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2 Ficha catalográfica preparada pela Biblioteca Central da Universidade Federal de Viçosa - Câmpus Viçosa T L864a 2014 Lopes, Sérgio Weber, Avaliação da homogeneidade e da resistência à compressão do concreto por meio de ensaios não destrutivos / Sérgio Weber Lopes. Viçosa, MG, xx, 152f. : il. (algumas color.) ; 29 cm. Inclui apêndices. Orientador: José Luiz Rangel Paes. Dissertação (mestrado) - Universidade Federal de Viçosa. Inclui bibliografia. 1. Concreto. 2. Concreto - Resistência. 3. Ensaios não destrutivos. I. Universidade Federal de Viçosa. Departamento de Engenharia Civil. Programa de Pós-graduação em Engenharia Civil. II. Título. CDD 22. ed

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116 F+ 4M ' ( < " cg +& =c(> 6 J M 8 K L => 9c+=/> => =""> 4 " 9: 2 4 "" ( 9: Tc c"6c = > 2 " ( =E"V)> F $$ $O F $" H 3 8 K J8 L M3 M 48 L 4J 4 ' 4Z3 3 M M J J4 L JJ L 23 H 24 2 ' 4Z3 3 M M 2K 3 24 L M ' 4Z3 3 M M MH 3 HH L 53 M H2 L 2K 2 2M 8 ' 4Z3 3 M M H ' ' L 2 ' 4Z3 3 M M ' ' 2M ' 4Z3 3 M M 2K 3 2M 8 H8 L K 2L L ' 4Z3 3 M M MH 3 H8 5 H2 L HL M H2 5 HH L ' 4Z3 3 M M H 3 4H M JL 2 JJ H 4 ' 4Z3 3 M J 8 3 2H 5 HL L 5H M 22 4 H3 H ' 4Z3 3 M J 2K 3 55 H H3 2 H4 M HJ L H4 K 53MH 4 4Z3 3 M J MH 3 J2 H 2L L HH 2 HH J HM M ' 4Z3 3 M J H 3 J 8 MH 2 M J ' 4 3 J M L J2 L 4J M 23 4 ' 4 3 J M K 3 2H H H8 M HL 2 24 H 23 K J M MH 3 H2 5 H4 M H M 2J H ' 4 3 J M H 3 5 K M5 2 MJ 2 43 L 42 4 ' 4 3 J M3 3 3 M L JH M HL 2 4J 5 48 K ' 4 3 J M3 3 3 M 2K 3 H2 4 H4 2 H4 L 2J L 2M M HM8J M 4 3 J M3 3 3 M MH 3 HK 8 H4 M H3 M H ' 4 3 J M3 3 3 M H 3 M J MJ M MM M 42 M 43 L ' 4 3 J M3 3 3 J 8 3 4H K J5 2 JJ M K 5 ' 4 3 J M3 3 3 J 2K 3 2M M H8 L 52 L 25 H 22 L HM8J M 4 3 J M3 3 3 J MH 3 H2 J H2 M HJ M 2M 5 H4 4 ' 4 3 J M3 3 3 J H H 2 5M M H H ' 4Z3 3 J J 8 3 H2 4 H8 L 5H M 2H K 2J H ' 4Z3 3 J J 2K 3 54 H HJ 2 HJ L H3 M H2 M HL4L M 4Z3 3 J J MH 3 55 K 2L L H3 2 H3 M HM K ' 4Z3 3 J J H 3 23 K 55 M H ' 4 3 J K3 3 3 J L 54 2 H8 2 2H L 2H 3 ' 4 3 J K3 3 3 J 2K 3 52 K 28 2 HJ L HH M H2 8 HL8M J K3 3 3 J MH 3 5M 8 2M L H4 2 H5 2 H5 5 ' 4 3 J K3 3 3 J ("="">.V* L5

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120 $(JJ'/4:4'9 c S9=>'"#c: 0F+4L"'"$"%c c"cc=9 c >( => cc"9""(:0c " #c 6 C( " c9c c 2 S 3 83K D" / 4:2:0 $( JM"' B( c(9/4:2: F+4L'/$9/4:2: ). '','11# -.'11# T 9 c S'4 4M35Z8J 48K 3 MJK -.'*)%/ 4 * UI2' ;SJS0I SJLSM $,"c 9 c S'5K 5H=>Z23M J2 3 M83 " 9 c S3 32JJ 2 'H H2JZ44L HJ 3 M8H %c 9 c S285HJ '4 KL LK

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122 $(J8'/4:H'9 c S9=>'"#c: 0F+24"'"$"%c c"cc=9 c >(c" = > cc"9"c"9c:0c " %c 6 C( " c9c c 2 S 3 KMH D" / 2:4:0 $( JK"' B( c(9/2:4: F+24'/$9/2:4: ). '','11# -.'11# T 9 c S4 88K2 '48 LKJ 3 KJ3 #c 9 c S2 LMM8 3 3K2 3 KH4 $,"c 9 c SHK KHM= >'L8 42H 3 8LK " 9cS3 324K 2 Z3 84M5 'J LM48 3 KJ8 5*)% 4 * USJS2LI JMM$R SJMI+ 433

123 $(JK'/2:4'9 c S9= >'"%c: 0F+22"'"$"%c c"cc=9 c >(c" = > cc " 9" " (: 0 c " %c 6 C( " c9c c 2 S 3 KJM D" / 2:2:0 $( JL"' B( c(9/2:2: F+22'/$9/2:2: ). '','11# -.'11# T 9 c S4 8J88 '48 8K8 3 K4H #c 9 c S2 L4LJ 3 3K2 3 K4M $,"c 9 c SHK K3J= >'L8 HJ " 9 c S Z4 2MM2 '42 45K 3 K4J 5*)% 4 * USJS2$I JRSIL SJM2I 434

124 $(JL'/2:2'9 c S9= >'"%c: 0F+2H"'"$"%c c"cc=9 c >(c" = > cc 9": 0 c " %c6c("c9cc 2 S3 KJLD "/2:H:0$(M3"'B(c(9 /2:H: F+2H'/$9/2:H: ). '','11# -.'11# T 9 c S4 8M88 '48 KK4 3 KH4 #c 9 c S2 L K2 3 K2H $,"c 9 c SHK K42= >'L K5 " 9 c S3 34JM 2 Z4 33J2 'L 4KL8 3 KHJ 5*)% 4 * USJS22 JMR0$ SJM2R 432

125 $(M3'/2:H'9 c S9= >'"%c: 0 F+ 25 ' (", " $ + c ( ( %cc"=9 c > 99": F+25',"$"+ c((%c c"=9 c > 99": 4 '/ 6=')8 -.'11# T 9 c S9=> 2 9 c S9= > 4:4 4:2 4:H 2:4 2:2 2:H /$ 9"c" 9c /$ 9""( / 9""cB( /$ 9"c" 9c /$ 9""( / 9""cB( ). ' ','11# 9 c S4L4 52 '3 3J4 3 K2M #c 9 c S4MJ '3 35M 3 83K #c 9 c S '3 35K 3 8JL #c 9 c S3 3J8M 4 KK2L 3 KMH %c 9 c S3 3J2M 4 L3M8 3 KJM %c 9 c S3 3JJ4 4 KL52 3 KJL %c 43H

126 .& + " $ " " c(' ( $) " %c c" c " $ "O C( "" cc ( ( " D : " " $ "O 9 (< $" c"(c c c ( => c" = > %c c" =9 c > " cg +& F+ 25: " + " " 9( ( ( < " " c" 9" c" 9c " ( 9" " cb(: 0 F+ 2J ' (" B" "$c": F+ 2J'B" " $"O " + (<"cg+&: '/ H 9 c S9= > H:4 H:2 H:H 6=')8 / $ "O 9" c" 9c / $ "O 9" " ( /$"O9"" cb( " $ "O " %c c" cc =9 c > ( => c"= >#G$(7 9 c S3Z=m4>Z= m2> =M> 435

127 ("cW 6W 6("c9ccW 6,cc"6cW 6("c9ccc": 9 " $ "O c"'$(cc(7c9cc =j> c9cb(=jb(><c("6=/ >: c9c c B( =j B(>: c9c c B( =j B(> " c O" D " $ "O c (" I" " (" C( C( c9c c=j>: " $ "O =/ H:4> " %c c"cc=9 c >( => c"= > cc " 9" c"9c 6$(#7 9 c S28 43'3 MKmZ4 3Km =8> 0 c " (" c9c c 2 S3 KLM: 0 $( M4 ' (" c c ( + c" (</H:4: 43J

128 $(M4'*ccc"/H:4: " $ "O =/ H:2> " %c c"cc=9 c >( => c"= > cc " 9" " ( 6$(#7 9 c S22 43'3 MJmZ4 25m =K> 0 c " (" c9c c 2 S3 K8H: 0 $(M2"'("cc(+c"(< /H:2: 43M

129 $(M2'*ccc"/H:2: " $ "O =/ H:H> " %c c"cc=9 c >( =>c"= > cc9" "cb( 6$(#7 9 c S2H L5'3 MMmZ4 48m =L> 0 c " (" c9c c 2 S3 KKM: 0 $(MH"'("cc(+c"(< /H:H: 438

130 $(MH'*ccc"/H:H: 0F+2M'(","$"O "%cc"cc=9 c >( =>c"= > 9 9": F+ 2M', " $ "O + c ( ( %c c"=9 c > 99": '/ 6=')8 -.'11# T H:4 /$ 9"c" 9c 9 c S28 43'3 MKmZ4 3Km 3 KLM H 9 c S9= > H:2 /$ 9""( 9 c S22 43'3 MJmZ4 25m 3 K8H H:H / 9""cB( 9 c S2H L5'3 MMmZ4 48m 3 KKM 43K

131 0<$<$' '1'!%)1)4)*)%)1*1!D %1%.%) ''1%)1 '/%6%() "0(.9c=0.>"c(<"9"G 9(<+(""+":*"(" 6, + (" " 9N" " 9( I"c)c: " 0(.9c =0.> +) 9 (< $" c"(c c 9" c ( => c"= >%c c"=9 c > "cg+& F+4M:(' (<6ccc"+B0."c< ("")C("$+"5:2:4: P(+C(("0.6")C(+" ("" $ ' C( #" (+G "("$69c"(c(: ", 6, C( " $ $ $( c 9N"(:("0.6+C(("" $ '9"C(+'(""$9c" 9(,: cc"c9$( $"c(+cb( " "% ("" ( 9c("c7 43L

132 ! " #$ % &% ' ' ()' *++,- *" (#, $" c 9" D 0. c" 9 $ 9" c cc C( (" c9cc":fcc0.c(" (N c" c ( => c" = > (" (N c", c%cc"=9 c > ("c" c(: 9 " 9" c ( F+25 9""cB( (B =9 c 4 4>=9 c 2 2>: 0 F+ 28 "' $( c C( 0. c C( 9 D O" (N c" c( cg +c " $"c: c9c c F+ 28 " c9c c 9c(""cc D"(: 443

133 F+28'cC(0(.9cc: )*% B$;;C $B$;$;C +B$;0;C 0B$;2;C 2B$;I;C "6=/> ' M '3 24 '3 25 '3 H4 "6. =/> =/> nn *9c c H HL H 54 H H4 H 2J H 28 2 M8 2 8H 2 MM 2 M3 2 M M 3 2M 3 LM2 3 LM2 3 LMM 3 LM8 3 LMM " 9( ( F+ 28 ' + C( cc c"c9cc "6.&#" c"("$c(0.h 0.50.J C(("5 J M (N c" c( c":?d C( # (" 9 $9c % c " < " (" $ " " c)(' 0.H " %c c" cc ( (:.$0.H6$(M5: $(M51F$(9c0.H: 0 $( MJ ' c c 0. H C( " 9 c " 9 c + " +&: 444

134 $(MJ1*c0.H 0<$<+ '/1 ' ','11# 6) 1%.%) 1 '1!/% 1,'% 1. &') '' '1'!%)1)4)*)%)1 / H:H $"O = # L> 0.H 9" $ (=>c" = > F+ 4M 9" " cb(: *"' ( c c / H:H $ "O =$( MH> 0.H =$( MJ> ' + C( 0.H 6 c< 9c(" " C( 9N" (: " 9( c c(' + " $ ("c"(#,0.h: 0 F+ 2K ( %c c" +"+&=9 c+ > => c"= > "%cc"=9 c >"0.H 442

135 9" " cb(:. F+ 2K c +c" "" +F+4M cc9 c "0.H: F+2K'(<"cG+& "%cc"=9 c >"0.H:." 9 c+ =/> =""> 9 c 0.H=2'5'4> =/> 4 4H 3 J3 M 22 M 4J K L L 25 L 4M H H 2H 3 H H 2J H 5 H4 3 HM 2 H2 4 HM 5 J 2J 3 H8 M 22 L 2M K M H4 3 HH 2 2K M HJ H 8 8 K J8 L 48 L 44 2 K 48 J J4 L 23 H 45 L L 24 L HH L 53 M 2K 2 28 L 44 2M 8 H8 L 28 K H3 J 42 H8 5 H2 L H2 5 HL K 4H 4H M JL M 45 2H 5 HL L M 4J 55 H H3 2 HJ L 5M 2 4M J2 H 2L L HH J 5H 3 48 J 8 MH M J 4K L 4J M 45 K 4L 2H H H8 M 24 H 2J 4 23 H2 5 H4 M 22 M 2K K 24 5 K M L 5 L L JH M 4J H H2 4 H4 2 2J L HH 5 25 HK 8 H4 M H J M J MJ M 42 M M K 2M 4H K J H M M H8 L 25 H 28 K 2K H2 J H2 M 2M 5 HH H 2L H H3 H2 4 H8 L 2H K 28 5 H4 54 H HJ 2 H3 M HJ K H2 55 K 2L L H3 M HL H HH 23 K 55 M L H5 25 L H L 25 K HJ 52 K 28 2 HH M 5H K HM 5M 8 2M L H M 44H

136 F+2K'(<"cG+& "%cc"=9 c >"0.H=c(>:." 9 c+ =/> =""> 9 c 0.H=2'5'4> =/> H8 45 L 5K 2 4L HK H4 M H5 2 2K K H5 8 HL 54 H HM M H5 5 HK K 53 5H L HH M H H K J K 4M 2 52 H3 H H8 2 2M 5 H3 4 5H HL K HH L H2 H HK L H3 M HH K 5H 4 5J 4H 3 J J 5 5M 45 3 J M H K H M HH 5 H4 4 5L 2J 3 HJ 2 2H 3 2K 2 J3 H4 3 HJ L H3 M HJ 4 J4 8 K M3 M 4J 4 L M J2 48 J JJ L JH 24 L 52 M H M J5 HH L H2 L 2M 8 HH J JJ 2M L L 25 J JM H8 5 HL M HH L H5 J J8 4H M JJ 2 2H 4 44 M JK 2H 5 5H M H3 H 2J M JL 55 H H4 M H4 K HL L M3 J2 H HH 2 HM M 5J H M4 J 8 M J 8 J M J2 L MH 2H H HL 2 23 K 2H K M5 H2 5 H5 2 2J H H4 H MJ 5 K MJ M 5 MM 42 L HL 2 48 K 4L 5 M8 H2 4 H4 L 2M M HH L MK HK 8 H3 M 28 8 HJ 8 ML M J MM M 43 L 5 K 83 4H K JJ M 4K 5 42 J 84 2M M 52 L 22 L 22 K 82 H2 J HJ M H4 4 HJ L 445

137 F+2K'(<"cG+& "%cc"=9 c >"0.H=c(>:." 9 c+ =/> =""> 9 c 0.H=2'5'4> =/> 8H M M 2H H 4L M 85 H2 4 5H M 2J H 2H 4 8J 54 H HJ L H2 M H8 H 8M 55 K H3 2 HM K 58 J K H M 5 8K 25 L H8 2 2H L 52 K HJ L H2 8 H8 5 K3 5M 8 H4 2 H5 5 5H J K4 45 L J3 M 23 M 4J L K2 H4 M H5 L 2J L H4 5 KH 54 H HJ 2 2L 2 H5 H K5 5H L H3 M H KJ 4H K 5L L M 5 KM H3 H H4 L 25 8 H4 8 K8 HL K H HH 4 KK 54 2 H3 L HH M 52 M *' ( F+ 2K 9" $ "$"c"(#,)nc/c9 #c " $ "O c" (#, $" c"(cc:0f+2l'("b" "$: F+ 2L'B" " $ " "O ($c"(#,0.h: '/ 5 9 c S9=> J 9 c S9= > M 9 c S9= > 6=')8 /$"9"" cb( /$"9"" cb( /$"O9"" cb( 44J

138 0$(MM'B(("c(#c9 /5 C(""%cc"cc=9 c > ( => 9""cB(:/5("9"/4:H+ c"+"("$"+$ "cg +& F+2K:c9cc/5 6 2 S3 KKK: $(MM'/5'9 c S9=>'"#c: 0 $( M8 ' B( ("" %c 9 /J C(""%cc"cc=9 c > ( c" = > 9" " cb(: / J(" 9"/ 2:H+ c"+ "("$"+$ "cg+& F+ 2K: c9c c / J 6 2 S3 K88: 44M

139 $(M8'/J'9 c S9= >'"%c: " $ "O =/ M> " %c c"cc=9 c >( =>c"= > 9""cB( 6 $(#7 9 c SH2 KH'3 8HmZ3 LHm =43> / M (" c9c c 2 S3 KKM: 0 $( MK "' (" c c ( + c" (< /M: 448

140 $(MK'*ccc"/M: /M("9"/H:H+c"+"(" $ "O + $ " cg +& F+4M: 0F+H3'(","$9c" (#, ( 9c: #G ""Dc C( 9" c " ( c c9c c= 2 >: 44K

141 F+H3',"$c( $c"(#,0.h: 5 '/ 6=')8 -.'11# $ 9 c S9=> J 9 c S9= > M 9 c S9= > /$ " 9"" cb( /$ " 9"" cb( /$ "O 9"" cb( ). ' ','11# 9 c S484 JHm ='3 358m> 3 KKK #c 9 c S3 3KJL 4 8MH8 3 K88 %c 9 c SH2 KH'3 8HmZ3 LHm 3 KKM " 0<$<0 )1*!11# 1'1!/% 1 " 9( ( " $ " F+ 25 +' C( ") B( c( =" 2 > 9" +cc"9"c"9c:0' "+6" C( C( 9" c ( 9" " cb( c9c c = 2 > (' (" "D +9"": "9((F+2M +'C(( "$"Oc(("")c9c c = 2 > " " $ " =F+ 25>: " " C( 9 + c" " $" ")B(c(=" 2 >9"+ cc " 9" c" 9c: ' +"+6"C(C(9"c( 9" " cb( c9c c = 2 > (' (" "D+9"": 44L

142 " $ "O 9" c" c ")"%cc"cc 9 ('$("")c""=f+2m>:0 6 "cc( " $))"C( ((< = c"> c<+c"("%c(9ccc: ")cg cdcc"(c( %cg""cc c" c " c $ (' Nc: *" + c9c c 0. c =F+ 28> c c 0.H =$( MJ> +' C( 9" c< C(" 9N" ( C( " 9" C( ( 0. 6 (" + 6$ " %cc"((: " $ + ( " c" (#,0.H="5 JMF+H3>"c9c c"c(c(+""$ c" =F+ 25 2M> C( 9" + c" + ( #" F+ 4M: " 9( ' 9" C( ( 0. c+(( ") "$: 0<+'1!/% 1 1'1%)1'%/)K% 1'&6%1 0F+H4(%cc"=9 c > =>c"= ><cc "+:.%cc"9+=9 c + >9" 423

143 c" c c( " cg ") cc (( C( C( %c c" 9 +& =9 c + >9"c"cc(c"c(O": F+H4'(<"+: H)' H % ' B )%1C 4 * 6% B%C 4 *%6 B%C B&&C &%./%1)4< &%./%1)4< ). ' %,',% /!&. B&&C 4 *%6F 4 * 6% 8 24 L 22 2 JM Z H H 5L 4 23 L 4Z H 2K 25 L 2M L H2 4 2J 3 4Z K 8 22 K 2M M 4Z J 5 28 J 53 H 2M K 4Z K 2K 2K 2 H3 3 HK 3 H4 H 4Z M 8 23 L 23 K HK Z M HM K 2J 8 4Z H 2K H3 4 HH 2 HH J HH 3 4Z /6=Y> 4 3M 3 3J *=Y> 5 J 0<0 1)&%)8% %'1)15*)%@*&.'11# **''&6%!)/)K% & '/1 '','11# 0<0< 1)&%)8% % *&.'11# %.%) ' '1!/% 1 ' '1%)1 '.''%"# '.)BC 0F+H2'"%cc" ( => (<' " $ " + c" + ( $ " ( 9c =/ 5> c" + " +& =/ 4:H>: 0 ""+c"6 c9c G9 c ="c">9 c+ =+ 424

144 %c c" c c( " cg ")cc((>: F+ H2 ' " %c c" ( : H)' % ' B )%1C 4 * 6% B%C B&&C 4 *'1 B <0C B%C 4 *'1 B <0CF 4 *6% 4 *'1 B <<+C B%C 4 *'1 B <<+CF 4 *6% 8 24 L JM 4 42 H 3 JM 44 K 3 J L J 4M M 3 8H 2K 25 L H2 4 H8 L 4 J2 H8 5 4 J K H J 3 LL J 5 53 H 2J K J H 3 LL 2K 2K 2 HK 3 2K K K L HK 4 2K M 4 H8 2K 4 4 H5 +H 45 2M 5 HM K H J 2L L 4 4H 2K H3 4 HH J HJ J 4 4K HJ 3 4 4M / ; L ; 3 2L *=Y> 28 5 ; 2K 3 0<0<$ 1)&%)8% % *&.'11# %.%) ' '1!/% 1 ' '1%)1 ''1*/'&')%BC 0 F+ HH ' " %c c" ( c" = > (<' " $ " + c" + ( $ " ( 9c =/ J> c" + " +& =/ 2:H>:.'"+6""%cc"+ D+c9c9+ccN"(<:0"" + c "6 c9c G9 c ="c">9 c+ =+ 422

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