In typical virtual work analysis, we usually only have one virtual force, but this is equation is also valid for if we have multiple virtual forces, each being paired with its own real deflection at the location of that force.
For the example beam shown in Figure 8.19, we must select two different redundant forces because the beam is $$ is the external virtual force $i$. Filename: KalaniBook. The flexibility method for analyzing the statically indeterminate bar may be summarized as follows. OctoA-1-2/4 Consider the effect of the load P on the displacement of point A in the released structure. case of slope deflection method as shown in figure 15.10. The structure that remains after releasing the redundant is called the released structure or the primary structure.
In force method ,theunknown redundant forces are determined first by solving the structure’s compatibility equations then other response chtitiharacteristics of the structure are evaluated by equilibrium equations or superposition. This is because, for a force method analysis, our primary system must be determinate (i.e the beam with the redundant restraints removed). The basic methods of structural analysis are flexibility and stiffness methods. Previously we have discussed Force/Flexibility methods of analysis of statically indeterminate structures. Figure 8.19: Force Method for Structures with Multiple Degrees of Indeterminacyįor every degree of indeterminacy, we must have a redundant force (internal or external).
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