Superpave Volumetric Calculations Review

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1 Superpave Volumetric Calculations Review Bulk Specific Gravity of the Combined Aggregate Aggregate 1 G 1 = 2.60, P 1 = 15 Aggregate 2 G 2 = 2.61, P 2 = 16 Aggregate 3 G 3 = 2.65, P 3 = 49 Aggregate 4 G 4 = 2.69, P 4 = 20 GG ssss = PP 1 + PP 2 + PP 3 PP 1 + PP 2 + PP 3 GG 1 GG 2 GG 3 P n = Cold Feed Percentage of Each Aggregate in the Blend G n = Bulk Specific Gravity of Each Aggregate in the Blend GG ssss = GG ssss = GG ssss = GG ssss = 2.64 Find G sb where: Aggregate 1 G 1 = 2.68, P 1 = 40 Aggregate 2 G 2 = 2.66, P 2 = 20 Aggregate 3 G 3 = 2.65, P 3 = 20 Aggregate 4 G 4 = 2.60, P 4 = 20

2 Effective Specific Gravity of the Mixture GG ssss = 100 PP bb 100 GGGGGG PP bb GG bb G se = Effective Specific Gravity of the Mixture P b = Percent Asphalt Content in the Mixture G b = Specific Gravity of the PG Binder = G mm = Maximum Specific Gravity of the Mixture P b = 5.5 % G b = G mm = GG ssss = GG ssss = GG ssss = GG ssss = Find G se where: P b = 5.2% G b = G mm = 2.468

3 Bulk Volume of the Specimen BBBBBBBB VVVVVVVVVVVV = SSSSSS WWWWWWWWhtt oooo PPPPPPPP WWWWWWWWhtt iiii WWWWWWWWWW oooo PPPPPPPP Weight in Water = g SSD Weight of Pill = g BBBBBBBB VVVVVVVVVVVV = BBBBBBBB VVVVVVVVVVVV = gg Compute Bulk Volume where: Weight in Water = SSD Weight of Pill = Bulk Specific Gravity WWWWWWWWhtt iiii AAAAAA SSSSSS WWWWWWWWhtt WWWWWWWWhtt iiii WWWWWWWWWW Weight in Air = g Weight in Water = g Saturated Surface Dry Weight = g Weight in Air = g Weight in Water = g Saturated Surface Dry Weight = g gg gg gg gg gg ?

4 Unit Weight UUUUUUUU WWWWWWWWhtt = GG mmmm 62.4 llll ffff 3 Given G mb = UUUUUUUU WWWWWWWWhtt = UUUUUUUU WWWWWWWWhtt = llll ffff 3 llll ffff 3 Given G mb = 2.353, what is the Unit Weight? Percent Air Voids G mm = G mb = % AAAAAA VVVVVVVVVV = 100 GG mmmm GG mmmm GG mmmm G mm = Maximum Specific Gravity of the Mixture G mb = Bulk Specific Gravity of the Specimen % AAAAAA VVVVVVVVVV = % AAAAAA VVVVVVVVVV = % AAAAAA VVVVVVVVVV = 100 (0.0412) % AAAAAA VVVVVVVVVV = 4.1 % Find P a where:

5 G mm = G mb ( # 1) = Percent of Absorbed Asphalt by Weight of Aggregate % AAAAAAAAAAAAAAAA AAAAAAhaaaaaa bbbb WWWWWWWWhtt oooo AAAAAAAAAAAAAAAAAA = PP bbbb = GG bb (100 PP bb ) GG ssss GG ssss GG ssss GG ssss G b = 1.03 P b = 3.9% G se = G sb = 2.66 Find P ba where: G b = 1.03 G se = G sb = 2.67 P b = 5.7 % G b = Specific Gravity of Binder = 1.03 P b = Percent Asphalt Content in Mix G se = Effective Specific Gravity of the Aggregate Mixture G sb = Bulk Specific Gravity of the Aggregate Mixture PP bbbb = 1.03 ( ) PP bbbb = 1.03 (96.1) PP bbbb = 1.03 (96.1) PP bbbb = 1.03 [(96.1) ] PP bbbb = 1.03 [0.500] PP bbbb = 0.52

6 Percent Effective Asphalt Content % EEEEEEEEEEEEEEEEEE AAAAAAhaaaaaa CCCCCCCCCCCCCC = PP bb PP bbbb P b = Percent of Asphalt Content in the Mixture P ba = Percent of Absorbed Asphalt P b = 5.7% P ba = 0.54 % EEEEEEEEEEEEEEEEEE AAAAAAhaaaaaa CCCCCCCCCCCCCC = % EEEEEEEEEEEEEEEEEE AAAAAAhaaaaaa CCCCCCCCCCCCCC = 5.16 = 5.2% Find P be where: P ba = 0.91 % P b = 5.7 % Voids in Mineral Aggregate N des G mb = G sb = 2.66 P b = 5.7% % VVVVVV = 100 GG mmmm (100 PP bb ) GG ssss G mb = Bulk Specific Gravity of the Specimen (Pill) G sb = Bulk Specific Gravity of the Combined Aggregate P b = Percent of Asphalt Content in the Mixture

7 2.389 ( ) % VVVVVV = (94.3) % VVVVVV = % VVVVVV = % VVVVVV = 100 (84.69) % VVVVVV = 15.3% Find VMA where: G mb = G sb = 2.66 P b = 5.2% Voids Filled with N des % VVVVVV = 100 %VVVVVV PP aa %VVVVVV %VMA = Percent Voids in Mineral Aggregate P a = Percent of Air Voids %VMA = 12.4% P a = % VVVVVV = % VVVVVV = % VVVVVV = 100 (0.573) % VVVVVV = 57.3%

8 Find VFA where: VMA = 12.7 % P a = 4.7 % Percent of Maximum Specific N ini % GG NNNNNNNN = GG NNNNNNNN NN dddddd 100 NN iiiiii GG NNNNNNNN : Calculation Example: G mb = N des = N ini = G mm = % G Nini = Maximum Specific Gravity of a Paving Mixture at N ini G Ndes = Bulk Specific Gravity of a Paving Mixture at N des N des = Pill N des N ini = Pill N ini G Ndes = Maximum Specific Gravity of a Paving Mixture at N des % GG NNNNNNNN = % GG NNNNNNNN = [ ] % GG NNNNNNNN = [34.911] % GG NNNNNNNN = [ ] % GG NNNNNNNN = 83.3 %

9 Find Percent of Maximum Specific N ini where: G mb = N des = N ini = G mm = Dust to Asphalt Ratio P #200 = 5.9% P be = 3.8% DDDDDDDD tttt AAAAAAhaaaaaa RRRRRRRRRR = PP #200 PP bbbb P #200 = Percent Passing the #200 sieve P be = Percent of Effective Asphalt Binder DDDDDDDD tttt AAAAAAhaaaaaa RRRRRRRRRR = DDDDDDDD tttt AAAAAAhaaaaaa RRRRRRRRRR = 1.55 = 1.6 Find D/A given: P #200 = 7.5% P be = 4.8% Percent of Maximum Specific N max : % GG NNNNNNNN = 100 GG NNNNNNNN GG NNNNNNNN

10 % G Nmax = Percent of Maximum Specific Gravity of a Paving Mixture at N max G Nmax = Bulk Specific Gravity of a Paving Mixture at N max G Ndes = Maximum Specific Gravity of a Paving Mixture at N des Calculation Example: G N max = G 4.0 = % GG NNNNNNNN = % GG NNNNNNNN = oooo 97.7 % : G N max = G 5.5 = Computing Maximum Specific Gravities at Different Asphalt Contents Example Calculation P mm = 100% P s = 94.5% G se = P b = 5.5% PP mmmm PP ss GG ssss + PP bb GG bb P mm = Percent of Total Loose Mix = 100% P s = Percent Aggregate by Weight of Mix G se = Effective Specific Gravity of Aggregate P b = Percent of Asphalt Content in Mixture G b = Specific Gravity of Binder = 1.03

11 G b = P mm = 100% P s = 94.2% G se = P b = 5.8% G b = 1.03

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