Civil and Environmental Engineering 3340A/B Lecture Notes - Lecture 22: Moment Distribution Method

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Goal is to determine the relationships b/w the member end forces and member end displacements. We"re gonna look at each of these member ends, induce a unit displacement, and measure the resulting member end forces. Those forces being (in this analysis) an axial force, a shear force, and a moment. First subscript refers to the location of the force. The last two are more useful since: they can be used for both determinate and indeterminate structures. When we"re going through the above methods, there are certain commonalities that we are always using when we go through the process. Thus, we make use of these connection in developping matrix analysis, which is basically a way of more efficiently doing both of these things in computers. F = force vectors representing loads applied to structures. The actual structure is presented as an analytical model. Member (element) - a part of the structure for which the member force-displacement relations are valid.

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