The design procedures currently applied in dimensioning of structural and load-bearing components of conveyances do not specify their safe service life, instead they are based on safety factors related to static loads. In order to solve this problem and to work out verified relationships to find the fatigue endurance of structural elements of conveyances in the function of service time and the type of conveyance it is required that that the values of all applied loads be considered in the function of time and in the normal operating conditions. This study, compiling the results of research work undertaken at the Department of Strength of Materials and Structures AGH-UST, provides analytical formulas verified experimentally on real objects, yielding: maximal loads experienced by the conveyance suspensions and hoisting ropes during the start-up of a fully loaded conveyance moving from the bottom station; maximal loads experienced by the conveyance suspensions and hoisting ropes during the braking of a fully loaded conveyance approaching the top station; loads in the guiding system (skip head- shalt steelwork; skip lower frame- shaft steelwork) during the skip travel at the fixed speed V(0).