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Deflections using Energy Methods - Purdue University

Deflections using Energy MethodsConservation of work and EnergyWork done by external forces on a material point or a structure is converted to internal work and internal stored : (Spring)(Ref Chapter 9)Example: (Trusses)(for conservative systems)(for linearspring)There are multiple (infinitely many) "paths" that the external load can be applied along built up from 0 to P1, P2, P3(as long as all paths satisfy equilibrium at all points on each path).For conservative system of forces, total work done is path independent depends only on the initial and final : (for linear material behavior of truss elements) WorkEnergyMethods Page 1 Example: (Beams)(for linear moment0curvature relationship)Note: External work done by a single forceor a single momenton a linearsystem:Note: External work done by a force or moment in the presence of another existing force or moment: WorkEnergyMethods P

Deflections using Energy Methods Conservation of energy: 9.1 Work and Energy Work done by external forces on a material point or a structure …

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