Civil and Environmental Engineering 2221A/B Lecture Notes - Lecture 15: Virtual Work
1 Mar 2019
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Document Summary
The moment-area theorem is a great way for us to determine the deflection of a beam, however it has the drawback that it will not work with: Deflection of beams undergoing no load, but rather a temperature differential. There are various methods that have been devised that we use in this case. Some include, the virtual work principle and castigliano"s second theorem. These are more general than the geometric methods we looked at before, so they work. Conservation of energy principle: the work done by all external forces acting on a structure, u e, is transformed into internal work or strain energy, ui which is developed when the structure deforms. "if the system is in vacuum, conservation of energy says that energy cannot be created or destroyed. So all energy due to the loads must be transformed into this new form, ui. " The magnitude of the force f gradually increases from zero to a maximum value p.
