MnPAVE Validation: Comparison of MnROAD HMA Modulus Values
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1 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
2 loge = a a 6 a Witczak Equation 1 + p 200 a 7 p + 4 a + 2 a ( p ) 8 1+ e p / 8 2 ( p ) 3 / 8 ( a + a logf + a 2logη ) a a 9 3 p a V 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
3 Thompson (ILLI-PAVE) Equation log Where: AREA E + AC = log D0 2D AREA = 6 1+ D 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 D D 3 0 AREA TAC
4 2000 Cell 33 Modulus Comparison Modulus (ksi),000 0 Thompson EVERCALC ELMOD Witczak 4.04 PG Superpave
5 2000 Cell 34 Modulus Comparison Modulus (ksi),000 0 Thompson EVERCALC Witczak 3.92 PG Superpave
6 2000 Cell 35 Modulus Comparison,000 Thompson EVERCALC Witczak Modulus (ksi) PG Superpave
7 ,000 Cell 1 Modulus Comparison /150 Pen. (PG 58-28)
8 ,000 Cell 2 Modulus Comparison /150 Pen. (PG 58-28)
9 ,000 Cell 3 Modulus Comparison /150 Pen. (PG 58-28)
10 ,000 Cell 4 Modulus Comparison /150 Pen. (PG 58-28) Full Depth
11 ,000 Cell 14 Modulus Comparison /150 Pen. (PG 58-28) Full Depth
12 ,000 Cell 15 Modulus Comparison AC 20 (PG 64-22) Full Depth
13 ,000 Cell 16 Modulus Comparison AC 20 (PG 64-22)
14 ,000 Cell 17 Modulus Comparison AC 20 (PG 64-22)
15 ,000 Cell 18 Modulus Comparison AC 20 (PG 64-22)
16 ,000 Cell 19 Modulus Comparison AC 20 (PG 64-22)
17 ,000 Cell 20 Modulus Comparison /150 Pen. (PG 58-28)
18 ,000 Cell 21 Modulus Comparison /150 Pen. (PG 58-28)
19 ,000 Cell 22 Modulus Comparison /150 Pen. (PG 58-28)
20 ,000 Cell 23 Modulus Comparison /150 Pen. (PG 58-28) Over PASB
21 ,000 Cell 24 Modulus Comparison /150 Pen. (PG 58-28)
22 ,000 Cell 25 Modulus Comparison /150 Pen. (PG 58-28) Full Depth
23 ,000 Cell 26 Modulus Comparison /150 Pen. (PG 58-28) Full Depth Witczak
24 ,000 Cell 27 Modulus Comparison /150 Pen. (PG 58-28) 0 Witczak
25 ,000 Cell 28 Modulus Comparison /150 Pen. (PG 58-28) 0 Witczak
26 ,000 0 Cell 29 Modulus Comparison /150 Pen. (PG 58-28)
27 ,000 0 Cell 30 Modulus Comparison /150 Pen. (PG 58-28)
28 ,000 Cell 31 Modulus Comparison Witczak /150 Pen. (PG 58-28)
29 ,000 Cell 33 Modulus Comparison Witczak PG Superpave
30 ,000 Cell 34 Modulus Comparison Witczak PG Superpave
31 ,000 Cell 35 Modulus Comparison Witczak PG Superpave
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