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25.Based on the data in Table 2, determine the design binder content for a Superpave mix design for a 15 million ESAL. Assume a 12.5 mm nominal maximum aggregate size. Use an Excel sheet and submit the file. (20 marks)

Table 2. Design Binder Content

Data

Binder Content (%)

5.5

6.0

6.5

7.0

Gmb

2.351

2.441

2.455

2.469

Gmm

2.579

2.558

2.538

2.518

Gb

1.025

1.025

1.025

1.025

Ps

94.5

94.0

93.5

93.0

Pd

4.5

4.5

4.5

4.5

Gsb

2.705

2.705

2.705

2.705

hini

hdes

26.Component diagram of asphalt concrete and the relevant equations are shown below. Find the following volumetric parameters (specify the UNITs): (2x13 = 26 points) In order to get full mark, show all your work.

W = V × G × γw                                  where, γw = 1.0 g/cm3

Given that:

% binder:

S.G. of binder:

S.G. of aggregate:

Pb = 6.0%

Gb = 1.025

Gb(OD) = 2.705

Bulk mix. volume: Bulk S.G. of mix.:

effective S.G. of aggregate:

Vmb = 1000 cm3

Gmb = 2.441

Gse = 2.839

a) Wb

b) Wagg

c) Vsb

d) Vse

e) Vb

f) Vba

g) Vfa (Vbe)

h) Va

i) Vma

j) % air void, AV

k) % voids between mineral aggregates in mixture, VMA

l) % VMA filled with binder, VFA

m) Theoretical maximum specific gravity of mixture, Gmm

EQUATIONS & OTHER INFORMATION

G  =     WOD                                                                                             G  =         WOD

b(OD)    (V +V +V  )g

se    (V +V  +V

-V )g

s      ip       pp  w                                                                                                   s      ip      pp      ap  w

W -W                                              W -W

Total MC =  Stock        OD  X100

WOD

AC =  SSD        OD  X100 WOD

MF = 1 - %S*CAF

G = P1  + P2 + ...Pn

= å Pi

blend    P P    P       P

Volumetric Properties

1 + 2

G1      G2

+ ... n

Gn

å i

Gi

%Vair

= 100(1 - Vb

- Vagg - se )

%VMA

= 100(1 - Vagg - sb )

æ V    ö

ç            be        ÷

%VFA = ç

÷ * 100

W = V ´ G ´ g w

Wb = Wmb ´ Pb

è1 - Vagg - sb ø

gw = 62.4 lbs/ft3 = 1000 kg/m3 = 1 g/cm3

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