Excel para diseño por cortantes de vigas

DISEÑO POR CORTANT DATOS DE ENTRADA

B

VP5 (0.30*0.45)- TRAMO 2-3

Denominación Ancho (b) Peralte (h) Recubrimiento (rec) '1eor etribo (6') '1eor fierro (6 ,)

30.0 cm 45.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 3!."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* +,-#&* D'*R-P-& AP&/& 2 #omento u1erior %.39 nm

AP&/& 3 !.49 nm

#omento inferior

%.54 nm

0.!9 nm

ortante e ieo ortante -<=uiero (8AB) ortante Derecho (8BA) 6e 3/8"

e 0.95 cm

-ottico 222!.3 n 222!.3 n 222!.3 n 222!.3 n Av 0."% cm7

2229. n

%.42 m

8u cara 

2229. n A

Vud =

1615.41 Tn

∅ Vc =

7.60 Tn

:8c ; 2 

3.!0 n

B

%.4% m %.4% %.4% m %.42 m

Verifcci!" Verifcci!" #e c$r%"%e &'i&$ Vc 1 V ≤ 2.2 6c * 78 * # 2.%2 >f?c @ b @  8u ; :  8c C 8

35."4 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E

V"  Vc / 2 o re=uiere etribo 1or cortante (en teora)

Tr&$ C - D

Vc / 2  V"  Vc Re=uiere refuer
6e  3; 3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en en

ortante =ue ab ortante =ue ab ortante nominal 8n  8 C 8c

Tr&$ A - B - C

8  %2 %2.%" n %.0 >f?c @b@  %" %".!" n 2.%2 >f?c @b@  35 35."4 n

V"  Vc

ao %E ao 2E ao 3E

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

%.4% m %.4% %.4% m %.42 m


35."4 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3; 3;!F Av  0."% cm7 A mn  %.42 cm7



Tr&$ A - B - C

8  %2 %2.%" n %.0 >f?c @b@  %" %".!" n 2.%2 >f?c @b@  35 35."4 n

V"  Vc

ao %E ao 2E ao 3E

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

+ar ao % 

* (cm)  Av @ KL @  ; 8 %9.00


Di%"ci : e+rci$"e ,%i&# Mona e conNnamiento (2h)

;0.0 c&

Ditancia al 1rimer etribo

0.0 c&

'1aciamiento mGimo en
%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  2229. n

A A6

8u  %%5.4% n n 8u <.c.  !%2.% n ∅ Vc rec = %".94

n

: 8c;2 8c;2  3.!0 n n 0.39 0.39 m 2h  0.90 %.40 m %.4% m %.42 m

'1aciamiento Ditancia teór. Ditancia neta

%0.0 cm %0.0 cm %0.0 cm

'1aciamiento antia

%0.0 cm %

+ar 3;!F

%5.0 cm 29.0 cm

%5.0 cm 5%.0 cm !0.0 cm

%5.0 cm 

% O %0 cm  O %5 cm Rto. O %".5 cm A;'

O+%i&i<ci!" +r e, #ie=$ >&ic$ '1aciamiento antia +ar 3;!F

%0.0 cm % % O %0 cm

%5.0 cm 6

 O %5 cm

5.0 c& ?.5 c&


B

VP@ (0.30*0.30)- TRAMO 3-4

Denominación Ancho (b) Peralte (h) Recubrimiento (rec) '1eor etribo (6') '1eor fierro (6,)

30.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm 23."! cm

Peralte efectivo () #enor iametro Barra $b(cm)

%.9% cm

#&#'&* +,-#&* D'*R-P-& AP&/& 3 #omento u1erior !.49 nm #omento inferior %.54 nm


e 0.95 cm

AP&/& 4 0."% nm 0.42 nm

-ottico %3500.00 n %3500.00 n %3500.00 n %3500.00 n Av 0."% cm7

%350%."! n

2.50 m

8u cara 

%350%."! n A

Vud =

12205.78 Tn

∅ Vc =

4.66 Tn

:8c ; 2 

2.33 n

B

  0.24 m 2.50 m 2.50 m 2.50 m

Verifcci!" #e c$r%"%e &'i&$ Vc 1 V ≤ 2.2 6c * 78 * # 2.%2 >f?c @ b @  8u ; :  8c C 8

2%.92 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

V"  Vc

8  %2.!9 n %.0 >f?c @b@  %0.9 n 2.%2 >f?c @b@  2%.92 n

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

ao %E ao 2E ao 3E

+ar ao  2

* (cm)  Av @ KL @  ; 8 %%.00



@0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  %350%."! n

A A6

8u  %2205."! n 8u <.c.  %02%."! n ∅ Vc rec = %5.2

n

: 8c;2  2.33 n 0.24 m 2h  0.0 2.50 m 2.50 m 2.50 m

Ditancia teór. Ditancia neta

%0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%4.0 cm

3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 4

4 O %5 cm

DATOS DE E

Ancho tribut. arQa (mCv) ,onQitu (,n) Reitencia oncreto (f?c) Reitencia Acero (fL) 6 cortante *itema 'tructural 1 Dual ti1o

4.17 m 1575.00 Tn/m

2.!3 m 2%0 Q;cm7 4200 Q;cm7 0.85

SSS 2 ; a1orticao

Ti1erettico %.03 n %.03 n

-3.32 Tn -3.32 Tn

8u

222;.@@ T" -222?.5; T"

2225.3 T" -223.;4 T"

%.4% m

222".59 n

8u cara  Vud =

C

∅ Vc =

D

:8c ; 2 

E

Verifcci!"

C$r%"%e #e, 8c  !.94 n 68c  ".0 n

8c ; 2  4.4" n 6 8c ; 2  3.!0 n

C$r%"%e #e,  mG  ;2  %9.39 cm  mG  0 cm

Tr&

 9 ;.00 c& 9

A &>" * : 3.5 78

Tr&

 9 5@.0 c&  mG  ;2  %9.39 cm  mG  0 cm

re etriboE

  %9.39 cm

 9 ;.00 c& V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"

rben lo etriboE rbe el concretoE =ue o1ortaE

V" 9 ?.;4 T" Tr&$

o @ I 8  2.%2 >fHc @ b @  @

+ar %  

%.0 2.%

* mG (cm) %9.39 0.00  

* (cm) %9.00

V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T"

'1eciNcacione en Mona e onNnamiento R'E a1. 2% Dual Dual --;Pórtico Primer etribo %0 cm 5 cm ;4 ó %5 cm ;4 o %5 cm %0 b ! b *o mG 24 e 24 e 30 cm 30 cm

8u cara  8u 

B

8u <.c.  ∅ Vc rec =

C

D

: 8c;2 

E

%9.0 cm 50.4 cm

%9.0 cm 0.9 cm 5%.3 cm

%9.0 cm 0.2 cm 0.2 cm

%".5 cm 3

%".5 cm Rto.

OK

%".5 cm Rto. Rto. O %".5 cm A;'


5.00 m 5400.00 Tn/m

5.00 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico %."! n %."! n

-0.45 Tn -0.45 Tn

8u

350.? T" -34;.22 T"

34;;.55 T" -3500.45 T"

2.50 m

%349!.22 n

C D E 2.2 m

8c  5.4! n 68c  4. n

8c ; 2  2."4 n 6 8c ; 2  2.33 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& 9

A &>" * : 3.5 78

 9 5@.0 c&  mG  ;2  %%.!9 cm  mG  0 cm

re etriboE

  %%.!9 cm

 9 .00 c& rben lo etriboE rbe el concretoE =ue o1ortaE

V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T" V" 9 5.@2 T"

o @ I 8  2.%2 >fHc @ b @  @

+ar  2 

* mG (cm)  %5

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T"


V" 9 5.@2 T"


B C

D E

%!9." cm

0.2 cm %90.0 cm

%0.0 cm %9

0.0 cm 0.0 cm

%0.0 cm Rto.

%0.0 cm Rto. Rto. O %0 cm A;'

OK

DISEÑO POR CORTANTE

TRADA

A B Denominación

VOADIO (0.25*0.30)- TRAMO 4-5

Ancho (b) Peralte (h) Recubrimiento (rec) '1eor etribo (6') '1eor fierro (6,)

25.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 23."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* +,-#&* D'*R-P-& AP&/& 4 #omento u1erior 0."% nm

AP&/& 5 0.2! nm

#omento inferior

0.09 nm

3/8"

*item Dual ti1o

0.42 nm

ortante e ieo ortante -<=uiero (8AB) ortante Derecho (8BA) 6e

Reitencia o Reitencia Ac 6 cortante

e 0.95 cm

-ottico %"%.00 n %"%.00 n %"%.00 n %"%.00 n

Ti1 0.42 n 0.42 n

Av 0."% cm7

%"%.42 n

0.95 m

%"%.42 n A 128.22 Tn 3.88 Tn

%.94 n

B C

0.93 m 0.94 0.94 m 0.95 m

e c$r%"%e &'i&$ Vc 1 V ≤ 2.2 6c * 78 * # 2.%2 >f?c @ b @  8u ; :  8c C 8

%!.2 n

N$ c&+,e

C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

Acer$ D - E


C - D

Vc / 2  V"  Vc Re=uiere Re=uiere refuer
9 9

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 

'1aciamiento entre etriboE

ortante =ue aborben lo etrib ortante =ue aborbe el concret ortante nominal =ue o1ortaE 8n  8 C 8c

-B-C

8  %2 %2.!9 n  >f?c @b@  9. 9.%3 n 2 >f?c @b@  %! %!.2 n

V"  Vc

ao %E ao 2E ao 3E

ao 8  %.0 >fHc @ b @  %.0 >fHc @ b @  I 8  2.%2 > 8 J 2.%2 >fHc @ b @ 

+ar ao  2

* (cm)  Av @ KL @  ; 8

*  %5

%%.00



@0.0 c&


0.0 c&

%5.0 %9.% 22.! 30.0

*o mG

'1eciNc R'E a1. 2% Primer etribo

*o mG

cm cm cm cm

5.0 c&

%"%.42 n

A A6

%2!.22 n

B

3.42 n %4.!4 n %.94 n 0.24 0.24 m 2h  0.0 0.!" m 0.94 m 0.95 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar +ar 3;!F 3;!F

%5.0 cm %4.0 cm

%5.0 cm 3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm cm 4 O %5 cm cm Rto Rto. O %0 cm A;' A;'

%%.0 cm 2".0 cm 3

%


5.0 c& ?.5 c& 20.0 c&

%0.0 cm %

% O %0 cm

%5.0 cm 4

4 O %5 cm

Ancho tribut. arQa (mCv) ,onQitu (,n)

180.00 Tn/m

ncreto (f?c) ro (fL)

2%0 Q;cm7 4200 Q;cm7

3.71 m

%.90 m

0.85

'tructural 1


rettico -0.37 Tn -0.37 Tn

8u

?.42 T" -?0.5 T"

?0.@3 T" -?.3? T"

0.95 m

%"0.5! n

D E

4.5" n 3.!! n

8c ; 2  2.2! n 6 8c ; 2  %.94 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& A &>" * : 3.5 78 @.@ c& %%.!9 cm 0 cm

  %%.!9 cm

 9 .00 c& V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"

Hc @ b @ 

+ar  2 

G (cm)

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"

cione en Mona e onNnamiento Dual Dual --;Pórtico %0 cm 5 cm ;4 ó %5 cm ;4 o %5 cm %0 b ! b 24 e 24 e 30 cm 30 cm

C

D E

%%.0 cm ".2 cm .2 cm

%%.0 cm %.% cm %.% cm

.0 cm 3

%0.0 cm Rto.

OK



B

VP5 (0.30*0.45)- TRAMO 2-3


30.0 cm 45.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 3!."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 2 #omento u1erior %.93 nm #omento inferior

%.4 nm


AP&/& 3 %%.33 nm

e 0.95 cm

3."% nm

-ottico 900".04 n 900".04 n 900".04 n 900".04 n Av 0."% cm7

9009.03 n

%.42 m

8u cara 

9009.03 n A

Vud =

6526.53 Tn

∅ Vc =

7.60 Tn

:8c ; 2 

3.!0 n

B

%.4% m %.4% m %.42 m


35."4 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

8  %2.%" n %.0 >f?c @b@  %".!" n 2.%2 >f?c @b@  35."4 n

V"  Vc

ao %E ao 2E ao 3E

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

+ar ao % 

* (cm)  Av @ KL @  ; 8 %9.00



;0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  9009.03 n

A A6

8u  52.53 n 8u <.c.  32!0.%" n ∅ Vc rec = %".94

n

: 8c;2  3.!0 n 0.39 m 2h  0.90 %.4% m %.4% m %.42 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm 29.0 cm

%5.0 cm 5%.0 cm !0.0 cm

%5.0 cm 

% O %0 cm  O %5 cm Rto. O %".5 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 6

 O %5 cm

5.0 c& ?.5 c&


B

VP@ (0.30*0.30)- TRAMO 3-4


30.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm 23."! cm


%.9% cm

#&#'&* +,-#&* D'*R-P-& AP&/& 3 #omento u1erior %%.33 nm #omento inferior 3."% nm


e 0.95 cm

AP&/& 4 0.33 nm 0.0 nm

-ottico 40%50.00 n 40%50.00 n 40%50.00 n 40%50.00 n Av 0."% cm7

40%52.2! n

2.50 m

8u cara 

40%52.2! n A

Vud =

36297.88 Tn

∅ Vc =

4.66 Tn

:8c ; 2 

2.33 n

B

  0.24 0.24 m 2.50 m 2.50 2.50 m 2.50 m


2%.92 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3; 3;!F Av  0."% cm7 A mn  %.42 cm7



Tr&$ A - B - C

V"  Vc

8  %2 %2.!9 n %.0 >f?c @b@  %0 %0.9 n 2.%2 >f?c @b@  2% 2%.92 n

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

ao %E ao 2E ao 3E

+ar ao  2

* (cm)  Av @ KL @  ; 8 %%.00



@0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  40%52.2! n

A A6

8u  329".!! n 8u <.c.  305%.2! n ∅ Vc rec = %5.2

n

: 8c;2 8c;2  2.33 n n 0.24 0.24 m 2h  0.0 2.50 m 2.50 m 2.50 m


%0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%4.0 cm

3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 4

4 O %5 cm

DATOS DE E


4.17 m 6365.40 Tn/m

2.!3 m 2%0 Q;cm7 4200 Q;cm7 0.85



-4.52 Tn -4.52 Tn

8u

;00;.03 T" -;005.05 T"

;002.52 T" -;0.5@ T"

%.4% m

9005.05 n

8u cara  Vud =

C

∅ Vc =

D

:8c ; 2 

E

Verifcci!"

C$r%"%e #e, 8c  !.94 n 68c  ".0 n

8c ; 2  4.4" n 6 8c ; 2  3.!0 n

C$r%"%e #e,  mG  ;2  %9.39 cm  mG  0 cm

Tr&

 9 ;.00 c& 9

A &>" * : 3.5 78

Tr&

 9 5@.0 c&  mG  ;2  %9.39 cm  mG  0 cm

re etriboE

  %9.39 cm

 9 ;.00 c& V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T" Tr&$

o @ I 8  2.%2 >fHc @ b @  @

+ar %  

%.0 2.%

* mG (cm) %9.39 0.00  

* (cm) %9.00

V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T"



B

8u <.c.  ∅ Vc rec =

C

D

: 8c;2 

E

%9.0 cm 5%.2 cm

%9.0 cm 0.2 cm 5%.5 cm

%9.0 cm 0.% cm 0.% cm

%".5 cm 3

%".5 cm Rto.

OK

%".5 cm Rto. Rto. O %".5 cm A;'


5.00 m 16060.00 Tn/m

5.00 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico 2.2! n 2.2! n

-0.81 Tn -0.81 Tn

8u

4052.2 T" -404?.?2 T"

404;.; T" -4050. T"

2.50 m

40%4"."2 n

C D E 2.2 m

8c  5.4! n 68c  4. n

8c ; 2  2."4 n 6 8c ; 2  2.33 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& 9

A &>" * : 3.5 78

 9 5@.0 c&  mG  ;2  %%.!9 cm  mG  0 cm

re etriboE

  %%.!9 cm


V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T" V" 9 5.@2 T"

o @ I 8  2.%2 >fHc @ b @  @

+ar  2 

* mG (cm)  %5

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T"


V" 9 5.@2 T"


B C

D E

%!9.9 cm

0.% cm %90.0 cm

%0.0 cm %9

0.0 cm 0.0 cm

%0.0 cm Rto.


OK


TRADA

A B Denominación

VOADIO (0.25*0.30)- TRAMO 4-5


25.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 23."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 4 #omento u1erior 0.33 nm

AP&/& 5 0.2" nm

#omento inferior

0.99 nm

3/8"

*item Dual ti1o

0.0 nm



e 0.95 cm

-ottico 342.00 n 342.00 n 342.00 n 342.00 n

Ti1 0.9 n 0.9 n

Av 0."% cm7

342.9 n

0.95 m

342.9 n A 256.29 Tn 3.88 Tn

%.94 n

B C

0.94 m 0.95 m 0.95 m


%!.2 n

N$ c&+,e

C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

Acer$ D - E


C - D

9 9

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



-B-C

8  %2.!9 n  >f?c @b@  9.%3 n 2 >f?c @b@  %!.2 n

V"  Vc

ao %E ao 2E ao 3E


+ar ao  2

* (cm)  Av @ KL @  ; 8

*  %5

%%.00



@0.0 c&


0.0 c&

%5.0 %9.% 22.! 30.0

*o mG


*o mG

cm cm cm cm

5.0 c&

342.9 n

A A6

25.29 n

B

%2.9 n %4.!4 n %.94 n 0.24 m 2h  0.0 0.9% m 0.95 m 0.95 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm %4.0 cm

%5.0 cm 3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'

%%.0 cm 3%.% cm 3

%


5.0 c& ?.5 c& 20.0 c&

%0.0 cm %

% O %0 cm

%5.0 cm 4

4 O %5 cm


360.00 Tn/m


2%0 Q;cm7 4200 Q;cm7

3.71 m

%.90 m

0.85

'tructural 1



8u

342.@; T" -34.3 T"

34.3 T" -342.? T"

0.95 m

34%.3% n

D E

4.5" n 3.!! n

8c ; 2  2.2! n 6 8c ; 2  %.94 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& A &>" * : 3.5 78 @.@ c& %%.!9 cm 0 cm

  %%.!9 cm

 9 .00 c& V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"

Hc @ b @ 

+ar  2 

G (cm)

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"


C

D E

%%.0 cm 3. cm ." cm

%%.0 cm 0.5 cm 0.5 cm

.0 cm 3

%0.0 cm Rto.

OK



B

VP5 (0.30*0.45)- TRAMO 2-3


30.0 cm 45.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 3!."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 2 #omento u1erior %.9" nm #omento inferior

%5.00 nm


AP&/& 3 %%.52 nm

e 0.95 cm

3.!9 nm

-ottico %5"!5.4 n %5"!5.4 n %5"!5.4 n %5"!5.4 n Av 0."% cm7

%5"!".53 n

%.42 m

8u cara 

%5"!".53 n A

Vud =

11436.77 Tn

∅ Vc =

7.60 Tn

:8c ; 2 

3.!0 n

B

%.4% m %.4% m %.42 m


35."4 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

8  %2.%" n %.0 >f?c @b@  %".!" n 2.%2 >f?c @b@  35."4 n

V"  Vc

ao %E ao 2E ao 3E

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

+ar ao % 

* (cm)  Av @ KL @  ; 8 %9.00



;0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  %5"!".53 n

A A6

8u  %%43."" n 8u <.c.  5"4".3% n ∅ Vc rec = %".94

n

: 8c;2  3.!0 n 0.39 m 2h  0.90 %.4% m %.4% m %.42 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm 29.0 cm

%5.0 cm 5%.0 cm !0.0 cm

%5.0 cm 

% O %0 cm  O %5 cm Rto. O %".5 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 6

 O %5 cm

5.0 c& ?.5 c&


B

VP@ (0.30*0.30)- TRAMO 3-4


30.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm 23."! cm


%.9% cm

#&#'&* +,-#&* D'*R-P-& AP&/& 3 #omento u1erior %%.52 nm #omento inferior 3.!9 nm


e 0.95 cm

AP&/& 4 0.25 nm 0.54 nm

-ottico !00.00 n !00.00 n !00.00 n !00.00 n Av 0."% cm7

!02.4% n

2.50 m

8u cara 

!02.4% n A

Vud =

60389.61 Tn

∅ Vc =

4.66 Tn

:8c ; 2 

2.33 n

B

  0.24 m 2.50 m 2.50 m 2.50 m


2%.92 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

V"  Vc

8  %2.!9 n %.0 >f?c @b@  %0.9 n 2.%2 >f?c @b@  2%.92 n

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

ao %E ao 2E ao 3E

+ar ao  2

* (cm)  Av @ KL @  ; 8 %%.00



@0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  !02.4% n

A A6

8u  03!9.% n 8u <.c.  50""0.4% n ∅ Vc rec = %5.2

n

: 8c;2  2.33 n 0.24 m 2h  0.0 2.50 m 2.50 m 2.50 m


%0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%4.0 cm

3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 4

4 O %5 cm

DATOS DE E


4.17 m 11155.80 Tn/m

2.!3 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico 2.0" n 2.0" n

-9.37 Tn -9.37 Tn

8u

5??.53 T" -5?3.3 T"

[email protected]; T" -5?;4.3 T"

%.4% m

%5"!3.3! n

8u cara  Vud =

C

∅ Vc =

D

:8c ; 2 

E

Verifcci!"

C$r%"%e #e, 8c  !.94 n 68c  ".0 n

8c ; 2  4.4" n 6 8c ; 2  3.!0 n

C$r%"%e #e,  mG  ;2  %9.39 cm  mG  0 cm

Tr

 9 ;.00 c& 9

A &>" * : 3.5 78

Tr

 9 5@.0 c&  mG  ;2  %9.39 cm  mG  0 cm

re etriboE

  %9.39 cm

 9 ;.00 c& V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T" Tr

o @ I 8  2.%2 >fHc @ b @  @

+ar %  

* mG (cm) %9.39 0.00  

* (cm) %9.00

V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T"



B

8u <.c.  ∅ Vc rec =

C

D

: 8c;2 

E

%9.0 cm 5%.4 cm

%9.0 cm 0.% cm 5%.5 cm

%9.0 cm 0.0 cm 0.0 cm

%".5 cm 3

%".5 cm Rto.

OK

%".5 cm Rto. Rto. O %".5 cm A;'


5.00 m 26720.00 Tn/m

5.00 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico 2.4% n 2.4% n

-0.83 Tn -0.83 Tn

8u

@@02.4 T" -@@?;?.5; T"

@@?;;.? T" -@@00.3 T"

2.50 m

"9".59 n

C D E 2.2 m

8c  5.4! n 68c  4. n

8c ; 2  2."4 n 6 8c ; 2  2.33 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& 9

A &>" * : 3.5 78

 9 5@.0 c&  mG  ;2  %%.!9 cm  mG  0 cm

re etriboE

  %%.!9 cm


V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T" V" 9 5.@2 T"

o @ I 8  2.%2 >fHc @ b @  @

+ar  2 

* mG (cm)  %5

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T"


V" 9 5.@2 T"


B C

D E

%90.0 cm

0.0 cm %90.0 cm

%0.0 cm %9

0.0 cm 0.0 cm

%0.0 cm Rto.


OK


TRADA

A B Denominación

VOADIO (0.25*0.30)- TRAMO 4-5


25.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 23."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 4 #omento u1erior 0.25 nm

AP&/& 5 0.2" nm

#omento inferior

0.9! nm

e 0.95 cm

3/8"

*item Dual ti1o

0.54 nm



-ottico 5%3.00 n 5%3.00 n 5%3.00 n 5%3.00 n

Ti1 0.5 n 0.5 n

Av 0."% cm7

5%3.5 n

0.95 m

5%3.5 n A 384.05 Tn 3.88 Tn

%.94 n

B C

0.94 m 0.95 m 0.95 m


%!.2 n

N$ c&+,e

C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

Acer$ &$ D - E


&$ C - D

9 9

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



$A-B-C

8  %2.!9 n %.0 >f?c @b@  9.%3 n 2.%2 >f?c @b@  %!.2 n

V"  Vc

ao %E ao 2E ao 3E


+ar ao  2

* (cm)  Av @ KL @  ; 8

*  %5

%%.00



@0.0 c&


0.0 c&


*o mG

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

5%3.5 n

A A6

3!4.05 n

B

%!9.5 n %4.!4 n %.94 n 0.24 m 2h  0.0 0.92 m 0.95 m 0.95 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm %4.0 cm

%5.0 cm 3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'

%%.0 cm 32.4 cm 3

%


5.0 c& ?.5 c& 20.0 c&

%0.0 cm % % O %0 cm

%5.0 cm 4

4 O %5 cm


540.00 Tn/m


2%0 Q;cm7 4200 Q;cm7

3.71 m

%.90 m

0.85

'tructural 1



8u

53.@5 T" -52.35 T"

52.5 T" -53.42 T"

0.95 m

5%2.35 n

D E

4.5" n 3.!! n

8c ; 2  2.2! n 6 8c ; 2  %.94 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& A &>" * : 3.5 78 @.@ c& %%.!9 cm 0 cm

  %%.!9 cm

 9 .00 c& V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"

Hc @ b @ 

+ar  2 

G (cm)

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"


C

D E

%%.0 cm 2.4 cm .! cm

%%.0 cm 0.4 cm 0.4 cm

.0 cm 3

%0.0 cm Rto.

OK



B

VP5 (0.30*0.45)- TRAMO 2-3


30.0 cm 45.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 3!."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 2 #omento u1erior %.!2 nm #omento inferior

%.34 nm


AP&/& 3 %0." nm

e 0.95 cm

3.% nm

-ottico 2253.!" n 2253.!" n 2253.!" n 2253.!" n Av 0."% cm7

2255.4 n

%.42 m

8u cara 

2255.4 n A

Vud =

16346.62 Tn

∅ Vc =

7.60 Tn

:8c ; 2 

3.!0 n

B

%.4% m %.4% m %.42 m


35."4 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

8  %2.%" n %.0 >f?c @b@  %".!" n 2.%2 >f?c @b@  35."4 n

V"  Vc

ao %E ao 2E ao 3E

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

+ar ao % 

* (cm)  Av @ KL @  ; 8 %9.00



;0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  2255.4 n

A A6

8u  %34.2 n 8u <.c.  !2%4.0 n ∅ Vc rec = %".94

n

: 8c;2  3.!0 n 0.39 m 2h  0.90 %.4% m %.4% m %.42 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm 29.0 cm

%5.0 cm 5%.0 cm !0.0 cm

%5.0 cm 

% O %0 cm  O %5 cm Rto. O %".5 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 6

 O %5 cm

5.0 c& ?.5 c&


B

VP@ (0.30*0.30)- TRAMO 3-4


30.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm 23."! cm


%.9% cm

#&#'&* +,-#&* D'*R-P-& AP&/& 3 #omento u1erior %0." nm #omento inferior 3.% nm


e 0.95 cm

AP&/& 4 0.9 nm 0.4% nm

-ottico 93450.00 n 93450.00 n 93450.00 n 93450.00 n Av 0."% cm7

93452.23 n

2.50 m

8u cara 

93452.23 n A

Vud =

84481.03 Tn

∅ Vc =

4.66 Tn

:8c ; 2 

2.33 n

B

  0.24 m 2.50 m 2.50 m 2.50 m


2%.92 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

V"  Vc

8  %2.!9 n %.0 >f?c @b@  %0.9 n 2.%2 >f?c @b@  2%.92 n

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

ao %E ao 2E ao 3E

+ar ao  2

* (cm)  Av @ KL @  ; 8 %%.00



@0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  93452.23 n

A A6

8u  !44!%.03 n 8u <.c.  "%024.23 n ∅ Vc rec = %5.2

n

: 8c;2  2.33 n 0.24 m 2h  0.0 2.50 m 2.50 m 2.50 m


%0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%4.0 cm

3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 4

4 O %5 cm

DATOS DE E


4.17 m 15946.20 Tn/m

2.!3 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico %." n %." n

-4.28 Tn -4.28 Tn

8u

225@5.@4 T" -225@2. T"

2255;.@0 T" -225@.5 T"

%.4% m

2252.%% n

8u cara  Vud =

C

∅ Vc =

D

:8c ; 2 

E

Verifcci!"

C$r%"%e #e, 8c  !.94 n 68c  ".0 n

8c ; 2  4.4" n 6 8c ; 2  3.!0 n

C$r%"%e #e,  mG  ;2  %9.39 cm  mG  0 cm

Tr&

 9 ;.00 c& 9

A &>" * : 3.5 78

Tr&

 9 5@.0 c&  mG  ;2  %9.39 cm  mG  0 cm

re etriboE

  %9.39 cm

 9 ;.00 c& V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T" Tr&$

o @ I 8  2.%2 >fHc @ b @  @

+ar %  

%.0 2.%

* mG (cm) %9.39 0.00  

* (cm) %9.00

V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T"



B

8u <.c.  ∅ Vc rec =

C

D

: 8c;2 

E

%9.0 cm 5%.4 cm

%9.0 cm 0.% cm 5%.5 cm

%9.0 cm 0.0 cm 0.0 cm

%".5 cm 3

%".5 cm Rto.

OK

%".5 cm Rto. Rto. O %".5 cm A;'


5.00 m 37380.00 Tn/m

5.00 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico 2.23 n 2.23 n

-0.77 Tn -0.77 Tn

8u

;3452.23 T" -;344?.?? T"

;344;.23 T" -;3450.?? T"

2.50 m

9344"."" n

C D E 2.2 m

8c  5.4! n 68c  4. n

8c ; 2  2."4 n 6 8c ; 2  2.33 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& 9

A &>" * : 3.5 78

 9 5@.0 c&  mG  ;2  %%.!9 cm  mG  0 cm

re etriboE

  %%.!9 cm


V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T" V" 9 5.@2 T"

o @ I 8  2.%2 >fHc @ b @  @

+ar  2 

* mG (cm)  %5

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T"


V" 9 5.@2 T"


B C

D E

%90.0 cm

0.0 cm %90.0 cm

%0.0 cm %9

0.0 cm 0.0 cm

%0.0 cm Rto.


OK


TRADA

A B Denominación

VOADIO (0.25*0.30)- TRAMO 4-5


25.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 23."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 4 #omento u1erior 0.9 nm

AP&/& 5 0.2" nm

#omento inferior

0.9! nm

3/8"

*item Dual ti1o

0.4% nm



e 0.95 cm

-ottico !4.00 n !4.00 n !4.00 n !4.00 n

Ti1 0.!! n 0.!! n

Av 0."% cm7

!4.!! n

0.95 m

!4.!! n A 512.08 Tn 3.88 Tn

%.94 n

B C

0.95 m 0.95 m 0.95 m


%!.2 n

N$ c&+,e

C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

Acer$ D - E


C - D

9 9

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



-B-C

8  %2.!9 n  >f?c @b@  9.%3 n 2 >f?c @b@  %!.2 n

V"  Vc

ao %E ao 2E ao 3E


+ar ao  2

* (cm)  Av @ KL @  ; 8

*  %5

%%.00



@0.0 c&


0.0 c&

%5.0 %9.% 22.! 30.0

*o mG


*o mG

cm cm cm cm

5.0 c&

!4.!! n

A A6

5%2.0! n

B

252.!! n %4.!4 n %.94 n 0.24 m 2h  0.0 0.93 m 0.95 m 0.95 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm %4.0 cm

%5.0 cm 3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'

%%.0 cm 33.% cm 3

%


5.0 c& ?.5 c& 20.0 c&

%0.0 cm %

% O %0 cm

%5.0 cm 4

4 O %5 cm


720.00 Tn/m


2%0 Q;cm7 4200 Q;cm7

3.71 m

%.90 m

0.85

'tructural 1



8u

@4. T" -@3.2 T"

@3.@4 T" -@4.3@ T"

0.95 m

!3.%2 n

D E

4.5" n 3.!! n

8c ; 2  2.2! n 6 8c ; 2  %.94 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& A &>" * : 3.5 78 @.@ c& %%.!9 cm 0 cm

  %%.!9 cm

 9 .00 c& V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"

Hc @ b @ 

+ar  2 

G (cm)

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"


C

D E

%%.0 cm %.! cm .9 cm

%%.0 cm 0.3 cm 0.3 cm

.0 cm 3

%0.0 cm Rto.

OK



B

VP5 (0.30*0.45)- TRAMO 2-3


30.0 cm 45.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 3!."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 2 #omento u1erior %.39 nm

AP&/& 3 !.49 nm

#omento inferior

%.54 nm

0.!9 nm


e 0.95 cm

-ottico 29342.29 n 29342.29 n 29342.29 n 29342.29 n Av 0."% cm7

29343.32 n

%.42 m

8u cara 

29343.32 n A

Vud =

21256.05 Tn

∅ Vc =

7.60 Tn

:8c ; 2 

3.!0 n

B

%.4% m %.4% m %.42 m


35."4 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

8  %2.%" n %.0 >f?c @b@  %".!" n 2.%2 >f?c @b@  35."4 n

V"  Vc

ao %E ao 2E ao 3E

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

+ar ao % 

* (cm)  Av @ KL @  ; 8 %9.00



;0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  29343.32 n

A A6

8u  2%25.05 n 8u <.c.  %0!0.3! n ∅ Vc rec = %".94

n

: 8c;2  3.!0 n 0.39 m 2h  0.90 %.4% m %.4% m %.42 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm 29.0 cm

%5.0 cm 5%.0 cm !0.0 cm

%5.0 cm 

% O %0 cm  O %5 cm Rto. O %".5 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 6

 O %5 cm

5.0 c& ?.5 c&


B

VP@ (0.30*0.30)- TRAMO 3-4


30.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm 23."! cm


%.9% cm

#&#'&* +,-#&* D'*R-P-& AP&/& 3 #omento u1erior !.49 nm #omento inferior %.54 nm


e 0.95 cm

AP&/& 4 0."% nm 0.42 nm

-ottico %20%00.00 n %20%00.00 n %20%00.00 n %20%00.00 n Av 0."% cm7

%20%0%."! n

2.50 m

8u cara 

%20%0%."! n A

Vud =

108572.18 Tn

∅ Vc =

4.66 Tn

:8c ; 2 

2.33 n

B

  0.24 m 2.50 m 2.50 m 2.50 m


2%.92 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

'1aciamiento en


Tr&$ A - B - C

V"  Vc

8  %2.!9 n %.0 >f?c @b@  %0.9 n 2.%2 >f?c @b@  2%.92 n

a 8  %.0 >fHc @ b %.0 >fHc @ b @  8 J 2.%2 >fHc @

ao %E ao 2E ao 3E

+ar ao  2

* (cm)  Av @ KL @  ; 8 %%.00



@0.0 c&


0.0 c&

%5.0 cm %9.% cm 22.! cm 30.0 cm

*o mG

5.0 c&

8u cara  %20%0%."! n

A A6

8u  %0!5"2.%! n 8u <.c.  9%2""."! n ∅ Vc rec = %5.2

n

: 8c;2  2.33 n 0.24 m 2h  0.0 2.50 m 2.50 m 2.50 m


%0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%4.0 cm

3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'


%0.0 cm % % O %0 cm

%5.0 cm 4

4 O %5 cm

DATOS DE E


4.17 m 20736.60 Tn/m

2.!3 m 2%0 Q;cm7 4200 Q;cm7 0.85



-3.32 Tn -3.32 Tn

8u

2;343.32 T" -2;34.25 T"

2;33.;? T" -2;345.@0 T"

%.4% m

2934%.25 n

8u cara  Vud =

C

∅ Vc =

D

:8c ; 2 

E

Verifcci!"

C$r%"%e #e, 8c  !.94 n 68c  ".0 n

8c ; 2  4.4" n 6 8c ; 2  3.!0 n

C$r%"%e #e,  mG  ;2  %9.39 cm  mG  0 cm

Tr&

 9 ;.00 c& 9

A &>" * : 3.5 78

Tr&

 9 5@.0 c&  mG  ;2  %9.39 cm  mG  0 cm

re etriboE

  %9.39 cm

 9 ;.00 c& V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T" Tr&$

o @ I 8  2.%2 >fHc @ b @  @

+ar %  

%.0 2.%

* mG (cm) %9.39 0.00  

* (cm) %9.00

V 9 2.? T" Vc 9 .;4 T" V" 9 2. T"


V" 9 ?.;4 T"



B

8u <.c.  ∅ Vc rec =

C

D

: 8c;2 

E

%9.0 cm 5%.4 cm

%9.0 cm 0.% cm 5%.5 cm

%9.0 cm 0.0 cm 0.0 cm

%".5 cm 3

%".5 cm Rto.

OK

%".5 cm Rto. Rto. O %".5 cm A;'


5.00 m 48040.00 Tn/m

5.00 m 2%0 Q;cm7 4200 Q;cm7 0.85


Ti1erettico %."! n %."! n

-0.45 Tn -0.45 Tn

8u

200.? T" -200;.22 T"

200;;.55 T" -2000.45 T"

2.50 m

%2009!.22 n

C D E 2.2 m

8c  5.4! n 68c  4. n

8c ; 2  2."4 n 6 8c ; 2  2.33 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& 9

A &>" * : 3.5 78

 9 5@.0 c&  mG  ;2  %%.!9 cm  mG  0 cm

re etriboE

  %%.!9 cm


V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T" V" 9 5.@2 T"

o @ I 8  2.%2 >fHc @ b @  @

+ar  2 

* mG (cm)  %5

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 5.4 T" V" 9 .3? T"


V" 9 5.@2 T"


B C

D E

%90.0 cm

0.0 cm %90.0 cm

%0.0 cm %9

0.0 cm 0.0 cm

%0.0 cm Rto.


OK


TRADA

A B Denominación

VOADIO (0.25*0.30)- TRAMO 4-5


25.0 cm 30.0 cm 4.0 cm 0.95 cm 2.54 cm Peralte efectivo () 23."! cm #enor iametro Barra $b(cm) %.9% cm #&#'&* +,-#&* D'*R-P-& AP&/& 4 #omento u1erior 0."% nm

AP&/& 5 0.2! nm

#omento inferior

0.09 nm

3/8"

*item Dual ti1o

0.42 nm



e 0.95 cm

-ottico !55.00 n !55.00 n !55.00 n !55.00 n

Ti1 0.42 n 0.42 n

Av 0."% cm7

!55.42 n

0.95 m

!55.42 n A 639.42 Tn 3.88 Tn

%.94 n

B C

0.95 m 0.95 m 0.95 m


%!.2 n

N$ c&+,e

C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

Acer$ D - E


C - D

9 9

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



-B-C

8  %2.!9 n  >f?c @b@  9.%3 n 2 >f?c @b@  %!.2 n

V"  Vc

ao %E ao 2E ao 3E


+ar ao  2

* (cm)  Av @ KL @  ; 8

*  %5

%%.00



@0.0 c&


0.0 c&

%5.0 %9.% 22.! 30.0

*o mG


*o mG

cm cm cm cm

5.0 c&

!55.42 n

A A6

39.42 n

B

3%5.42 n %4.!4 n %.94 n 0.24 m 2h  0.0 0.93 m 0.95 m 0.95 m


%0.0 cm %0.0 cm %0.0 cm


%0.0 cm %

+ar 3;!F

%5.0 cm %4.0 cm

%5.0 cm 3.0 cm 50.0 cm

%5.0 cm 4

% O %0 cm 4 O %5 cm Rto. O %0 cm A;'

%%.0 cm 33.4 cm 3

%


5.0 c& ?.5 c& 20.0 c&

%0.0 cm %

% O %0 cm

%5.0 cm 4

4 O %5 cm


900.00 Tn/m


2%0 Q;cm7 4200 Q;cm7

3.71 m

%.90 m

0.85

'tructural 1



8u

55.42 T" -54.5 T"

54.@3 T" -55.3? T"

0.95 m

!54.5! n

D E

4.5" n 3.!! n

8c ; 2  2.2! n 6 8c ; 2  %.94 n

 mG  ;2  %%.!9 cm  mG  0 cm

 9 .00 c& A &>" * : 3.5 78 @.@ c& %%.!9 cm 0 cm

  %%.!9 cm

 9 .00 c& V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"

Hc @ b @ 

+ar  2 

G (cm)

* (cm)

 30.00

%%.00

V 9 2.; T" Vc 9 4.5? T" V" 9 ?.4@ T"

oE E

V" 9 4.4 T"


C

D E

%%.0 cm %.4 cm .! cm

%%.0 cm 0.2 cm 0.2 cm

.0 cm 3

%0.0 cm Rto.

OK


DISEÑO POR CORTANTE DATOS DE ENTRADA

A B

VB (0.5*0.20)- TRAMO -2

Denominación Ancho (b) Peralte (h) Recubrimiento (rec) '1eor etribo (6 ') '1eor fierro (6 ,)

%5.0 cm 20.0 cm 4.0 cm 0.95 cm 2.54 cm %3."! cm %.9% cm

Peralte efectivo () #enor iametro Barra $b(cm #&#'&* D'*R-P-& #omento u1erior #omento inferior

ortante e ieo ortante -<=uiero (8 AB) ortante Derecho (8 BA) 6e 3/8"

e 0.95 cm

Reitencia o Reitencia Ac 6 cortante *itema ' Dual ti1o

+,-#&* AP&/& % 0."! nm 0.40 nm

AP&/& 2 0.50 nm 0.32 nm

-ottico 52.92 n 52.92 n 52.92 n 52.92 n

Ti1ere 0.5 n 0.5 n

Av 0."% cm7

53.4! n

0.9! m

8u cara 

53.4! n A

Vud =

482.65 Tn

∅ Vc =

1.35 Tn

:8c ; 2 

0." n

B C

  0.%4 m

0.!4 0.9" m 0.9" m 0.9! m


.35 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

9 9

+anoE

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 

'1aciamiento entre etribo

ortante =ue aborben lo e ortante =ue aborbe el conc ortante nominal =ue o1ort 8n  8 C 8c

Tr&$ A - B - C

V"  Vc

8  %3."0 n %.0 >f?c @b@  3.%! n 2.%2 >f?c @b@  .35 n

ao 8  %.0 >fHc @ b @  %.0 >fHc @ b @  I 8  2.% 8 J 2.%2 >fHc @ b @ 

ao %E ao 2E ao 3E

+ar ao  

* (cm)  Av @ KL @  ; 8

* m  

.00



40.0 c&


0.0 c&

*o mG

'1eciNcaci R'E a1. 2% Primer etribo

*o mG

%5.0 cm %9.% cm 22.! cm 30.0 cm

5.0 c&

8u cara  53.4! n

A A6

8u  4!2.5 n

B

8u <.c.  332.54 n ∅ Vc rec = %2.99

n

: 8c;2  0." n 0.%4 m 2h  0.40 0.95 m 0.9" m 0.9! m

'1aciamiento

%0.0 cm

%5.0 cm

%5.0 cm

.0 cm


%0.0 cm %0.0 cm

4.0 cm 2.0 cm 30.0 cm


%0.0 cm %

%5.0 cm 2

+ar 3;!F

% O %0 cm 2 O %5 cm Rto. O 5 cm A;'


5.0 c& ?.5 c& 20.0 c&

%0.0 cm % % O %0 cm

%5.0 cm 2

2 O %5 cm

55.3 cm 5".

5.0 %

Ancho tribut. arQa (mC ,onQitu (,n)

5"".35 n;m %.95 m


2%0 Q;cm7 4200 Q;cm7

1.68 m

0.85

tructural 1


ttico -0.46 Tn -0.46 Tn

8u

[email protected] T" [email protected] T"

[email protected]@ T" [email protected]? T"

0.9" m

52.35 n

D

E m

%.59 n %.35 n

8c ; 2  0."9 n 6 8c ; 2  0." n

 mG  ;2  .!9 cm  mG  0 cm

 9 @.00 c& A &>" * : 3.5 78 3.@0 c& .!9 cm 0 cm

E

  .!9 cm

 9 @.00 c&

triboE retoE E

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T" V" 9 2.;; T"

+ar   'rror

2 >fHc @ b @ 

(cm)

* (cm)  

.00

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T"

triboE retoE E

V" 9 2.;; T"

one en Mona e onNnamiento Dual Dual --;Pórtico %0 cm 5 cm ;4 ó %5 cm ;4 o %5 cm %0 b ! b 24 e 24 e 30 cm 30 cm

C

D E

.0 cm

.0 cm

2.% cm cm

cm %

0.% cm 0.% cm

5.0 cm Rto.

5.0 cm Rto. Rto. O 5 cm A;'

OK


A B

VB (0.5*0.20)- TRAMO -2


%5.0 cm 20.0 cm 4.0 cm 0.95 cm 2.54 cm %3."! cm %.9% cm



e 0.95 cm


+,-#&* AP&/& % %.00 nm 0.35 nm

AP&/& 2 0.3 nm 0.35 nm

-ottico 239.2! n 239.2! n 239.2! n 239.2! n

Ti1ere 0.9 n 0.9 n

Av 0."% cm7

239.9" n

0.9! m

8u cara 

239.9" n A

Vud =

2029.76 Tn

∅ Vc =

1.35 Tn

:8c ; 2 

0." n

B C

  0.%4 m

0.!4 0.9" m 0.9! m 0.9! m


.35 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

9 9

+anoE

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



Tr&$ A - B - C

V"  Vc

8  %3."0 n %.0 >f?c @b@  3.%! n 2.%2 >f?c @b@  .35 n


ao %E ao 2E ao 3E

+ar ao  

* (cm)  Av @ KL @  ; 8

* m  

.00



40.0 c&


0.0 c&

*o mG


*o mG

%5.0 cm %9.% cm 22.! cm 30.0 cm

5.0 c&

8u cara  239.9" n

A A6

8u  2029." n

B

8u <.c.  %39".9 n ∅ Vc rec = %2.99

n

: 8c;2  0." n 0.%4 m 2h  0.40 0.9" m 0.9! m 0.9! m

'1aciamiento

%0.0 cm

%5.0 cm

%5.0 cm

.0 cm


%0.0 cm %0.0 cm

4.0 cm 2.0 cm 30.0 cm


%0.0 cm %

%5.0 cm 2

+ar 3;!F

% O %0 cm 2 O %5 cm Rto. O 5 cm A;'


5.0 c& ?.5 c& 20.0 c&

%0.0 cm % % O %0 cm

%5.0 cm 2

2 O %5 cm

5".0 cm 5".

5.0 %

Ancho tribut. arQa (mC ,onQitu (,n) ncreto (f?c) ro (fL)

1.68 m

2430.03 n;m %.95 m 2%0 Q;cm7 4200 Q;cm7 0.85

tructural 1

ttico -0.50 Tn -0.50 Tn


8u

23@;.;? T" -23@.5; T"

23@.? T" -23@;.? T"

0.9" m

23!.59 n

D

E m

%.59 n %.35 n

8c ; 2  0."9 n 6 8c ; 2  0." n

 mG  ;2  .!9 cm  mG  0 cm

 9 @.00 c& A &>" * : 3.5 78 3.@0 c& .!9 cm 0 cm

E

  .!9 cm

 9 @.00 c&

triboE retoE E

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T" V" 9 2.;; T"


2 >fHc @ b @ 

(cm)

* (cm)  

.00

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T"

triboE retoE E

V" 9 2.;; T"


C

D E

.0 cm

.0 cm

0.5 cm cm

cm 2

0.0 cm 0.0 cm

5.0 cm Rto.


OK


A B

VB (0.5*0.20)- TRAMO -2


%5.0 cm 20.0 cm 4.0 cm 0.95 cm 2.54 cm %3."! cm %.9% cm



e 0.95 cm


+,-#&* AP&/& % %.02 nm 0.3" nm

AP&/& 2 0.5 nm 0.3" nm

-ottico 4%"5.4 n 4%"5.4 n 4%"5.4 n 4%"5.4 n

Ti1ere 0."% n 0."% n

Av 0."% cm7

4%".35 n

0.9! m

8u cara 

4%".35 n A

Vud =

3576.77 Tn

∅ Vc =

1.35 Tn

:8c ; 2 

0." n

B C

  0.%4 m

0.!4 0.9" m 0.9! m 0.9! m


.35 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

9 9

+anoE

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



Tr&$ A - B - C

V"  Vc

8  %3."0 n %.0 >f?c @b@  3.%! n 2.%2 >f?c @b@  .35 n


ao %E ao 2E ao 3E

+ar ao  

* (cm)  Av @ KL @  ; 8

* m  

.00



40.0 c&


0.0 c&

*o mG


*o mG

%5.0 cm %9.% cm 22.! cm 30.0 cm

5.0 c&

8u cara  4%".35 n

A A6

8u  35"."" n

B

8u <.c.  243.2" n ∅ Vc rec = %2.99

n

: 8c;2  0." n 0.%4 m 2h  0.40 0.9" m 0.9! m 0.9! m

'1aciamiento

%0.0 cm

%5.0 cm

%5.0 cm

.0 cm


%0.0 cm %0.0 cm

4.0 cm 2.0 cm 30.0 cm


%0.0 cm %

%5.0 cm 2

+ar 3;!F

% O %0 cm 2 O %5 cm Rto. O 5 cm A;'


5.0 c& ?.5 c& 20.0 c&

%0.0 cm % % O %0 cm

%5.0 cm 2

2 O %5 cm

5".2 cm 5".

5.0 %


1.68 m

42!2."% n;m %.95 m 2%0 Q;cm7 4200 Q;cm7 0.85

tructural 1

ttico -0.52 Tn -0.52 Tn


8u

4[email protected] T" -4?4.;3 T"

4?5.2 T" -4?@.@ T"

0.9" m

4%"4.93 n

D

E m

%.59 n %.35 n

8c ; 2  0."9 n 6 8c ; 2  0." n

 mG  ;2  .!9 cm  mG  0 cm

 9 @.00 c& A &>" * : 3.5 78 3.@0 c& .!9 cm 0 cm

E

  .!9 cm

 9 @.00 c&

triboE retoE E

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T" V" 9 2.;; T"


2 >fHc @ b @ 

(cm)

* (cm)  

.00

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T"

triboE retoE E

V" 9 2.;; T"


C

D E

.0 cm

.0 cm

0.3 cm cm

cm 2

0.0 cm 0.0 cm

5.0 cm Rto.


OK


A B

VB (0.5*0.20)- TRAMO -2


%5.0 cm 20.0 cm 4.0 cm 0.95 cm 2.54 cm %3."! cm %.9% cm



e 0.95 cm


+,-#&* AP&/& % 0.9 nm 0.3% nm

AP&/& 2 0.0 nm 0.33 nm

-ottico 59!2.0% n 59!2.0% n 59!2.0% n 59!2.0% n

Ti1ere 0. n 0. n

Av 0."% cm7

59!2. n

0.9! m

8u cara 

59!2. n A

Vud =

5123.71 Tn

∅ Vc =

1.35 Tn

:8c ; 2 

0." n

B C

  0.%4 m

0.!4 0.9" m 0.9" m 0.9! m


.35 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

9 9

+anoE

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



Tr&$ A - B - C

V"  Vc

8  %3."0 n %.0 >f?c @b@  3.%! n 2.%2 >f?c @b@  .35 n


ao %E ao 2E ao 3E

+ar ao  

* (cm)  Av @ KL @  ; 8

* m  

.00



40.0 c&


0.0 c&

*o mG


*o mG

%5.0 cm %9.% cm 22.! cm 30.0 cm

5.0 c&

8u cara  59!2. n

A A6

8u  5%23."% n

B

8u <.c.  352!.5% n ∅ Vc rec = %2.99

n

: 8c;2  0." n 0.%4 m 2h  0.40 0.9" m 0.9" m 0.9! m

'1aciamiento

%0.0 cm

%5.0 cm

%5.0 cm

.0 cm


%0.0 cm %0.0 cm

4.0 cm 2.0 cm 30.0 cm


%0.0 cm %

%5.0 cm 2

+ar 3;!F

% O %0 cm 2 O %5 cm Rto. O 5 cm A;'


5.0 c& ?.5 c& 20.0 c&

%0.0 cm % % O %0 cm

%5.0 cm 2

2 O %5 cm

5".3 cm 5".

5.0 %


1.68 m

%35.39 n;m %.95 m 2%0 Q;cm7 4200 Q;cm7 0.85

tructural 1

ttico -0.47 Tn -0.47 Tn


8u

5;2.@@ T" -5;.35 T"

5;.54 T" -5;2.4? T"

0.9" m

59!%.35 n

D

E m

%.59 n %.35 n

8c ; 2  0."9 n 6 8c ; 2  0." n

 mG  ;2  .!9 cm  mG  0 cm

 9 @.00 c& A &>" * : 3.5 78 3.@0 c& .!9 cm 0 cm

E

  .!9 cm

 9 @.00 c&

triboE retoE E

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T" V" 9 2.;; T"


2 >fHc @ b @ 

(cm)

* (cm)  

.00

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T"

triboE retoE E

V" 9 2.;; T"


C

D E

.0 cm

.0 cm

0.2 cm cm

cm %

0.0 cm 0.0 cm

5.0 cm Rto.


OK


A B

VB (0.5*0.20)- TRAMO -2


%5.0 cm 20.0 cm 4.0 cm 0.95 cm 2.54 cm %3."! cm %.9% cm



e 0.95 cm


+,-#&* AP&/& % 0.!0 nm 0.%! nm

AP&/& 2 0.50 nm 0.22 nm

-ottico ""!!.3" n ""!!.3" n ""!!.3" n ""!!.3" n

Ti1ere 0.52 n 0.52 n

Av 0."% cm7

""!!.!9 n

0.9! m

8u cara 

""!!.!9 n A

Vud =

6670.56 Tn

∅ Vc =

1.35 Tn

:8c ; 2 

0." n

B C

  0.%4 m

0.!4 0.9" m 0.9" m 0.9! m


.35 n

N$ c&+,e

C$r%"%e #e, C$"cre%$ Vc 9 0.53 6c * 78 * #

8c  68c 

C$r%"%e #e, Acer$ Tr&$ D - E


Tr&$ C - D

9 9

+anoE

6e  3;!F Av  0."% cm7 A mn  %.42 cm7

 mG  ;2   mG 



Tr&$ A - B - C

V"  Vc

8  %3."0 n %.0 >f?c @b@  3.%! n 2.%2 >f?c @b@  .35 n


ao %E ao 2E ao 3E

+ar ao  

* (cm)  Av @ KL @  ; 8

* m  

.00



40.0 c&


0.0 c&

*o mG


*o mG

%5.0 cm %9.% cm 22.! cm 30.0 cm

5.0 c&

8u cara  ""!!.!9 n

A A6

8u  "0.5 n

B

8u <.c.  4593. n ∅ Vc rec = %2.99

n

: 8c;2  0." n 0.%4 m 2h  0.40 0.9" m 0.9" m 0.9! m

'1aciamiento

%0.0 cm

%5.0 cm

%5.0 cm

.0 cm


%0.0 cm %0.0 cm

4.0 cm 2.0 cm 30.0 cm


%0.0 cm %

%5.0 cm 2

+ar 3;!F

% O %0 cm 2 O %5 cm Rto. O 5 cm A;'


5.0 c& ?.5 c& 20.0 c&

%0.0 cm % % O %0 cm

%5.0 cm 2

2 O %5 cm

5".3 cm 5".

5.0 %


1.68 m

"9!!.0" n;m %.95 m 2%0 Q;cm7 4200 Q;cm7 0.85

tructural 1

ttico -0.35 Tn -0.35 Tn


8u

??.; T" -???.5 T"

??.02 T" -??.?2 T"

0.9" m

""!".!5 n

D

E m

%.59 n %.35 n

8c ; 2  0."9 n 6 8c ; 2  0." n

 mG  ;2  .!9 cm  mG  0 cm

 9 @.00 c& A &>" * : 3.5 78 3.@0 c& .!9 cm 0 cm

E

  .!9 cm

 9 @.00 c&

triboE retoE E

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T" V" 9 2.;; T"


2 >fHc @ b @ 

(cm)

* (cm)  

.00

V 9 3.?0 T" Vc 9 .5; T" V" 9 5.2 T"

triboE retoE E

V" 9 2.;; T"


C

D E

.0 cm

.0 cm

Excel para diseño por cortantes de vigas

Recommend Documents