MnPAVE Validation: Comparison of MnROAD HMA Modulus Values

MnPAVE Validation: Comparison of MnROAD HMA Modulus Values Witczak (Design Guide) Equation, Thompson (ILLI-PAVE) Equation, Backcalculation by EVERCALC and ELMOD Bruce Tanquist, P.E. Minnesota Department of Transportation June 20, 2005

loge = a 0 + + a 6 a Witczak Equation 1 + p 200 a 7 p + 4 a + 2 a ( p ) 8 1+ e p 200 3 / 8 2 ( p ) 3 / 8 ( a + a logf + a 2logη ) 11 12 + + a a 9 3 p 13 4 + a V 2 4 + a a + p a 5 3 / 4 V V beff beff + V Where: E = -5 x Dynamic Modulus (psi) f = Load frequency (Hz) η = -8 x Dynamic Viscosity (cp) V beff = Effective binder content (% by vol.) P b = binder content (% by wt. of mix) p 3/4 = Cumulative % retained on 3/4 sieve V a = Air voids (% by volume) p 3/8 = Cumulative % retained on 3/8 sieve P ba = Absorption (% by wt. of aggregate) p 4 = Cumulative % retained on No. 4 sieve G b = specific gravity of binder p 200 = Percent passing No. 200 sieve G sb = Bulk specific gravity of aggregate a

Thompson (ILLI-PAVE) Equation log Where: AREA E + AC = 1.48 1.76 log 0. 26 D0 2D AREA = 6 1+ D0 + 1 2 D D E AC = Modulus of the HMA layer (ksi) T AC = Temperature of the HMA layer ( F) D 0 = Deflection at center of load (mils) D 1 = Deflection at 12 in. (305 mm) from center of load D 2 = Deflection at 24 in. (6 mm) from center of load D 3 = Deflection at 36 in. (914 mm) from center of load 0 2 + D D 3 0 AREA TAC

2000 Cell 33 Modulus Comparison Modulus (ksi),000 0 Thompson EVERCALC ELMOD Witczak 4.04 PG 58-28 Superpave 20 30 40 50 60 70 80 90 0 1 120

2000 Cell 34 Modulus Comparison Modulus (ksi),000 0 Thompson EVERCALC Witczak 3.92 PG 58-34 Superpave 20 30 40 50 60 70 80 90 0 1 120

2000 Cell 35 Modulus Comparison,000 Thompson EVERCALC Witczak Modulus (ksi) 0 3.96 PG 58-40 Superpave 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 1 Modulus Comparison 1994-2003 5.9 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 2 Modulus Comparison 1994-2003 6.1 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 3 Modulus Comparison 1994-2003 6.3 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 4 Modulus Comparison 1994-2003 9.1 120/150 Pen. (PG 58-28) Full Depth 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 14 Modulus Comparison 1994-2003.9 120/150 Pen. (PG 58-28) Full Depth 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 15 Modulus Comparison 1994-2003 11.1 AC 20 (PG 64-22) Full Depth 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 16 Modulus Comparison 1994-2003 8.0 AC 20 (PG 64-22) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 17 Modulus Comparison 1994-2003 7.9 AC 20 (PG 64-22) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 18 Modulus Comparison 1994-2003 7.9 AC 20 (PG 64-22) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 19 Modulus Comparison 1994-2003 7.8 AC 20 (PG 64-22) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 20 Modulus Comparison 1994-2003 7.8 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 21 Modulus Comparison 1994-2003 7.9 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 22 Modulus Comparison 1994-2003 7.9 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 23 Modulus Comparison 1994-2003 9.2 120/150 Pen. (PG 58-28) Over PASB 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 24 Modulus Comparison 1994-2003 3.1 120/150 Pen. (PG 58-28) 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 25 Modulus Comparison 1994-2003 5.2 120/150 Pen. (PG 58-28) Full Depth 0 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 26 Modulus Comparison 1994-2000 5.9 120/150 Pen. (PG 58-28) Full Depth 0 1997 1998 1999 2000 Witczak 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 27 Modulus Comparison 1994-1999 3.3 120/150 Pen. (PG 58-28) 0 Witczak 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 28 Modulus Comparison 1994-1999 3.2 120/150 Pen. (PG 58-28) 0 Witczak 20 30 40 50 60 70 80 90 0 1 120

,000 0 Cell 29 Modulus Comparison 1994-2003 5.1 120/150 Pen. (PG 58-28) 20 30 40 50 60 70 80 90 0 1 120

,000 0 Cell 30 Modulus Comparison 1994-2003 5.1 120/150 Pen. (PG 58-28) 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 31 Modulus Comparison 1994-2001 2000 2001 Witczak 0 3.3 120/150 Pen. (PG 58-28) 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 33 Modulus Comparison 2000-2002 Witczak 0 4.04 PG 58-28 Superpave 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 34 Modulus Comparison 2000-2002 Witczak 0 3.92 PG 58-34 Superpave 20 30 40 50 60 70 80 90 0 1 120

,000 Cell 35 Modulus Comparison 2000-2002 Witczak 0 3.96 PG 58-40 Superpave 20 30 40 50 60 70 80 90 0 1 120