A method of analysis has been developed to simulate the behaviour
of composite floors exposed to fire. The governing differential
equation, based on the orthotropic plate theory, is solved by the
finite difference method.The solution requires the calculation of
plate rigidities as influenced by the thermo-mechanical properties
of the materials. This is achieved by first calculating the
temperature distribution in the floor. Numerical integration of
stresses calculated from non-thermal strains, compatible with the
appropriate temperature dependent stress-strain relations, enables
determination of the stress-resultants (moments and forces).
Equilibrium of in-plane forces is satisfied first. The resulting
moments and curvatures enable the plate rigidities to be
determined. For each stage of fire, starting with ambient
conditions a small number of iterations are required to achieve
equilibrium. The response of the structure, in terms of
deflections, is repeatedly calculated as the fire develops. This
defines the fire duration. The method has been validated through
comparison with a number of published fire test results.
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