=()(2'+"'(0*'00 V"=")0('12 Pg!'

1'00

1


+*


AREA MNIMA DE CONCRETO PARA SECCIONES DE VIGAS Y COLUMNAS VIGAS .aJo 1 =

Ac

V1=2*)6'26 Pg!'

0.9V

=0'*  2*)6'26

f ' c

210

=1(+'(+ m2 />rea de onreo mHn3ma

Del lano de e!r44ra! !e omar>n 73ga! de 0'2&  0'20 m .ara 73ga! 5allamo! la B4erFa de ra3n 4e !oorar> la !olera

= V m1

T S

m 2 

2.55  = ( 2976.26)   = 379.47  2 ×10.00 

A5ora al4laremo! el >rea del aero long34d3nal de la !olera

Del lano de e!r44ra! la 73ga e! de 0'2&  0'20 AS

=

T S φ f y

=

379.47

( 0.9 )( 4200 )

= 0.10 ≥

0'1 ( " ′ %"s ( y

=

0'1( 210)( 0'20 × 0'2& ) +200

=

0'0002&

⇒ 0.10 ≥ 0.00025 SegIn el RNE el aero mHn3mo e! de +

(mm8 en n4e!ro a!o 43l3Faremo! +

"(L or !er 7ar3lla omer3al'

E!r3:o! de 73ga' Segn el RNE en la! !olera! !e oloar> e!r3:o! mHn3mo! [ ] 6mm8 1U &8 +U 108 r U 2&m' Al no !er omer3al el aero de 6mm8 43l3Faremo! aero =1+L'

La 73ga !olera del m4ro AA !er>

Aero long34d3nal +  "( K E!r3:o! W X K 1 0'0&m8 + 0'10m Re!o  0'2&m .aJo2

V2=20*('02 Pg!'


&0


=

Ac

0.9V

=0'*  20*('02

f ' c

210

=1"0'"0 m2 />rea de onreo mHn3ma


= V m1

T S

m 2 

1.90  = ( 2098.02 )   = 199.31  2 ×10.00 



=

T S φ f y

=

199.31

( 0.9 )( 4200 )

0'1 ( " ′ %"s

= 0.053 ≥

( y

=

0'1( 210)( 0'20 × 0'2& ) +200

=

0'0002&






Aero long34d3nal +  "( K E!r3:o! W X K 1 0'0&m8 + 0'10m Re!o  0'2&m

.aJo" Ac

=

V"=")0('12 Pg!'

0.9V

f ' c

=0'*  ")0('12


210

=2"0'"0 m2 />rea de onreo mHn3ma &1



= V m1

T S

m 2 

3.55  = ( 3708.12)   = 658.19 2 10 . 00 ×  



=

T S φ f y

=

658.19

( 0.9 )( 4200 )

= 0.174 ≥

0'1 ( " ′ %"s ( y

=

0'1( 210)( 0'20 × 0'2& ) +200

=

0'0002&






Aero long34d3nal +  "( K E!r3:o! W X K 1 0'0&m8 + 0'10m Re!o  0'2&m

COLUMNAS Col4mna! 4e e!>n en el e;e 1 ? 1


&2

149935814-Parte-2.pdf

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