FACULTA FACUL TAD D DE D E INGENERÍA ING ENERÍA INGENERÍA CIVIL
COMPORTAMIENTO ELASTICO DEL HORMIGON
FECHA PRESENTACION: 19/10/2015 DOCENTE: VASQUEZ ALFARO, IVAN EUGENIO
ALUMNOS: TOCTO CABANILLAS, CABANILL AS, SAMUEL DAVID MENDEZ CASTRO WALDIR RODRIGO ESCOBEDO ESCOBE DO CASTAÑEDA ELVIS ADOLFO ESCOBAR REES FRANCISCO
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RESUMEN E! "#$"%&'# &( )$# *& !#( +'&%-!&( +.( -+#%'$'&( &$ ! "#$('%)""-$ *& #%( "--!&(, #% &!!# &! $.!-(-( *& ()( %#-&**&( 34(-"( +&".$-"( &( -$*-(&$(!& % !#6%% )$ '-+ "!-**7 P#% #'%# !*# &$'%& !( %#-&**&( +&".$-"( *&! "#$"%&'#, ! %&(-('&$"- ! "#+%&(-$ &( ! %#-&** +.( -+#%'$'& &( )(* &$ &! *-(&8# &('%)"')%! *& )&$'&(, %&(( &*-3-""-#$&(7 P#% &('#( +#'-#( %&()!' (-6$-3-"'-# %&!-% &$(#( ! "#$"%&'#, "#$ !#( ")!&( #*+#( *&3-$-% ()( %#-&**&( +&".$-"( '!&( "#+# &! +*)!# *& &!('-"-** &! "#&3-"-&$'& *& P#-((#$7
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I.
NORMATIVA
Ensayo para determinar la resistencia a la compresión compresión NTP 339.034. 339.034. Método Método de Ensayo Normaliz Normalizado ado para Resiste Resistencia ncia a la Compresión Compresión de Especímenes Cilíndricos de Concreto !TM C39"C39M # $%.
II.
MATERIALES : P%#&'( "-!4$*%-"( *& 15 "+ *& *-.+&'%# ;0 "+ *& !')%, ! ")!&( 3)&%#$ &!#%*( "#$ !#( +'&%-!&( &(&"-3-"*#( &$ ! T! T! <1=7 PROBET RELACI CEMENT ARENA PIEDRA AGUA A N° ON (a/c) O (Kg) (Kg) (Kg) (Kg) $ 0.% $.%0 &.00 &.00 0.'% ( 0.& $.%0 &.00 &.00 0.90 3 0.' $.%0 &.00 &.00 $.0% 4 0.) $.%0 &.00 &.00 $.(0 % 0.9 $.%0 &.00 &.00 $.3% & $ $.%0 &.00 &.00 $.%0 ' $.$ $.%0 &.00 &.00 $.&% Tabla (1): P%##%"-$ *& +'&%-!&( )(*#( &$ ! &!#%"-$ *& %#&'( "-!4$*%-"(7
III. II.
EQU EQUIPO IPOS Y HERRA ERRAMI MIEN ENT TAS: A. Elabo Elaboa!" a!"#$ #$ %& %& 'ob& 'ob&a a.. E>)-# % +&("!*# *& +'&%-!&( "#$('-')-*# #% )$ $*&? +&'.!-" ")*%* *& 07@ + #% 07@ +, )$ *-!&?# +&'.!-"#,
I*a+&$ (1): E>)-# )(*# &$ &! %#"&*-+-&$'# *& +&("!*#7 : +#!*&( "-!4$*%-"#( *& 15 "+ *& *-.+&'%# ;0 "+ *& !')% )&'(= +.( )$ %-!! +&'.!-" !-( *& 0 "+ *& !#$6-')* % &! %#"&(# *& "#!#""-$
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I*a+&$ (,): H&%%+-&$'( )(*( % "#!#""-$ *& ! +)&('% &$ &! +#!*&7
-. E$ao E$ao a la !o*'& !o*'&"# "#$. $. P%&$( -*%.)!-", ""-** 10 000 6737 V&%$-&%, ""-** 20 "+ %&"-(-$ *& 07005 "+7 V&%$-&%, R&6! +&'.!-" 6%*)* *& ;0 "+7
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I*a+&$ (/): E>)-#( &%%+-&$'( )(*( &$ &! &$(# *& "#+%&(-$7 IV. IV. PROCEDIM PROCEDIMIENT IENTO O A. Elaboa!"# Elaboa!"#$ $ %& lo lo &'&!0*& &'&!0*&$& $& %& !o$!&o. !o$!&o. E! %#"&*-+-&$'# (&6)-*# % ! &!#%"-$ *& !( %->)&'( 3)& &! (-6)-&$'& E$ %-+&% !)6% (& %#"&*- +&("!% !#( +'&%-!&( &$ !( %##%"-#$&(
-$*-"*( &$ ! '! $17 L)&6# (& )$'# !#( +#!*&( "-!4$*%-"#( "#$ &'%!&# % &-'% >)& &! "#$"%&'#
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-. E$ao E$ao %& &"&$!" &"&$!"aa a la !o*'&"# !o*'&"#$. $. P% &! &$(# ! "#+%&(-$ (& *&(%%#!! &! (-6)-&$'& %#"&*-+-&$'# *-.+&'%# -$-"-! ! !#$6-')* -$-"-! *& A$'&( *&! &$(# (& *&'&%+-$ &! *-.+&'%# !( &(&"4+&$&( *& "#$"%&'#, % &!!# (& '#+ *#( +&*-*( % &! *-.+&'%# *#( +&*-*( % ! !#$6-')* (& *&'&%+-$%#$ !( +&*-*(
%#+&*-#7 L)&6# (& "#!#"%#$ !( %#&'( &$ ! %&$( -*%.)!-" (& %&6-('% !
+.-+ "%6 (##%'* # "%6 *& %#')%
I*a+&$ (): C#+%&(-$ *& !#( +#!*&( "-!4$*%-"#( *& "#$"%&'# &$ ! %&$( -*%.)!-"7
V.
RESULTADOS A. Va"a!" Va"a!"#$ #$ %&l %"2*& %"2*&o o %& la 'ob&a 'ob&a %& !o$!&o. !o$!&o. RELACI PROBE ON TA N° (a/c)
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DIAMETRO INICIAL DIAMETRO FINAL (cm) (cm) D. D. D-1 D-2 DD-1 D-2 p!m p!m $%.(& $%.$0 1".1# $%.(9 $%.$% 1".22 0 0 $ 0 0 $ $%.($ $%.30 1".2" $%.30 $%.(( 1".2% 0 % 0 % # & $%.3% $%.3) 1".&% $%.44 $%.4( 1".'& % 0 # 0 0 $ $%.33 $%.3( 1".&2 $%.3) $%.3' 1".&
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% % 0 0 " " $%.(' $%.(( 1".2" $%.4% $%.() 1".&% $.$ % % 0 % $ # C3a%o (,): V%-"-#$&( *-+&'%!&( *& !( %#&'( &$(*(7
-. Va"a!" Va"a!"#$ #$ %& la lo$+" lo$+"3% 3% %& la 'ob&a 'ob&a %& !o$!&o. !o$!&o. LONGITUD INICIAL LONGITUD FINAL (cm) (cm) L. L. L-1 L-2 L-1 L-2 p!m p!m (9.90 (9.)0 (9.)0 (9.)0 0.% 2.#"$ 2.#$$ 0 0 0 0 (9.)% (9.90 (9.&0 (9.)0 0.& 2.#" 2.$$ 0 0 0 0 30.00 30.(0 30.00 30.$0 0.' &$.1$$ &$.$"$ 0 0 0 0 (9.'0 (9.90 (9.'0 (9.)0 0.) 2.#$$ 2."$ 0 0 0 0 (9.'0 (9.'0 (9.&0 (9.&0 0.9 2.$$ 2.%$$ 0 0 0 0 30.$0 30.(0 30.00 (9.90 $.0 &$.1"$ 2."$ 0 0 0 0 (9.40 (9.&0 (9.3% (9.40 $.$ 2."$$ 2.&" 0 0 0 0 C3a%o (/): V%-"-#$&( !#$6-')*-$!&( *& !( %#&'( &$(*(7
RELACI PROBE ON TA N° (a/c)
$ ( 3 4 % & '
C. E43&5o E43&5o a la !o*'&" !o*'&"#$ #$ %& la 'ob& 'ob&a a %& !o$!&o. !o$!&o. CARGA E,FUER DIAMET AREA PROBET RELACI APLICA O RO (cm*2 A N° ON (a/c) DA (Kg.+/cm (cm) ) (Kg.+) *2)
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D. D&4o*a!"# D&4o*a!"#$ $ lo$+"3%"$ lo$+"3%"$al al 3$"a"a 3$"a"a %& lo blo63& blo63& %& !o$!&o. !o$!&o. DEFORMACIO ARICION N PROBET RELACI DE LONGITUDINA A N° ON (a/c) LONGITU L UNITARIA D (cm) (cm/cm) $ 0.% (9.)%0 (9 (9.)00 0.0%0 $.$$1%"$'2 ( 0.& (9.)'% (9 (9.'00 0.$'% $.$$"#"'1 3 0.' 30.$00 30 30.0%0 0.0%0 $.$$1%%11& 4 0.) (9.)00 (9 (9.'%0 0.0%0 $.$$1%#"2 % 0.9 (9.'00 (9 (9.&00 0.$00 $.$$&&%$$& & $.0 30.$%0 (9 (9.9%0 0.(00 $.$$%%&&' ' $.$ (9.%00 (9 (9.3'% 0.$(% $.$$'2&2## C3a%o (7): D&3#%+"-$ !#$6-')*-$! )$-'%- *& !( +)&('%( *& "#$"%&'#7 LONGIT UD INICIAL (cm)
LONGIT UD FINAL (cm)
E. M#%3lo M#%3lo %& &la"! &la"!"%a% "%a% %& %& la 'ob&a 'ob&a %& !o$!&o !o$!&o.. MODULO DEFORMACIO E,FUER DE MODULO N PROBET RELACI O ELA,TICI DE LONGITUDINA A N° ON (a/c) (Kg.+/cm DAD ELA,TICID L UNITARIA *2) (Kg.+/cm AD (GPa) (cm/cm) *2) 1.&%%''1 $ 0.% (3.3 0.00$&'%04( 1&& " 1.$"2"' ( 0.& &(.9 0.00%)%''4$ 1$&& ' %.&"&1& 3 0.' $$%.$ 0.00$&&$$30 %2" 2
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*ra+ca del Mod,lo de Elasticidad en -,ncion de la relacion a"c
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F. D&4o* D&4o*a!" a!"#$ #$ 3$"a 3$"a"a "a a$9& a$9&a al. l. DIAMET PROBET RELACI RO A N° ON (a/c) INICIAL (cm)
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DIAMETRO FINAL (cm)
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DEFORMACI ARICION ON DE DIAMETRAL DIAMETR UNITARIA O (cm) (cm/cm) $.$$2%&"$' 0.040 % $.$$$&2$ 0.00% # $.$$'$%$2 0.0&3 " $.$$&$$$ 0.04' " $.$$$#1%% 0 0$3 1
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*ra+aca del Mod,lo de Elasticidad en -,ncion de la relacion a"c
Ga4"!o (1) (R&'&"%o): G%3-" +*)!# *&! &!('-"-** &$ 3)$"-$ ! %&!"-$ /"7
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Imag0 13 Proporcionamiento Proporcionamiento de materiales para elaoración del concreto. F40503 1,ente propia. A0! 23
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Imag0 &3 Proceso de c,rado del concreto con a,a sat,rada con cal. F40503 1,ente propia.
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