The evaluation problem of complex multiple-unit structures fire-resistance and solidity under the fire influence is considered. The problem is reduced to the structure temperature fields mechanical behavior calculation under the normative loads with the fire damage taken into account. Mathematical modeling numerical methods are used for the received boundary value problems solving. The methodic realization principles as the universal program package tunable to different kinds of physical properties are considered. The monorail station bearing structure critical temperature calculation is given as an example of the methodic realization.