Beams
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Three examples of statically indeterminate beams are shown beside. In this case compatibility conditions have to be used for finding out the reactions. In the first beam, left support can offer horizontal and vertical reactions, middle support can offer only a vertical reaction and the right support can offer only a vertical reaction. Thus, there are 4 unknowns and three equations of equilibrium for a plane. Thus, to solve for support reactions, one compatibitity equation has to be used. Similarly, in the second beam which is also called propped cantilever beam, there are 4 unknown support reactions to be determined. Here, the left support offers vertical and horizontal reactions as well as a moment reaction. The right support offers a vertical reaction. In the third beam, six unknowns have to be determined. Each support is capable of offering a vertical and horizontal reactions and a moment. |
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