Marshall calculation PDF
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The document provides input data and calculations for a sample paving mixture consisting of asphalt cement, coarse aggregates, fine aggregates, and mineral filler. It includes the mixture composition by weight, specific gravities, asphalt content, void properties such as VMA and VV, and other Marshall mix design parameters. Calculations are shown to determine properties like effective asphalt content, percent air voids, and percent voids filled with asphalt. The output reports the mix design properties and meets specifications.
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