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1. Beams and Frames

3. One Dimensional Problems Variable can be scalar field like temperature, or vector field like displacement . For dynamic loading, the variable can be time dependent The geometry of the problem is three dimensional, but the variation of variable is one dimensional

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11. Equivalent nodal force due to Uniformly distributed load w

12. v 1 v 2 v 3  1  2  3 v 4 v 3

19. Member end forces 70 70 70 139.6 46.53 46.53 139.6 0

21. v 1 v 2 v 3  1  2  3 v 1  1 v 2  2 v 2  2 v 3  3

23. 1285.92 428.64 1285.92 857.28 6856.8 5143.2 856.96 0

24. Find slope at joint 2 and deflection at joint 3. Also find member end forces Global coordinates Fixed end reactions (FERs) Action/loads at global coordinates

32. q xi’ f i q xj’ f j Grid Elements

36. Beam element for 3D analysis