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By Gizaw Mekonnen Eshete
Marshall Mix Design of 100% reclaimed material and virgin aggregate mixtures
Key
Can be chenged In put
Don’t Edit Calculated output
Don’t Edit Result
INPUT: GIVEN BASIC DATA FOR SAMPLE OF PAVING MIXTURE
a) Constituents:
Adasia
Specific Gravity
Test
Meth
od Mixture Compositon % by weight of:
Material Aparrent Bulk Dry
Tot
al
Mix
Dry
Aggregat
es
Asphalt Cement Gb 1.033 T-28 Pb 4.580152672 P'b 4.80
Coarse Aggregates 2.564 G1 2.52 KT-6-I P1 54.38931298 P'1 57.00
Fine Aggregates 1.83 G1 2.59 KT-6-II P2 39.1221374 P'2 41.00
Miniral filler 3.2 G2 3.10 KT-6-II P3 1.908396947 P'3 2.00
100 weight 104.80 %
Gmb = 2.285
Gmm = 2.445 Theoretical Maximum Specific Gravity
Pmm = 100 %
CF= 0.021
CALCULATIONS
Formula 1 Mixture composition
a, Pb= Percent asphalt, total mixture basis. 4.58 %
b, P1= Percent Coarse Aggr., total mixture basis. 54.39 %
c, P2= Percent fine Aggr., total mixture basis. 39.12 %
d, P3= Percent filler, total mixture basis. 1.908
e, Ps= aggregate, % by total weight of mix (P1+ P2+ P3+ Pn) 95.42
2 Specific Gravity
a, Gsb= (Gt) Bulk dry specific gravity of the total aggregate 2.559
a, Gsb= (Gt) Bulk dry specific gravity of the total aggregate 2.596
b, Gse = Effective specific gravity of aggregate 2.617
c, Gsa=Apparent Specific Gravity 2.797
d, Gmm = max. specific gravity of paving mixture (no air voids), (KT-39)2.445
𝑃1 =
𝑃1′ × 100
100 + 𝑃𝑏′
𝑃𝑏 =
𝑃𝑏′ × 100
100 + 𝑃𝑏′
𝑃2 =
𝑃2′ × 100
100 + 𝑃𝑏′
𝐺𝑠𝑏 =
𝑃1 + 𝑃2 + ⋯ . 𝑛
𝑃1
𝐺1
+
𝑃1
𝐺1
+ ⋯ .
𝑃𝑛
𝐺 𝑛
𝐺𝑠𝑒 =
𝑃𝑚𝑚 − 𝑃𝑏
𝑃𝑚𝑚
𝐺 𝑚𝑚
−
𝑃𝑏
𝐺 𝑏
𝐺 𝑚𝑚 =
𝑃𝑚𝑚
𝑃𝑠
𝐺𝑠𝑒
+
𝑃𝑏
𝐺 𝑏
𝑃𝑠 = (𝑃1 + 𝑃2 + 𝑃3 + 𝑃𝑛)
𝐺𝑠𝑎 =
𝑃1 + 𝑃2
𝑃1
𝐺𝑏1
+
𝑃2
𝐺𝑏2
𝐺𝑠𝑏 = 𝐺𝑠𝑒- CF
𝑃3 =
𝑃3′ × 100
100 + 𝑃𝑏′
3 Pba= absorbed asphalt, percent by weight of aggregate. 0.897 %
4 Pbe= effective asphalt content, percent by total weight of mixture.3.724 %
4 Pbe= effective asphalt content, percent by total weight of mixture.4.275 %
5 Ps= aggregate, percent by total weight of mixture. 95.42
95.42 %
6 Voids
b, VMA = voids in mineral aggregate, percent of bulk vol. 14.78 %
,a VMA = voids in mineral aggregate (percent of bulk vol.) 15.99 %
c, Vv= air voids in compacted mixture, % of total volume. 6.541 %
VTM= void in a total mix 6.541 %
d, VFA=Percent Voids Filled with Asphalt: 55.73 %
𝑃𝑏𝑎 = 100
𝐺𝑠𝑒 − 𝐺𝑠𝑏
𝐺𝑠𝑏 × 𝐺𝑠𝑒
𝐺 𝑏
𝑃𝑏𝑒 = 𝑃𝑏 −
𝑃𝑏𝑎
100
𝑃𝑠
𝑉𝑀𝐴 = 100 −
𝐺 𝑚𝑏 𝑃𝑠
𝐺𝑠𝑏
𝑃𝑠=
100
100 + 𝑃𝑏′
∗ 100
𝑉𝑀𝐴 = 100 −
𝐺 𝑚𝑏
𝐺𝑠𝑏
∗
100
100 + 𝑃𝑏′
∗ 100
𝑉𝑣 = 100 ∗
𝐺 𝑚𝑚 − 𝐺 𝑚𝑏
𝐺 𝑚𝑚
𝑉𝐹𝐴 =
𝑃𝑏𝑒
𝐺 𝑏
𝑉𝑀𝐴
𝐺 𝑚𝑏
∗ 100
𝑉𝑇𝑀 = 1 −
𝐺 𝑚𝑏
𝐺 𝑚𝑚
*100
𝑃𝑏𝑒 = 𝑃𝑏 − *𝑃𝑠 *𝐺 𝑏(
𝐺𝑠𝑒−𝐺 𝑠𝑏
𝐺 𝑠𝑏×𝐺𝑠𝑒
)
𝑃𝑠= 𝑃𝑚𝑚 − 𝑃𝑏
e, VFA=Percent Voids Filled with Asphalt: 59.11 %
F/A Ratio 7 1.17
OUT PUT: REPORT
% AC by Wt. Aggr P'b= 4.800
AC by Wt. Mix Pb= 4.580
% Aggr. by Wt. Mix Ps= 95.420
S. G. of Asphalt Gb= 1.033
S. G. of Aggr. (bulk) Gsb= 2.559
Max. S. G. Mix (KT-39) Gmm = 2.445
(computed)
Theo. Max. KG/M3
Eff. S. G. of Aggr. Gse = 2.617
% Abs. Asphalt Pba= 0.897
Eff. Asph. Content Pbe= 3.724
% V. M. A. VMA = 14.776
S. G. of plugs (KT-15) Gmb = 2.285
Lab Plugs KG/M3
% Air Voids Vv=VIM 6.541
% Voids Filled VFB= 55.734
𝑉𝐹𝐴 ==
𝑉𝑀𝐴 − 𝑃𝑎
𝑉𝑀𝐴
100

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Marshall calculation PDF

  • 1. By Gizaw Mekonnen Eshete Marshall Mix Design of 100% reclaimed material and virgin aggregate mixtures Key Can be chenged In put Don’t Edit Calculated output Don’t Edit Result INPUT: GIVEN BASIC DATA FOR SAMPLE OF PAVING MIXTURE a) Constituents: Adasia Specific Gravity Test Meth od Mixture Compositon % by weight of: Material Aparrent Bulk Dry Tot al Mix Dry Aggregat es Asphalt Cement Gb 1.033 T-28 Pb 4.580152672 P'b 4.80 Coarse Aggregates 2.564 G1 2.52 KT-6-I P1 54.38931298 P'1 57.00 Fine Aggregates 1.83 G1 2.59 KT-6-II P2 39.1221374 P'2 41.00 Miniral filler 3.2 G2 3.10 KT-6-II P3 1.908396947 P'3 2.00 100 weight 104.80 % Gmb = 2.285 Gmm = 2.445 Theoretical Maximum Specific Gravity Pmm = 100 % CF= 0.021
  • 2. CALCULATIONS Formula 1 Mixture composition a, Pb= Percent asphalt, total mixture basis. 4.58 % b, P1= Percent Coarse Aggr., total mixture basis. 54.39 % c, P2= Percent fine Aggr., total mixture basis. 39.12 % d, P3= Percent filler, total mixture basis. 1.908 e, Ps= aggregate, % by total weight of mix (P1+ P2+ P3+ Pn) 95.42 2 Specific Gravity a, Gsb= (Gt) Bulk dry specific gravity of the total aggregate 2.559 a, Gsb= (Gt) Bulk dry specific gravity of the total aggregate 2.596 b, Gse = Effective specific gravity of aggregate 2.617 c, Gsa=Apparent Specific Gravity 2.797 d, Gmm = max. specific gravity of paving mixture (no air voids), (KT-39)2.445 𝑃1 = 𝑃1′ × 100 100 + 𝑃𝑏′ 𝑃𝑏 = 𝑃𝑏′ × 100 100 + 𝑃𝑏′ 𝑃2 = 𝑃2′ × 100 100 + 𝑃𝑏′ 𝐺𝑠𝑏 = 𝑃1 + 𝑃2 + ⋯ . 𝑛 𝑃1 𝐺1 + 𝑃1 𝐺1 + ⋯ . 𝑃𝑛 𝐺 𝑛 𝐺𝑠𝑒 = 𝑃𝑚𝑚 − 𝑃𝑏 𝑃𝑚𝑚 𝐺 𝑚𝑚 − 𝑃𝑏 𝐺 𝑏 𝐺 𝑚𝑚 = 𝑃𝑚𝑚 𝑃𝑠 𝐺𝑠𝑒 + 𝑃𝑏 𝐺 𝑏 𝑃𝑠 = (𝑃1 + 𝑃2 + 𝑃3 + 𝑃𝑛) 𝐺𝑠𝑎 = 𝑃1 + 𝑃2 𝑃1 𝐺𝑏1 + 𝑃2 𝐺𝑏2 𝐺𝑠𝑏 = 𝐺𝑠𝑒- CF 𝑃3 = 𝑃3′ × 100 100 + 𝑃𝑏′
  • 3. 3 Pba= absorbed asphalt, percent by weight of aggregate. 0.897 % 4 Pbe= effective asphalt content, percent by total weight of mixture.3.724 % 4 Pbe= effective asphalt content, percent by total weight of mixture.4.275 % 5 Ps= aggregate, percent by total weight of mixture. 95.42 95.42 % 6 Voids b, VMA = voids in mineral aggregate, percent of bulk vol. 14.78 % ,a VMA = voids in mineral aggregate (percent of bulk vol.) 15.99 % c, Vv= air voids in compacted mixture, % of total volume. 6.541 % VTM= void in a total mix 6.541 % d, VFA=Percent Voids Filled with Asphalt: 55.73 % 𝑃𝑏𝑎 = 100 𝐺𝑠𝑒 − 𝐺𝑠𝑏 𝐺𝑠𝑏 × 𝐺𝑠𝑒 𝐺 𝑏 𝑃𝑏𝑒 = 𝑃𝑏 − 𝑃𝑏𝑎 100 𝑃𝑠 𝑉𝑀𝐴 = 100 − 𝐺 𝑚𝑏 𝑃𝑠 𝐺𝑠𝑏 𝑃𝑠= 100 100 + 𝑃𝑏′ ∗ 100 𝑉𝑀𝐴 = 100 − 𝐺 𝑚𝑏 𝐺𝑠𝑏 ∗ 100 100 + 𝑃𝑏′ ∗ 100 𝑉𝑣 = 100 ∗ 𝐺 𝑚𝑚 − 𝐺 𝑚𝑏 𝐺 𝑚𝑚 𝑉𝐹𝐴 = 𝑃𝑏𝑒 𝐺 𝑏 𝑉𝑀𝐴 𝐺 𝑚𝑏 ∗ 100 𝑉𝑇𝑀 = 1 − 𝐺 𝑚𝑏 𝐺 𝑚𝑚 *100 𝑃𝑏𝑒 = 𝑃𝑏 − *𝑃𝑠 *𝐺 𝑏( 𝐺𝑠𝑒−𝐺 𝑠𝑏 𝐺 𝑠𝑏×𝐺𝑠𝑒 ) 𝑃𝑠= 𝑃𝑚𝑚 − 𝑃𝑏
  • 4. e, VFA=Percent Voids Filled with Asphalt: 59.11 % F/A Ratio 7 1.17 OUT PUT: REPORT % AC by Wt. Aggr P'b= 4.800 AC by Wt. Mix Pb= 4.580 % Aggr. by Wt. Mix Ps= 95.420 S. G. of Asphalt Gb= 1.033 S. G. of Aggr. (bulk) Gsb= 2.559 Max. S. G. Mix (KT-39) Gmm = 2.445 (computed) Theo. Max. KG/M3 Eff. S. G. of Aggr. Gse = 2.617 % Abs. Asphalt Pba= 0.897 Eff. Asph. Content Pbe= 3.724 % V. M. A. VMA = 14.776 S. G. of plugs (KT-15) Gmb = 2.285 Lab Plugs KG/M3 % Air Voids Vv=VIM 6.541 % Voids Filled VFB= 55.734 𝑉𝐹𝐴 == 𝑉𝑀𝐴 − 𝑃𝑎 𝑉𝑀𝐴 100