Placement T (Tab A): ACI 305R-10 Appendix A specific-heat-ratio formula T = (0.22·(T_ag·M_ag + T_c·M_c) + T_w·M_w + T_wa·M_wa − M_ice·79.7) / (0.22·(M_ag + M_c) + M_w + M_wa − M_ice). The 0.22 is the ratio of cement+aggregate specific heat to water. Cooling mixing water or substituting crushed ice pulls placement T down fastest.
Adiabatic rise (Tab B): Single-exponential T(t) = T_ult × retention × (1 − e−α·t). T_ult derives from total heat of hydration (OPC ~90, fly ash ~45, GGBS ~60 kcal/kg binder) divided by heat capacity of concrete (~2.30 kJ/K per m³). The retention factor and α rate constant depend on element thickness (heat loss to ambient).
Limits cited: ACI 305R placement T ≤ 35 °C; IS 7861-1 Cl 2.1 placement T ≤ 40 °C; ACI 207.2R §5.6 + ACI 207.2R peak T ≤ 70 °C and core-vs-surface ΔT ≤ 20 °C for mass concrete.