UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
PROYECTO ACADEMICO “DOSIFICACION DE MEZCLAS DE HORMIGÓN” TECNOLOGIA DEL HORMIGON CIV 2218”B” CONTENIDO I.-PRIMERA PARTE PARTE DOSIFICACIÓN DE MEZCLAS DE HORMIGÓN I.1.-Obj!"#$ I.2.-F%&'()&!$ !*+",$ I..-P+$,'")"&!$ I..-R/%0!('$/ II.-SEGNDA PARTE DETERMINACIÓN DE LA CONSISTENCIA DEL HORMIGÓN II.1.-Obj!"#$ II.2.-F%&'()&!$ !*+",$ II..-M(!+"(0 3%"4$ 5 (,,/$+"$/. II..-M$&!(j ' &/(5$ II.6.-P+$,'")"&!$ II.7.-Ob!&,"*& ' '(!$/ III.-TERCERA PARTE PARTE DETERMINACIÓN DEL CONTENIDO DE AIRE III.1.-Obj!"#$ III.2.-F%&'()&!$ !*+",$ IV.-CARTA PARTE DETERMINACIÓN DE LA RESISTENCIA IV.1.-Obj!"#$ IV.2.-F%&'()&!$ IV.2.-F%&'()&!$ !*+",$ IV..-M(!+"(0 IV..-M(!+"(0 3%"4$ 5 (,,/$+"$/. IV..-P+$,'")"&!$ IV.6.-Ob!&,"*& IV.6.-Ob!&,"*& ' '(!$/ V.-INTA PARTE SO DE ADITIVOS EN MEZCLAS DE HORMIGÓN V.1.-Obj!"#$ V.2.-F%&'()&!$ !*+",$ VI.-CONCLSIONES VII.-RECOMENDACIONES VIII.-BIBLIOGRAF9A I:.-ANE:OS
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
I.-PRIMERA PARTE PARTE DOSIFICACIÓN DE MEZCLAS DE HORMIGÓN I.1.-Obj!"#$ Diseñ! Diseñ! "# $e%&' $e%&' (e )*!$i+,# )*!$i+,# ! se! ".i'i%(* ".i'i%(* e# ' &*#s.!"&&i &*#s.!"&&i,# ,# (e es.!"&."! es.!"&."! /"e es.!0 e"es.* &*#(i&i*#es #*!$'es
I.2.-F%&'()&!$ !*+",$ D$/";",(,"*& 5 )<,0('$ '0 =$+)">*& L*s (i3e!s*s &*$*#e#.es (e ' $e%&' se (*si4i&# (e .' 4*!$ /"e e' )*!$i+,# !es"'.#.e !es"'.#.e .e#+ "# !esis.e#&i !esis.e#&i (e&"(5 "# $#e67i'i(( $#e67i'i(( /"e )+ *si7'e *si7'e s" &*'*&&i,#5 &*'*&&i,#5 e' $e#*! &*s.* *si7'e E' 9'.i$* !e/"isi.* ei+e e' e$'e* (e ' &#.i(( $#i$ (e &e$e#.* ;e' $s &*s.*s* (e '*s &*$*#e#.es< /"e e!$i. *7.e#e! !*ie((es (e&"(s C"#.* $e6*! es ' +!#"'*$e.! (e '*s 0!i(*s5 es.* es5 &"#.* $e#*! es e' 3*'"$e# (e '*s )"e&*s5 $e#*s s. (e &e$e#.* es #e&es!i ! !e''e#!'*s A(e$0s (e' +" #e&es!i ! ' )i(!.&i,# es #e&es!i +" ! )"$e(e&e! ' s"e!4i&ie (e '*s 0!i(*s A $e(i( /"e se ñ(e +"5 &!e&e ' 's.i&i(( 4'"i(e% (e ' $e%&' ;es.* $e6*! ' $#e67i'i((<5 e!* ' !esis.e#&i (is$i#"e &*$* &*#se&"e#&i (e' $*! 3*'"$e# (e )"e&*s &!e(*s *! e' +" 'i7!e P! !e("&i! e' +" 'i7!e &*#se!3#(* ' $#e67i'i((5 (e7e ñ(i!se &e$e#.*5 *! '* /"e5 e# &"#.* se !e4ie!e ' s. (e &e$e#.*5 ' !e'&i,# +"-&e$e#.* es e' !i#&i' 4&.*! /"e &*#.!*' ' !esis.e#&i (e' )*!$i+,# P! "# " # !e'&i,# +" &e$e#.* ((5 se se'e&&i*# ' $#i$ &#.i(( (e &e$e#.*5 e# =i'*s *! $> (e )*!$i+,#5 /"e !**!&i*#e ' $#e67i'i(( (ese( ;4i+ 12<
D"!#.e '!+* .ie$* ) si(* "s"' (e4i#i! 's (*si4i&&i*#es (e "# )*!$i+,# *! ' !e'&i,# e# 3*'"$e# * e# es* (e &e$e#.* !e# +!35 *! e6e$'* 1:2:? Es.e $@.*(* (e4i#e s*'$e#.e '*s &*$*#e#.es s,'i(*s 5 $e#*s /"e se i#(i/"e se!($e#.e ' !e'&i,#
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
+"-&e$e#.*5 es i#s"4i&ie#.e ! (e4i#i! ' !*ie((es (e' )*!$i+,# !es"'.#.e5 .#.* 4!es&* &*$* e#("!e&i(*
P! "# (e4i#i&i,# &*$'e. (e 's (*si4i&&i*#es es &."'$e#.e "s"' ese&i4i&! e' es* (e +"5 !e# 0!i(*s +!"es*s ".i'i%(* *! &( s&* (e &e$e#.* As5 "e(e (e4i#i!se "# $e%&' &*$* &*$"es. ;*! &( s&* (e =i'*+!$*s (e &e$e#.*< *! 2? =i'*+!$*s (e +"5 1 (e !e# 2 (e 0!i(*s +!"es*s O.!* $@.*(* ".i'i%(* $e#"(* ! (e4i#i! 's $s(s es ese&i4i&! e' es* .*.' (e &( &*$*#e#.e #e&es!i* ! *7.e#e! "# $e.!* &97i&* (e )*!$i+,# 4!es&* ; *! e6e$'* >1 + (e &e$e#.*5 18 + (e +"5 + (e !e# se& 11 + (e 0!i(* +!"es*<
I..-P+$,'")"&!$ 1+ P(/$ C(+(,!+"/!",(/ ;?,@21 >,)2 ;?,+@;?,8@218@ 2 >,)2 2'$ P(/$ C(&!"'(' ' (>%( ' )<,0('$ T()($ )(")$ &$)"&(0 @1 12”@.6)) S"& ("+ "&,0%"'$ C$&/"/!&,"( 40(/!",( -1 PH2@181 >)HJ
KA"+@1K
+ P(/$ R0(,"$& AC H /"& ("+ "&,0%"'$ ;?,+ @ 2 >,)2 AC@.662 P,@181.662 P,@2.8 >)H !$ P(/$ A>+>('$ >+%/$ MF@ 2. T()($ )(")$ &$)"&(0 @1 12”@.6)) P%AG@1768. >) V$0%)&AG@ . ) PAG@1768..@128.81 >)H 6!$ P(/$ E/!")(,"$& '0 4/$ '0 H CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
H /"& ("+ "&,0%"'$ T()($ )(")$ &$)"&(0 @1 12”@.6)) PH@21 >) 7!$ P(/$ D$/";",(,"$& 4$+ 4/$ PH@P,PAGPAFPH2 PAF@ 772. >)H )$ P(/$ D$/";",(,"$& 4$+ #$0%)& PAF@2.211-.61 PAF@67.6 >)H 8#$ P(/$ C$++,"$& 4$+ KABS 5 K HM P(+( 1)H C)&!$ @ 2.8 > A+&( @ 78.6 > G+(#( @ 12. > H2 O @ 186.1 > )(5$+ '!(00 ' 0( '$/";",(,"$& & ANE:OS I..-R/%0!('$/ C)&!$ @ 2.8 > A+&( @ 78.6 > G+(#( @ 12. > H2 O @ 186.1 0!/ P(+( 4+$b!(/ ,"0"&'+",(/ 5 4+$b!(/ 4+"/)(!",(/ V$0%)& !$!(0 @ ..68 ) C)&!$ @ 16.1 > A+&( @ 1. > G+(#( @ 6.1 > H2 O @ 8. 0!/
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
II.-SEGNDA PARTE DETERMINACIÓN DE LA CONSISTENCIA DEL HORMIGÓN II.1.-Obj!"#$ E' *76e.i3* es e' (e (e.e!$i#! ' &*#sis.e#&i (e' )*!$i+,# $e(i#.e e' &*#* (e A7!)$s
II.2.-F%&'()&!$ !*+",$ II.2.1.-C$&/"/!&,"(.L &*#sis.e#&i es ' $*! * $e#*! 4&i'i(( /"e .ie#e e' )*!$i+,# 4!es&* ! (e4*!$!se &*#si+"ie#.e$e#.e ! *&"! .*(*s '*s )"e&*s (e' $*'(e * e#&*4!(* I#4'"e# e# e'' (is.i#.*s 4&.*!es5 ese&i'$e#.e ' &#.i(( (e +" (e $s(*5 e!* .$7i@# e' .$ñ* $0i$* (e' 0!i(*5 ' 4*!$ (e '*s 0!i(*s s" +!#"'*$e.!1> L &*#sis.e#&i se 4i6 #.es (e ' "es. e# *7!5 #'i%#(* &"' es ' $0s (e&"( ! ' &*'*&&i,# se+9# '*s $e(i*s /"e se (is*#e (e &*$&.&i,# Se .!. (e "# !0$e.!* 4"#($e#.' e# e' )*!$i+,# 4!es&*
II.2.2.-E&/(5$ 4(+( '!+)"&(+ 0( ,$&/"/!&,"( '0 =$+)">$& Es.e $@.*(* (e e#s* 7!& e' !*&e(i$ie#.* "s! se e# e' '7*!.*!i* * e# e' '"+! (e ' *7! ! (e.e!$i#! ' &*#sis.e#&i (e' )*!$i+,# Es.e e#s* #* se &*#si(e! 'i&7'e &"#(* eis.e &*#si(e!7'e &#.i(( (e +!e+(* +!"es* (e .$ñ* s"e!i*! 2 e# e' )*!$i+,# L $"es.! (e )*!$i+,# (e ' &"' se )&e# '*s ese&$e#es (e e#s* se!0# !e!ese#..i3s (e ' i' e#.e! Di&)s $"es.!s se *7.e#(!0# s#(*5 e# 4*!$ !ee.i(5 "# ' * &"7* *! e' &)*!!* (e (es&!+ (e' )*!$i+,#5 &*$e#%#(* ' *e!&i,# (e .*$! ' $"es.! ' !i#&ii* (e ' (es&!+ !ei.ie#(* ' *e!&i,# )s. /"e ' !e3*'."! e#.e! se (es&!+"e L $"es.! s *7.e#i( se!0 .!#s*!.( ' si.i* (e e6e&"&i,# (e' e#s*5 ! e3i.! ' se+!e+&i,# (e' )*!$i+,# es.e se!0 CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
$e%&'(* &*# "# ' )s. *7.e#e! "# !ie#&i "#i4*!$e E' si.i* e# ' *7! (e ' !e3*'."! (e )*!$i+,# e#s(* se #*.! ! 4"."!s !e4e!e#&is E# e' &s* (e )*!$i+,# ! 3i$e#.*5 's $"es.!s se .*$!# (e ' !e3*'."! i#$e(i.$e#.e (es"@s (e /"e ) si(* (es&!+(* s*7!e ' s"7!s#.e P*! '* $e#*s se .*$!# $"es.!s (e (i4e!e#.es *!&i*#es (e ' i' es.s $"es.!s se $e%&'!# &*$'e.$e#.e ! 4*!$! e' es@&i$e# (e e#s* E' $*'(e se!0 )"$e(e&i(* &*'*&(* s*7!e "# s"e!4i&ie '#5 )9$e( #* 7s*!7e#.e ;&) $e.0'i&< se 'e $#.e#(!0 e!4e&.$e#.e 4i6* ("!#.e e' .ie$* /"e se ''e#e &*# )*!$i+,# E' $*'(e se ''e#! *! .e!&i*s (e s" 3*'"$e#5 es (e&i! ' !i$e! & .e#(!0 &$ (e '."!5 ' se+"#( 1 &$ ' "'.i$ 12 &$ A' &*'*&! &( &"&)!( (e )*!$i+,#5 ' ' e/"eñ * &"&)! se $*3e!0 '!e(e(*! (e' 7*!(e s"e!i*! (e' $*'(e ! /"e e' )*!$i+,# se (es'i&e s*7!e 's !e(es se (is.!i7" si$@.!i&$e#.e C( & (e7e!0 +*'e!se 2 3e&es &*# ' 7!! $e.0'i&5 (is.!i7"e#(* "#i4*!$e$e#.e '*s +*'es s*7!e ' se&&i,# (e $#e! /"e e#e.!e e# ' & (e 76* L & (e' 4*#(* se!0 e#e.!( e# .*(* s" eses*! Des"@s /"e ' & s"e!i*! ) si(* +*'e( se 'is! &*# ' ''# * &"&)! (e '7ñi' ! /"e e' $*'(e /"e(e &*$'e.$e#.e ''e#* I#$e(i.$e#.e se !e.i!! e' $*'(e $e(i#.e "# &&i,# &"i((*s /"e e!$i. 'e3#.!'* 3e!.i&'$e#.e si# (e4*!$! e' &*#.e#i(* E' &*#.e#i(* se#.$ie#.* se $e(i!0 i#$e(i.$e#.e (e.e!$i##(* ' (i4e!e#&i e#.!e ' '."! (e' $*'(e ' '."! e# e' e6e 3e!.i&' (e ' $"es.! L &*#sis.e#&i se e!es e# .@!$i#*s (e' se#.$ie#.* $e(i(* ("!#.e e' e#s* es i+"' : L '."! /"e se ) (es'i%(* ' $"es.! &*# !ese&.* ' !.e s"e!i*! (e' &*#* Des"@s (e $e(i! e' se#.$ie#.* (e7e +*'e!se s"3e$e#.e &*# ' 7!! (e is*#! e' .!*#&* &*#* (e )*!$i+,# E' &*$*!.$ie#.* (e' )*!$i+,# 76* es.e .!.$ie#.* es "# i#(i&&i,# 3'i*s (e ' &*)esi,#5 .!767i'i(( 4&i'i(( (e &*'*&&i,# (e ' $e%&' U# $e%&' .!767'e 7ie# !**!&i*#( se#.! +!("'$e#.e )s. 's '."!s i#4e!i*!es5 !e.e#(!0 s" i(e#.i(( *!i+i#'5 $ie#.!s /"e "# $e%&' *7!e se (es$e#"%!5 se se+!e+! se &e!0 *! se!(*
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
II..-M(!+"(0 E3%"4$ 5 (,,/$+"$/. 1. U# $*'(e (e 4ie!!* +'3#i%(* e# 4*!$ (e .!*#&* (e &*#* (e > $ (e '."!5 &*# 7ses !'e's &*# (i0$e.!*s (e 2 1 $e.!*s
2. U# &) $e.0'i& 'is5 '# !esis.e#.e (e > > $e.!*s &*$* $#i$*5 ! *! ' 7se $*! (e' .!*#&* (e &*#*
. U# 7!! $e.0'i& (e 8 (e (i0$e.!* &$ (e '!+*5 .e!$i#( e# "#. !e(*#(e( . U# ' e/"eñ ! e&)! e' )*!$i+,# 6. U# ''# * &"&)! (e '7ñi' 7. U# !e+' (i3i(i( e# &$ * "'+ ! $e(i! e' se#.$ie#.* (e ' $e%&'
II..-M$&!(j '0 &/(5$
II.6.-P+$,'")"&!$ 1.-
E' $*'(e se!0 )"$e(e&i(* &*'*&(* s*7!e "# s"e!4i&ie '#5 )9$e( #* 7s*!7e#.e ;&) $e.0'i&< se 'e $#.e#(!0 e!4e&.$e#.e 4i6* ("!#.e e' .ie$* /"e se ''e#e &*# )*!$i+,#
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
2.-
E' $*'(e se ''e#! *! .e!&i*s (e s" 3*'"$e#5 es (e&i! ' !i$e! & .e#(!0 &$ (e '."!5 ' se+"#( 1 &$ ' "'.i$ 12 &$ A' &*'*&! &( &"&)!( (e )*!$i+,#5 ' ' e/"eñ * &"&)! se $*3e!0 '!e(e(*! (e' 7*!(e s"e!i*! (e' $*'(e ! /"e e' )*!$i+,# se (es'i&e s*7!e 's !e(es se (is.!i7" si$@.!i&$e#.e
.-
C( & (e7e!0 +*'e!se 2 3e&es &*# ' 7!! $e.0'i&5 (is.!i7"e#(* "#i4*!$e$e#.e '*s +*'es s*7!e ' se&&i,# (e $#e! /"e e#e.!e e# ' & (e 76* L & (e' 4*#(* se!0 e#e.!( e# .*(* s" eses*!
.-
Des"@s /"e ' & s"e!i*! ) si(* +*'e( se 'is! &*# ' ''# * &"&)! (e '7ñi' ! /"e e' $*'(e /"e(e &*$'e.$e#.e ''e#* I#$e(i.$e#.e se !e.i!! e' $*'(e $e(i#.e "# &&i,# &"i((*s /"e e!$i. 'e3#.!'* 3e!.i&'$e#.e si# (e4*!$! e' &*#.e#i(*
6.-
E' &*#.e#i(* se#.$ie#.* se $e(i!0 i#$e(i.$e#.e (e.e!$i##(* ' (i4e!e#&i e#.!e ' '."! (e' $*'(e ' '."! e# e' e6e 3e!.i&' (e ' $"es.!
II.7.-Ob!&,"*& ' '(!$/ L( (0!%+( )'"'( ;% ' 1 ,) / ',"+ 0 +#&")"&!$
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
FOTOS TOMADAS EN EL MOMENTO DEL ENSAYO
III.-TERCERA PARTE DETERMINACIÓN DEL CONTENIDO DE AIRE III.1.-Obj!"#$ CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
E' *76e.i3* es e' (e (e.e!$i#! e' &*#.e#i(* (e i!e e# e' )*!$i+,# "#/"e #* se '* !e'i%* es i$*!.#.e &*#*&e! (e "# 4*!$ +e#e!' &*$* se !e'i% es.e e#s*
III.2.-F%&'()&!$ !*+",$ D!+)"&(,"*& '0 ,$&!&"'$ ' ("+ & 0 =$+)">*& ;+/,$ )'"(&! 0 )!$'$ ' 4+/"*& III.2.1.- B(/ '0 4+$,'")"&!$ E' $@.*(* /"e se (es&!i7e ! (e.e!$i#! e' &*#.e#i(* (e i!e (e' )*!$i+,# 4!es&*5 se 7s e# ' $e(i&i,# (e' &$7i* (e 3*'"$e# (e' )*!$i+,# s*$e.i(* "# &$7i* (e !esi,# E' e/"i* /"e se ese&i4i& ! es.e e#s* es e' .i* B (e ' #*!$ ASTM C 2>1-8 ;!.* .i* Hs)i#+.*#<5 e' /"e es.0 e/"i(* &*# "# (i' /"e !e+is.! (i!e&.$e#.e e' &*#.e#i(* (e i!e5 e# 5 &*# !ese&.* ' 3*'"$e# (e )*!$i+,# E' !*&e(i$ie#.* es 'i&7'e )*!$i+,# 47!i&(* &*# 0!i(* (e (e#si(( #*!$' .$ñ* $0i$* #* s"e!i*! $$
III.2.2.- A4(+(!$/
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
E/"i* (e $e(i&i,# (e i!e: E' e/"i* &*#s. (e "# !e&iie#.e &*# . (e &e!* &" &&i(( $#i$ es (e 'i.!*s L . es.0 !*3is. (e "# 6"s.e (e +*$ * &"&)* ! &ie!!e )
[email protected]&* &*# e' !e&iie#.e ''e3 (e$0s '*s (i.$e#.*s si+"ie#.es: U# ! (e ''3es ! +"5 (e e#.!( "!+ 7 L'3es ! !e.! )
[email protected]&$e#.e ' . ' !e&iie#.e & C0$! (e !esi,# &*# (i'5 7*$7 $#"' ;* 7*$7i# e.e!#*<5 30'3"' ! .!ss! e' i!e ' !e&iie#.e 30'3"' (e "!+ ! 6"s.! ' !esi,# i#i&i' e# e' (i' ( A&&es*!i*s: !*7e. (e &'i7!&i,# ."7*s (e 7!*#&e .*!#i''7'es "# (e 's ''3es (e +"
III.2..- A,,/$+"$/ P! ' e6e&"&i,# (e' e#se se !e/"ie!e (e$0s (e *.!*s e'e$e#.*s ! is*#!5 3i7!!5 e#!s!5 e.& E' is,# (e7e &"$'i! 's !es&!i&i*#es (e NC) 11J E O4 ? KDe.e!$i#&i,# (e ' (*&i'i(( M@.*(* (e' se#.$ie#.* (e' &*#* (e A7!$sK
III.2..- C(0"b+(,"*& L &'i7!&i,# (e' !.* es #e&es!i ! .e#e! ' se+"!i(( /"e e' &*#.e#i(* (e i!e i#(i&(* e# e' (i' es e' &*!!e&.* es. *e!&i,# se )&e !.i&"'!$e#.e &*#3e#ie#.e &"#(* e' e/"i* ) es.(* '!+* .ie$* 4"e! (e se!3i&i* * &"#(* ) si(* $'.!.(* * +*'e(* ("!#.e s" $#e6* * .!#s*!.e L &'i7!&i,# se !e'i% e# "# '7*!.*!i* &'i4i&(*5 e' &"' e.e#(e!0 "# Ce!.i4i&(* (e C'i7!&i,#
III.2.6.- P+$,'")"&!$ - M%/!+( ' &/(5$ E' .$ñ* (e ' $"es.! (e )*!$i+,# 4!es&* se!0 s"e!i*! > 'i.!*s - C*'*&&i,# &*$&.&i,# (e ' $"es.! L'e#! e' !e&iie#.e &*# ' $"es.! (e )*!$i+,# se+9# e' $@.*(* (e &*$&.&i,# /"e se 'i/"e
< Ais*#(*
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
Se 'i& &"#(* ' (*&i'i(( es $*! &$ (e se#.$ie#.* - C*'*&! e' )*!$i+,# e# .!es &s (e i+"' 3*'"$e# - Ais*#! &( & &*# 2 +*'es (e is,# (is.!i7"i(*s e# .*( e' 0!e L & i#4e!i*! se is*# e# .*( s" '."! si# +*'e! e' 4*#(* 's &s s"e!i*!es se is*#!0# (e $*(* /"e e' is,# e#e.!e !*i$($e#.e > &$ e# ' & s"7&e#.e - Des"@s (e is*#!5 +*'e! '*s &*s.(*s (e' !e&iie#.e 1 1 3e&es &*# "# $%*
7< Vi7!(* Se 'i& es.e !*&e(i$ie#.* )*!$i+,# &*# (*&i'i(( $0i$ (e 1 &$ (e se#.$ie#.* - L'e#! e# (*s &s (e i+"' 3*'"$e#5 3i7!#(* &( & &*# "# * (*s i#se!&i*#es (e' 3i7!(*!5 si# .*&! &*# @s.e 's !e(es #i e' 4*#(* (e' !e&iie#.e - L 3i7!&i,# se 'i&!0 )s. /"e ' s"e!4i&ie (e' )*!$i+,# .e#+ "# !ie#&i s"3e 7!i''#.e5 !e.i!#(* 'e#.$e#.e e' 3i7!(*! Se e3i.!0 ' s*7!e3i7!&i,# - U# 3e% &*$&.( ' $"es.!5 se e#!s 'is ' s"e!4i&ie 6"s.($e#.e ' #i3e' (e' 7*!(e (e' !e&iie#.e
- M'"'( '0 ,$&!&"'$ ' ("+ - Li$i! '*s 7*!(es e# ese&i' ' +*$ (e se''*5 &*'*&! ' . 6"s.! )
[email protected]&$e#.e &*# 's ''3es (e !e.e - Ce!!! 's 30'3"'s ! i!e 7!i! 's ''3es ! +" Me(i#.e "# 6e!i#+ (e +*$ i#.!*("&i! +" *! "# (e 's ''3es (e +" )s. /"e 4'" *! ' *.! ''3e G*'e! '.e!'$e#.e &*# "# $%* ! e"'s! 7"!7"6s (e i!e .!(s e# e' +" i#.!*("&i( - B*$7e! i!e ' &0$! (e !esi,# )s. /"e ' +"6 (e' (i' ''e+"e ' $!& (e !esi,# i#i&i' Re*s! '+"#*s se+"#(*s ! e#4!i! e' i!e &*$!i$i(* Es.7i'i%! ' +"65 $e(i#.e 7*$7e*s * "!+5 e# ' $!& (e !esi,# i#i&i' - Ce!!! 's (*s ''3es (e +" 7!i! ' 30'3"' (e e#.!( (e i!e &*$!i$i(* (e ' &0$! (e i!e ' !e&iie#.e G*'e! s"3e$e#.e '*s &*s.(*s (e' !e&iie#.e5 &*$* .$7i@# ' . (e' (i' ! es.7i'i%! ' 'e&."! - Lee! &*# !*i$&i,# 51 e' &*#.e#i(* (e i!e !e+is.!(* e# e' (i' A#.es (e 7!i! ' .5 $#.e#e! &e!!(s 's 30'3"'s (e i!e 7!i! 's ''3es (e +" ! 'i7e!! ' !esi,# (e i!e
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
eis.e#.e e# e' !e&iie#.e
NOTA E# '+"#*s &s*s5 #.es (e 7!i! e' !e&iie#.e5 se "e(e !ee.i! .*( ' *e!&i,# (e 7*$7e* .!ss* (e !esi,# ' !e&iie#.e L #"e3 'e&."! #* (e7e 'e6!se $0s (e 5 (e ' Volver
'e&."! #.e!i*!
IV.-CARTA PARTE DETERMINACIÓN DE LA RESISTENCIA IV.1.-Obj!"#$/ E' *76e.i3* es e' (e (e.e!$i#! ' !esis.e#&i &*$!esi,# (e 's !*7e.s &i'#(!i&s (e )*!$i+,# '*s 5 21 28 (s
IV.2.-F%&'()&!$ !*+",$ L &'i(( (e '*s $.e!i'es !*("&i(*s e# 407!i&s5 &*$* e' &e!* '$i#(* * (e !$("!s5 es. +!#.i%( *! e' 47!i&#.e5 /"e (e7e !e'i%! "# &*#.!*' sis.e$0.i&* (e &'i(( ese&i4i&(* "s"'$e#.e $e(i#.e 's (e&"(s #*!$s ASTM;A$e!i&# S*&ie. 4*! Tes.i#+ #( M.e!i's< E' )*!$i+,#5 e# &$7i* se !*("&e e# ' *7! * &e!& (e e''5 s" &'i(( 4i#' es 4e&.( *! &ie!.* #9$e!* (e 4&.*!es
L !i#&i' $e(i( (e ' &'i(( es.!"&."!' (e' )*!$i+,# es s" !esis.e#&i &*$!esi,# L*s e#s*s &*!!es*#(ie#.es se !e'i%# e# !*7e.s &i'#(!i&s (e '."! i+"' ' (*7'e (e s" (i0$e.!*5 "s"'$e#.e (e *! 12 "'+(s;1 > &$< D"!#.e 's *e!&i*#es (e &*'*&&i,# se ''e## (e )*!$i+,# $*'(es i$e!$e7'es (e es. 4*!$5 &*$* se ese&i4i& e# ' #*!$ ASTM C12 “M@.*(*s ! .*$ (e $"es.!s (e )*!$i+,# 4!es&* ASTM C>1 “M@.*(* ! ' 47!i&&i,# &"!(* (e !*7e.s (e )*!$i+,# e# *7! L*s &i'i#(!*s se (e6# &"!! e# $7ie#.e )9$e(* 21 - >C5 +e#e!'$e#.e ("!#.e 28 (s se e#s# (es"@s e# e' '7*!.*!i* "# 3e'*&i(( (e &!+ (e.e!$i#( L !esis.e#&i &*$!esi,# *7.e#i( (e .'es e#s*s se &*#*&e &*$* !esis.e#&i &i'#(!i& “ f c es ' !i#&i' !*ie(( ese&i4i&( O
4i#es (e !*e&.*
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
P! '*+!! ' se+"!i(( (e ' es.!"&."! es #e&es!i* "# &*#.!*' &*#.i#"* /"e se+"!e /"e ' !esis.e#&i (e' )*!$i+,# s"$i#is.!(* &*#&"e!( s.is4&.*!i$e#.e &*# e' 3'*! ei+i(* *! e' !*e&.is. Ls B"i'(i#+ C*(e Re/"e!i$e#.s 4*! Rei#4*!&e( &*#&!e.e (e' A$e!i&# C*#&!e.e I#s.i.".e5 ACI >18-1 ;N*!$s (e &*#s.!"&&i,# ! )*!$i+,# A!$(* (e' i#s.i.".* A$e!i&#* (e' )*!$i+,# ACI >18-1<5 ese&i4i&# /"e (e7e# !*$e!se (*s !*7e.s &i'#(!i&s *! &( 11 $> (e )*!$i+,# * *! &( $2 (e s"e!4i&ie )*!$i+*#(5 e!* #"#& $e#*s (e "# ! (e !*7e.s *! (
L*s !es"'.(*s (e '*s e#s*s (e !esis.e#&i (e (i4e!e#.es $s(s (e i+"' (*si4i&&i,# $e%&'(* "e(e# $*s.!! "# (ise!si,# i#e3i.7'e Es. (ise!si,# "e(e !e("&i!se $e(i#.e "# &*#.!*' $s !e&is*5 e!* #* "e(e# e3i.!se !es"'.(*s (e e#s*s /"e (e# "# !esis.e#&i &i'#(!i& i#4e!i*! ' ese&i4i&( P! +!#.i%! /"e ' !esis.e#&i (e "# )*!$i+,# es (e&"( es! (e ' (ise!si,# (e '*s !es"'.(*s5 's N*!$s ACI es.7'e&e# /"e ' &'i(( (e "# )*!$i+,# es s.is4&.*!i si:
-Ni#+"# (e 's !esis.e#&is (e.e!$i#(s e# &( e#s* i#(i3i("'; e' 3'*! $e(i* (e ' !esis.e#&i (e (*s !*7e.s &i'#(!i&s< es i#4e!i*! ' f c #e&es!i e# $s (e > O
+&$2 -L $e(i (e &"'/"ie! +!"* (e .!es e#s*s i#(i3i("'es es i+"' * s"e!i*! ' f c O
ese&i4i&( Es e3i(e#.e /"e si se (*si4i&! e' )*!$i+,# (e $#e! /"e s" !esis.e#&i $e(i 4"e! 6"s.$e#.e i+"' ' f c #e&es!i5 #* s! &*# @i.* es.s #*!$s (e &'i((5 (e7i(* /"e O
!*i$($e#.e ' $i.( (e '*s !es"'.(*s (e '*s e#s*s (e !esis.e#&i es.!# *! (e76* (e ' f c #e&es!i P*! '* .#.*5 es #e&es!i* (*si4i&! e' )*!$i+,# (e $#e! /"e s" !esis.e#&i O
$e(i se s"e!i*! ' !esis.e#&i f c (e !*e&.* #e&es!i e# "# &#.i(( s"4i&ie#.e ! O
+!#.i%! /"e se &"$'e# 's (*s &*#(i&i*#es &i.(s Es.e 3'*! $#i$* e# /"e ' !esis.e#&i $e(i (e7e se! s"e!i*! ' f c s*'* "e(e (e.e!$i#!se *! $@.*(*s es.(s.i&*s5 (e7i(* ' O
'e.*!ie(( &*# /"e se !ese#.# 's (ise!si*#es (e '*s e#s*s P! e''* se es.7'e&e#
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
ei+e#&is /"e 'i$i.# ' !*77i'i(( (e /"e se *7.e#+# !esis.e#&is #* s.is4&.*!is '*s si+"ie#.es *!&e#.6es: -P!*77i'i(( (e "# 1 (e /"e ' !esis.e#&i (e "# e#s* i#(i3i("' se i#4e!i*! f c O
e# $s (e > +&$2 -P!*77i'i(( (e "# 1 (e /"e e' 3'*! $e(i* (e .!es e#s*s &*#se&".i3*s se i#4e!i*! f c O
-P!*77i'i(( (e "# 1 (e /"e e' !es"'.(* (e "# e#s* i#(i3i("' es&*+i(* ' %! se i#4e!i*! f c O
A(e$0s5 (e7e# i#se&&i*#!se 's &i$e#.&i*#es5 e#&*4!(*s5 &*'*&&i,# (e 's !$("!s *.!s &!&.e!s.i&s i$*!.#.es ! e' !*+!es* +e#e!' (e' .!76*5 ''e3! #*.&i*#es (e .*(*s '*s se&.*s i#se&&i*#(*s !e!! i#4*!$es e!i,(i&*s L i$*!.#&i (e "# i#se&&i,# &*$'e. ! ' &*!!e&&i,# (e&"( &'i(( (e ' es.!"&."! .e!$i#( es .# +!#(e /"e #* es *si7'e e+e!!'
R/"/!&,"( 5 ';$+)(,"*& '0 =$+)">*& & ,$)4+&/"*& E' &*$*!.$ie#.* (e "# es.!"&."! 76* ' &!+ (ee#(e e# +!# $#e! (e ' !e'&i,# .e#si,#-(e4*!$&i,# (e' $.e!i' (e /"e se &*$*#e 76* e' .i* (e .e#si*#es /"e e' $.e!i' es. s*$e.i(* e# ' es.!"&."! C*$* )*!$i+,# se ".i'i% !i#&i'$e#.e e# &*$!esi,# s" &"!3 .e#si,#-(e4*!$&i,# &*$!esi,# es (e 4"#($e#.' i#.e!@s Es. &"!3 se *7.ie#e $e(i#.e $e(i&i*#es (e&"(s (e ' (e4*!$&i,# e# '*s e#s*s e# !*7e. &i'#(!i& * e# e' '(* (e &*$!esi,# e# 's 3i+s &*#.i#"&i,# se $"es.! "# 6"e+* .i&* (e &"!3s (e es.e .i* *7.e#i(s5 's 3e'*&i((es $*(e!(s #*!$'es e# e' e#s*5 (e )*!$i+*#es (e 28 (s ! !*7e.s (is.i#.s !esis.e#&is f c O
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
T*(s 's &"!3s .ie#e# "# se&.* e# &ie!.* $*(* si$i'! Se &*$*#e# (e "# *!&i*# e's.i& !e'.i3$e#.e !e&.5 e# ' /"e
.e#si*# (e4*!$&i,# s*# &si e&.$e#.e !**!&i*#'es5
&*$e#%#(* (es"@s &"!3!se )&i ' )*!i%*#.' '&#%#(* ' .e#si*# $i$5 es.* es5 ' !esis.e#&i &*$!esi,#5 ! "# (e4*!$&i,# (e !*i$($e#.ee' 2 *! &ie#.*5 $*s.!#(* 4i#'$e#.e "# !$ (es&e#(e#.e T$7ie# se 3e /"e '*s )*!$i+*#es (e $e#*! !esis.e#&i s*# $e#*s /"e7!(i%*s5 es.* es5 se !*$e# ! "# '!+$ie#.* $0i$* $*! /"e '*s )*!$i+*#es (e '. !esis.e#&i
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
IV..-M(!+"(0 3%"4$ 5 (,,/$+"$/ -
P!*7e.s &i'#(!i&s (e )*!$i+,# ese&i4i&(s se+9# #*!$ e# "# !e'&i,# (e 1:2
-
P!*7e.s !i$.i&s
-
M/"i# &*$!es*!
P+$b!(/ ,"0"&'+",(/
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
P+$b!(/ 4+"/)(!",(/ IV..-P+$,'")"&!$ 1.-
L* !i$e!* /"e se )&e "# 3e% 3&i(s 's !*7e.s es (e 3*'3e! (e#.!* (e 2? )*!s s&!'s (e '*s $*'(es &*# $"&)* &"i((*
2.-
I#$e(i.$e#.e se (e7e s*$e.e!'s ' !*&es* (e &"!(* ! '* &"' se 's s"$e!+e e# +"
.-
Se 3"e'3e 1 ( #.es (e /"e se !e'i&e e' !*$i$ie#.* (e ' 1! !*7e.5 e# (*#(e se (e7e s&! ' !*7e. (e' +"5 (e6!' se&! ! /"e #* es.e $" )9$e( e# e' $*$e#.* (e' !*$i$ie#.*
.-
A '*s (s se !e'i% e' !*$i$ie#.* (e ' !i$e! !*7e. &*# ' "( (e ' $/"i# &*$!es*!
6.-
Se !e+is.! e' 3'*! (e !*."! /"e i#(i& ' $/"i#
7.-
Se !ei.e '*s s*s #.e!i*!es ! '*s 21 28 (s
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
IV.6.-Ob!&,"*& ' '(!$/ D")!+$@16,)J
A0!%+(@,)
P!*7e.s &i'i#(!i&s
D"(/
V(0$+ 0"'$ ' 0(
>;
)(3%"&( ,$)4+/$+(
,$)4+/"*&
QN '"(/ 21 '"(/ 28 '"(/
CIV-2218 “B
128. 217. 27.6
QR,+/"/!&,"( ( 0(
Rc
187.7 222.8 27676.
DOCENTE: ING: CARLOS ANTEZANA
F kg Area cm 2
.6 126. 16.
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
P+$b!( 4+"/)(!",( L ? &$
71&$5
)1&$
D"(/
V(0$+ 0"'$ ' 0(
>;
)(3%"&( ,$)4+/$+( 1.2
18.
Rf c
Pxl kgf 2 2 2 bxh cm >
28.78
V.-INTA PARTE SO DE ADITIVOS EN MEZCLAS DE HORMIGÓN V.1.-Obj!"#$ E' *76e.i3* (e' "s* (e (i.i3*s e# e' )*!$i+,# es e' (e $e6*!! 's (i4e!e#.es &!&.e!is.i&s (e' )*!$i+,#5 #* se !e'i%* ' i#&*!*!&i,# (e (i.i3*s e# e' !*e&.* !e'i%(*5 si# e$7!+* se $*s.!! "# 7!e3e i#4*!$&i,# (e es.*s
V.2.-F%&'()&!$ !*+",$
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
L*s (i.i3*s ! e' )*!$i+,# s*# $.e!i'es e# 4*!$ (e *'3* * '/"i(* /"e se ñ(e# ' )*!$i+,# ! (!'e &ie!.s &!&.e!s.i&s /"e #* "e(e# *7.e#e!se &*# 's $e%&'s (e )*!$i+,# si$'e P! "# "s* #*!$'5 ' (*sis (e (i.i3*s ñ(i(*s s*# $e#*s (e' (e' .*.' (e ' $s (e &e$e#.*5 '*s (i.i3*s s*# ñ(i(*s ' )*!$i+,# e# e' $*$e#.* (e ' (*si4i&&i,# $e%&' L*s .i*s $0s &*$"#es (e (i.i3*s ! )*!$i+,# s*#: -
A,0+&!/ ' E&'%+,")"&!$: e# &ie!.s &*#(i&i*#es &'i$0.i&s (e .!76*5 e'
)*!$i+,# "e(e .!(! $"&)* e# &"!!5 e' &e'e!#.e e!$i.e s" 4!+"(* "$e#.! s" !esis.e#&i e# $e#*! .ie$*5 '*+!#(* s +#! .ie$* e# ' *7! &e'e!! e' !*&es* &*#s.!"&.i3* Re.!(#.es (e F!+"(*: $#.ie#e# ' )i(!.&i,# (e' )*!$i+,# es "s(* ! !e.!(! e' 4!+"(* (e' )*!$i+,# e!$i.i! "# $*! 's* e# e' 3e!.i(* (e' $is$*5 *! e6e$'* &"#(* e' )*!$i+,# !e$e%&'(* (e7e .!#s*!.!se "# $*! (is.#&i * &"#(* se .ie#e# s"e!4i&ies $" +!#(es (e 3&i(* (e7e )&e!se 3&i(*s !&i'es5 #* &*#3ie#e /"e e' )*!$i+,# 4!+Qe !0i(* -
A"+(&!/ s*# i#&*!*!(*.es (e i!e5 +!e+# (is.!i7"e# $i&!*7"!7"6s (e i!e e# e'
)*!$i+,#5 es ".i'i%(* ! )*!$i+*#es s*$e.i(*s &i&'*s (e )ie'* (es)ie'* (*#(e e' i!e i#&*!*!(* e# e' )*!$i+,# 7s*!7e ' e#si,# (e' )ie'* e3i.#(* 4is"!s * !*."!s (e' )*!$i+,# L i#&*!*!&i,# (e i!e (is$i#"e ' !esis.e#&i ' &*$!esi,# (e' )*!$i+,#5 *! &( 1 (e i!e "e(e (is$i#"i! "# ' !esis.e#&i ' &*$!esi,# A&."'$e#.e .$7i@# se i#&*!*!# !.&"'s (e i!e ! 47!i&! e'e$e#.*s ese&4i&*s /"e "(# $e6*!! e' is'$ie#.* &9s.i&* .@!$i&*
A'"!"#$/ P0(/!";",(&!/ '*s 's.i4i&#.es "$e#.# ' .!767i'i(( (e' )*!$i+,# 4!es&* si# '.e!! ' !e'&i,# +"&e$e#.* ;AC<5 $e6*! ' (*&i'i(( (e' $.e!i' 4!es&* *! '* .#.* e!$i.e $e#*s es4"e!%* (e 3&i(* &*'*&&i,#
S%4+P0(/!";",(&!/ A"$e#.# ' .!767i'i(( (e' )*!$i+,# 4!es&*5 e!$i.ie#(* "# $*! (*&i'i(( (e @s.e T$7i@# s*# ".i'i%(*s ! !e("&i! ' &#.i(( (e +" e# ' $e%&'
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
$#.e#ie#(* ' $is$ 4'"i(e%5 $e6*!#(* ' !e'&i,# +"&e$e#.* ;AC< 5 e# &*#se&"e#&i ' !esis.e#&i ("!7i'i(( (e' )*!$i+,#
I&="b"'$+/ ' C$++$/"*&: se ".i'i%# ! $i#i$i%! ' &*!!*si,# (e' &e!* (e 's 7!!s (e &e!* e# e' )*!$i+,#
P">)&!$/ se ".i'i%# ! &$7i! e' &*'*! (e' )*!$i+,#5 7"s&#(* e4e&.*s
[email protected]&*s A'"!"#$/ I)4+)(b"0"<(&!/ ="'+$;%>(&!/: es.*s (i.i3*s s*# ".i'i%(*s ! $e6*!! e' &*$*!.$ie#.* (e' )*!$i+,# e# %*#s )9$e(s
A'"!"#$/ C%+('$+/ s*# "s(*s ! e3i.! ' e3*!&i,# !0i( (e' +" (e $s(* (e' )*!$i+,# ("!#.e e' !*&es* (e 4!+"(* e i#i&i* (e' e#("!e&i$ie#.* e3i.! ' !i&i,# (e 4is"!s .e$!#s *! 4*+!(*5 !e.!&&i,#5 e.&
VI.-CONCLSIONES D$/";",(,"$& V$0%)& !$!(0 @ ..68 ) C)&!$ @ 16.1 > A+&(
@ 1. >
G+(#(
@ 6.1 >
H2O
@ 8. 0!/
L( (0!%+( )'"'( ;% ' 1 ,) / ',"+ 0 +#&")"&!$ P+$b!(/ ,"0"&'+",(/ D"(/
V(0$+ 0"'$ ' 0(
>;
)(3%"&( ,$)4+/$+(
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
QR,+/"/!&,"( ( 0( ,$)4+/"*&
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
QN '"(/ 21 '"(/ 28 '"(/
Rc
128. 217. 27.6
D"(/
187.7 222.8 27676.
V(0$+ 0"'$ ' 0( )(3%"&( ,$)4+/$+( 1.2
>; 18.
F kg Area cm 2
.6 126. 16.
Rf c
> Pxl
kgf 2 2 bxh cm 2
28.78
VII.-RECOMENDACIONES -Se !e&*$ie#( /"e ' $e%&'! '*s $.e!i'es ! e' )*!$i+,# se '* $e%&'e 7ie# /"e (e '* &*#.!!i* "e(e !*("&i! se+!e+&i,#
-T$7ie# /"e #.es (e !*$e! 's !*7e.s se (e7e &i'! #.es &( "# (e e''s ! $e6*!es !es"'.(*s
VIII.-BIBLIOGRAF9A -A4%&!/ '$,&! -T,&$0$>"( '0 =$+)">*&
CIV-2218 “B
G$+> "&!+
DOCENTE: ING: CARLOS ANTEZANA
A+!=%+ H. N"0/$&
PROYECTO ACADEMICO
UNIVERSIDAD TECNICA DE ORURO FACULTAD NACIONAL DE INGENERIA INGENERIA CIVIL
CIV-2218 “B
DOCENTE: ING: CARLOS ANTEZANA
PROYECTO ACADEMICO
