a) The following data are available in a density-void analysis for Marshall method of mix design. Specific gravity: Coarse aggregate = 2.759 Fine aggregate = 2.905 Mineral filler = 2.699 Asphalt = 1.010 % by weight of total mix: Coarse aggregate = 51.45 Fine aggregate = 34.24 Mineral filler = 7.35 Asphalt = 6.96 Maximum specific gravity of paving mixture = 2.438 Bulk specific gravity of compacted mixture = 2.344 Calculate: Bulk specific gravity of the total aggregate, Effective specific gravity of the aggregate, Asphalt absorption of the aggregate, Voids in the mineral aggregate, Voids filled with asphalt, and Air voids in the compacted mixture.

Use the following volumetric relationships for asphalt mix analysis: VTM = 100 (1 - Gmb) VFA = 100 3. An asphalt concrete specimen has the following properties: Asphalt content = 5.5 % by total weigh of mix Bulk specific gravity of the mix = 2.475 Theoretical maximum specific gravity = 2.563 Bulk specific gravity of aggregate = 2.689 Assuming there is no absorption of binder, calculate the following: (a) Percent Voids in Total Mix (b) Percent Voids in Mineral Aggregate: VMA – VTM VMA (c) Percent Voids filled with asphalt: VMA = = (100 - Gmb Ps Gsb

Determine the allowable number of repetitions N for an asphalt mix that has the design modulus of 3.2×10×106kPa. The load-induced tensile strain at the base of the asphalt beam specimen was 150με. Given, the percentage by volume of bitumen in the asphalt was 10.0, the laboratory to service life fatigue factor was 5, and the project had the desired reliability of 90%.

Given the following information from an asphalt mix: Gsb = 2.705 Gmm = 2.534 Gmb = 2.432 Gb = 1.014 Pb = 5.7% Unit weight of water = 62.4 Ib/ft3 Assume 1 ft for total volume. Draw mass/volume relationship and determine Mass of Mix (Mm) Ib., Mass of Binder (Mb) Ib., Volume of Binder (Vb) pcf, Volume of Void-less Mix (Vmm) Volume of Air (Va) pcf, Volume of Absorbed Asphalt (Vba) pcf, Volume of Effective Asphalt (Vbe) pcf. In addition, calculate Air Voids (VA) %, Voids in Mineral Aggregate (VMA) %, and Voids Filled with Asphalt (VFA)