Hoja de cálculo para armaduras de 5 barras

8/17/2019 Hoja de cálculo para armaduras de 5 barras

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Barra PI PF Longitud CosX CosY E(kg/cm2) A(cm2) K 1 2 0 0 2 2!2!"2#12 $0#0#10%#! 0#0#10%#! !0000 2& #0#10%#!12 0 2 2 2 2 1 0 !0000 2& 1000000' 2 2 " 0 2!2!"2#12 0#0#10%#! $0#0#10%#! !0000 2& #0#10%#!1" 0 2 " 0 ""#21'&& 0!""2#1 $0""#21'% !0000 2& ""#21'&&& 2 0 " 0 2 1 0 !0000 2& 1000000% ' 1 $# & 10##0'2% $02!"#%% 0'#1'0%! 1000 " '#1'0%#%# " 1 $11 & 1&&2"1#"# $0%%2'"" 02%%2%& 1000 " 2%%2%&1! & & & " 1 0 $1 1000 " "000 % % % ! 2 0 1 1000 " 2000

10 # " % 2 22'%0%#! $0""#21'% $0!""2#1 1000 " 1#!!!&"'!

Barra 1

K #0#10%#!1 $#0#10%#!1

$#0#10%#!1 #0#10%#!1

* $0#0#10%#! 0#0#10%#! 0 00 0 $0#0#10%#! 0#0#10%#!

$&00000 &00000&00000 $&00000&00000 $&00000

$&00000 &00000

+atri, K d- coord-nadas .o d& d% d1'&'&&''1 $'&'&&''1 $'&'&&''1

$'&'&&''1 '&'&&''1 '&'&&''1$'&'&&''1 '&'&&''1 '&'&&''1'&'&&''1 $'&'&&''1 $'&'&&''1

*t

K*t


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Barra 2

K 1000000 $1000000$1000000 1000000

* 1 0 0 00 0 1 0

1000000 $10000000 0

$1000000 1000000

0 0

+atri, K d- coord-nadas .o d1 d2 d'1000000 0 $1000000

0 0 0$1000000 0 1000000

0 0 0

*t

K*t


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Barra '

K #0#10%#!1 $#0#10%#!1$#0#10%#!1 #0#10%#!1

* 0#0#10%#! $0#0#10%#! 0 00 0 0#0#10%#! $0#0#10%#!

&00000 $&00000

$&00000 &00000

$&00000 &00000&00000 $&00000

+atri, K d- coord-nadas .o d' d" d#'&'&&''1 $'&'&&''1 $'&'&&''1

$'&'&&''1 '&'&&''1 '&'&&''1$'&'&&''1 '&'&&''1 '&'&&''1'&'&&''1 $'&'&&''1 $'&'&&''1

*t

K*t


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Barra "

K ""#21'&& $""#21'&&$""#21'&& ""#21'&&

* 0!""2#1 $0""#21'% 0 00 0 0!""2#1 $0""#21'%

"00000 $"00000

$200000 200000$"00000 "00000200000 $200000

+atri, K d- coord-nadas .o d1 d2 d#'##0!#% $1#!!!&"'! $'##0!#%

$1#!!!&"'! !""2#11 1#!!!&"'!$'##0!#% 1#!!!&"'! '##0!#%1#!!!&"'! $!""2#11 $1#!!!&"'!

*t

K*t


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Barra &

K ""#21'&& $""#21'&&$""#21'&& ""#21'&&

* 1 0 0 00 0 1 0

""#21'&& $""#21'&&0 0

$""#21'&& ""#21'&&0 0

+atri, K d- coord-nadas .o d& d% d#""#21'&& 0 $""#21'&&

0 0 0$""#21'&& 0 ""#21'&&

0 0 0

*t

K*t


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+atri, -structura1 2 ' " & % #

1#11'2"2# $&'2"'!!2!# $1000000 0 $'&'&&''1 '&'&&''1 $'##0!#%$&'2"'!!2 ""2%10%' 0 0 '&'&&''1 $'&'&&''1 1#!!!&"'!

$1000000 0 1'&'&&'' $'&'&&''1 0 0 $'&'&&''10 0 $'&'&&''1 '&'&&''1 0 0 '&'&&''1

$'&'&&''1 '&'&&''0&' 0 0 !00#%%!% $'&'&&''1 $""#21'&&'&'&&''1 $'&'&&''0& 0 0 $'&'&&''1 '&'&&''1 0

$'##0!#% 1#!!!&"'!2 $'&'&&''1 '&'&&''1 $""#21'&& 0 11&!&'#!%1#!!!&"'! $!""2#11 '&'&&''1 $'&'&&''1 0 0 $&'2"'!!2

-s3a,ami-ntos

$0#0#10%#! 00#0#10%#! 0

0 $0#0#10%#! 4u-r,as 5u3 -rAs di4-r-ncia0 0#0#10%#! 41 0 0 0 d-s3a,ami-ntos d1

42 0 0 0 d24' 0 0 0 d'4" $"00 0 $"00 d"4& 0 0 0 d&

As-ntami-ntos d%d#d!

6-accion-s4&d2 4% "00

'&'&&''1 d& 4# 1&'"##2E$012

$'&'&&''1 d% 4! $"&"#"#"E$01'$'&'&&''1 d1'&'&&''1 d2


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Fu-r,as int-rnas

1 00 0 Barra 1 4 0 1 d& 0000!""2#2 &%&%!&"2&0 0 d% 0 $&%&%!&"2&

d1 $000%"#'"d2 $000!&2'#'2

Barra 2 4

d1 $000%"#'" "00d2 $000!&2'#'2 $"00d' $000%!#'"

d" $000!02'0"!

d" Barra ' 4 0 d1 d' $000%!#'" &%&%!&"2&0 d2 d" $000!02'0"! $&%&%!&"2&0 d' d# 00 d" d! 0

Barra " 4 d1 $000%"#'" $!""2#11d2 $000!&2'#'2 !""2#11

d# 0d! 0

Barra & 4 d& 0000!""2#2 "00d% 0 $"00d# 0


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d! 0

0#0#10%#! 0 6-s7m-n -,3a,ami-ntos r-accion-s (Kg) Fu-r,as int-rnas

$0#0#10%#! 0 (mm) 4& $'%0 arra 4(kg)0 0#0#10%#! d1 $%"#'" 4% "00 1 &%&%!&"2&

0 $0#0#10%#! d2 $!&2'#'20" 4# 1&'"!E$012 2 "00d' $%!#'" 4! $"&"#E$01' ' &%&%!&"2&d" $!02'0"!& " !""2#11d& 0!""2#1 & "00d% 0

d# 0d! 0

d!'&'&&''1 d'

$'&'&&''1 d"$'&'&&''1 d#'&'&&''1 d!


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0!""2#1 0$0""#21'% 0

0 0!""2#10 $0""#21'%

d!1#!!!&"'! d1

$!""2#11 d2$1#!!!&"'! d#!""2#11 d!


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1 00 00 10 0

d!0 d&0 d%0 d#0 d!


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!1#!!!&"'! 1

$!""2#11 2'&'&&''1 '

$'&'&&''1 "0 &0 %

$&'2"'!!2 # -s3a,ami-ntos""2%11 ! 1 $001&00%!

2 $010!!"'#'' 00""02%2%

d" 0d& 0

d% 0$000%"#'$000!&2'#' Fu-r,as int-rnas$000%!#'$000!02' Barra 10000!""' $&00000 &00000 &00000 $&00000

0 &00000 $&00000 $&00000 &0000000 0

0$001&00%!$010!!"'#'

Barra 21000000 0 $1000000 0

$1000000 0 1000000 0


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000

&00000

Barra '&00000 $&00000 $&00000 &00000

$&00000 &00000 &00000 $&00000

00

00""02%2%0


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*raa8o -4ormaci9n mmcom3r-si9n 0!

com3r-si9n 0"0!

traccion 2com3r-si9n 0"


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6-accion-s4" '&22100"4& '24% ""!11'0

4 "%1!'##% "%1!'##%

$"%1!'##% $"%1!'##%

F $&0''2''& $&0''2''&&0''2''& &0''2''&


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F $2201'12#& $2201'12#&2201'12#& 2201'12#&


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:-ri;caci9n d-


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i9n d- 22 i9n d- 2' i9n d- 2" i9n d- 2&

i9n d- 2%


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E-m-ntos -n com3r-si9n

Barras Longitud Bas-(3ug atura 3ug ar-a -s-t-,1 2!2!"2#12 1 1 %"&1% 111'&&'2 2 1 " 2&!0%" 0#!#"01' 2!2!"2#12 " ! 20%"&12 ""&"21&"" ""#21'&& 1 ! &1%12! 1#%0%!'"&& 2 1 ! &1%12! 0#!#"01

Barra Corta


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-s4u-r,o admBas-(3ug atura 3ug ar-a carga adm *

#& 1 ! &1%12! '!#0% ma=ima ccm !1

-s-t-,(cm) !0 !!!!!!!! arra arga 2&" ti3o c

202'%&!""

1&2"


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rga admisi- 3ara a s-cci9n d- 22

A 20B 202C 22"#


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arra 4 1 20202 12&0' !!0

tuos d- ac-ro

0&mcamiot 0 &0>!

ag 0'' t1>2&r 1#& r

F?@ 2&00k 100 &


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traa8oc traccion 0'111111c Ag 0>'0>'' -ntonc-s camiar s-cci9nt

-s-t-, 2!&#1"2!% ma@or a '002&!!!

1%

com3r-si9n d-- 1%1%0anda200 &1"2!"


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Barra PI PF Longitud CosX CosY E(kg/cm2) A(cm2) K 1 0 0 " 2 ""#21'&& 0!""2#1 0""#21'% 2"00 & 2%!'2!12 " 0 " 2 2 0 1 2"00 10 12000' 0 " 2 &'!&1%"!1 $02!"#%% 0'#1'0%! 2"00 & 222!'""0%

% ' 1 $# & 10##0'2% $02!"#%% 0'#1'0%! 1000 " '#1'0%#%# " 1 $11 & 1&&2"1#"# $0%%2'"" 02%%2%& 1000 " 2%%2%&1! & & & " 1 0 $1 1000 " "000 % % % ! 2 0 1 1000 " 2000

10 # " % 2 22'%0%#! $0""#21'% $0!""2#1 1000 " 1#!!!&"'!

Barra 1

K 2%!'2!1 $2%!'2!1

$2%!'2!1 2%!'2!1

* 0!""2#1 0""#21'% 0 00 0 0!""2#1 0""#21'%

2"00 $2"001200 $1200

$2"00 2"00

$1200 1200

+atri, K d- coord-nadas .o d' d" d121"%%2&2% 10#''12%' $21"%%2&2%10#''12%' &'%%&%'1& $10#''12%'

$21"%%2&2% $10#''12%' 21"%%2&2%$10#''12%' $&'%%&%'1& 10#''12%'

*t

K*t


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Barra 2

K 12000 $12000$12000 12000

* 0 1 0 00 0 0 1

0 012000 $12000

0 0

$12000 12000

+atri, K d- coord-nadas .o d& d% d20 0 00 12000 00 0 00 $12000 0

*t

K*t


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Barra '

K 222!'""0% $222!'""0%$222!'""0% 222!'""0%

* $02!"#%% 0'#1'0%! 0 00 0 $02!"#%% 0'#1'0%!

$20%!%&&2 20%!%&&2

!2#&!%20# $!2#&!%20#20%!%&&2 $20%!%&&2

$!2#&!%20# !2#&!%20#

+atri, K d- coord-nadas .o d# d! d1120!%2% $#%!'"&0' $120!%2%

$#%!'"&0' '0#'!01 #%!'"&0'$120!%2% #%!'"&0' 120!%2%#%!'"&0' $'0#'!01 $#%!'"&0'

*t

K*t


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Barra "

K 0 00 0

* 0 0 0 00 0 0 0

0 0

0 00 00 0

+atri, K d- coord-nadas .o d& d% d10 0 00 0 00 0 00 0 0

*t

K*t


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Barra &

K 0 00 0

* 0 0 0 00 0 0 0

0 00 00 00 0

+atri, K d- coord-nadas .o d1 d2 d!0 0 00 0 00 0 0

0 0 0

*t

K*t


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+atri, -structura1 2 ' " & % #

1%0%#%11& '0"1!12%'! $21"%%2&2% $10#''12%' 0 $12000 $120!%2%'0"1!12% !""01"11 $10#''12%' $&'%%&%'1& 0 0 #%!'"&0'

$21"%%2&2% $10#''12%22 21"%%2&2% 10#''12%' 0 0 0

$10#''12%' $&'%%&%'1"% 10#''12%' &'%%&%'1& 0 0 00 0 0 0 0 0 0

$12000 0 0 0 0 12000 0$120!%2% #%!'"&02!02 0 0 0 0 120!%2%#%!'"&0' $'0#'!0112 0 0 0 0 $#%!'"&0'

-s3a,ami-ntos

0!""2#1 00""#21'% 0

0 0!""2#1 4u-r,as 5u3 -rAs di4-r-ncia0 0""#21'% 41 $200 %00 $!00 d-s3a,ami-ntos d142 $1&00 0 $1&00 d24' 0 0 d'4" 0 0 d"

As-ntami-ntos d&

6-accion-s d%d#

F' 1'&%1!&"22 d!F" %#!02#114& 0

d2 4% $"0&1"1#1$10#''12%' d' 4# $1''00"#%!22$&'%%&%'1& d" 4! &'2010#2!10#''12%' d1&'%%&%'1& d2


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Fu-r,as int-rnas

0 01 0 Barra 1 4

0 0 d' 0 $%00 1 d" $00& %0

d1 0d2 0

Barra 2 4

d& 0 212&%&'d% 0 $212&%&'d2 $001%1#'!1

d1 $1##1'#!'2'%

d1 Barra ' 4 0 d& d# 0 0

$12000 d% d! 0 00 d2 d1 0

12000 d1 d2 0Barra " 4

d& 0 0d% $00& 0

d1 $001%1#'!1d2 $1##1'#!'2'%

Barra & 4 d1 $001%1#'!1 0d2 $1##1'#!'2'% 0d! 0


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0 00 00 00 0

d20 d&0 d%0 d10 d2


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0 00 00 00 0

d"0 d10 d20 d!0 d"


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!0 10 2

$120!%2% '

$#%!'"&0' "0 &0 %

#%!'"&0' # -s3a,ami-ntos120!%2% ! 1 $001&00%!

2 $010!!"'#'' 00""02%2%

d" 0d& 0

d% 0$001%1#'!2$1##1'#!'2 Fu-r,as int-rnas

00 Barra 10 2"00 1200 $2"00 $1200

$00& $2"00 $1200 2"00 120000 0

0$001&00%!$010!!"'#'

Barra 20 12000 0 $120000 $12000 0 12000


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*raa8o -4ormaci9n mm

$22'%0%###&com3r-si9n 1##1'#!'2'%

0traccion I:/0Dcom3r-si9n I:/0D


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6-accion-s4" '&22100"4& '24% ""!11'0

4 1%%%222 1%%%222

$1%%%222 $1%%%222

F $1'0%12"! $1'0%12"!1'0%12"! 1'0%12"!


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F 10!!!0'& 10!!!0'&$10!!!0'& $10!!!0'&


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Hoja de cálculo para armaduras de 5 barras

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