Resilient Modulus Unbound Materials 1 Resilient Modulus M R - PDF document

Resilient Modulus Unbound Materials 1

Resilient Modulus M R Deviator stress Axial strain Resilient Modulus Cyclic Triaxial Test 2

Haversine Load Pulse Haversine Load Pulse sin ⎛ ⎞ t ( ) σ = π 2 ⎜ ⎟ t ⎝ ⎠ T Flowchart 3

Flowchart Flowchart b Procedure Ia Confining Contact Cyclic Number Pressure Stress Stress of Sequence (psi) (psi) (psi) Repetitions 0 15 3 30 1000 1 3 0.6 1.5 100 2 6 1.2 3 100 3 10 2 5 100 4 15 3 7.5 100 5 20 4 10 100 6 3 0.6 3 100 7 6 1.2 6 100 8 10 2 10 100 9 15 3 15 100 10 20 4 20 100 11 3 0.6 6 100 12 6 1.2 12 100 13 10 2 20 100 14 15 3 30 100 15 20 4 40 100 4

Procedure Ia (cont.) Confining Contact Cyclic Number Pressure Stress Stress of (psi) (psi) (psi) Repetitions Sequence 16 3 0.6 9 100 17 6 1.2 18 100 18 10 2 30 100 19 15 3 45 100 20 20 4 60 100 21 3 0.6 15 100 22 6 1.2 30 100 23 10 2 50 100 24 15 3 75 100 25 20 4 100 100 26 3 0.6 21 100 27 6 1.2 42 100 28 10 2 70 100 29 15 3 105 100 30 20 4 140 100 Procedure Ib Confining Contact Cyclic Number Pressure Stress Stress of Sequence (psi) (psi) (psi) Repetitions 0 4 0.8 8 1000 1 2 0.4 1 100 2 4 0.8 2 100 3 6 1.2 3 100 4 8 1.6 4 100 5 12 2.4 6 100 6 2 0.4 2 100 7 4 0.8 4 100 8 6 1.2 6 100 9 8 1.6 8 100 10 12 2.4 12 100 11 2 0.4 4 100 12 4 0.8 8 100 13 6 1.2 12 100 14 8 1.6 16 100 15 12 2.4 24 100 16 2 0.4 6 100 17 4 0.8 12 100 18 6 1.2 18 100 19 8 1.6 24 100 20 12 2.4 36 100 Procedure II Confining Contact Cyclic Number Pressure Stress Stress of Sequence (psi) (psi) (psi) Repetitions 0 4 0.8 7 1000 1 8 1.6 4 100 2 6 1.2 4 100 3 4 0.8 4 100 4 2 0.4 4 100 5 8 1.6 7 100 6 6 1.2 7 100 7 4 0.8 7 100 8 2 0.4 7 100 9 8 1.6 10 100 10 6 1.2 10 100 11 4 0.8 10 100 12 2 0.4 10 100 13 8 1.6 14 100 14 6 1.2 14 100 15 4 0.8 14 100 16 2 0.4 14 100 5

Granular Materials = θ K M K 2 R 1 Source: WSDOT Pavement Guide Interactive CD-ROM Fine-Grained Soils = σ K M K 4 R 3 d Source: WSDOT Pavement Guide Interactive CD-ROM Uzan Model = θ σ K K M K 6 7 R 5 d 6

Estimating Subgrade M R 1993 AASHTO Guide = × M 1500 CBR R WARNING: Only for fine-grained soils with soaked CBR < 10. Estimating Subgrade M R AASHTO MEPDG = × 0.64 M 2555 CBR R Good for a wide range of soil types M R vs. CBR 15000 M R = 1500 CBR 12000 9000 M R (psi) M R = 2555 CBR 0.64 6000 3000 0 0 1 2 3 4 5 6 7 8 9 10 CBR 7

M R vs. CBR 80000 70000 M R = 1500 CBR 60000 50000 M R (psi) 40000 M R = 2555 CBR 0.64 30000 20000 10000 0 0 5 10 15 20 25 30 35 40 45 50 CBR Correlations = × M 1500 CBR R Asphalt-Bound Materials 8

Diametral Resilient Modulus Calculation ⎛ ⎞ P 4 = − + ν ⎜ ⎟ M 1 δ π R ⎝ ⎠ t h Calculation P ( ) = + ν M 0.2734 δ R t h 9

Dynamic Modulus Complex Modulus Complex Dynamic Modulus σ ( ) = δ + δ * o E cos i sin ε o 10

Dynamic Modulus σ σ ( ) = + = * o o E cos0 i sin0 ε ε o o 11