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Eng. 6002 Ship Structures 1 Hull Girder Response Analysis
Lecture 10: Review of Indeterminate Beams (Displacement method)
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Overview The direct displacement method is another technique that can be used to analyze indeterminate structures. This method can be generalized and is commonly used in structural analysis software. In this method, all degrees of freedom of a structure are restrained, i.e. "locked", and the fixed end forces are calculated due to any applied loads on the member.
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Overview As in moment distribution, each degree of freedom is then independently released, i.e."un-locked", and the member end forces are determined due to an application of a unit displacement that corresponds to each degree of freedom. This displacement can either be a rotation or a translation. The actual member end forces are then calculated by satisfying equilibrium conditions at each of the degrees of freedom.
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Example We will start by considering an example.
For the indeterminate beam shown, find MA, RA, and RB
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