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Closed form analytical solutions are obtained for the temperature of bare and insulated steel members in one-dimensional geometry in case the outer surface is exposed to standard IS0 834 fire test. The heat transfer from fire gases into the wall is described by a linearized boundary condition. The thermal material parameters are assumed independent of temperature. It is shown that the solution of the approximated equation for insulated steel is closely related with that of bare steel. Temperatures are presented as a one-parameter family of curves. Methods to determine steel temperatures and insulation thicknesses are explained by examples.