[PDF] Superpave Volumetric Calculations Review





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Superpave Volumetric Calculations Review

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Superpave Volumetric Calculations Review

Bulk Specific Gravity of the Combined Aggregate

Where P n = Cold Feed Percentage of Each Aggregate in the Blend Gn = Bulk Specific Gravity of Each Aggregate in the Blend

Example Calculation:

1 = 2.60, P1 = 15

2 = 2.61, P

2 = 16

3 = 2.65, P3 = 49

௦௕=15+16+ 49+20 15 2 .60 +16 2 .61+49 2 .65+20 2 .69 =100 5 .769+6.130+18.491+7.435 =100

37.825

=2.64

Calculation Activity

Find Gsb

where:

1 = 2.68, P1 = 40

2 = 2.66, P2

= 20

4 = 2.60, P4 = 20

Effective Specific Gravity of the Mixture

=100െ ܲ 100
F2 Where G se = Effective Specific Gravity of the Mixture P b = Percent Asphalt Content in the Mixture G b = Specific Gravity of the PG Binder = 1.030 G mm = Maximum Specific Gravity of the Mixture

Example Calculation:

P b = 5.5 % G b = 1.030

Gmm = 2.470

=100െ 5.5 100
2 .470 െ5.5 1 .030 =94.5

40.486െ5.340

=94.5

35.146

=2.689

Calculation Activity

Find G

se where: P b = 5.2% G b = 1.030 G mm = 2.468

Bulk Volume of the Specimen

Example Calculation:

Weight in Water = 2680.2 g

SSD Weight of Pill = 4646.3 g

Calculation Activity

Compute Bulk Volume where:

Weight in Water = 2729.4

SSD Weight of Pill = 4733.5

Bulk Specific Gravity

Example Calculation:

Weight in Air = 4728.4 g

Weight in Water = 2759.9 g

Saturated Surface Dry Weight = 4739.1 g

=4728.4 ݃

4739.1 ݃െ2759.9 ݃

=4728.4 ݃

1979.2 ݃

Calculation Activity

Weight in Air = 4769.2 g

Weight in Water = 2744.6 g

Satura

ted Surface Dry Weight =

4773.2

g

Unit Weight

×62.4 ݈ܾ

Example Calculation:

Given Gmb = 2.389

݊݅ݐ ܹ݄݁݅݃ݐ=2.389×62.4 ݈ܾ ݊݅ݐ ܹ݄݁݅݃ݐ=149.0736 ݈ܾ

Calculation Activity

Given G

mb = 2.353, what is the Unit Weight?

Percent Air Voids

p Where G mm = Maximum Specific Gravity of the Mixture G mb = Bulk Specific Gravity of the Specimen

Example Calculation:

G mm = 2.451

Gmb = 2.350

2 .451 2 .451

Calculation Activity

Find P

a where:

Gmm = 2.491

G mb (Calculation Activity # 1) = 2.382 Percent of Absorbed Asphalt by Weight of Aggregate h Where 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

Example Calculation:

G b = 1.03 P b = 3.9% G se = 2.697

Gsb = 2.66

2.697×2.66൨

2 .697×2.66൨ 7 .17൨ = 1.03×[(96.1)×0.0052] = 1.03×[0.500] = 0.52

Calculation Activity

Find P

ba where: G b = 1.03 G se = 2.708 G sb = 2.67 P b = 5.7 %

Percent Effective Asphalt Content

Where P b = Percent of Asphalt Content in the Mixture P ba = Percent of Absorbed Asphalt

Example Calculation:

P b = 5.7% P ba = 0.54

Calculation Activity

Find P

be where: P ba = 0.91 % P b = 5.7 %

Voids in Mineral Aggregate (VMA) @ Ndes

% ܣܯܸ= 100െቆܩ

×(100െܲ

G Where 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

Example Calculation:

G mb = 2.389 G sb = 2.66 P b = 5.7% 2 .66ቇ 2 .66 2 .66

Calculation Activity

Find VMA

where: G mb = 2.367 G sb = 2.66 P b = 5.2%

Voids Filled with Asphalt @ Ndes

% ܣܨܸ= 100×൬%ܣܯܸെ ܲ p Where %VMA = Percent Voids in Mineral Aggregate P a = Percent of Air Voids

Example Calculation:

%VMA = 12.4%

Pa = 5.3

12.4 12.4

Calculation Activity

Find VFA where:

VMA = 12.7 %

P a = 4.7 %

Percent of Maximum Specific Gravity @ Nini

×100

I

Where:

% G mm @ Nini = Maximum Specific Gravity of a Paving Mixture at Nini G mb @ Ndes = Bulk Specific Gravity of a Paving Mixture at Ndes

Ht @ N

des = Pill Height @ Ndes

Ht @ N

ini = Pill Height @ Nini Gmm @ Ndes = Maximum Specific Gravity of a Paving Mixture at Ndes

Calculation Example:

G mb = 2.386

Ht @ N

des = 116.2

Ht @ N

ini = 129.1

Gmm = 2.578

129.1×100

2 .578൨ =2.386×[0.90×38.790] =2.386×[34.911] =2.386×[0.90×38.790] =83.3 %

Calculation Activity

Find Percent of Maximum Specific Gravity @ N

ini where: G mb = 2.384

Ht @ N

des = 122.8

Ht @ N

ini = 119.6 G mm = 2.518

Dust to Asphalt Ratio

Where P #200 = Percent Passing the #200 sieve P be = Percent of Effective Asphalt Binder

Example Calculation:

P #200 = 5.9%

Pbe = 3.8%

3 .8

Calculation Activity

Find D/A given:

P #200 = 7.5% P be = 4.8%

Percent of Maximum Specific Gravity @ Nmax

=100×ቈܩ I

Where:

% Gmm @ Nmax = Percent of Maximum Specific Gravity of a Paving Mixture at N max G mb @ Nmax = Bulk Specific Gravity of a Paving Mixture at Nmax G mm @ Ndes = Maximum Specific Gravity of a Paving Mixture at Ndes

Calculation Example:

G mb @ Nmax = 2.470 G mm @ 4.0 = 2.528 2 .528൨ =0.977 ݋ݎ 97.7 %

Calculation Activity:

G mb @ Nmax = 2.396 G mm @ 5.5 = 2.468 Computing Maximum Specific Gravities at Different Asphalt Contents Where 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

Example Calculation

P mm = 100% P s = 94.5% G se = 2.665 P b = 5.5%

Gb = 1.03

=100 94.5
2 .665 +5.5 1 .03 =100

35.460+5.340

=100 40.8
=2.451

Calculation Activity

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