Marshal calculation by excel software converted to 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