Ensayo de Resistencia a La Compresión en Cilindros de Concreto

ENSAYO DE RESISTENCIA A LA COMPRESIÓN EN CILINDROS DE CONCRETO  I.N.V E 410 -13

GOMEZ LOZANO WILSON ERNEY ERNEY 201311288 201311288

UNIVERSIDAD PEDAGÓGICA Y TECNOLÓGICA DE COLOMBIA FACULTAD DE INGENIERA ESCUELA DE TRANSPORTE Y VAS TUN!A 201"

ENSAYO DE RESISTENCIA A LA COMPRESIÓN EN CILINDROS DE CONCRETO I.N.V E 410 -13

GOMEZ LOZNO LOZNO WILSON ERNEY 20131288

E#$%&' (')*+,),#%/' *,$,#%' (')' ,/$/' *%% +% %$/#%% , ),(#/(% , $'+/'$

P,$,#%' %5 ING. EMERSON RODRIGO RODRGUEZ MORENO MONITOR5 MILTON ARIEL AGUILAR

UNIVERSIDAD PEDAGÓGICA Y TECNOLÓGICA DE COLOMBIA FACULTAD DE INGENIERA ESCUELA DE TRANSPORTE Y VAS TUN!A 201"

Contenido INTRODUCCIÓN..................................................................................................................4 OB!ERTIVOS.......................................................................................................................5 MARCO TEORICO..............................................................................................................6 DEFINICIONES................................................................................................................7 E6UIPOS UTILIZADOS....................................................................................................11 PROBETA........................................................................................................................11 MA6UINA DE ENSAYO................................................................................................13 PRENSA 7IDRAULICA.................................................................................................15 CALIBRADOR.................................................................................................................16 BALANZA........................................................................................................................17 PROCEDIMIENTO.............................................................................................................17 DATOS OBTENIDOS..........................................................................................................19 PROBETA 1......................................................................................................................19 PROBETA 2......................................................................................................................20 DIMENSIONES................................................................................................................21 CALCULOS Y ANALISIS DE RESULTADOS..................................................................22 PROBETA 1.....................................................................................................................22 PROBETA 2.....................................................................................................................23 CONCLUSIONES................................................................................................................26 BIBLIOGRAFÍA..................................................................................................................27

INTRODUCCIÓN

P%% (')*+,),#% +'$ ('#'(/)/,#'$ %//'$ ,# (+%$, ('# +% *(/(% & '9$,:%(/;# , +% )/$)% $, *'(,, % +% ,%+/<%(/;# ,+ *,$,#, /#='),. E# ,+ *'(,$' , =')%(/;# , # /#,#/,' , %$*', & :>%$ ,$ )& /)*'%#, ,+ ('#'(/)/,#' , +%$ *'*/,%,$ , +'$ )%,/%+,$ (')' +' $'# ,+ ('#(,' &% , #'$ *'*'(/'#% #% ?,%)/,#% #,(,$%/% *%% (')*,#, ,# ,#,%+ ,+ (')*'%)/,#' , /(?' )%,/%+ +' (%+ ,$ #,(,$%/' % +% ?'% , ,$%'++%  %,(%%),#, +'$ /$,@'$ , #,$%$ ,$(%$ ('# *'(,$' , $,% ,('#;)/(' & */#(/*%+),#, ('#=/%9+, E# ,$, ,*', $, *,$,#% +% ,,)/#%(/;# , +% ,$/$,#(/% % +% (')*,$/;# , (/+/#'$ , ('#(,' ('#='), % +% N')% I.N.V E 410 -13. E$, )'' , ,#$%&' $, ,=/,, % +% ,,)/#%(/;# , +% ,$/$,#(/% % +% (')*,$/;# , ,$*,(>),#,$ (/+>#/('$ , ('#(,' %#' (/+/#'$ )'+,%'$ (')' #(+,'$ ,%>'$ & ,$ +/)/%' % ('#(,'$ ('# #% ,#$/% $*,/' % 800 )3. E# +% %(%+/% $'# # $/# #),' , ,+,),#'$ ,$(%+,$ ('# , ,+ /#,#/,' , %$*', & :>%$ (,#% % $ /$*'$/(/;# *%% , , )%#,% ;*/)% & ('#$/,#, ,+/% (%+ ,$ ,+ )$ /,%+ *%% ++,:% % (%9' #% ('#$((/;# 9%$#'$, ,$% ,$(',#(/% ,# +'$ /*'$ , (%%$ , :%# % ,$/$/. E$ *' ,$' , ,$ , :/%+ /)*'%#(/% %#,$ , ,,(% (%+/, *'&,(' ,%+/<% '' /*' , ,#$%&'$ & *,9%$ % %:$ , +%$ (%+,$ $, *,% ,,)/#% ,+ (')*'%)/,#' , +'$ ,+,),#'$ % +% ?'% , +% /)*+,),#%(/;# , +%$ ,$(%$ ,# ,$, (%$' ?%9+%,)'$ ,+ ,#$%&' % (')*,$/;# &% , ,$% ,$ #% , +%$ *'*/,%,$ ,+ ('#(,' , )$ #'$ /#,,$% ,+ ('#(,' (')' )%,/%+ , ('#$((/;# *,$,#% %+% ,$/$,#(/% % +% (')*,$/;# *,' ('# 9%% ,$/$,#(/% % +% ,#$/;# ,$ *' ,$' , ,# ,$, +%9'%'/' $, 9$(% ,,)/#%   %# ,$/$,#, ,$ # ('#(,' (%#' ,$, ,$ $'),/' % #% =,<% %/%+ & +'$ ,$=,<'$ & ,=')%(/'#,$ , $, ,#,%# % 9%$, , +% %((/;# , ,$% =,<%.

5

OBJERTIVOS GENERAL D,,)/#% +% )/)% ,$/$,#(/% % +% (')*,$/;# , '$ (/+/#'$ , ),$% , # ('#(,' =,#, % #% (%% %*+/(%% %/%+),#,.

ESPECÍFICOS  A#%+/<% ,+ (')*'%)/,#' ,+ (/+/#' , ('#(,' %+ $, $'),/' % #% =,<% , (')*,$/;# R,('#'(, & ,,)/#% , )%#,% *(/(% %+#%$ *'*/,%,$

•

),(#/(%$ , +'$ )%,/%+,$ $'),/'$ M,/ %+#%$ *'*/,%,$ =>$/(%$ , +'$ )%,/%+,$ $'),/'$ C%+(+% ,+ );+' , ,+%$/(/%  A*,#, ,+ *'(,/)/,#' , ,$, ,#$%&' % , $, 9%$, *%% ,+ ('#'+ , (%+/% , +%$ '*,%(/'#,$ , '$/=/(%(/;# ),<(+%' & ('+'(%(/;# ,+ ('#(,'.

MARCO TEORICO  A +' +%' , +% ?/$'/% +'$ ('#$(',$ $/,)*, ?%# 9$(%' *,=,((/'#% +'$ *'(,$'$ , ('#$((/;# & /+/<% )%,/%+,$ , %+% ,$/$,#(/% $/,#' ,+ ('#(,' #' , +'$ )$ *,=,/'$.

6

C')' $%9,)'$ ,+ ('#(,' ?'& ()*+, # *%*,+ /)*'%#, ,# +% ,$(% , (%$/ '%$ +%$ '9%$. !$%),#, *', #% , $$ */#(/*%+,$ *'*/,%,$ ,$ $ %+% (%*%(/% *%% $'*'% /:,$%$ (%%$ , (')*,$/;#.

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,+%/:%),#, )%&',$ , +% *'9,% *%% ,#$%&' , (')*,$/;# *%% '9,#, # %' %*'*/%' , ,$%9/+/% , +% */,<%. E$' $, %(, ,# +% #,(,$/% , #% )/#% , ,#$%&' , (%*%(/% ,+%/:%),#, %#, ' *'9,%$ %# *,,@%$ & *' +' %#' %# ('%$ , ,$+% /=>(/+ '9,#, , ,++%$ ),/(/'#,$ , ,=')%(/;# , *,(/$/;# %,(%%. S, $*'#, , $, ,$,%# +%$ (%%(,>$/(%$ $/)*+,$ ,+ )%,/%+ & #' +% %((/;# , +'$ )/,)9'$ ,$(%+,$ (')' ('+)#%$ , )'' , +% %,#(/;# $, +/)/% %> %+ 9+', , (')*,$/;# (''.

DEFINICIONES

Cemento E+ (,),#' ,$ #% , +'$ ,+,),#'$ */#(/*%+,$ ,+ ('#(,' , $, =')% % *%/ , #% ),<(+% , (%+/<% & %(/++% (%+(/#%% & *'$,/'),#, )'+/% ,+ (%+ *'$,, +% *'*/,% , ,#,(,$, %+ ,#% ,# ('#%(' ('# ,+ %%. A+ $,  ),<(+%' ('# %,%'$ *,'$ (')' %:% & %,#%H & %% (,% #% ),<(+% *+$/(% #/='), )%+,%9+, , (%%(,>$/(%$ *+$/(%$ ('# *'*/,%,$ %?,,#,$ , $'+//=/(% ,# ?'%$ & ,#,(, , )%#,% (,(/,#, %#, :%/%$ $,)%#%$ ?%$% %// $ ,$/$,#(/% (%%(,>$/(% ,$% ),<(+% %/,, ('#$/$,#(/% *,% , $, ,#')/#% ?')/;# ' ('#(,'.

Agregados S, ,=/#, % +'$ %,%'$ (')' %#'$ ' =%),#'$ +'$ (%+,$ $'# $%+),#, *,'$ & (&' *'*;$/' ,$ '% I% ),<(+% , (%%(,>$/(%$ =%:'%9+,$ %$> (')' %)9/# /$)/#/ $ ('$' E$'$ ('#$/&,# I% )%&' *%, , +% )%$% ,+ ('#(,' ,*,$,#%#' ,#, ,+ 0 & ,+ 8JK , $ *,$' ,9/' % ,$' ,$ , +%$ *'*/,%,$ , +'$ %,%'$ $'# %# /)*'%#,$ *%% +% (%+/% =/#%+ , +% ),<(+%. L'$ %,%'$ ,9,# *'$,, (%%(,>$/(%$ , =%:',<(%# %+ ,$%'++' , (/,%$ *'*/,%,$ ,# +% ),<(+% , ('#(,' ,#' , ,++%$ ,$#5 +% %9%%9/+/% +% %?,,#(/% ('# I% *%$% & ,+ ,$%'++' , ,$/$,#(/% ),(#/(%. 

L'$ %,%'$ ('#=')%# ,+ ,$,+,' %#+% ,+ ('#(,' & $'# ,+ ,+,),#' )%&'/%/' ,+ ('#(,' *' +' , $'# ,$*'#$%9+,$ , %# *%, , +%$ (%%(,>$/(%$ ,+ )/$)'. L'$ %,%'$ $'# ,#,%+),#, /#,,$ & ,$%9+,$ ,# $$ /),#$/'#,$.

Conreto! E+ ('#(,' ,$ # )%,/%+ (')*,$' =')%' *' %% (,),#' & %,%'$ E+ (,),#' ,$ # )%,/%+ ('#+'),%#, , %+ ),<(+%$, ('# %% , ?/%%$, $, ('#:/,, ,# #% *%$% )'+,%9+, ('# *'*/,%,$ %?,,#,$ , ,# *'(%$ ?'%$ =%% & $, ,#,(,. L% */#(/*%+ (%%(,>$/(% ,$(%+ ,+ ('#(,' ,$ , ,$/$, )& 9/,# +'$ ,$=,<'$ % (')*,$/;# *,' #' /,#, 9,# (')*'%)/,#' (%#' ,$ $'),/' % '' /*' , ,$=,<' (')' %((/;#. =+,/;# ('%#, ,#, ''$ ,9/' % ,$% %<;# ,#,%+),#, $, ?%(, $' ,+ ('#(,' %$'(/%% % (/,%$ %)%%$ , %(,' *%% *', ,$/$/ '' /*' , ,$=,<'$ ,$% (')9/#%(/;# , ('#(,' ('# %)%%$ , %(,' $, ,#')/#% ('#(,' %)%'.

Frag"ado # end"reimiento de$ onreto! EI *'(,$' , =%%' & ,#,(/)/,#' ,$ ,+ ,$+%' , ,%((/'#,$ >)/(%$ , ?/%%(/;# ,#, +'$ (')*'#,#,$ ,/ (,),#'. L% =%$, /#/(/%+ , ?/%%(/;# $, ++%)% =%%' & $, (%%(,/<% *' ,+ *%$' , I% *%$% ,+ ,$%' =+/' %+ ,$%' $;+/'. E$' $, '9$,:% , =')% $,#(/++% *' $/)*+, *,$/;# ('# # ,' $'9, +% $*,=/(/, ,+ ?')/;#. P'$,/'),#, ('#/#%# I%$ ,%((/'#,$ , ?/%%(/;# %+(%#<%#' % ''$ +'$ ('#$/&,#,$ ,+ (,),#' , *':'(%# ,+ ,#,(/)/,#' , +% )%$% & , $, (%%(,/<% *' # *',$/:' ,$%'++' , ,$/$,#(/%$ ),(#/(%$.

Resistenia! L% ,$/$,#(/% % +% (')*,$/;# $, *,, ,=/#/ (')' +% )/)% ,$/$,#(/% ),/% , # ,$*(/),# , ('#(,' ' , )',' % (%% %/%+.

9

G,#,%+),#, $, ,*,$% ,# /+'%)'$ *' (,#>),' (%%' I()2H % #% ,% , 28 >%$ $, +, ,$/#, ('# ,+ $>)9'+' = C. L% ,$/$,#(/% ,+ ('#(,' % +% (')*,$/;# ,$ #% *'*/,% =>$/(% =#%),#%+ & ,$ =,(,#,),#, ,)*+,%% ,# +'$ (+(+'$ *%% /$,@' , *,#, , ,/=/(/'$ & '%$ ,$(%$. E+ ('#(,' , $' ,#,%+/<%' /,#, #% ,$/$,#(/% % +% (')*,$/;# ,#, 210 & 3J0 () (%%' U# ('#(,' , %+% ,$/$,#(/% /,#, #% ,$/$,#(/% % +% (')*,$/;# , (%#' ),#'$ 420 () (%%'. L% ,$/$,#(/% % +% =+,/;# ,+ ('#(,' $, /+/<% ,#,%+),#, %+ /$,@%  *%:/),#'$ & '%$ +'$%$ $'9, ,+ ,,#'. L% ,$/$,#(/% % +% (')*,$/;# $, *,, /+/<% (')' >#/(, , +% ,$/$,#(/% % +% =+,/;# #% :,< , ,#, ,++%$ $, ?% ,$%9+,(/' +% ,+%(/;# ,)*>/(% *%% +'$ )%,/%+,$ & ,+ %)%@' ,+ ,+,),#' ,# (,$/;#. L% ,$/$,#(/% % +% =+,/;#. T%)9/# ++%)%% );+' , *% *%% # ('#(,' , *,$' #')%+ $, %*'/)% % ),#' ,+ . % 2."J :,(,$ ,+ :%+' , I% %>< (%%% , +% ,$/$,#(/% % +% (')*,$/;#.

Retrai%n de$ onreto E$, *'(,$' ,$ ),/%#, ,+ (%+ ,+ ('#(,' $=, #% ,%*% , /$)/#(/;# , $ :'+),# ' ,#('/)/,#' I% (%+ $, ,9, % I% *,/% , %% %#, I%$ */),%$ ?'%$ ++,%#' % *'(/ /,%$ ,# +'$ ,+,),#'$. E$, =,#;),#' $, *,, /$)/#/ /$/9&,#' I%$ %)%%$ , %(,' %,(%%),#, &% , I% ,$/#,# & I% ,*%,# , =')% )$ ('#:,#/,#,. L% ,%((/;# ,*,#, , #),'$'$ =%(',$ %+,$ (')' I% ,'),>% , I%$ */,<%$. I%$ ('#/(/'#,$ %)'$=#(%$ , :,+'(/% , :/,#' ?),% & ,)*,%% & I% *'*'(/;# , +'$ (')*'#,#,$ , I% ),<(+% AI %),#% ,+ %% ' %+ %),#% ('##%),#, I% '$/$ , (,),#' & %%. ,$ ,(/ %+ %),#% I% *%$% I% ,%((/;# $, ?%(, )%&'. E+ ,(,$' , +%=/#'$ %),#% ,+ ,,/)/,#' , %% *%% )%#,#, I% =+/,< ('# +' (%+ ?%& ,(,$' , %% & % $ :,< )%&' ,%((/;# *' $,(%'

Es&"er'o de om(resi%n

10

E# ,#,%+ (%#' $, $'),, # )%,/%+ % # ('##' , =,<%$ $, *'(, %#' =+,/;# (')' (/<%++%)/,#' ' '$/;# ''$ ,$'$ ,$=,<'$ ('#++,:%# +% %*%/(/;# , ,#$/'#,$ %#' , %((/;# (')' , (')*,$/;#. A#, ,# /#,#/,>% $, /$/#, ,#, ,+ ,$=,<' , (')*,$/;# %/%+H & +%$ ,#$/'#,$ , (')*,$/;#. E# # */$)% ),(#/(' ,+ ,$=,<' , (')*,$/;# *,, $, $/)*+,),#, +% =,<% ,$+%#, , %(% $'9, #% ,,)/#%% $,((/;# %#$:,$%+ %+ ,, 9%/(#/(' , /(?' */$)% +' , /,#, ,+ ,=,(' , %('% +% */,<% ,# +% /,((/;# , ,, 9%/(#/('. L%$ */,<%$ */$)/(%$ $'),/%$ % # ,$=,<' , (')*,$/;# ('#$/,%9+, $'# $$(,*/9+,$ , ,*,/),#% *%#,' =+,/'#%+ *'  +' , $ (',(' /),#$/'#%' ,/,, ,%)/#% /(?' /*' , #' +/#,%+/% ,')/(%.

11

E)*IPOS *TILI+ADOS PROBETA L%$ ),$%$ , ('#(,' % $, /+/<%%$ ,# +% *,*%%(/;# , +%$ *'9,%$ (/+>#/(%$ % $, ,)*+,%%$ ,# +'$ ,#$%&'$ , ,$/$,#(/% ,# (')*,$/;# N/##% , L%$ 9%$,$ , +'$ ,$*,(>),#,$ , ,#$%&' $, ,9, $,*%% , L% *,*,#/(+%/% ,$*,(' ,+ ,, ,+ ,$*(/),# ,# )$ , 0.J ,/:%+,#,$ % 3 )) ,# 300 )) Q0.12 ,# 12 %*'/)%%),#,H. L'$ ,,)'$ , # ,$*(/),# , #' $,% *+%#' ,#' , 0.0J )) 0.002H ,9,# $, %$,%'$ ' ,$),/+%'$ ' ,=,#%'$ , %(,' ('# +' /#/(%' ,# L% #')% INV E403 ' $/ $, *,)/, , %(,' ('# L% #')% NV E408. E+ /),' $%' *%% (%+(+% L% $,((/;# %#$:,$%+ ,+ ,$*(/),# $, ,9, ,,)/#% ('# #% *,(/$/;# , 0.2J )) 0.01H *'),/%#' '$ /),'$ ),/'$ ,# #+' ,(' #' ('# ,$*,(' %+ '' ,# L% )/% ,+ ,$*(/),#.

I)%,# 15 *'9,% =,#,5 A'  12

E+%9'%(/;# , +%$ *'9,%$5 1. S, ,%+/<%# ,# )'+,$ ),+/('$ (/+>#/('$ , 1J () , /),' & 30 () , %+% >/'$ /#,=')%9+,$ & #' %9$'9,#,$ #%'$ ,# %(,/, )/#,%+ , #' %%, %+ (,),#' & ,:/, $ %?,,#(/%.

F/% 15 )'+, , +% *'9,% =,#,5 ?*5,$(%$,?')/'#%)%'.9+'$*'.(').(' 2. C'+'(% +% ),<(+% ,# ,+ )'+, , %+ =')% , ,$% ,, 9/,# /$/9/%

F/% 25 /$/9(/;# , +% ),<(+% =,#,5 ?*5,$(%$,?')/'#%)%'.9+'$*'.(').(' 3. D,9,# ('#$,:%$, 9%' +%$ )/$)%$ ('#/(/'#,$ % +%$ ,$(%$ , ,=/,,#.

13

F/% 35 ('#$,:%(/;# , *'9,%$ =,#, ?*5,$(%$,?')/'#%)%'.9+'$*'.(').(' 4. R,/% ,+ )'+, ('# )(?' (/%'. E$' $, ?%(, 24 ?'%$ ,$*$ , $ ,+%9'%(/;# ,% ,+ *'(,$' , (%'.

MA)*INA DE ENSA,O L% )/#% *%% ,#$%&'$ , (')*,$/;# , ('#(,' ,$ (')*,$% *' # ,/*' */#(/*%+ #% =,#, ?/+/(% # ('#'+%' & # $/$,)% , ('#'+ (')*%/<%'. A,)$ ?% $/' ,$*,(/%+),#, /$,@%% *%% ,%+/<% *,9%$ ' ,#$%&'$ , (')*,$/;# , ('#(,'. S *+%(% );:/+ ,$ %((/'#%% *' ,#,>% ,+(/(% ?%$% +'% %$% +% <'#% , (')*,$/;# ,$,%%. P' '% *%, ,$% )/#% *%% ,#$%&'$ , (')*,$/;# $, (%%(,/<% *' $$ =#(/'#,$ , (%% %')/(% % :,+'(/% ('#$%#, :/$%+/<%(/;# , +'$ :%+',$ , =,<% % %:$ , $ *%#%++% //%+ *'(,$%)/,#' %')/(' , +'$ %'$ , /)*,$/;# ,+ ,*', & +% (:% ,+ ,#$%&'. A/(/'#%+),#, #,$% )/#% *%% ,#$%&'$ , (')*,$/;# , ('#(,' ,$ # ,/*' /,%+ *%% #/:,$/%,$ /#$/'$ , /#:,$/%(/;# & ,*%%),#'$ , /#:,$/%(/;# , (')*%@>%$ ,# ,+ $,(' , )%,/%+,$ *%% +% ('#$((/;#. C'# ,+ =/# , '=,(, )%&',$ #/:,+,$ , $,/% %#, +% '*,%(/;# , #,$' *'(' ?,)'$ ,/*%' +% )/#% *%% ,#$%&'$ , (')*,$/;# , ('#(,' ('# :%/'$ $/$,)%$ , *',((/;# /#(+&,#' ,+ +/)/%' , *'$/(/'#%)/,#' *%% ,+ (/+/#' /#,*' , ,),,#(/% & +% =#(/;# , %*%%' %')/(' ,# (%$' , $'9,(%% (''(/(/' & =% ,#, '%$. 14

 A,)$ ,$% )/#% (,#% ('# #% <'#% , (')*,$/;# (,%% ('# # ://' ,)*+%' %#$*%,#, ('# ,+ =/# , *,:,#/ +% /$*,$/;# , +%$ *%>(+%$ , ('#(,' '%$. S #/% , 9')9,' , %(,/, /)*'%% , I%+/% $, (%%(,/<% *' ,#,% 9%'$ #/:,+,$ , /' %#, $ '*,%(/;# ('# %+'$ #/:,+,$ , ,$%9/+/% & $/# /)*%('$. A$> (')' $ :+:+% , ('#'+ $,:' %)9/# /)*'%% ,$, I%+/% %%#/<% #% %+% *,(/$/;# %#, +% ,)/$/;# , =,<% , %((/;#. A/(/'#%+),#, $ ,$(% , '9+, ,$*%(/' ('# ?$/++'$ , %$, *,)/, , +% <'#% , (')*,$/;# ' ,#$%&' $, %$, , )%#,% ,+(/(% +' (%+ ('#/9&, % $ /$,@' (')*%('.

I)%,# 25 M%/#% , ,#$%&' =,#,5 A' 

PRENSA -IDRA*LICA P,#$% ?/+/(% , %+% ,$%9/+/% *'%)%9+, *%% ,#$%&'$ % (')*,$/;# , (/+/#'$ (')*,$% *' ('#$'+% , )%#' ('# /#/(%(/;# & ('#'+. C)*+, ('# #')%$ ASTM ISO AAST7O & NTC. 15

P%#%++% , I#/(%(/;# //%+ (%,#(/;),' +)/#'$' *%% /#/(%(/;# , +% :,+'(/% , %*+/(%(/;# , (%% ,(+%' , ),)9%#% & 9';# , *%%% , ,),,#(/%. E+ '*,%/' $,+,((/'#% ,+ ,#$%&' & +'$ *%),'$. C'# $;+' *,$/'#%  #% ,(+% ,+ ,#$%&' $, /#/(/%. C%#' +% ),$% =%++% $, ,/,#, $, ),)'/<%# +'$ ,$+%'$ , ,#$%&' & +% *,#$% :,+:, % ,% +/$% *%% ,+ $//,#, ,#$%&'. D%#, ,+ ,#$%&' $, /#/(% +% =,<% ,+ ,$=,<' & :,+'(/% , %*+/(%(/;# , (%% M,)'/% *%% JJ" ,#$%&'$. G%%5 F,(?% ?'% /*' , ,#$%&' =,<% )/)% ,$=,<' & :,+'(/% , ,#$%&'. S%+/% , %'$ :>% RS232 *%% /)*,$/;# , ,$+%'$ , ,#$%&'. LA PRENSA 9%$/' , (%%H ,$ ?,(?% ,# %(,' )%(/<' , %+% ,$%9/+/% ('# ,/++%$ & =/#%+,$ , (%,% *%% *',((/;# *+%'$ , (%% , 2J0 )) , /),'.

I)%,# 35 *,#$% ?/+/(% =,#,5 %' 

CALIBRADOR E+ a$i.re %)9/# ,#')/#%' arta.%n de orredera ' (ie de re# ,$ # /#$),#' *%% ),/ /),#$/'#,$ , '9,'$ ,+%/:%),#, *,,@'$ ,$,

16

(,#>),'$ ?%$% =%((/'#,$ , )/+>),'$ 110, )/+>),' 120 , )/+>),' 1J0 , )/+>),'H. E# +% ,$(%+% , +%$ *+%%$ /,#, /:/$/'#,$ ,/:%+,#,$ %11" , *+%% & ,# $ #'#/' , 1128 , *+%%$. C'#$% , #% ,+% ('# #% ,$(%% ,# # ,,)' $'9, +% (%+ $, ,$+/<% '% ,$/#%% % /#/(% +% ),/% ,# #% ,$(%+%. P,)/, %*,(/% +'#/,$ , 110 120 & 1J0 , )/+>),' /+/<%#' ,+ #'#/'. M,/%#, */,<%$ ,$*,(/%+,$ ,# +% *%, $*,/' & ,# $ ,,)' *,)/, ),/  /),#$/'#,$ /#,#%$ & *'=#/%,$. P'$,, '$ ,$(%+%$5 +% /#=,/' )/+/)/(% & +% $*,/' ,# *+%%$.

I)%,# 45 (%+/9%' F,#,5 A'

BALAN+A L% 9%+%#<% *,, $, ,$(/*% (')' # %*%%' (,%' %/=/(/%+),#, *' ,+ ?')9, *%% (%+(+% ,+ *,$' , # ,+,),#'. E$, *'(,/)/,#' $, ,%+/<% % *%/ , , $, ('+'(% %+ ,+,),#'  '9,' % *,$% ,# #% $*,=/(/, & +% )/$)%

17

(%+(+% % %:$ , /=,,#,$ )''$ $ *,$' , )%#,% (%$/ /#$%##,%.

PROCEDIMIENTO D,,)/#% +%$ /),#$/'#,$ , +%$ ),$%$ ('# ,+ $' , +% ,+% & ,+ (%+/9%' $, ')%'# 3 ),/%$ , (%% /),#$/;# *%% %$> ,,)/#% # *'),/' ,+ (%+ $, /+/<%' % +' +%' ,+ ,#$%&' & $, , ),' *,(/$/;#.

I)%,# J5 *'9,% =,#,5 A'  C'+', ,+ ,$*(/),# ,# ,+ %*%%' , (%% , %+ )%#,% , ,, (,#%' ,# +% *+%/#% /#=,/'. A$, ,+ /#$),#' , (%% (/%'$%),#, , %+ )%#,% , +% *+%/#% $*,/' %*,#%$ ?%% ('#%(' ('# ,+ ,$*(/),#.

1

I)%,# "5 *'9,% ,# +% )/#% , ,#$%&' =,#,5 A'  L+,:, % (,'$ ,+ /#/(%' , ,=')%(/;#. A*+/, +% (%% , %+ )%#,% , $, *'<(% #% ,=')%(/;# %/%+ % #% :,+'(/% , 2 % 2.JK *' )/#'. R,/$, +'$ :%+',$ , (%% ,=')%(/;# & /,)*' % /#,:%+'$ $=/(/,#,$ *%% ,=/#/ +% (:% ,$=,<'-,=')%(/;# #')%+),#, $'# $=/(/,#,$ 10 % 1J *#'$H. L% :,+'(/% , ,=')%(/;# ,9, ,$(',$, , %+ )%#,% , ,+ /,)*' #,(,$%/' *%% +% =%++% #' ,(,% , 1J )/#'$ #'% "H. C'#/#, %*+/(%#' (%% ?%$% , +'$ :%+',$ , (%% ,(,<(%# %+ %),#% +% ,=')%(/;# ' ?%$% , $, %+(%#(, #% ,=')%(/;# /%+ % 1JK.  L% :,+'(/% , ,=')%(/;# /+/<%% *%% ,#$%&% ),$%$ $,++%%$ *,, /$)/#/$, $/ $, ('#$/,% ,$,%9+, *%% '9,#, ),',$ ,$+%'$ ,# ,+ ,#$%&'. R,/$, +% :,+'(/% , ,=')%(/;# ,# ,+ /#='), , +'$ %'$ , ,#$%&'.

19

DATOS OBTENIDOS PROBETA 1

T!"#! 1$ %&'(#)!*+' ,%+"&)! 1- (&/)&$ LABORATORIO UPTC 30000.000

2J000.000

20000.000

C%%M*%H

1J000.000

10000.000

J000.000

0.000 0.0

200.0

400.0

"00.0

800.0

1000.0

/,)*' $,H

I!&/ 1$ %!! )&,+ ' C!%! M,! PROBETA 1- F(&/)&$ UPTC 20

1200.0

PROBETA 2

T!"#! N+ 2$ %&'(#)!*+' ,%+"&)! N+ 2- (&/)&$ UPTC

35000.000 30000.000 25000.000 20000.000

Carga(Mpa)

15000.000 10000.000 5000.000 0.000 0.0

200.0

400.0

600.0

800.0 1000.0 1200.0 1400.0

Tiempo(seg)

I!&/ 2$ %!! )&,+ ' !%! M,! PROBETA N+ 2- F(&/)&$ UPTC

21

DIMENSIONES

PROBETA /

DIAMETRO mm0

ALT*RA1mm0

PESO12g0

PROMEDIO

153 152.5 152.5 152.5 152.5 152.5 152.5833333

300.5 301 301 300.8333333

11.78

PROBETA 3

DIAMETRO mm0

ALT*RA1mm0

PESO12g0

153 153 153.48 153.1 155.5 153 153.513

302 303 303 302.667

12.89

CONCRETO

CONCRETO PROMEDIO

F,#,5 *'*/%

22

CALCULOS Y ANALISIS DE RESULTADOS

PROBETA /  ,% ,+ (/+/#'5  A =

πd 4

2

2

A=

 

π  ¿( 152.5833333 mm ) 4

2

=18285.384 mm

V'+),# ,+ (/+/#'5 2

3

V = π r h→ A =5500844 mm

D,#$/%5  D=

 M    11.78 Kg 3 −6 = = 2.1415∗10  Kg / mm 3 V  5500844 mm

 ρ=2141.5  Kg / m

3

M;+' , ,+%$/(/% ,+ ('#(,'5 C%% ,$*,(/=/(% QMP% 5 2J1 C%% QN5 4J  A ('#/#%(/;# ?%++%)'$ ,+ 40K , +% (%% 2J1X 0.4 10.0"8 M*% D,$*$ , ,$' , 9/(% ,# +% =/(% ,$=,<' V$ ,=')%(/;# #/%/% ,+ 40 K , +% (%% 9/(%#' ,# ,+ ,, +'$ 10.0"8 M*% & ,,)/#%#' +% ('',#%% *%% /(?' *#'

23

P%% ,,)/#% ,+ )'+' ,+$/(' ,+ (/+/#' , ('#(,' $, ?%++% +% *,#/,#, , # $,),#' ,(' ('#'(/,#' +%$ ('',#%%$ ),#(/'#%%$ %#,/'),#,. D, ,$% )%#,% $, 9$(% ,# +% =/(% '$ *#'$ , %+ $, #/'$ , #% +>#,% ,(%' +' )$ (,(%#' % ,++%H

deformacion unitaria Vs Esfuerzo 12 10 8 6

Esfuerzo (Mpa)

4 2 0 0 -2

0

0

0.01

0.01

0.01

Deformacion unitaria(mm/mm)

Gráfca 3: d!"r#ac$%& '&$(ar$a )* E*!'r+", !'&(: a'("r

C'',#%%$ P%% 10.0"8 M*%  10,06781154 10,89753434

 0,010730313 0,011155802

Y  2 −Y 1 10,89753434 −10,06781154  PENDIENTE = =  X 2 − X 1 0,011155802−0,010730313  PENDIENTE=1950.045

P' %#' ,+ );+' , +% ,+%$/(/% $, /%+ % +% *,#/,#,.

24

0.01

PROBETA 3 P,$'12.8 C%% Q N  JJ4.2  ,% ,+ (/+/#' m  A =

πd

153.513 m ¿

2

¿ ¿2



4

  18J08.882)) 2

π ∗¿  A =¿

R,$/$,#(/% , +% (')*,$/;# C =

554.2  KN ∗1000 2

18508.882 m m

  2.42N)) 2H QMP%

V'+),# ,+ (/+/#' m 76.7565 m 2

¿

¿

V = π r h→ V = π  ¿

D,#$/%  D=

 M    12.89  Kg 3 −6 = =2.3009 ∗10  Kg / m m 3 V  5602027.949 mm

 ρ=2300.9  Kg / m

3

R,+%(/;# , %+%- /),' relacion=

 L 302.667 mm = 1.9715  D 153.513 mm

C'# ,+%(/;# %+ *%;# , =%++% $, *,, '9$,:%5 25

PROBETA 1 PROBETA 2 I),#,$5 *'9,%$ =%++%%$ =,#,5 A'  PROBETA 15 TIPO 4 PROBETA 25 TIPO 3 T,#/,#' ,# (,#% +% #')% INVE 410-13 ,+ (/+/#' , ('#(,' ,9, ,#, #% ,#$/% $*,/' % 800 )3 +' (%+ $, ()*+, ,# ,+ ,#$%&' %+ '9,#, #% ,#$/% , 2141.J )3 & 2300. )3 *%% +%$ *'9,%$ 1 & 2 ,$*,(/:%),#,.

26

S, ,,)/#; +% ,$/$,#(/% , (')*,$/;# *%% +% *'9,% 2 '9,#/,#' # :%+'  , 2.42 MP% /%+),#, $, ,,)/#; +% ,+%(/;# /),'$ $'9, %+%$ '9,#/,#' # :%+' , 11J ('# +' (%+ $, '9$,:% , ,$ =,% ,+ %#' , +'$ :%+',$ ,*,$'$ ,# +% %9+% , +% #')% INVE 410-0. D, ,$% )%#,% $, ,(, , #' ?%& , ?%(, (',((/;# % +% ,$/$,#(/% , (')*,$/;#. C'# +% $//,#, =/(% $, '9$,:% +% ,+%(/;# E$=,<'-D,=')%(/;# #/%/% ),/%#, +% (%+ $, ,,)/#; ,+ );+' , ,+%$/(/% (')' +% *,#/,#, ,+ $,),#' ,('.

CONCLUSIONES

S, ,%+/<; ,+ ,#$%&' , ,#$%&' , ,$/$,#(/% % +% (')*,$/;# ,# (/+/#'$ , ('#(,' ,$%9+,(/' *' +%$ #')%$ I.N.V , 410 -13 ,+ /#$/' #%(/'#%+ , :>%$  ,$' #'$ *,)//; ,,)/#% (%%(,>$/(%$ ),(#/(%$ ,+ ('#(,' % *%/ ,+ %#+/$/$ , %'$ '9,#/'$ ),/%#, +% (')*,$/;# (')' +' =, +% ,#$/% ,+%(/;# ,=')%(/;# #/%/% :$ ,=')%(/;# /*' , =%++% );+' , ,+%$/(/% ,#, '%$ L' %*,#/' ,# (+%$, ,$ =(/+),#, %*+/(%9+, ,# ,+ +%9'%'/' & % *%/ , +'$ ('#'(/)/,#'$ %//'$ *,:/%),#, ,# (+%$, $, *' '9,#, +% ,$/$,#(/% ,+ C'#(,' (%#' $, %*+/(% #% =,<% , (')*,$/;# ,$ ,(/ ,+ +/)' :%+'  %#,$ , +% =%++% ,+ )%,/%+ , $, ,#/,#, ,$ +% ,$/$,#(/% )/)% $/,#' ,$% ,$/$,#(/% % +% (')*,$/;# #% , +%$ (%%(,>$/(%$ ),(#/(% */#(/*%+,$ ,+ ('#(,'. S, ()*+/,'# ''$ +'$ '9,/:'$ *'*,$'$ ,# ,$, ,#$%&' D, )%#,% /#/:/%+ $/, %*'%#' % )/$ ('#'(/)/,#'$ ,#,%+,$ & )/ *,=/+ *'=,$/'#%+. 27

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

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