ABSTRACT The Murchison structure is barge-launched steel drilling and production platform which is to be floated out in Spring 1979 and installed in the Northern North Sea in 156m of water. In the past, offshore steel structures have been designed on the basis of an extreme static design load. Subsequently, the completed design has been checked for dynamic amplification and fatigue life. As structures are designed for deeper waters, from 150m depth their natural periods become longer and dynamic excitation can have a profound effect on the stress levels achieved in all wave- conditions. In order to meet the design requirements for dynamic and fatigue analysis a new suite of computer programs called FATJACK has been developed which embodies several innovations in the analysis of steel structures. The whole system is centered on the Atkins Stress Analysis System (ASAS). It uses the subspace iteration technique to handle very large eigen-vector extractions which are necessary if the structure is to be modeled with sufficient accuracy to find the dynamic stress levels in the smaller diameter members. This is followed by a deterministic analysis using a steady-state response to relate the climatic conditions to the dynamic response and hence fatigue life duration. The application of this program to the Murchison structure is described in detail. For example, the extraction of 25 eigen-vectors from an uncondensed structural idealisation shows significant low frequencies in the conductor tube bracing which have previously been undetected and this could explain the relatively high failure rates of this type of structural component found in the platforms of the Southern North Sea. In addition, a transient analysis using a Newmark-ß integration scheme has been undertaken to establish the dynamic amplification factors by comparison with the base reactions and deck level deflections for corresponding static load cases. INTRODUCTION The escalating demand for hydrocarbon fuels has necessitated the exploration and development of offshore fields in ever increasing water depths. The enormous size of the steel structures required for these depths has lead to a new breed of problem and, in particular, the fatigue and dynamic response of such structures has become increasingly important. Experience in the North Sea has shown that some structures are more prone to fatigue damage from small, low period waves rather than overload failures due to the long period storm waves. In previous static analyses of offshore platforms the environmental conditions specified for extreme loading and fatigue life calculations have been related but different. In the case of the extreme '100 year' storm condition a theoretical design-life wave, with a specified height and period, is applied to the structure at a point in time usually chosen by reference to the maximum mud-line horizontal shear force or overturning moment. It is arbitrarily assumed that this criterion will define the worst load case for all members and joints. In addition the design-life current is applied to the structure simultaneously to give a combined maximum load condition.