3.6.1 By carrying out finite element calculations,
the histories over time of the heat transmission within the structural
assembly are computed and the temperature is compared with the temperature
experienced by the assembly represented in the standard fire test.
3.6.2 Based on suitable data for the temperature-dependent
variables, an iterative procedure is used for the evaluation of thermal-mechanic
properties.
3.6.3 The thermal boundary conditions of convecting
and radiative type are:
and
where:
| qc and
qr :
|
Convective and radiative heat flux,
respectively
|
| hc :
|
Convective heat transfer
coefficient
|
| σ:
|
Stefan-Boltzmann constant
|
| ∊:
|
Emissivity coefficient
|
| Ts
|
Surface temperature
|
| T∞
|
Furnace or ambient
temperature.
|
3.6.4 The two equations can be included in an
equivalent boundary condition:
where:
the equivalent coefficient Heq depends
on the unknown surface temperature. However, it can be calculated
as part of the finite element analysis using an emissivity coefficient
appropriately calibrated with the fire test results.
3.6.5 The equivalent heat transfer coefficient
can be assumed to be constant on the single exposed surface, as the
furnace assembly built in accordance with the FTP Code gives uniformity
of the temperature and heat flux within the furnace.
3.6.6 Alternatively, the temperature distribution
measured on the specimen of the standard fire test can be directly
applied on the finite element structural model taking into account
the same time histories.