Post on 18-Feb-2018
7/23/2019 Calculation Standard Deviation for Concrete
http://slidepdf.com/reader/full/calculation-standard-deviation-for-concrete 1/15
Package : SGEDT - P4
Period : 28.02.09 On Word
Supplier : Gemencheh Granite
Grade : G 35 Normal
Symbol:!
: - Compressive Strength of Cubes In a Batch
" : - Average Compressive Strength of A Cubes in a Batch at !" Da#s
ẍ : - Average Compressive Strength of A Batches During the Perio$ %n$er Consi$eration
: - Average of &our Consecutive Batches
# :: - Characteristic Strength
' 35
n. S$ruc$ure Par$ o% S$ruc$ure &" ! 'ẍ #()g &"'
( *9+ ,(S- S(, )"()*(!**" )+())(!**" ,4(" ,+()) ,+()) - - - - - - 35.0+ -.("+ /)(+" - ,.(/*
( *9+ W( !)()*(!**" )"())(!**" ,4(" ,)()) ,*(!! - - - - - - 32.0/ -)*(") ))/(". - ,.(/*
( *9+ OO1 S(, !,()*(!**" !*())(!**" 4,(." 44(// 4!(** - - - - - - +3.+8 *(/* *(,/ - ,.(/*
( *9 ,(S- S(, )+())(!**" ),()!(!**" ,(,, ,4(/. ,/(!* - - - - - - 3./3 -/()+ ,.(", ,/(", ,.(/* -*(
( *9 W( )"())(!**" )/()!(!**" 4*(44 4/(/. 4(,, - - - - - - +5.+8 !(/* /(.4 ,(44 ,.(/* )(
( *9/ ,(S- S(, !4())(!**" !!()!(!**" 44(!! 44(/. 4!(** - - - - - - +3.3 *(.+ *(+/ 4!(,, ,.(/* 4(
( *9 OO1 S(, !*())(!**" )"()!(!**" +*(44 /*(** ,(.. - - - - - - 50.0/ .() +)(/4 4,(" ,.(/* /(
( *98 ,(S- S(, !.())(!**" !+()!(!**" ,.(+/ ,.(+/ ,4(44 - - - - - - 3.52 -/(,/ 4*(+* 4,(, ,.(/* /(
( *9/ W( *,()!(!**" ,)()!(!**" 4!(** ,(." ,"(** - - - - - - 39.93 -!(/ "(.+ 4!(+4 ,.(/* 4(
( *9/ OO1 S(, )*()!(!**" *.(*)(!** 4,()) ,(,, ,(." - - - - - - +0./+ -!()4 4(/* +!(.! ,.(/* )+
( *98 W( )!()!(!**" *(*)(!** ,/(" ,.(,, ,.(+/ - - - - - - 3/.2 -+(/! ,)(/, +)(), ,.(/* ),
( *98 OO1 S(, )+()!(!** )!(*)(!** 4*(** ,.(." ,/(** - - - - - - 3/.93 -4(/ !4(+" 4"(* ,.(/* )*
( *99 ,(S- S(, *4()!(!**" *!(*)(!** 4*(" ,/(/. ,,(." - - - - - - 3/. -+(.. ,,(,* 4"(!4 ,.(/* )*
( *99 W( ).()!(!**" )4(*)(!** 4"(44 4"(!! 4+(." - - - - - - +/.+8 4(/* !)()! +*(), ,.(/* )!
( *99 OO1 S(, !*()!(!**" ).(*)(!** ,.(+/ 4!(" ,"(44 - - - - - - 39.3 -,(!+ )*(+ 4("+ ,.(/* )!
( *00 ,(S- S(, !*()!(!**" ).(*)(!** 4.()) 4!(44 4,()) - - - - - - ++.22 )(,4 )(." +)(+ ,.(/* ),
( *00 W( 4 OO1 S(, !.()!(!**" !4(*)(!** 4+(+/ +*(/. 4/(!! - - - - - - +/.+8 4(/* !)()+ +,(" ,.(/* )/
( *03 ,(S- S(, ,*()!(!**" !.(*)(!** 4!(** 4)(,, 4,(,, - - - - - - +2.22 -*(// *(44 ++(!/ ,.(/* ).
( *03 W( 4 OO1 S(, ),(*)(!** )*(*!(!** 4!(!! 4)(." 4,(+/ - - - - - - +2.52 -*(,/ *(), +4(*! ,.(/* )/
( *05 ,(S- S(, *(*)(!** */(*!(!** 4,(,, 4/(" 4,()) - - - - - - ++.++ )(+/ !(4, ++(!! ,.(/* ).
( *03 OO1 S(, )/(*)(!** ),(*!(!** ,"(!! 4*("" ,/(** - - - - - - 38.3/ -4(+! !*(4) +,(./ ,.(/* )/( *05 W( 4 OO1 S(, !!(*)(!** )(*!(!** 44(" 44(!! 4!(44 - - - - - - +3.85 *(. *(, +!("+ ,.(/* )+
( *0 ,(S- S(, )(*)(!** )/(*!(!** 4/(44 4,(,, 4!(!! - - - - - - ++.00 )()) )(!4 +,(! ,.(/* )+
( *0 ,(S- S(, ,*(*)(!** !.(*!(!** 44(!! 4,(+/ 4!(!! - - - - - - +3.33 *(4+ *(!* +,(+* ,.(/* )+
( *0 W( 4 OO1 S(, *+(*!(!** *+(*,(!** 4,(." 4,()) 4/(44 - - - - - - ++.++ )(+/ !(4, +,(+* ,.(/* )+
( *0 W( *.(*!(!** *.(*,(!** 4)(+/ 4+(." 4,(." - - - - - - +3./ *("! *(/" +4(", ,.(/* ).
( *0 OO1 S(, ))(*!(!** ))(*,(!** 4+()) 4,(." 44(44 44(** - - - - - ++.33 )(4+ !()* +4(+ ,.(/* ).
( *0+ ,(S- S(, )!(*!(!** )!(*,(!** 4)(." ,"(!! ,"(/. ,(+/ 4)(,, 4*(" - - - +0.08 -!(") .(" +,(. ,.(/* )/
( *9+ ,(S- S(, )"(*!(!** )"(*,(!** +)(+/ 4"(/. ,.(,, - - - - - - +5.85 !(. "("! +4(/* ,.(/* ).
( *0+ ,(S- S(, !)(*!(!** !)(*,(!** 4,(++ 4/(!! +!(// - - - - - - +/.+8 4(+ !)(* ++(,/ ,.(/* ).
( *9+ W( 4 OO1 S(, !+(*!(!** !+(*,(!** 4*(" 4!()) 4.()) - - - - - - +3.3/ *(4 *(!4 ++(!" ,.(/* ).
( *93 ,(S- S(, !+(*!(!** !+(*,(!** 4(,, 4.(+/ 44(44 - - - - - - +/. 4(!, ).("/ ++(. ,.(/* )"
( *0/ ,(S- S(, )/(*,(!** ),(*4(!** 44(44 4)(.. 4!(!! - - - - - - +2.8 -*(*. *(*) +/(// ,.(/* )
( *93 OO1 S(, )"(*,(!** )+(*4(!** 4,(.. 4!(!! 4+(,, - - - - - - +3.// *(" *(. +/()4 ,.(/* )"
( *92 W( !,(*,(!** !*(*4(!** 4!(44 ,"("" 4)()) - - - - - - +0.8 -!(*. 4(,* +4(4. ,.(/* )/
( *08 ,(S- S(, !4(*,(!** !)(*4(!** +)()) 4()) 44(" - - - - - - +8.3/ +(4 ,*()* ++(.! ,.(/* )"
( *0+ ,(S- S(, &/m' !.(*,(!** !4(*4(!** ,()) ,()) 4!(!! 44(44 - - - - - +.22 -)(// !(.. +4(!+ ,.(/* )/
( *92 OO1 S(, !"(*,(!** !+(*4(!** 4+(." 4/(!! 4+(+/ - - - - - - +5.85 !(. "("! ++(*) ,.(/* ).
( *0/ OO1 S(, ,*(*,(!** !.(*4(!** 4(,, 4.()) 4,()) - - - - - - +.52 ,(/, ),(!* ++(/ ,.(/* )"
( *08 W( 4 OO1 S(, *"(*4(!** */(*+(!** 4,(." 4!(/. 4+(." ,(,, - - - - - +2.89 *(*) *(** +/(!) ,.(/* )"
( *0+ W( &/m' )*(*4(!** *"(*+(!** 4)(,, 4.(." 44(!! - - - - - - ++.++ )(+/ !(4, ++(!, ,.(/* ).
( *02 ,(S- S(, ))(*4(!** *(*+(!** 4"(" 4!(/. 44(** - - - - - - +5.9 !(,* +(,* +/(!! ,.(/* )"
( *0+ W( &/m' 6 )"(*4(!** )/(*+(!** 4!(!! 4,(." 4!(" - - - - - - +2.9 *(*" *(*) ++(+* ,.(/* ).
( *0+ OO1 S(, ( !*(*4(!** )"(*+(!** 4*(** ,"(" ,/(44 ,(+/ 4*(44 - - - - 39.0/ -,("! )4(+" +,(/4 ,.(/* )/
( *0+ OO1 S(, 6 !,(*4(!** !)(*+(!** ,()) ,(+/ 4!(" 44(" 4,()) - - - - +.9 -*(. *(4 +,(, ,.(/* )+
( *09 ,(S- S(, !+(*4(!** !,(*+(!** 44(** 4!(** 4)(,, - - - - - - +2.++ -*(44 *() +!(" ,.(/* )+( *08 ,(S- S(, &7S!8.2m' !"(*4(!** !/(*+(!** 4*(44 4*(44 44(** - - - - - - +.3 -)(!/ )(+" +!(** ,.(/* )4
( *0+ W( ,* ,*(*4(!** !"(*+(!** 4"(" 4!(!! 4.(+/ 44(** - - - - - +5./ !(." .(.+ +!(/" ,.(/* )+
( *02 W( *+(*+(!** *!(*/(!** 4+(." 44(44 +!(!! - - - - - - +/.+8 4(/* !)()! +4(." ,.(/* ).
( *0+ OO1 S(, ,* *"(*+(!** *+(*/(!** 44(" 4"(** 4"(44 44(44 4,(+/ ,"(!! 4,(+/ 4)(." 44(44 ++.5 )(!/ )(/* ++(,4 ,.(/* ).
( *09 W( ),(*+(!** )*(*/(!** +*(!! 4/(!! 4,()) - - - - - - +.52 ,(/, ),(!* +/(,/ ,.(/* )"
( *08 W4P S(, &7S!.9m' )/(*+(!** ),(*/(!** 4/(" 4!(/. 44(" - - - - - - ++.82 )(, ,(.4 +.()/ ,.(/* )
( *09 OO1 S(, )(*+(!** )/(*/(!** 4!(** 44(** 4*(/. - - - - - - +2.22 -*(// *(44 +/(,* ,.(/* )"
( *0 W(4 OO1 S(, !/(*+(!** !,(*/(!** 4)(+/ 4+(." ,"(** - - - - - - +./8 -)()* )(!! +4(". ,.(/* ).
( *09 W4 S(,!3.0m &7S' !.(*+(!** !4(*/(!** ,.(." ,(+/ 4!(/. - - - - - - +0.00 -!("" "(,* +,("4 ,.(/* )/
( *09 W4 S(,!3.0m &7S' !(*+(!** !/(*/(!** 4,(." 4.()) 44(** - - - - - - ++.9 !(*" 4(,! +,(4+ ,.(/* )+
( *0+ WNG W( ,.S(, &7S' *)(*/(!** !(*/(!** 4/(** 4+(,, 44(" - - - - - - +5.+ !(+! /(,/ +,(+ ,.(/* )/
( *3 ,(S- S(, *4(*/(!** *!(*.(!** 4.()) 44(" 4/(** - - - - - - +.00 ,()! (.) +4(+4 ,.(/* )/
( *0+ ,(S- S(, ),(*/(!** ))(*.(!** 44(** 4,(+/ 4*(44 - - - - - - +2./ -*(!! *(*+ +4(./ ,.(/* ).
( *2 ,(S- S(, )+(*/(!** ),(*.(!** 44(" 4,(." 4,(,, - - - - - - ++.00 )()! )(!+ ++(./ ,.(/* )"
( *99 ,(S- S(, &7S' )+(*/(!*)* ),(*.(!** 4+(,, 4"(/. 4.(++ - - - - - - +/.8 4(,* )"(4" +/(,) ,.(/* )"
( *8 ,(S- S(, !*(*/(!** )"(*.(!** 4/(/. ,(+/ 4+(,, - - - - - - +3.85 *(. *(4 ++(, ,.(/* )"
( *0+ W( &7S' !*(*/(!** )"(*.(!** 44(" 4)(." 4+(,, - - - - - - ++.00 )()! )(!+ ++(4, ,.(/* ).
( *05 ,(S- S(, &2nd S(G-' !!(*/(!** !*(*.(!** 4,(+/ 4!(/. ,.(,, - - - - - - +.9 -)(.* !("" ++(*/ ,.(/* ).
( *3 W( !!(*/(!** !*(*.(!** ,"(/. ,(+/ ,"(44 - - - - - - 38.89 -,( )+(+ +,(." ,.(/* )/
( *0+ W( &7S' !/(*/(!** !4(*.(!** 4"(** 4,(." 4.(,, - - - - - - +.3/ ,(4 )!()+ +,(+" ,.(/* )+
( *3 OO1 S(, !.(*/(!** !+(*.(!** 44(44 4"(** 4!(" - - - - - - +5. !(!, 4(/ +,(" ,.(/* )/
( *2 W( 4 OO1 S(, )*(*.(!** *.(*"(!** 4)()) ,"(/. 4)()) - - - - - - +0.30 -!(+ /(/ +!(/ ,.(/* )+
( *03 W.W( ! W( &S 4 S' !,(*.(!** !*(*"(!** ,/(" 4,(,, 4+()) - - - - - - +./8 -)()) )(!, +,()) ,.(/* )+
( * ,(S- S(, !)(*.(!** )"(*"(!** 4)(,, 4,(+/ 4)(." - - - - - - +2.22 -*(// *(44 +,(4 ,.(/* )/
( * W( 4 OO1 S(, *4(*"(!** *)(*(!** 4/(!! 4!(" 4,(+/ - - - - - - ++.22 )(,4 )(. +,(4) ,.(/* )+( *88 ,(S- S(, */(*"(!** *,(*(!** 44(!! 44(44 4!(44 - - - - - - +3./0 *("! *(/. +,(*/ ,.(/* )+
( *93 W( */(*"(!** *,(*(!** 4/(44 4.(+/ 4+(+/ - - - - - - +.52 ,(/4 ),(!! +4(/) ,.(/* ).
*9+ WNG W( ! W( */ *" !** *, * !** 4! 44 4/ !! 4! ** +3 55 * /. * 4+ ++ */ ,. /* ).
G35 Normal ! 28 6ay *oncre$e*ube e$ ecord
";
"2;
"3;
ẍ+
- Characteristic Strength0 f 1 2 *(+ 3 current margin%
k
% k 5mm!
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7/23/2019 Calculation Standard Deviation for Concrete
http://slidepdf.com/reader/full/calculation-standard-deviation-for-concrete 2/15
( *0/ WNG W( ! W( &4' *,(*(!** *)()*(!** 44(44 4!(!! 4*(44 - - - - - - +2.3/ -*(+! *(!. +!(), ,.(/* )4
( *5 ,(S- S(, &$ S$age' *+()*(!** *!())(!** 4)(." 4(." 4/(" - - - - - - +.5 ,(!. )*(/. /,(/. ,.(/* !/
( *9 WNGW( ! W( &7S' )*()*(!** *.())(!** 4/(" 4.(,, 4+(+/ - - - - - - +.59 ,(.) ),(./ /4(*. ,.(/* !/
( *5 WNGW( ! ,(S- S(, &7S' )!()*(!** *())(!** 44(" 4"(" 4!(/. - - - - - - +5.+8 !(/* /(./ /+(), ,.(/* !.
( *5 W( 4 .S(, &$ *on.' )()*(!*)* )/())(!** +,(,, 4.(+/ +!(44 - - - - - - 5. "(!, /.(/. /.(/ ,.(/* ,*
( *5 WNGW( ! W( &7S' )()*(!*)) )/())(!** +,(,, 4.(+/ +!(44 - - - - - - 5. "(!, /.(/. .*(.* ,.(/* ,,
( * ,(S- S(, &$ S$age' ))())(!** *()!(!** 4(,, ,()) 4)(,, - - - - - - +3.2 *(,. *()4 .*(, ,.(/* ,,
( *90 WNGW(! ,(S- S(, !4())(!** !!()!(!** 4,()) 44(44 +*(!! - - - - - - +5.92 ,(*4 (!4 .*(". ,.(/* ,,
( * $ S$age &Wall 4 oo%' !+())(!** !,()!(!** 4*(" 4+(." 4*(" - - - - - - +2.52 -*(,/ *(), /("+ ,.(/* ,!
( * WNGW( ! W( &7S' !+())(!** !,()!(!** 4*(" 4+(." 4*(" - - - - - - +2.52 -*(,/ *(), /()) ,.(/* ,)
( *93 ->-NSON O1 *?@- *)()!(!** !()!(!** ,(+/ ,(,, 4,(+/ - - - - - - +0.82 -!(*. 4(!. //(+4 ,.(/* !"
( *+ $ S$age &W(' !!(*)(!*)* )(*!(!*)* ,/(44 ,.(." ,/(44 3.89 -/(** ,+(. /!(" ,.(/* !+
( *3a $ S$age &,(S- S(,' !.(*)(!*)* !4(*!(!*)* 4!(!! ,(+/ 4*(" +0.89 -)( ,(" /!(, ,.(/* !4
( *3a W,G W( ! ,(S- S(, *,(*!(!*)* *,(*,(!*)* 4*(** 4!(!! 4!(!! +.+8 -)(4* )(. /)(!" ,.(/* !,
( *82 $ S$age &W(4OO1' *+(*!(!*)* *+(*,(!*)* 4*(!! 4)(,, ,"(44 +0.00 -!(" "(,4 /*(/+ ,.(/* !,
( */a $ S$age ! ,(S- S(, *.(*!(!*)* *.(*,(!*)* 4)(." 4,()) ,"(!! ,"(/. 4)(." ,()) +0.+5 -!(44 +(+ /*(), ,.(/* !!
( *3a $ S$age &W(' *"(*!(!*)* *"(*,(!*)* ,.(." ,.(." ,/(44 3/.33 -+(++ ,*(") +(!/ ,.(/* !)
( *3a WNG W( ! W( *"(*!(!*)* *"(*,(!*)* ,.(." ,.(." ,/(44 3/.33 -+(++ ,*(") +(,. ,.(/* !)
( */a $ S$age ! ,(S- S(, ))(*!(!*)* ))(*,(!*)* 44(** 4.()) 4!(!! 44(44 4)(,, 4"(" ++./ )(." ,(). /*(,) ,.(/* !!
( */a W( P(N(- 2 &30A' *)(*,(!*)* !(*,(!*)* ,(+/ 44(" ,"(/. +.0+ -)("4 ,(4* /*(!* ,.(/* !!
( */a OO1 S(, P(N- 2 &30A' *+(*,(!*)* *!(*4(!*)* 4)()) 4!(!! 4,()) 44(44 4*(44 4"(" +3.3/ *(4" *(!, /)(*+ ,.(/* !,
( */a ,(S- S(, P(N- 3 *(*,(!*)* */(*4(!*)* ,"(!! 4,(+/ 4*(" 4,()) 44(44 4)(,, +.93 -*(/ *(! /)(4! ,.(/* !,
( */a W( ).(*,(!*)* )4(*4(!*)* 4*(** 4)(,, 4*(** ,"(/. +0.00 -!("" "(,! /!(*" ,.(/* !4
( */a P(N- ! OO1 S(, !!(*,(!*)* )(*4(!*)* ,()) 44(" 4)(,, 4)(,, 4*(44 4"(" +2./ -*(!! *(*+ /,(4! ,.(/* !+
( */a P(N- 3 ! W( !(*,(!*)* !/(*4(!*)* 4.(+/ 44(44 4)(." ++.59 )(.) !(! ,(!, ,.(/* ++
( */a P(N- 3 ! OO1 S(, *!(*4(!*)* ,*(*4(!*)* 4!(/. 4!(!! 4*(** 4"(44 ,()) 44(44 +2.8 -*(*. *(** 4(/* ,.(/* +.
( *8 P(N- 3 ! ,(S- S(, ),(*4(!*)* ))(*+(!*)* ,"(/. 4,()) 4,(+/ - - - - - - +./8 -)()* )(!! +(.) ,.(/* +"
( *8 P(N- 3 ! W( 4 OO1 S(, !)(*4(!*)* )(*+(!*)* ,()) ,(+/ 4*(** - - - - - - 39.5 -,(,, ))(*. 4(44 ,.(/* +/
( *8 P(N- 2 ! ,(S- S(, !.(*4(!*)* !+(*+(!*)* 4*(** ,(+/ 4*(** - - - - - - 39.85 -,(*, ()" 4()4 ,.(/* +/
( *8 P(N- ! ,(S- S(, !"(*4(!*)* !/(*+(!*)* 4+(,, 4!(/. 4*(** - - - - - - +2./ -*(!! *(*+ ,(/ ,.(/* +/
( *8 W( 4 OO1 S(, &P(N- 2 ! 30A' */(*+(!*)* *,(*/(!*)* 4)(." 4/(/. 4/(/. 4*(" - - - - - ++.00 )()! )(!+ 4(4" ,.(/* +/
( *8a $ S$age ! ,(S- S(, )4(*+(!*)* ))(*/(!*)* 44(" 4*(** ,()) - - - - - - +.33 -)(++ !(4* 4("! ,.(/* +.
( *82 ->-NSON ! ,(S- S(, !!(*+(!*)* )(*/(!*)* 4)(,, 4)(." 44(" - - - - - - +2./ -*(!! *(*+ 4("! ,.(/* +.
( *8a ,(S- S(, 4 W( !+(*+(!*)* !!(*/(!*)* 4)(." ,()) 4,()) ,.(." 4*(** - - - - +0.3 -!(+, /(, ,(./ ,.(/* +/
( *8a OO1 S(, ,)(*+(!*)* !"(*/(!*)* 4)(,, 4+(,, 44(" - - - - - - +3.85 *(. *(, 4(*! ,.(/* +/
( *82 ->-NSON ! W( 4 OO1 S(, *,(*/(!*)* *)(*.(!*)* 4+(." 4,(+/ 44(" - - - - - - ++./+ )("/ ,(4/ 4(./ ,.(/* +.
( */ ,(S- S(, *.(*/(!*)* *+(*.(!*)* ,()) 4!(/. ,(+/ 4+(." ,"(!! - - - - +.0/ -)("! ,(,* +(), ,.(/* +.
( *8a $ S$age ! W( ))(*/(!*)* *(*.(!*)* ,()) 44(** 4,(." - - - - - - +2.30 -*(+ *(,4 +(.+ ,.(/* +"
( *8a $ S$age ! OO1 S(, )+(*/(!*)* ),(*.(!*)* 4,()) 44(" 4*(" - - - - - - +2.22 -*(// *(44 +(/, ,.(/* +"
( *8a S?AP ,(S- !)(*/(!*)* )(*.(!*)* +!(" 4"(** +*(// - - - - - - 50.52 .(/, +"(!/ .(!/ ,.(/* +
( *8a WNGW( ! ,(S- S(, ,*(*/(!*)* !"(*.(!*)* 4/(!! 4.(+/ 44(44 - - - - - - +.0/ ,() )*(). "(4+ ,.(/* /*
( *8a WNGW( S?AP OO1 S(, )+(*.(!*)* )!(*"(!*)* 44(** 44(" 4/(/. - - - - - - +5.9 !(,* +(,* (*" ,.(/* /)
( *88 S?AP ,(S- S(,!(**-SS O(6 !4(*.(!*)* !)(*"(!*)* 4!(!! 4,(+/ 4)(,, +2.3/ -*(+) *(!/ (+" ,.(/* /)
( *5 2N6 S(G-!,(S- S(, *,(*"(!*)* ,)(*"(!*)* 4*(** ,(+/ 4,(+/ +.0+ -)("4 ,(4* "("" ,.(/* /)
( *88 S?AP OP S(, W(!*88a )!(*"(!*)* *(*(!*)* 4*(" 4!(/. 4*(" +.+8 -)(4* )(/ )*(!+ ,.(/* .)
( *82 &S!5' S?AP W( OP S(, !/(*"(!*)* !,(*(!*)* 4!(/. 4*(44 ,(+/ +0.89 -)( ,(" )*"(! ,.(/* .*
( *82 S?AP ,(S- &S+' ,*(*"(!*)* !.(*(!*)* ,"(!! 4,(+/ ,()) +0.30 -!(+ /(/ )!(++ ,.(/* )
( *82 &S!+' S?AP W( OP S(, *4(*(!*)* *!()*(!*)* 44(** 4/(** 4.()) +5./0 !("! .(+ )4*(. ,.(/* )*,
( *95 WNGW(!,(S- S(, !,(*(!*)* !)()*(!*)* 4,(+/ ,()) 4*(" +.9 -)(.* !("" )4*(*" ,.(/* )*!
( *95 WNGW(!W(&7S' ,*(*(!*)* !"()*(!*)* ,+(+/ 44(** 4+(." +./8 -)()* )(!! )4*(!/ ,.(/* )*!
( *83 -> ,(S- S(,&7S' *()*(!*)* */())(!*)* 4*(" 4*(** 4,(+/ +.+8 -)(4* )(/ )4*(*/ ,.(/* )*!
( *83 -> W(OP S(, 4 S?AP )()*(!*)* )/())(!*)* 4(,, 44(44 4+(,, +.3/ ,(4" )!(), )4)(* ,.(/* )*,
&28 6ay' B " C 5/.80
305.28
Calculation:
(. *?A?(@- ,. W--DES S(N6(6 6-@(ON (,- 3.5 ! S(N
(. Aean ẍ C+/).("*
C +2.88),) n " &" ! F"' *Per Cube belo 2./ C
*(** *(**,. Aean ẍ C
*(** be$een 2./
(2. S.6e)ia$ion C),*+(!"
' 17
*(** *(** , be$een 3.+5
),* *(** *(** C 0.00 more $=an +.be$een +.+
(.3 *alcula$ed *urren$ Aargin
Current 6argin ' ,2. S.6e)ia$ion C *(**
' 5.20 !
' 0 00
(+. arge$ Aean S$reng$=
Current 6argin ' 5.20
7 ' Characteristic Strength f1 2 *(+ 3 Current 6argin
7 ' ,+ 2 +(!* 3 *(+
' 3/.598
Note:
8In the absence of sufficient $ata 9at east 4* separate batches
* *(**
*. AON7ES S(N6(6 6-@(ON &?p $o 6a$e' 0!6ec!5 6. AON7ES S(N6(6 6-@(ON &Summary'
n " &" ! F"' Aon$= Aon$ly S6 Aon$= Aon$ly S6
) *(** *(***. Aean ẍ C
*(** ovember;!**" 5.92 6arch;!*)* 2.5+
! *(** *(** ! December;!**" 5.33 Apri;!*)* .5+
C 0.00 <anuar#;!** +.09 6a#;!*)* .50
&ebruar#;!** 2.25 <une;!*)* .58
6arch;!** 2.3 <u#;!*)* 3.+8
*2. S.6e)ia$ion C *(** Apri;!** 2.83 August;!*)* 2.2
) 6a#;!** 2.2 September;!*)* 0.00' 0 00
<une;!** 2.8/ =ctober;!*)* 2.+5
<u#;!** 2.5 ovember;!*)* 0.00
A t;!** 0 D b ;!*)* 0 00
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7/23/2019 Calculation Standard Deviation for Concrete
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29!30 !(+ *
30!3 ,*(+ )
3!32 ,)(+ )
32!33 ,!(+ *
33!3+ ,,(+ )
3+!35 ,4(+ 4
35!3 ,+(+ 4
3!3/ ,/(+ ))
3/!38 ,.(+ )/
38!39 ,"(+ !+
39!+0 ,(+ ,"
+0!+ 4*(+ 4)
+!+2 4)(+ ,/
+2!+3 4!(+ 44
+3!++ 4,(+ +/
++!+5 44(+ +"
+5!+ 4+(+ !+
+!+/ 4/(+ !,
+/!+8 4.(+ )"
+8!+9 4"(+ )/
+9!50 4(+ "
50!5 +*(+ +
5!52 +)(+ ,
52!53 +!(+ +
53!5+ +,(+ !
5+!55 +4(+ )
55!5 ++(+ *
5!5/ +/(+ *
5/!58 +.(+ *
58!59 +"(+ *
59!0 +(+ *
0! /*(+ )
!2 /)(+ *
2!3 /!(+ *
o$al ++3
2 9 - 3 0
3 0 - 3 1
3 1 - 3 2
3 2 - 3 3
3 3 - 3 4
3 4 - 3 5
3 5 - 3 6
3 6 - 3 7
3 7 - 3 8
3 8 - 3 9
3 9 - 4 0
4 0 - 4 1
4 1 - 4 2
4 2 - 4 3
4 3 - 4 4
4 4 - 4 5
4 5 - 4 6
4 6 - 4 7
4 7 - 4 8
4 8 - 4 9
4 9 - 5 0
5 0 - 5 1
5 1 - 5 2
5 2 - 5 3
5 3 - 5 4
5 4 - 5 5
5 5 - 5 6
5 6 - 5 7
5 7 - 5 8
5 8 - 5 9
5 9 - 6 0
6 0 - 6 1
6 1 - 6 2
6 2 - 6 3
0
10
20
30
40
50
60
70
0
1 1
0
1
4 4
11
16
25
38
41
36
44
56
58
25
23
18
16
8
5
3
5
21
0 0 0 0 0
1
0 0
FrequencyGemencheh Granite G35 Normal Cube Crushing Test
7/23/2019 Calculation Standard Deviation for Concrete
http://slidepdf.com/reader/full/calculation-standard-deviation-for-concrete 4/15
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25
30
35
40
45
50
55
60
,+(*,///////.
,!(*.,,,,,,,,
4,(4"
,/(.,,,,,,,,,
4+(4"
4,(/,
+*(*.
,/(+!
,-(-!///////.4*(.4
,.(!/,.(-!///////.,.()),,,,,,,,
4.(4"
,-(/,
44(!!
4.(4",,,,,,,,
4!(!!4!(+!
44(44,,,,,,,,
,"(,////////.
4,("+4,(--///////.4,(,,,,,,,,,,44(44,,,,,,,,4,(.*///////.44(,,!+
4*(*.+
4+("+,,,,,,,,
4.(4.///////.
4,(,.
4.())
4!(")4,(..,,,,,,,,
4*(")
4"(,.
4)(!!
4+("+,,,,,,,,4/(+)///////.
4!("-
44(44,,,,,,,,4+()"///////.
4!(-/,,,,,,,,
,-(*//
4)(-)!4!(44,,,,,,,,4)(/!///////.
4+(//.+
4.(4"
44()4......."
4/(+)///////.
44(")///////.
4!(!!,,,,,,,,4)(."
4*(**,,,,,,,,
44(-/,,,,,,,,4+(4*///////.4/
4!(/////////.
44
4.()",,,,,,,,
4,("+,,,,,,,,44
4)()"///////.
,"("-
4/(,.
4+())
4*(!-///////.
4)(..///////.4!(!!,,,,,,,,
44(!!,,,,,,,,4,(.
4/(+!
4,(++,,,,,,,4,(!/
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,
Cummulatie Concrete !
Target Mean Strength
Compressive Strength of Cues !n a "at#h
, a $ c = N u m b e r
C o m
" r e s s i e ! t r e n g t h #
N $ m m 2
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0
02
03
0
02
03
0+
05
0
0
02
03
0+
05
0
0/
08
09
0
0203
0+
05
0
0
02
03
0+
05
0
0/
080
02
03
0+
05
0
0/
0
02
03
0+
05
0
0/
08
09
0
02
03
0+
05
0
0/
08
09
0
02
03
0+
05
0
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08
09
0
0
02
03
0
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0
02
03
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05
0
02
03
0+
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0
02
0
02
03
0+
05
0
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0
02
03
0+
05
0
0
02
03
0+
0
02
03
0+
05
0
02
03
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05
0
0
02
03
0
02
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7/23/2019 Calculation Standard Deviation for Concrete
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. . . . . . .
///.
,,,,,,
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7/23/2019 Calculation Standard Deviation for Concrete
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Package : SGEDT - P4
Period : 08.0+.09 On Word
Supplier : Gemencheh Granite
Grade : G +0 Normal
Symbol:!
: - Compressive Strength of Cubes In a Batch
" : - Average Compressive Strength of A Cubes in a Batch at !" Da#s
ẍ : - Average Compressive Strength of A Batches During the Perio$ %n$er Consi$eration
: - Average of &our Consecutive Batches
# :
: - Characteristic Strength
' +0
n. S$ruc$ure Par$ o% S$ruc$ure &" ! ẍ()g &"'
( @,*0/ ,(S- S(, *)(*4(!** !(*4(!** 44(** 44(" 4/(!! 44(" - - - - - +5.00 -!(4
( @,*0/ W( &7S' ))(*4(!** *(*+(!** 4/(!! 4(,, +)(+/ - - - - - - +9.0+ )(+
( ,@ 30 P<+ 4 P<5 & $ i%$' )(*/(!** ).(*.(!** 4+(,, 4+(+/ 4"(" - - - - - - +.59 -*("
( ,@ 30 P2<+ 4 P2<5 &$ i%$' )(*/(!** ).(*.(!** 4.()) 4(,, +*(** - - - - - - +8.8 )(,.
( ,@ 30 P2<;P<5 4 P< &2nd li%$' !4(*/(!** !!(*.(!** +*(** 4.()) +*(/. - - - - - - +9.2 )("!
( ,@ 30 P< 4 P<2 &$ li%$' !/(*/(!** !4(*.(!** +!(" 4.(+/ +!(/. - - - - - - 5.0+ ,(/*
( ,@ 30 P2< 4 P2<2 &$ li%$' !/(*/(!** !4(*.(!** +*(44 4"(** 4"(** - - - - - - +8.8 )(,.
( ,@ 2/ P- *(P 4 (,?A-N S(, !(*/(!** !.(*.(!** +!(44 4(,, 44(** 4.(,, 4/(/. 4/(/. - - - +/./+ *(,*( ,@ 30 P< &2nd i%$' 4 P<3&$ i%$' ,*(*/(!** !"(*.(!** +)()) +*(/. +*(!! - - - - - - 50./ ,(!!
( ,@ 30 P2<;P2<2&2nd i%$' 4 P2<3&$ i%$' ,*(*/(!** !"(*.(!** 4/(44 4"(44 +)(+/ - - - - - - +8.8 )(,.
( ,@ 30 P<2;P<3; 4 P2<3 *!(*.(!** ,*(*.(!** 4+(,, 4+(,, 4+(." - - - - - - +5.+8 -)(
( ,@28 P- *(P 4 (,?A-N S(, *)(*"(!** !(*"(!** 4+(." 4+(,, 4"(** - - - - - - +.3/ -)(*
( ,@3 $ S(G- *ONS?*ON ! *OSS7-(6 ! P- 4 2 *+(*"(!** *!(*(!** 4+(." 4!(/. +*(!* - - - - - - +.22 -)(!
( ,@28 (,? W( 4 WNG W( ! (bu$men$ ( ))(*"(!** *"(*(!** 44(" 4!(!! 4.(+/ - - - - - - ++.89 -!(+
( ,@3 )4(*"(!** ))(*(!** 4,(+/ +!(44 4,(+/ - - - - - - +.52 -*(
( O, ( !*(*"(!** ).(*(!** 44(44 44(** 4,()) - - - - - - +3.85 -,(+
( ,@30 !"(*"(!** !+(*(!** 4(+/ 4/(" 4"(44 - - - - - - +8.30 *("+
( ,@30 !"(*"(!** !+(*(!** +,(." +!(** +4(/. - - - - - - 53.+8 /(*4
( ,@30 *)(*(!** !(*(!** 4.()) +*(!! 4+(." - - - - - - +/./0 *(!/
( O, ( *4(*(!** *!()*(!** 4,(." 4.()) 44(" - - - - - - +5.2 -!()
( ,@3 P-*(S .*. S(, &P-A(N-N 1OAWOD 1O 6-*D S(,' )4(*(!** )!()*(!** 4"(** +*(44 4/(/. - - - - - - +8.3/ *(,
( ,@29 P- *(P ! (bu$men$ , ).()*(!** )4())(!** +4(44 +/(" 4.(+/ - - - - - - 52.9 +(+!
( ,@32 P- *(P 4 (,?A-N S(, !"()*(!** !+())(!** 4,()) +*(!! +4(/. - - - - - - +9.33 )("
( ,@32 P- *(P 4 (,?A-N S(, ,*()*(!** !.())(!** +*(!! +,(." +,(." - - - - - - 52.59 +()+
( O, 2 $ 1 *O?AN &+no' ! (bu$men$ , *4())(!** *!()!(!** +!(" 4/(" 4"(** - - - - - - +9.2 )("!
( O, 2 2nd 1 *O?AN &+no' ! (bu$men$ , */())(!** *4()!(!** 4"(44 4+(,, 4/(/. - - - - - - +.8 -*(/
( O, 2 3rd 1 *O?AN &+no' ! (bu$men$ , *.())(!** *+()!(!** 4.(+/ 4(,, 4)(." - - - - - - +.22 -)(!
( O, 2 $ 1 *O?AN &+no' ! (bu$men$ ( ))())(!** *()!(!** 4"(44 4/(/. 4"(" - - - - - - +8.00 *(+/
( ,@32 $ 1 (,?A-N W( WNGW( ),())(!** ))()!(!** 4.(,, ++(,, +!(!! - - - - - - 5.3 4()"
( ,@32 $ 1 *O?AN &+no' ! (bu$men$ ( !"())(!** !/()!(!** 4"(" +!(!! +)()) - - - - - - 50./+ ,(,*
( O, 2 *OSS7-( ! (,?A-N ( !"())(!** !/()!(!** 4"(** +,(,, 4"(" - - - - - - 50.0/ !(/,
( O, 2 *OSS7-( ! (,?A-N , *!()!(!** ,*()!(!** 4/(/. 4.()) 4)(,, - - - - - - +5.0+ -!(4
( ,@ 33 (,?A-N ( ! S(G- , )!(*)(!*)* *(*!(!*)* 4.()) 4/(/. +)(+/ - - - - - - +8.+5 )(**( ,@ 33 (,?A-N ( ! S(G- ( ),(*)(!*)* )*(*!(!*)* 44(" 4"(44 4.()) - - - - - - +.8 -*(/
( ,@ 33 (,?A-N ( ! S(G- * 4 2* )+(*)(!*)* )!(*!(!*)* +)()) 4(." ++()) - - - - - - 52.00 4(+/
( ,@ 33 (,?A-N , ! S(G- ( )/(*)(!*)* ),(*!(!*)* 4,(+/ +)(+/ 4+(,, - - - - - - +.82 -*(/
( ,@ 33 (,?A-N ( ! S(G- 26 )"(*)(!*)* )+(*!(!*)* 44(" 44(** 4(,, - - - - - - +.0/ -)(,
( ,@ 33 (,?A-N , ! S(G- , )"(*)(!*)* )+(*!(!*)* 44(** 4,(+/ 4+(." - - - - - - ++.+5 -,(*
( ,@ 33 (,?A-N , ! S(G- *2* 4 26 !*(*)(!*)* ).(*!(!*)* 4/(/. 4/(!! +*(/. - - - - - - +/.85 *(4
( ,@ 3+ $ 1 *O?AN &Pa<!3' ! P- *"(*!(!*)* *"(*,(!*)* 4,()) 4,(+/ 4,()) - - - - - - +3.2 -4()
( ,@ 3+ 2nd 1 *O?AN &Pa<!3' ! P- *(*!(!*)* *(*,(!*)* 4.(." 4+(,, 4+(+/ - - - - - - +.22 -)(!
( ,@ 2 6-*D S(, !,(*!(!*)* !,(*,(!*)* 44(44 4/(!! 4(." - - - - - - +.8 -*(/
( ,@ 2 6-*D S(, &00mm G(P' !.(*!(!*)* !.(*,(!*)* 4"(" 4(,, 44(" - - - - - - +/./0 *(!/
( ,@ 30 P-*(S .*. S(, &P-A(N-N 1OAWOD 1O 6-*D S(,' *,(*,(!*)* ,)(*,(!*)* 4"(" 4+(." 4+(+/ - - - - - - +./+ -*(.
( ,@ 30 P-*(S .*. S(, &P-A(N-N 1OAWOD 1O 6-*D S(,' )!(*,(!*)* *(*4(!*)* 4/(/. 4+(,, 4"(** - - - - - - +./ -*(.
( ,@ 28 *(,- -N*7 *O@- ).(*,(!*)* )4(*4(!*)* 4"(44 4(." 4/(/. - - - - - - +8.30 *("+
( ,@ 28 *(,- -N*7 *O@- )"(*,(!*)* )+(*4(!*)* 4"(" 4+(,, +!(44 - - - - - - +8.89 )(44
( ,@ 28 *(,- -N*7 *O@- )(*,(!*)* )/(*4(!*)* 4/(!! 4/(!! 4"(44 - - - - - - +.9 -*(4
( ,@ 2/ 6-*D S(, !+(*,(!*)* !!(*4(!*)* 44(44 4,(+/ 4+(." - - - - - - ++.59 -!("
( ,@ 2/ *(,- -N*7 *O@- )+(*4(!*)* ),(*+(!*)* 4/(/. 4,(+/ 4+(,, - - - - - - +5.9 -!(!
( ,@ 3+ P-*(S S(, &N!S?' ! (,?.( )"(*+(!*)* )+(*/(!*)* 4,(+/ 4)(." 4/(/. - - - - - - ++.00 -,(4
( ,@ 3 (NSON S(, !(*/(!*)* !.(*.(!*)* +*(!! +4(/. +*(/. - - - - - - 5.85 4(4
( O, 09 P-*(S P((P- P(N- EP- 2 &/ NOS' *(*.(!*)* */(*"(!*)* 4!(/. 4"(44 4/(/. - - - - - - +5.93 -)(+
( O, 0 .* S(, P-A(N-N 1OAWOD *(*.(!*)* */(*"(!*)* 4!(/. 4"(44 4/(/. - - - - - - +5.93 -)(+
( O, 0 *OSS 7-(6!(,?A-N , *(*.(!*)* */(*"(!*)* 4)(,, 4"(** 4*(" - - - - - - +3.+ -4(*
( O, ( S 1 *O?AN &+NOS'!(,?A-N ( !*(*"(!*)* ).(*(!*)* 44(44 44(** 4,()) +3.85 -,(+
( O, ( S 1 *O?AN &+NOS'!(,?A-N , *4(*(!*)* *!()*(!*)* 4,(." 4.()) 44(" +5.2 -!()
( O, , -N6 6(P7(GA 00AA G(P!(,?A-N 6 */(*(!*)* *4()*(!*)* +*(/. 4,(+/ 4,()) +5./8 -)(/( O, 3 6-*D S(, )/())(!*)* )4()!(!*)* 44(44 4,(+/ 4"(" 4/(/. +5.89 -)(+
( O, , * *OPNG &,(S- S(,'!(,?A-N * *!()!(!*)* ,*()!(!*)* 4.(+/ 4+(." 44(" +.08 -)(,
&28 6ay' B " C 28+.+
Calculation:
(. *?A?(@- ,. W--DES S(N6(6 6-@(ON
(. Aean ẍ C!"4/(/4
C +/.++/* n " &" ! F"' *Per Cube
) *(** *(**,. Aean ẍ C
*(**
(2. S.6e)ia$ion C,/+(.)
' 2 49
! *(** *(** ,
+ , *(** *(** C 0.00
(.3 *alcula$ed *urren$ AarginCurrent 6argin ' ,2. S.6e)ia$ion C *(**
' +.08 !
'
G+0 Normal ! 28 6ay *oncre$e*ube e$ ecord
";
"2;
"3;
ẍ+
- Characteristic Strength0 f 12 *(+ 3 current margin
% k
% k 5mm!
6a$e*a$ed
6a$ee$ing
eading &N<mm2'
$ 2nd 3rd +$= 5$= $= /$= 8$= 9$=
$ S(G- *ONS?*ON ! (bu$men$ (
$ 1 *O?AN &+ No' ! (bu$men$ (
$ S(G- *(S! *OSS7-(6 ! P-
$ S(G- *(S ! (bu$men$ ,
$ S(G- *(S ! (bu$men$ (
$ 1 *O?AN &+ No' ! (bu$men$ ,
B&" ! 'ẍ 2
5mm!
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5mm!
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7/23/2019 Calculation Standard Deviation for Concrete
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Hanuary200 0.00
1ebruary2009 2.3/
Aarc=200 ./0
(pril200 .8
0.00 *(**
ange " y
,"-, ,"(+ *
,-4* ,(+ *
4*-4) 4*(+ )
4)-4! 4)(+ 4
4!-4, 4!(+ 4
4,-44 4,(+ )4
44-4+ 44(+ )/
4+-4/ 4+(+ !)
4/-4. 4/(+ !4
4.-4" 4.(+ )4
4"-4 4"(+ !"
4-+* 4(+ )*
+*-+) +*(+ ),
+)-+! +)(+ .
+!-+, +!(+
+,-+4 +,(+ 4
+4-++ +4(+ 4
++-+/ ++(+ !
+/-+. +/(+ )
+.-+" +.(+ *
+"-+ +"(+ *
+-/* +(+ *
/*-/) /*(+ *
/)-/! /)(+ *
/!-/, /!(+ *
o$al /
3 8 - 3 9
3 9 - 4 0
4 0 - 4 1
4 1 - 4 2
4 2 - 4 3
4 3 - 4 4
4 4 - 4 5
4 5 - 4 6
4 6 - 4 7
4 7 - 4 8
4 8 - 4 9
4 9 - 5 0
5 0 - 5 1
5 1 - 5 2
5 2 - 5 3
5 3 - 5 4
5 4 - 5 5
5 5 - 5 6
5 6 - 5 7
5 7 - 5 8
5 8 - 5 9
5 9 - 6 0
6 0 - 6 1
6 1 - 6 2
6 2 - 6 3
0
5
10
15
20
25
30
0 0
1
4 4
14
16
21
24
14
28
10
13
7
9
4 4
21
0 0 0 0 0 0
FrequencyGemencheh Granite G40 Normal Cube Crushing Test
7/23/2019 Calculation Standard Deviation for Concrete
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. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .40.00
45.00
50.00
55.00
60.00
65.00
%0.00
4+(**
4-(*4
4/(+-
4"(")4-(!/
+)(*4
4"(")
4.(.4
+*(/.
4"(")
4+(4"4/(,.4/(!!
44("-
4/(+!
4,("+
4"(,*
+,(4"
4.(.*
4+(!/
4"(,.
+!(-/
4-(,,
+!(+-
4-(!/
4/(")4/(!!
4"(**
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+*(*.
4+(*4
4"(4+
4/(")
+!(**
4/("!4/(*.
44(4+
4.("+
4,(!/
4/(!!4/(")
4.(.*4/(.44/(/.
4"(,*4"("-
4/(-/
44(+-4+()-
44(**
+)("+
4+(-,4+(-,
4,(4)4,("+
4+(!/4+(."4+("-4/(*"
Cummulatie Concrete !tength
Target Mean Strength
, a $ c = N u m b e r
C
o m " r e s s i e ! t r e n g t h #
N $ m m 2
7/23/2019 Calculation Standard Deviation for Concrete
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Package : SGEDT - P4
Period :
Supplier : Gemencheh Granite
Grade : G +0 remie2
Symbol:!
: - Compressive Strength of Cubes In a Batch
" : - Average Compressive Strength of A Cubes in a Batch at !" Da#s
ẍ : - Average Compressive Strength of A Batches During the Perio$ %n$er Consi$eration
: - Average of &our Consecutive Batches
# :: - Characteristic Strength
' +0
n.Par$ o% S$ruc$ure
&" ! 'ẍ #S$uc. (bu$ Pile e%. ()g &"'
( ,@2/ PP! *"(*(!**" */()*(!**" +!(** 4.()) +)(+/ - - - 50.22 -*(!. *(*. - 4,(!! - )/(!! 0
( ,@2/ P2<3 )*(*(!**" *"()*(!**" 4(,, 4/(/. 4,(." - - - +.59 -,(* )+(!! - 4,(!! - )!(+ 02
( ,@2/ P2< ))(*(!**" *()*(!**" 4.(,, 4/(// 4"(** - - - +/.33 -,()/ )*(*) - 4,(!! - ),(,, 03
( ,@2/ P2<5 )!(*(!**" )*()*(!**" 4"("" +!("" +!("" - - - 5.55 )(*+ )()) /(/* 4,(!! -,/(/! ).(++ 0+
( ,@2/ P2<2 )!(*(!**" )*()*(!**" +.(,, +/(** ++(++ - - - 5.29 +("* ,,(/, )4( 4,(!! -!"(!, !!(! 05
( ,@2/ P2<+ ),(*(!**" ))()*(!**" +.(.. +)(.. ++()) - - - 5+.88 4(, )(!. )/(** 4,(!! -!.(!! !*("" 0
( ,@2/ P2< ).(*(!**" )+()*(!**" +!(// +*("" ++()) - - - 52.88 !(, +(.) )4(, 4,(!! -!"(,* )"("" 0/
( ,@2/ P2<9 )"(*(!**" )/()*(!**" 44(44 +,(,, +!(" - - - 50.22 -*(!. *(*" )4(/. 4,(!! -!"(++ )/(!! 08
( ,@2/ P2</ )"(*(!**" )/()*(!**" +)(+/ 4(." +!(" - - - 5.+ *(! *("4 /(4. 4,(!! -,/(.+ ).(4) 09
( ,@2/ P2<8 )(*(!**" ).()*(!**" +"(!! +.(,, /*(*. - - - 58.5+ "(*+ /4(.4 ).("4 4,(!! -!+(," !4(+4 0
( ,@2/ P2<0 )(*(!**" ).()*(!**" +!(44 +/(44 +,(." - - - 5+.22 ,(., ),("" )("" 4,(!! -!,(,4 !*(!!
( ,@2 P2<2 !/(*(!**" !+()*(!**" /!(** /!(/. +(,, - - - .33 )*("4 )).(4 4(!4 4,(!! /(*) !.(,, 2
( ,@2 P2<3 *()*(!**" */())(!**" 4+(++ 4"(** 4,(++ - - - +5./0 -4(. !!(" +4(.. 4,(!! ))(++ ))(.* 0
( ,@2 P2< )*()*(!**" *.())(!**" +4(44 +"(// +/(** - - - 5.3/ +(". ,4(4 4.(!) 4,(!! ,( !!(,. 02
( ,@2 P2<+ ))()*(!**" *"())(!**" 4"(44 4"(// 4!(** - - - +.3/ -4(), ).(*, 4"(** 4,(!! 4(.. )!(,. 03
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( ,@3+ , P2a<2 !,())(!** !)()!(!** +*(/. 44(" 4/(44 - - - +/.33 -,()/ ( +(!4 4,(!! -,.( ),(,, 3
7/23/2019 Calculation Standard Deviation for Concrete
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( ,@3+ ( P2a<0 !4())(!** !!()!(!** 4"(" 4.(+/ +!(** - - - +9.+8 -)(*) )(*! !("* 4,(!! -4*(4, )+(4" +
( ,@3+ , P2a<23 !+())(!** !,()!(!** 4.(+/ 4!(!! +*(/. - - - +.82 -,(/" ),(+! /(), 4,(!! -,.(* )!("! 5
( ,@3+ , P2a<2/ !/())(!** !4()!(!** +4(/. +,(,, +/(" - - - 5+.9 4(4. )(. "(/, 4,(!! -,4(+ !*(/
( ,@3+ ( P2a< !/())(!** !4()!(!** ++(+/ ++()) 4(,, - - - 53.33 !("4 "(*/ )*(, 4,(!! -,!(", )(,, /
( ,@3+ , P2a< *)()!(!** !()!(!** 4+(+/ 4!(!! +!(44 - - - +./+ -,(.+ )4(* )*(+, 4,(!! -,!(/ )!(.4 8
( ,@3+ , P2a<9 *!()!(!** ,*()!(!** 4+(,, 4,()) +!(/. - - - +/.0+ -,(4/ ))(+ "(+, 4,(!! -,4(.* ),(*4 9
( ,@3+ ( P2a<9 *4()!(!** *)(*)(!*)* ++()) 4(,, 4"(** - - - 50.8 *(,! *()* /(+4 4,(!! -,/(/ )/(") 0
( ,@3+ , P2b< *4()!(!** *)(*)(!*)* 4/(" 4!(/. 44(44 - - - ++./ -+(", ,,(/ ))(+* 4,(!! -,)(.! )*(/. 02
( ,@3+ , P2b< *+()!(!** *!(*)(!*)* 4(,, 4"(** 4,()) - - - +.8 -,(/" ),(++ ))(* 4,(!! -,)(,! )!(") 03
( ,@3+ , P2a</ )*()!(!** *.(*)(!*)* 44(" 4,()) ++(++ - - - +/.85 -!(/4 /( ),(/! 4,(!! -!(/* ),("+ 0+
( ,@3+ , P2a<25 )!()!(!** *(*)(!*)* 4)(,, +!(** 4)(,, - - - ++.89 -+(/) ,)(44 ),(** 4,(!! -,*(!, )*(" 05
( ,@3+ , P2a<2+ )+()!(!** )!(*)(!*)* +4(/. +/(** +!(" - - - 5+.52 4(*, )/(!) ),(// 4,(!! -!(+/ !*(+! 0
( ,@3+ ( P2a<2 )()!(!** )/(*)(!*)* +)(+/ 44(44 44(" - - - +.9 -,(+, )!(4. )+(*, 4,(!! -!"(!* )!(/ 0/
( O, 0, ( P<+ *"(*)(!*)* *+(*!(!*)* +,(,, 4+(,, +4(!! - - - 50.9 *(4. *(!! .(!! 4,(!! -,/(** )/(/ 0
( O, 0, ( P<2 ))(*)(!*)* *"(*!(!*)* 4+(,, +*(!! 4(,, - - - +8.29 -!(!* 4("4 4(," 4,(!! -,"("4 )4(! 02
( O, 0, ( P< ),(*)(!*)* )*(*!(!*)* +)()) +!(** 4.()) - - - 50.0/ -*(4! *()" )(,) 4,(!! -4)() )/(*. 03
( ,@3+ , P2c<9 ),(*)(!*)* )*(*!(!*)* +4(/. +!(!! 4(." - - - 52.22 )(., !( !(** 4,(!! -4)(!! )"(!! 05
( O, 0, ( P<3 )/(*)(!*)* ),(*!(!*)* 44(** 44(44 4+(." - - - ++./+ -+(.+ ,,()) (*. 4,(!! -,4()/ )*(.4 0+
( ,@3+ , P2c</ )/(*)(!*)* ),(*!(!*)* 4+(." 4,()) 4)(." - - - +3.5 -/(4 4"(), !)(*/ 4,(!! -!!(). (+/ 0
( ,@3+ , P2c<2 )"(*)(!*)* )+(*!(!*)* 4+(." 4!(!! 4/(!! - - - ++./+ -+(.+ ,,()) !"(+ 4,(!! -)4(/4 )*(.4 0/
( ,@3+ , P2c<8 !)(*)(!*)* )"(*!(!*)* 4!(/. 44(44 4*(** - - - +2.3/ -"()! //(** ,/(") 4,(!! -/(4! "(,. 08
( ,@3+ , P2c<+ !,(*)(!*)* !*(*!(!*)* 44(44 4"(** 4.()) - - - +.52 -,(" )+("! !"(., 4,(!! -)4(4 )!(+! 09
( ,@3+ , P2c<3 !+(*)(!*)* !!(*!(!*)* 4+(,, 4"(" 4/(!! - - - +.8 -,(/" ),(++ !,("4 4,(!! -)(," )!(") 0
( ,@3+ , P2c<5 !/(*)(!*)* !,(*!(!*)* 4/(!! 4!(/. 44(** - - - ++.30 -/(!* ,"(4) )/(4 4,(!! -!/(!" )*(,* ( ,@3+ , P2c<20 !"(*)(!*)* !+(*!(!*)* 4/(/. 4+(,, 44(44 - - - +5.+8 -+(*) !+()4 )(!. 4,(!! -!,(+ ))(4" 2
( ,@3+ P- 2 Pc< !4(*!(!*)* !4(*,(!*)* +!(" +*(!! +!(** - - - 5./0 )(!) )(4/ )/(!+ 4,(!! -!/(. ).(.* 0
( ,@3+ P- 2 Pc<9 !+(*!(!*)* !+(*,(!*)* 4"(** +,(,, +!(** - - - 5. *(/! *(," /(.+ 4,(!! -,/(4" ).()) 02
( ,@3+ P- Pc<2 *,(*,(!*)* ,)(*,(!*)* 4/(44 4+(." +*(/. - - - +/.3 -!("/ "(!* !(+) 4,(!! -4*(.) ),(/, 03
( ,@3+ P- Pc<5 *4(*,(!*)* *)(*4(!*)* 4"(44 +)(." ++()) - - - 5./8 )(!" )(/+ !(+/ 4,(!! -4*(/. ).(." 0
( ,@3+ P- Pc<3 *+(*,(!*)* *!(*4(!*)* +,(,, +!(44 4"(/. - - - 5.+8 *( *(. !(.* 4,(!! -4*(+! ).(4" 02
( ,@3+ P- Pc< *"(*,(!*)* *+(*4(!*)* +!(** +4(!! +.(." - - - 5+./ 4(). ).(4) +(*) 4,(!! -,"(!! !*(/. 03
( ,@3+ ( P2c<5 *(*,(!*)* */(*4(!*)* +,(,, +/(** +!(** - - - 53./8 ,(!" )*(." .(! 4,(!! -,+(, )(." 0+
( ,@3+ ( P2c<8 )*(*,(!*)* *.(*4(!*)* +/(" 4"(" 4(." - - - 5.85 )(,/ )("+ .(+) 4,(!! -,+(.! ).("+ 05
( ,@3+ ( P2c<0 ))(*,(!*)* *"(*4(!*)* 4(,, 4/(!! +)(+/ - - - +9.0+ -)(4/ !()! ,(/ 4,(!! -,(+4 )+(*4 0
( ,@3+ ( P2c< ),(*,(!*)* )*(*4(!*)* +/(44 4"(44 4.()) - - - 50. *(). *(*, )(** 4,(!! -4!(!! )/(// 0/
( ,@3+ ( P2c<+ )+(*,(!*)* )!(*4(!*)* 4"(** 4.()) 4"(" - - - +8.00 -!(4 /(!! !(* 4,(!! -4)(), )4(** 08
( ,@3+ ( P2c</ )/(*,(!*)* ),(*4(!*)* 4,(+/ 44(44 4"(** - - - +5.33 -+()/ !/(/, "(!! 4,(!! -,+(** ))(,, 09
( ,@3+ ( P2c<3 ).(*,(!*)* )4(*4(!*)* 4.()) +*(!! +)(+/ - - - +9.3 -*("/ *(.+ "(4* 4,(!! -,4("! )+(/, 0
( ,@3+ ( P2c<9 )"(*,(!*)* )+(*4(!*)* 4"(** 4/(/. 4+(." - - - +.82 -,(/" ),(+! )*(!, 4,(!! -,,(** )!("!
( ,@3+ ( P2c<2 !*(*,(!*)* ).(*4(!*)* +)()) +!(44 +!(44 - - - 52.00 )(+* !(!/ 4(), 4,(!! -,(* )"(** 2
( ,@3+ ( P2b<0 !4(*,(!*)* !)(*4(!*)* 4(,, 4/(/. 4.(+/ - - - +/.85 -!(/4 /(. +("" 4,(!! -,.(,+ ),("+ 3
( ,@3+ P- 2 Pb<5 *,()!(!*)* ,)()!(!*)* 4/(/. 4(,, 4/(/. - - - +/.5 -!(4 "(/, "(*, 4,(!! -,+() ),(+/ 0
( ,@3+ P- 2 Pb</ *4()!(!*)* *,(*)(!*)) 4+(." 4.()) 4!(/. - - - +5.9 -+(,) !"(). )+(*. 4,(!! -!"()+ ))() 0
( ,@3+ , P2c< ))()!(!*)* *"(*)(!*)) 4.(+/ 4/(!! 4"(44 +/.+ -,(* (+, ).(!. 4,(!! -!+(+ ),(4) 02
&28 6ay' B " C 0098.80
Calculation: 30/.58
(. *?A?(@- ,. W--DES S(N6(6 6-@(ON
(. Aean ẍ C
)**"("*
C 50.+9!** n " &" ! F"' *Per Cube
) 4+(." -*(+! *(!.,. Aean ẍ C
2//./8
(2. S.6e)ia$ion C,*./(+"
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4 4.(+/ )(!/ )(/*
(.3 *alcula$ed *urren$ Aargin + 4/(!! -*(*" *(*)
Current 6argin ' / 4"(44 !()4 4(+ ,2. S.6e)ia$ion C 20.28
' .+5 +
' 2 01
(+. arge$ Aean S$reng$=
Current 6argin ' .+5
7 ' Characteristic Strength f1 2 *(+ 3 Current 6argin
7 ' 4* 2 /(4+ 3 *(+' +3.22+
Note:
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2//./8 20.28
B&" ! 'ẍ 2 C
5mm!
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N/mm2
5mm!
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5mm!
5mm!
5mm!
5mm!
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7/23/2019 Calculation Standard Deviation for Concrete
http://slidepdf.com/reader/full/calculation-standard-deviation-for-concrete 15/15
*. AON7ES S(N6(6 6-@(ON &?p $o 6a$e' 0!6ec!5 6. AON7ES S(N6(6 6-@(ON &Summary'
n " &" ! F"' Aon$= Aon$ly S6 Aon$= Aon$ly S6
) +5.9 -)()) )(!,*. Aean ẍ C
92.0 Oc$ober2008 +.3 1ebruary200 3.
! +/.+ )()) )(!, ! No)ember2008 +.3+ Aarc=200 2.20
C +.30 6ecember2008 3.0/ (pril200 2./+
Hanuary2009 2.58 Aay200 0.00
1ebruary2009 2.5+ Hune200 0.00
*2. S.6e)ia$ion C 2.+ Aarc=2009 3. Huly200 0.00
) (pril2009 3.2 (ugu$200 0.00
' 1 57
Aay2009 3.58 Sep$ember200 0.00
Hune2009 0.00 Oc$ober200 0.00
Huly2009 0.00 No)ember200 0.00
(ugu$2009 2.5+ 6ecember200 0.00
Sep$ember2009 2./ Hanuary20 0 00
Oc$ober2009 2./8
No)ember2009 2.+5
6ecember2009 3./3
Hanuary200 3.50
92.0 2.+
ange " y
,"-, ,"(+ *
,-4* ,(+ *
4*-4) 4*(+
4)-4! 4)(+ .
4!-4, 4!(+ )+
4,-44 4,(+ !*
44-4+ 44(+ ,*
4+-4/ 4+(+ !/
4/-4. 4/(+ 4,
4.-4" 4.(+ ,+
4"-4 4"(+ //
4-+* 4(+ ,,
+*-+) +*(+ ,/
+)-+! +)(+ 4!
+!-+, +!(+ +
+,-+4 +,(+ ,+
+4-++ +4(+ !
++-+/ ++(+ ,)
+/-+. +/(+ ,)
+.-+" +.(+ !*
+"-+ +"(+ )*
+-/* +(+ "/*-/) /*(+ +
/)-/! /)(+ +
/!-/, /!(+ 4
/,-/4 /,(+ )
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&" ! F"'2
5mm!
5mm!
40.00
45.00
50.00
55.00
60.00
65.00
%0.00
50$22
46$5947$33
51$55
56$29
54$88
52$88
50$22
51$41
58$54
54$22
61$33
45$70
56$37
46$3746$5245$99
50$44
55$11
52$37
54$74
57$72
54$73
47$55
52$3752$89
56$44
54$07
51$92
53$93
49$70
55$6355$33
52$67
56$60
48$37
54$5255$04
51$9351$33
53$70
47$26
49$26
51$85
50$4549$70
46$3746$3745$70
47$2647$56
50$22
55$70
53$63
48$89
46$29
54$8155$3354$1555$4054$89
56$15
53$41
56$59
51$34
54$52
53$04
56$0056$5256$00
48$66
54$89
53$19
50$30
52$44
49$5548$5949$26
52$89
56$00
46$44
50$74
46$82
53$85
50$81
52$8951$92
50$67
43$8544$22
46$67
45$19
52$44
50$97
47$1846$3746$08
47$1948$22
46$44
44$00
49$8549$19
47$33
43$9244$1543$55
45$4845$56
47$11
45$6344$59
46$2245$9345$11
50$9649$7849$6350$66
51$56
49$19
44$74
47$85
49$5648$8250$2250$2250$0750$5250$81
52$30
55$48
53$1153$41
46$00
56$2255$85
57$63
59$26
57$33
54$9654$52
51$1151$6351$8551$48
49$04
47$41
49$33
57$93
52$7453$78
59$70
53$78
50$07
47$33
49$48
46$82
54$96
53$33
46$7447$04
50$81
44$67
46$8147$85
44$89
54$5
46$
50$
4
5
Cummulatie Concrete !tength
Target Mean Strength
C o m " r e s s i e ! t r e n
g t h #
N $ m m 2
38-3939-4040-4141-4242-4343-4444-4545-4646-4747-4848-4949-5050-5151-5252-5353-5454-5555-5656-5757-5858-5959-6060-6161-6262-6363-64
0
10
20
30
40
50
60
70
0 0
97
15
20
30
26
43
35
66
33
36
42
59
35
2931 31
20
108
5 54
1
FrequencyGemencheh Granite G40 T2 Cube Crushing Test