Answer:
Explanation:
From the given information:
Addition of all the materials = 65+ 36+ 5 +6 = 112 which is higher than 100 percentage; SO we need to find;
The actual percentage of each material which can be determined as follows:
Percentage of the coarse aggregate will be = 65 × 112/100
= 72.80%
Percentage of the Fine aggregate will be = 36 × 112/100
= 40.32%
Percentage of the filler will be = 5 × 112/100
= 5.6%
Percentage of the asphalt binder will be = 6 × 112/100
= 6.72 %
So; the theoretical specific gravity (Gt) of the mixture can be calculated as follows:
Gt = 100/( 72.80/2.635 + 40.32/2.710 + 5.6/2.748 + 6.72/1.088)
Gt = 100/( 27.628 + 14.878 + 2.039 + 6.177)
Gt = 100/ (50.722)
Gt =1.972
Also;Given that the bulk density = 143.9 lb/ft³
LIke-wsie ; as we know that unit weight of water is =62.43lb/cu.ft
Hence, the bulk specific gravity of the mix (Gm) = 143.9/62.43
=2.305
The percentage of air void = (Gt -Gm )× 100/ Gt
= (1.972 - 2.305) × 100/ 1.972
= -16.89%
The percentage of the asphalt binder is =(6.72/1.088*100)/(72.80+40.32+5.6+6.72)/2.305)
= 617.647/54.42
= 11.35%
Thus; the percentage voids in mineral aggregate = -16.89% + 11.35%
the percentage voids in mineral aggregate = -5.45%
The percent voids filled with asphalt. = 100 × 11.35/-5.45
The percent voids filled with asphalt = - 208.26 %
