The document provides information to determine the formula by weight for an asphaltic concrete mix that meets specification IV-c of the American Institute of Asphalt. It includes the gradation curves of two aggregates - crushed stone and coarse sand. It then determines the percentages of each aggregate needed to meet the specification and discusses the potential addition of filler to improve mechanical properties. Finally, it examines how the aggregates would need to be modified to meet two Peruvian specifications, MAC-1 and MAC-2.

1. 01.- Determinar en peso la fórmula de diseño para una mezcla asfáltica en caliente forjada en
planta, que cumpla con la especificación IV-c del Instituto norteamericano del Asfalto, si se
cuenta con dos agregados, piedra chancada y arena gruesa con las granulometrías indicadas.
ARENA GRUESA
MALLA Peso
3/8"
# 4 29.59
# 8 49.53
# 10 26.47
# 16 69.24
# 20 31.56
# 30 37.22
# 40 42.42
# 50 53.87
# 60
# 80 84.04
# 100 24.62
# 200 63.93
Fondo 26.82
IV-c
MALLA Li Ls
2" 100 100
1" 100 100
3/4" 80 100
1/2"
3/8" 60 80
# 4 48 65
# 8 35 50
# 10
# 30 19 30
# 40
# 50 13 23
# 80
# 100 7 15
# 200 0 8
PIEDRA CHANCADA
MALLA Peso
1"
3/4" 112.51
1/2" 175.73
3/8" 51.72
# 4 120.76
# 8 71.76
# 10 37.77

2. PIEDRA CHANCADA
MALLA Peso %Ret % Pas Ac
1" 0 100
3/4" 112.5 19.7 80.3
1/2" 175.7 30.8 49.5
3/8" 51.7 9.1 40.4
# 4 120.8 21.2 19.2
# 8 71.8 12.6 6.6
# 10 37.8 6.6 0.0
ARENA GRUESA
MALLA Peso %Ret % Pas Ac
3/8" 0 100
# 4 29.6 5.5 94.5
# 8 49.5 9.2 85.3
# 10 26.5 4.9 80.4
# 16 69.2 12.8 67.6
# 20 31.6 5.9 61.7
# 30 37.2 6.9 54.8
# 40 42.4 7.9 47.0
# 50 53.9 10.0 37.0
# 60 37.0
# 80 84.0 15.6 21.4
# 100 24.6 4.6 16.8
# 200 63.9 11.9 5.0
Fondo 26.8 5.0 0.0

3. 52% Piedra Chancada + 48% Arena Gruesa
MALLA % Pas Ac MEZCLA
P. CHANC ARENA G.
2" 100.0 100.0 100.0
1" 100.0 100.0 100.0
3/4" 80.3 100.0 89.8
3/8" 40.4 100.0 69.1
# 4 19.2 94.5 55.5
# 8 6.6 85.3 44.5
# 30 0.0 54.8 26.4
# 50 0.0 37.0 17.8
# 100 0.0 16.8 8.1
# 200 0.0 5.0 2.4
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40.00
50.00
60.00
70.00
80.00
90.00
100.00
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4. 02.-Se tiene dos agregados (piedra chancada y arena gruesa), producto de la trituración del
granito en una planta trituradora, se han elaborado las granulometrías de ambos materiales.
Determinar los porcentajes de incidencia de cada agregado, para que cumpla con la
especificación de mezcla asfáltica
% Pas Ac Especificación
MALLA P. CHANCADA ARENA
G.
Li Ls
1"
3/4" 100 100 100 100
1/2" 90 100 80 100
3/8" 59 100 70 90
# 4 16 96.00 50 70
# 8 3.2 82.00 35 50
# 30 1.1 51.00 18 29
# 50 0 36.00 13 23
# 100 0 21.00 8 16
# 200 0 0.20 4 10
0.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
0 10 20 30 40 50 60 70 80 90 100

5. 50.8% Piedra Chancada + 49.2% Arena Gruesa
MALLA % Pas Ac MEZCLA
P. CHANC ARENA G.
3/4" 100.0 100.0 100.0
1/2" 90.0 100.0 94.9
3/8" 59.0 100.0 79.2
# 4 16.0 96.0 55.4
# 8 3.2 82.0 42.0
# 30 1.1 51.0 25.7
# 50 0.0 36.0 17.7
# 100 0.0 21.0 10.3
# 200 0.0 0.2 0.1
Si se cuenta con polvo de roca, indicar cuanto debe ser la adición de este para mejorar las
propiedades mecánicas de la mezcla.
% Pas Ac
MALLA FILLER
1" 100
3/4" 100
1/2" 100
3/8" 100
# 4 100
# 8 100
# 30 100
# 50 98
# 100 93
# 200 82

6. 94.3% Mezcla de Piedra y Arena + 5.7% Filler
MALLA % Pas Ac MEZCLA
P. más A.G FILLER
3/4" 100.0 100.0 100.0
1/2" 94.9 100.0 95.2
3/8" 79.2 100.0 80.4
# 4 55.4 100.0 57.9
# 8 42.0 100.0 45.3
# 30 25.7 100.0 29.9
# 50 17.7 98.0 22.3
# 100 10.3 93.0 15.0
# 200 0.1 82.0 4.8
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100.00
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7. 03.-Indicar las medidas que deben adoptarse en el uso de los agregados. Para resolver el
mismo problema si el objetivo fuese obtener una mezcla asfáltica de especificaciones MTC
MAC-1 y MAC-2
MTC MAC-1
MALLA Li Ls
2" 100 100
1" 100 100
3/4" 80 100
1/2" 67 85
3/8" 60 77
# 4 43 54
# 10 29 45
# 40 14 25
# 80 8 17
# 200 4 8
ARENA
MALLA Peso
# 6 108.4
# 8 218.9
# 10 321.5
# 20 167.4
# 30 86.4
# 40 168.7
# 50 56.3
# 80 84.1
# 100 94.5
# 200 198.7
Fondo 154.5
PIEDRA CHANCADA
MALLA Peso
3" 115.3
2 1/2" 261.4
1 1/2" 451.2
1" 659.5
3/4" 247.3
1/2" 139.1
3/8" 68.5
1/4" 47.3
# 4 13.2

8. -Se retiran los tamaños superiores a 1" (74.27%) de la Piedra Chancada
PIEDRA CHANCADA
MALLA Peso %Ret %Ret MOD. %Ret cor % Pas Ac
3" 115.3 5.8 0.0 0.0 100.0
2 1/2" 261.4 13.1 0.0 0.0 100.0
1 1/2" 451.2 22.5 0.0 0.0 100.0
1" 659.5 32.9 0.0 0.0 100.0
3/4" 247.3 12.3 12.3 48.0 52.0
1/2" 139.1 6.9 6.9 27.0 25.0
3/8" 68.5 3.4 3.4 13.3 11.7
1/4" 47.3 2.4 2.4 9.2 2.6
# 4 13.2 0.7 0.7 2.6 0.0
ARENA
MALLA Peso %Ret % Pas Ac
# 6 108.4 6.5 93.5
# 8 218.9 13.2 80.3
# 10 321.5 19.4 60.9
# 20 167.4 10.1 50.8
# 30 86.4 5.2 45.6
# 40 168.7 10.2 35.4
# 50 56.3 3.4 32.0
# 80 84.1 5.1 27.0
# 100 94.5 5.7 21.3
# 200 198.7 12.0 9.3
Fondo 154.5 9.3 0.0

9. 43.8% Piedra Chancada + 56.2% Arena
MALLA % Pas Ac MEZCLA
P. CHANC ARENA.
2" 100.0 100.0 100.0
1" 100.0 100.0 100.0
3/4" 52.0 100.0 79.0
1/2" 25.0 100.0 67.1
3/8" 11.7 100.0 61.3
# 4 0.0 100.0 56.2
# 10 0.0 60.9 34.2
# 40 0.0 35.4 19.9
# 80 0.0 27.0 15.2
# 200 0.0 9.3 5.2
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10. Para la especificación MTC MAC-2
MTC MAC-2
MALLA Li Ls
2" 100 100
1" 100 100
3/4" 100 100
1/2" 80 100
3/8" 70 88
# 4 51 68
# 10 38 52
# 40 17 28
# 80 8 17
# 200 4 8
PIEDRA CHANCADA
MALLA Peso
3" 115.3
2 1/2" 261.4
1 1/2" 451.2
1" 659.5
3/4" 247.3
1/2" 139.1
3/8" 68.5
1/4" 47.3
# 4 13.2
ARENA
MALLA Peso
# 6 108.4
# 8 218.9
# 10 321.5
# 20 167.4
# 30 86.4
# 40 168.7
# 50 56.3
# 80 84.1
# 100 94.5
# 200 198.7
Fondo 154.5

11. -Se retiran los tamaños superiores a 3/4" (86.61%) de la Piedra Chancada
MALLA Peso %Ret %Ret MOD %Ret cor % Pas Ac
3" 115.3 5.8 0.0 0.0 100.0
2 1/2" 261.4 13.1 0.0 0.0 100.0
2" 0.0 0.0 0.0 0.0 100.0
1 1/2" 451.2 22.5 0.0 0.0 100.0
1" 659.5 32.9 0.0 0.0 100.0
3/4" 247.3 12.3 0.0 0.0 100.0
1/2" 139.1 6.9 6.9 51.9 48.1
3/8" 68.5 3.4 3.4 25.6 22.6
1/4" 47.3 2.4 2.4 17.6 4.9
# 4 13.2 0.7 0.7 4.9 0.0
ARENA
MALLA Peso %Ret % Pas Ac
# 6 108.4 6.5 93.5
# 8 218.9 13.2 80.3
# 10 321.5 19.4 60.9
# 20 167.4 10.1 50.8
# 30 86.4 5.2 45.6
# 40 168.7 10.2 35.4
# 50 56.3 3.4 32.0
# 80 84.1 5.1 27.0
# 100 94.5 5.7 21.3
# 200 198.7 12.0 9.3
Fondo 154.5 9.3 0.0

12. 37.3% Piedra Chancada + 62.7% Arena
MALLA % Pas Ac MEZCLA
P. CHANC ARENA.
2" 100.0 100.0 100.0
1" 100.0 100.0 100.0
3/4" 100.0 100.0 100.0
1/2" 48.1 100.0 80.6
3/8" 22.6 100.0 71.1
# 4 0.0 100.0 62.7
# 10 0.0 60.9 38.2
# 40 0.0 35.4 22.2
# 80 0.0 27.0 16.9
# 200 0.0 9.3 5.8
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