When in operation, a significant part of metal structures is exposed to aggressive media, causing the damage and failure of construction sites. This paper reviewed the well-known mathematical models and calculation methods of multielement metal structures, exposed to corrosive wear. Also, this paper described the solution approaches of stress-strain state and a life time evaluation of multielement rod structures. The finite element method is used for the solution of stress-strain state evaluation; the advantages of this method are also described. This paper proposes the statements of problems and solution algorithms of life time calculation of multielement rod structures, such as statically indeterminate trusses operating in the aggressive medium. This paper considered the most common corrosion wear case, where the corrosion rate is a stress function. The proposed solution methods involve the use of mathematical models and analytical formulas.