The creep compliance of a viscoelastic material is shown in the following Table. Time Creep compliance (1/Pa) 6 0.0003248 15 0.0003654 30 0.0004059 60 0.0004872 120 0.0008525 240 0.0010353 480 0.0011368 900 0.0012586 1800 0.0014818 a) Develop a generalized model can be used to simulate viscoelastic behaviour (determine a suitable kelvin model). b) It the model develop subjected to a sinusoidal loading with frequency of 1Hz, determine the dynamic modulus of the materia

Part Three 30% (Answer one only) 97 Q.6. Answer the following question (6% for each one) (30%) 1) Determine optimum proportion of each type of aggregate shown in the following table. Sieve size % returning Specification in A B 19 3/4 0 0 0 100 12.5 1/2 37 0 0 70-85 4.75 No.4 81 0 0 40-55 2.38 No.8 92 7 0 30-42 0.3 No.50 95 45 0 20-30 0.15 No.100 97 64 3 12-22 0.075 No.200 100 12 5-11 2. Design a concrete taxiway pavement mixture, the design strength is 25 MPa, the pavements exposed to freezing and thawing, with standard deviation 6 and 8% test results expected below Min strength. The Max. size of aggregate is 37.5 mm and its bulk density is 1500 kg/m?; k-1.5. The fineness modulus of fine aggregate is 2.8. Air entraining agent is used. 3. Calculated Activation Energy to flow related to asphalt and reaction energy between pure asphalt and 4. Predict Activation Energy at mixing and compaction temperatures. DSR Results RV Results Temp. C Pure +SBS Temp. C Pure +SBS 5 426100 992400 100 5781 17810 15 292000 364600 120 1326 4437 25 86310 80700 140 481.3 1828 35 19460 24870 160 200 527.3 50 2181 1981 180 96.9 2373 60 457.4 572.5 200 51.1 139.2 5. Flexible pavement is compaction using stable steel roller (Tandem axle, total weight of roller - 6 ton, drum diameter 1.524 m and drum width equal to 2.16 m). Evaluate this pavement to resist cracking. SBS polymer. Pure Pure - Part Three 30% (Answer one only) 97 Q.6. Answer the following question (6% for each one) (30%) 1) Determine optimum proportion of each type of aggregate shown in the following table. Sieve size % returning Specification in A B 19 3/4 0 0 0 100 12.5 1/2 37 0 0 70-85 4.75 No.4 81 0 0 40-55 2.38 No.8 92 7 0 30-42 0.3 No.50 95 45 0 20-30 0.15 No.100 97 64 3 12-22 0.075 No.200 100 12 5-11 2. Design a concrete taxiway pavement mixture, the design strength is 25 MPa, the pavements exposed to freezing and thawing, with standard deviation 6 and 8% test results expected below Min strength. The Max. size of aggregate is 37.5 mm and its bulk density is 1500 kg/m?; k-1.5. The fineness modulus of fine aggregate is 2.8. Air entraining agent is used. 3. Calculated Activation Energy to flow related to asphalt and reaction energy between pure asphalt and 4. Predict Activation Energy at mixing and compaction temperatures. DSR Results RV Results Temp. C Pure +SBS Temp. C Pure +SBS 5 426100 992400 100 5781 17810 15 292000 364600 120 1326 4437 25 86310 80700 140 481.3 1828 35 19460 24870 160 200 527.3 50 2181 1981 180 96.9 2373 60 457.4 572.5 200 51.1 139.2 5. Flexible pavement is compaction using stable steel roller (Tandem axle, total weight of roller - 6 ton, drum diameter 1.524 m and drum width equal to 2.16 m). Evaluate this pavement to resist cracking. SBS polymer. Pure Pure