Planilha de dosagem.xlsx

LEI DE ABRAMS  Ajuste : log a + b. log X =log Y Matriz A 1.00 1.00 1.00

1 .8 2 1 . 2 1 .4 

Matriz A/ 1.00 1.82

1 .0 0 1 . 2

ou y = a.x^b Matriz Y -0.42 -0.2 -0.1!

1.00 1.4

Matriz A' = A/ x A ".00 4 .# 1 4.#1 8 .0 8

Matriz Y' = A/ x Y -0.8$ -1.4" %iste&a A' X = Y' " 4. 4.#0$1#12 4.#0$1#12 8.08428"

-0.84!"4 -1.4"1

%olu()o siste&a 2 x 2 *or auss 1 1. 1."$0"! 4.#0$1#12 8.08428"

-0.2824$ -1.4"1

1 1. 1."$0"! 0 0.0"#8

-0.2824$ -0.04$$"

1 1. 1."$0"! 0 1

-0.2824$ -0.!11"

1 1. 1."$0"! 0 1

-0.2824$ -0.!11"

1 1. 1."$0"! 0 1

-0.2824$ -0.!11"

, = loga , = 0.88110!4 b = -0.!11 !112 2!

a = !.0$14"

 Ajuste : log a + b. log X =log Y

ou y = a.x^b

,= 40 a, = 0.550856

LEI DE LYSE  Ajuste e u&a reta : a + b.X = Y Matriz A 1 1 1

0."8 0.$$ 0.8

1 0."8

1 0 .$ $

Matriz Y ".$ $ .$

Matriz A/ 1 0.8

Matriz A' = A/ x A " 1.1 1.1 0.#0#" Matriz Y' = A/ x Y 1$ 8.$ %iste&a A' X = Y' " 1.1 1.1 0.#0#"

1$ 8.$

%olu()o siste&a 2 x 2 *or auss 1 0.$"! $ 0.$"! 0."0"1 2.8""""""""" 1 0.$"! $ 0 0.02 0.0281 811$ 1$# # 0.2! 0.2!#$ #$0" 0"10 10$ $ a = -0.""$ ""$0$2 0$2 b = #.#4 #.#410 108# 8#8 8  Ajuste e u&a reta : a + b.X = Y -0.""$0$2

+

#.#4108#8"8 . X = Y

LEI DE MOLINARI  Ajuste : log a + b. log X =log Y Matriz A 1.00 1.00 1.00

a /c = m=

0 .$ 4 0 .! 0 0 .8 1

ou y = a.x^b Matriz Y 2.# 2.$$ 2.4$

0.5000 4.6355

Matriz A/ 1.00 0.$4

1 .0 0 0 .! 0

1.00 0.81

Matriz A' = A/ x A ".00 2 .0  2.0 1 .4 $

Matriz Y' = A/ x Y !.# $.24 %iste&a A' X = Y' " 2. 2 .0$$#$14 2.0$$#$14 1.44$"#!2 0 0

0 !.804 0 $.2"$"0$ 0 0

%olu()o siste&a " x " *or auss 1 0. 0 .8$"1!1 2.0$$#$14 1.44$"#!2 0 0

0 2.$201$ 0 $.2"$"0$ 0 0

1 0. 0 .8$"1!1 0 0. 0 .0"418$ 0 0

0 2.$201$ 0 -0.0"20! 0 0

1 0. 0 .8$"1!1 0 1 0 0

0 2.$201$ 0 -0.880! 0 0

1 0. 0 .8$"1!1 0 1 0 0

0 2.$201$ 0 -0.880! 0 0

1 0. 0 .8$"1!1 0 1

0 2.$201$ 0 -0.880!

, = loga , = ".1$$!4 b= -0.880!

a = 144.111

 Ajuste : log a + b. log X =log Y & = 4.6354934 3 = 379.26556

ou y = a.x^b

TRAÇOS DOS CONCRETOS ROD!"IDOS DIAS

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