Derive the following relationship Pre VMA = 100 b) 2. In a Superpave design for an...
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Derive the following relationship Pre VMA = 100 b) 2. In a Superpave design for an asphalt mixture, the percentage of asphalt binder by total weight of asphalt mixture is 5.2%. The bulk specife gravity of aggregate (Gb)-2.536, the specife gravity of asphalt binder (G)=1.020, and the density of water (yw)=1.000 g/cm³. If the absorbed asphalt binder (Pta) is 1.70% by total weight of aggregate, and the voids filled with asphalt (VFA) is 68.3%, determine the following properties of the asphalt mixture: Note: Gmb VFA Gb a. The effective asphalt binder content (Pbc) b. The bulk specife gravity of the asphalt mixture (Gmb) [Hint: using the relationship in question 1] c. The voids in mineral aggregate (VMA) d. The air voids in the asphalt mixture (VTM) e. The theoretical maximum specife gravity of the asphalt mixture (Gmm) f. The effective specife gravity of the aggregate (Ge) The following relationship are given: Pbe = Pb-(100) Pb = 100 - Ps Ps Where: Phe effective asphalt binder content, percent by total weight of asphalt mixture Ps= percentage of asphalt binder content, by total weight of asphalt mixture Pha= absorbed asphalt content, percent by total weight of aggregate P-percentage of aggregate, by total weight of asphalt mixture 1. Figure 1 shows the volumetric relationship of bituminous mix. Va Air Vm VMA Vsb -V₂ Vse VMA 100 Vbe Vba Figure 1 Volumetric relationship within bituminous mix From the first principle, the VMA is defined below: Effective Asphalt Absorbed Asphalt VFA is defined below: (V₁ + Vbe) = 100 (VMA) Vm Vm Where: VMA = voids in mineral aggregate, percent by total volume of asphalt mixture VMA voids in mineral aggregate V₂-volume of air voids in asphalt mixture Aggregates Vhe volume of effective asphalt binder in asphalt mixture Vm= total volume of asphalt mixture The voids in total mixture (VTM) is defined as in the following expression: VTM = 100 Where: VTM = voids in total mixture, percent by total volume of asphalt mixture V₂ volume of air voids in asphalt mixture Vm= total volume of asphalt mixture And the effective asphalt binder content (Pb) is defined as in the following expression: Pbe = 100 VFA = 100 Where: Phe percentage of asphalt binder content, by total weight of asphalt mixture P= percentage of aggregate, by total weight of asphalt mixture We weight of effective asphalt binder Wm= total weight of asphalt mixture W VMA VFA voids filled with asphalt, percent by volume of total voids in asphalt mixture Vhe volume of effective asphalt binder in asphalt mixture VMA voids in mineral aggregate Derive the following relationship Pre VMA = 100 b) 2. In a Superpave design for an asphalt mixture, the percentage of asphalt binder by total weight of asphalt mixture is 5.2%. The bulk specife gravity of aggregate (Gb)-2.536, the specife gravity of asphalt binder (G)=1.020, and the density of water (yw)=1.000 g/cm³. If the absorbed asphalt binder (Pta) is 1.70% by total weight of aggregate, and the voids filled with asphalt (VFA) is 68.3%, determine the following properties of the asphalt mixture: Note: Gmb VFA Gb a. The effective asphalt binder content (Pbc) b. The bulk specife gravity of the asphalt mixture (Gmb) [Hint: using the relationship in question 1] c. The voids in mineral aggregate (VMA) d. The air voids in the asphalt mixture (VTM) e. The theoretical maximum specife gravity of the asphalt mixture (Gmm) f. The effective specife gravity of the aggregate (Ge) The following relationship are given: Pbe = Pb-(100) Pb = 100 - Ps Ps Where: Phe effective asphalt binder content, percent by total weight of asphalt mixture Ps= percentage of asphalt binder content, by total weight of asphalt mixture Pha= absorbed asphalt content, percent by total weight of aggregate P-percentage of aggregate, by total weight of asphalt mixture 1. Figure 1 shows the volumetric relationship of bituminous mix. Va Air Vm VMA Vsb -V₂ Vse VMA 100 Vbe Vba Figure 1 Volumetric relationship within bituminous mix From the first principle, the VMA is defined below: Effective Asphalt Absorbed Asphalt VFA is defined below: (V₁ + Vbe) = 100 (VMA) Vm Vm Where: VMA = voids in mineral aggregate, percent by total volume of asphalt mixture VMA voids in mineral aggregate V₂-volume of air voids in asphalt mixture Aggregates Vhe volume of effective asphalt binder in asphalt mixture Vm= total volume of asphalt mixture The voids in total mixture (VTM) is defined as in the following expression: VTM = 100 Where: VTM = voids in total mixture, percent by total volume of asphalt mixture V₂ volume of air voids in asphalt mixture Vm= total volume of asphalt mixture And the effective asphalt binder content (Pb) is defined as in the following expression: Pbe = 100 VFA = 100 Where: Phe percentage of asphalt binder content, by total weight of asphalt mixture P= percentage of aggregate, by total weight of asphalt mixture We weight of effective asphalt binder Wm= total weight of asphalt mixture W VMA VFA voids filled with asphalt, percent by volume of total voids in asphalt mixture Vhe volume of effective asphalt binder in asphalt mixture VMA voids in mineral aggregate
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Related Book For
Elementary Principles of Chemical Processes
ISBN: 978-0471720638
3rd Edition
Authors: Richard M. Felder, Ronald W. Rousseau
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