Concrete Maturity and Equivalent Age (ASTM C1074)
The temperature-honest cure schedule: the Nurse-Saul time-temperature factor (Ta - T0) x hours in deg C-hr.
Example
You enter
- Average concrete temperature (°F) 50
- Elapsed curing time (hours) 168
- Datum temperature T0 (°F) 32
- Arrhenius constant Q (K) 5000
- Reference temperature Tr (°F) 68
- Target TTF (°C-hr, 0 = none) 1600
You get
- Maturity index (TTF) 1680 deg C-hr
- TTF in F-hr 3024 deg F-hr
- Te hours 91.9821
- Te (days) 3.83259
- Target hours 160
Details, formula, and sources
The Arrhenius equivalent age at a 68 F reference, and the hours remaining to the mix's lab-calibrated TTF target. A 50 F week accrues 1,680 C-hr and reads as only 3.8 equivalent days - the cold slab is not '7 days old' - while three days at 90 F carry nearly six days of equivalent age. Datum 0 C and Q = 5000 K for Type I without admixtures, both editable. The strength a TTF represents comes only from the C1074 lab calibration of the actual mix; supplements, not replaces, acceptance cylinders.
M = (Ta - T0) x hours in deg C-hr (Nurse-Saul, one constant-temperature interval); te = exp(-Q x (1/(Ta+273.15) - 1/(Tr+273.15))) x hours (Arrhenius equivalent age, kelvin); target_hours = target_TTF / (Ta - T0) when a calibrated target is given.
ASTM C1074 (Standard Practice for Estimating Concrete Strength by the Maturity Method), by name; both maturity functions with their recommended Type I no-admixture constants.
The Nurse-Saul and Arrhenius maturity functions and the recommended constants are stated in ASTM C1074 and reproduced across the public maturity literature (NRMCA CIP 39); the arithmetic is public.
Estimate. AHJ and licensed professional govern.
Field names used by the API: concrete_temp_f, hours, datum_f, q_kelvin, ref_temp_f, target_ttf_c, M_c, M_f, te_hours, te_days, target_hours
- Datum and Q T0 = 0 C and Q = 5000 K are the C1074 recommendations for Type I cement without admixtures; other mixes calibrate their ownASTM C1074
- Single interval one average temperature over the period; a logged history sums interval by intervalASTM C1074
- Calibration governs TTF maps to strength only through the lab curve for the actual mix; acceptance cylinders are not replacedNRMCA CIP 39