Planilha de dosagem.xlsx

(1)

LEI DE ABRAMS LEI DE ABRAMS

Ajuste :

Ajuste : log a + b. log X =log Ylog a + b. log X =log Y ou ou y = a.x^by = a.x^b M MaattrriizzAA MMaattrriizzYY 11..0000 11..8822 --00..4422 11..0000 11..22 --00..22 11..0000 11..44 --00..11!! 11..0000 11..0000 11..0000 11..8822 11..22 11..44 ""..0000 44..##11 44..##11 88..0088 -0.8$ -0.8$ -1.4" -1.4" %iste&a A' X = Y' %iste&a A' X = Y' " 4 " 4..##00$$11##1122 --00..8844!!""44 44..##00$$11##1122 88..0088442288"" --11..44""11

%olu()o siste&a 2 x 2 *or auss %olu()o siste&a 2 x 2 *or auss

1 1 1 1..""$$00""!! --00..22882244$$ 44..##00$$11##1122 88..0088442288"" --11..44""11 1 1 1 1..""$$00""!! --00..22882244$$ 00 00..00""##88 --00..0044$$$$"" 1 1 1 1..""$$00""!! --00..22882244$$ 00 11 --00..!!1111"" 1 1 1 1..""$$00""!! --00..22882244$$ 00 11 --00..!!1111"" 1 1 1 1..""$$00""!! --00..22882244$$ 00 11 --00..!!1111"" , = loga , = loga , , == 00..8888111100!!44 a a == !!..00$$1144"" b = b = --00..!1!11122!! Matriz A Matriz A// Matriz Matriz A' = A' = AA//_{x A}_{x A} Matriz Matriz Y' = Y' = AA//_{x Y}_{x Y}

(2)

Ajuste :

Ajuste : log a + b. log X =log Ylog a + b. log X =log Y ou ou y = a.x^by = a.x^b ,= ,= 4040 a, = a, = 0.5508560.550856 LEI DE LYSE LEI DE LYSE

Ajuste e u&a reta :

Ajuste e u&a reta : a + b.X = Ya + b.X = Y M Maattrriiz z AA MMaattrriiz z YY 11 00..""88 ""..$$ 11 00..$$$$ $$ 11 00..88 ..$$ 11 11 11 00..""88 00..$$$$ 00..88 "" 11..11 11..11 00..##00##"" 1$ 1$ 8.$ 8.$ %iste&a A' X = Y' %iste&a A' X = Y' "" 11..11 11$$ 11..11 00..##00##"" 88..$$ %olu()o siste&a 2 x 2 *or auss %olu()o siste&a 2 x 2 *or auss

11 00..$$""!! $$ 00..$$""!! 00..""00""11 22..88"""""""""""""""""" 11 00..$$""!! $$ 00 0.0.020281811$1$## 0.0.2!2!#$#$0"0"1010$$ a = a = --00..""""$$0$0$22 b = b = #.#.#4#410108#8#88 Ajuste e u&a reta :

Ajuste e u&a reta : a + b.X = Ya + b.X = Y

aa//c c == 00..55000000

--00..""""$$00$$22 ++ ##..##44110088##88""8 . 8 . X X = = YY m m == 44..66335555

LEI DE MOLINARI LEI DE MOLINARI

Ajuste :

Ajuste : log a + b. log X =log Ylog a + b. log X =log Y ou ou y = a.x^by = a.x^b M MaattrriizzAA MMaattrriizzYY 11..0000 00..$$44 22..## 11..0000 00..!!00 22..$$$$ 11..0000 00..8811 22..44$$ Matriz A Matriz A// Matriz Matriz A' = A' = AA//_{x A}_{x A} Matriz Matriz Y' = Y' = AA//_{x Y}_{x Y}

(3)

11..0000 11..0000 11..0000 00..$$44 00..!!00 00..8811 ""..0000 22..00 22..00 11..44$$ !.# !.# $.24 $.24 %iste&a A' X = Y' %iste&a A' X = Y' " 2 " 2..00$$$$##$$1144 00 !!..880044 22..00$$$$##$$1144 11..4444$$""##!!22 00 $$..22""$$""00$$ 00 00 00 00

%olu()o siste&a " x " *or auss %olu()o siste&a " x " *or auss

1 0 1 0..88$$""11!!11 00 22..$$220011$$ 22..00$$$$##$$1144 11..4444$$""##!!22 00 $$..22""$$""00$$ 00 00 00 00 1 0 1 0..88$$""11!!11 00 22..$$220011$$ 0 0 0 0..00""441188$$ 00 --00..00""2200!! 00 00 00 00 1 0 1 0..88$$""11!!11 00 22..$$220011$$ 00 11 00 --00..888800!! 00 00 00 00 1 0 1 0..88$$""11!!11 00 22..$$220011$$ 00 11 00 --00..888800!! 00 00 00 00 1 0 1 0..88$$""11!!11 00 22..$$220011$$ 00 11 00 --00..888800!! , = loga , = loga , , == ""..11$$$$!!44 a a == 114444..111111 b b == --00..888800!! Ajuste :

Ajuste : log a + b. log X =log Ylog a + b. log X =log Y ou ou y = a.x^by = a.x^b & = & = 4.63549344.6354934 3 = 3 = 379.26556379.26556 Matriz A Matriz A// Matriz Matriz A' = A' = AA//_{x A}_{x A} Matriz Matriz Y' = Y' = AA//_{x Y}_{x Y}

(4)

TRAÇOS DOS CONCRETOS ROD!"IDOS

##$$aa%%& & $$''cc&& ##$$aa%%& & mm(())''&& ##$$aa%%& & **&&++$$,, ,-a'&,-a'&

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m mm mm

D

DIIAASS aa$$aamm.. 33..55 55 66..55

11..22##$$ 22..0000 22..8822$$ aa 51 51 22..2200$$ 22..##4400 ""..!!$$ ** a, a, 00..3388 00..5555 00..6688 ),-')a), = ),-')a), = 22..336644 22..333399 22..229955 glgl C = C = 448844 ""$$!! 228811 gg&&"" 6 666 4422 2299 M5aM5a DIARAMA DE DOSAEM  DIARAMA DE DOSAEM  c = c = 00..22$$ 00..""$$ 00..44$$ 00..$$$$ 00..$$ 10 10 20 20 "0 "0 40 40 $0 $0 0 0 !0 !0 c Ma c Ma 2$0 2$0 "00 "00 "$0 "$0 400 400 4$0 4$0 $00 $00 $$0 $$0 "" 44 $$  C&-m& ), c'm,-#& /m3 C&-m& ), c'm,-#& /m3 Da)& Da)& c=

c= 4040 MaMa  ( : ,-#$a$ c&m & c ;, & $,#& ( ca<c<a)& ( : ,-#$a$ c&m & c ;, & $,#& ( ca<c<a)&

aa//c c == 00..5500 aa//c c mm>>. . NNBBRR66111188== 00..55   cc&&<<&&ccaa$ $ <<''mm''##, , ))a a NNBBRR??66111188

m m == 44..6644 C C == 00..33779 9 ##&&- -1.874 1.874 * *== 22..776611 C#&

C#& E-#$a$ c&m & c#& )& ma#,$'a'@ M! ,  ;, & c#& *&$ m3 ), c&-c$,#& ( ca<c<a)&E-#$a$ c&m & c#& )& ma#,$'a'@ M! ,  ;, & c#& *&$ m3 ), c&-c$,#& ( ca<c<a)&

3i&e6to 7

3i&e6to 7 330.00330.00 to6elaato6elaa 9rita: 7

9rita: 7 42.0042.00 &&"" MM== 1.551.55 ;< =;< = 1.91.9

Areia:

Areia: 77 55.0055.00 &&"" MM== 1.481.48 ;< =;< = 2.72.7

C'm,-#&  C'm,-#&  3 = 3 = 0.3790.379 to6to6 R R 125125.16.16 B$'#a B$'#a 3

3oo66ssuu&&o o ssee,,a a == 11..0044!! ttoo66

T$a%& T$a%&a=a=

(5)

Da)& Da)&

c=

c= 4040 MaMa  ( : ,-#$a$ c&m & c ;, & $,#& ( ca<c<a)& ( : ,-#$a$ c&m & c ;, & $,#& ( ca<c<a)&

aa//c c == 00..5500 aa//c c mm>>. . NNBBRR66111188== 00..55   cc&&<<&&ccaa$ $ <<''mm''##, , ))a a NNBBRR??66111188

m m == 44..6644 C C == 00..33779 9 ##&&- -1.874 1.874 * *== 22..776611 C#&

C#& E-#$a$ c&m & c#& )& ma#,$'a'@ M! ,  ;, & c#& *&$ m3 ), c&-c$,#& ( ca<c<a)&E-#$a$ c&m & c#& )& ma#,$'a'@ M! ,  ;, & c#& *&$ m3 ), c&-c$,#& ( ca<c<a)&

3i&e6to 7

3i&e6to 7 330.00330.00 to6elaato6elaa 9rita: 7

9rita: 7 42.0042.00 &&"" MM== 1.551.55 ;< =;< = 1.91.9

Areia:

Areia: 77 55.0055.00 &&"" MM== 1.481.48 ;< =;< = 2.72.7

C'm,-#&  C'm,-#&  3 = 3 = 0.3790.379 to6to6 R R 125125.16.16 B$'#a B$'#a 3

3oo66ssuu&&o o ssee,,a a == 11..0044!! ttoo66 3

3oo66ssuu&&o o uu&&iia a == 11..00!! ttoo66 gguua  a 66a a bbrriitta a == 11##..# # lliittrrooss 3

3oo66ssuu&&o o >>oolluu&&e e == 00..88## &&"" R

R 2288..9922 A$,'a

A$,'a 3

3oo66ssuu&&o o ssee,,a a == 00..!!1111 ttoo66 3

3oo66ssuu&&o o uu&&iia a == 00..!!""00 ttoo66 gguua  a 66a a aarreeiia a == 11##..2 2 lliittrrooss 3

3oo66ssuu&&o o >>oolluu&&e e == 00..44##"" &&"" R R 2277..1133 a a / /oottaal l == 1188##..  lliittrrooss T$a%& T$a%&a=a= !! ??@@uuiiaa== 11$$00..$ l$ liittrrooss

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(6)

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(7)

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(8)

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