Multiply Redundant Structures - Page 1 of 5 Multiply Redundant Structures Objectives:1. Set up the coordinate systems for virtual work in a beam 2. Calculate the moment equations for sections of a beam 3. Integrate using the Virtual work formulas to get displacements 4. Calculate the reactions for a multiple-degree indeterminate beam structure For each redundant, there is a compatibility equation and an un-known force. The end result is a set of simultaneous equations. Multiply Redundant Structure Example Given the structure in the figure, find the reactions. Step 1) is to form the determinate base structure. The structure chosen is: We can label the applied loads as case 0. The unit loads applied to the removed redundants for Step 3) are labeled case 1 and 2. Load case 1 and 2 are also the virtual load cases.
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