5003 Lectures - Faculty of Engineering and Applied Science

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E5003 - Ship Structures I 130 © C.G. Daley Steps in the Moment-Distribution Method The steps in the MDM are shown on the left. The steps are discussed in more detail below. Step 1: sketch the structure: Sketch the structure, show the loads and number the joints. In the case of two or more members connected at a joint, there is one 'end' for each beam. Any correcting moment applied to the joint is divided among the ends according to the moment distribution factor.
E5003 - Ship Structures I 131 © C.G. Daley Step 2: plan the solution strategy and determine if the structure will sway In the standard type of problem the joints do not translate, they only rotate. Axial and shear deformations are ignored. Only bending deformations are considered. If the model supports permit one or more joints to translate, and the load is such that it will cause such a movement, we need to consider sway. The example structures at the left show both types (no-sway and sway). Note: And 'imposed' joint movement, as would occur when a support 'settles' a fixed amount, is not a sway problem. Imposed movements are just as easy to solve as are applied loads. In cases where there are redundant parts of the structure (a determinant sub-structure), such as cantilever portions as shown at left, these should be removed and replaced with the moments or forces that they cause on the remaining structure. Step 3: Find moment distribution factors α : For each joint we find the set of moment distribution factors. In general;
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5003 Lectures - Faculty of Engineering and Applied Science

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