Russmech,
We have developed a computer program, called HADCRT, for analysis of multi-compartment buildings, and we are currently using the program at the DOE Hanford site in Washington State for HVAC, hazards, and fire safety analysis. An integral part of the computer program is the calculation of temperature profiles in the building materials. HADCRT is capable of providing the transient and steady state temperature profiles you described. In addition, we spend 50% of our time in the Northwest at the Hanford site, so we should be accessible to you.
Finally, HADCRT has been developed under our quality assurance program which includes an extensive validation process and we are currently involved in an international building fire benchmarking effort co-sponsored by the U.S. NIST.
If you would like more information, feel free to contact me at TREMOLO@fauske.com
Thank you.