CMS ECAL Barrel. The Worst Combination of Loads

Linear superposition of responses of a structure to different load cases delivered by linear analysis methods can be used to obtain its response to any linear combination of those load cases. this way extreme response values can be investigated when the magnitudes of the interacting loads ( their load factors) vary within specified ranges. The load factors can be regarded as the co-ordinates of a combined load case in a vectorial load space. In this paper, for the case of correlated load factors in the load space, the Lagrangean Multiplicator method is applied to determine extreme response values and the corresponding load factors. Not only summable response quantities such as components of displacements, stresses, forces and moments, but also the Von Mises stress, the buckling load factor and the modal frequency of a pre-stressed structure are addressed.