This document covers topics in structural analysis including: 1. Elastic analysis of grids using the compatibility method and slope deflection method. 2. Plastic analysis of beams, frames, and slabs. 3. Introduction to second order analysis of structures. The document provides examples of applying the slope deflection method to analyze grids, including determining degrees of freedom, points of zero moment, drawing shear and moment diagrams, and checking joint equilibrium. It also discusses differences between analyzing determinate and indeterminate grids.

1. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
BEYOND 2D SYSTEMS AND ELASTIC ANALYSIS

2. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
1.- ELASTIC ANALYSIS OF GRIDS
1.1.- COMPATIBILITY METHOD
1.2- SLOPE DEFLECTION METHOD
2.- PLASTIC ANALYSIS OF STRUCTURES
2.1- PLASTIC ANALYSIS OF BEAMS
2.2- PLASTIC ANALYSIS OF FRAMES
2.2.1- KINEMATIC METHOD
2.2.2- INCREMENTAL ANALYSIS. HINGE BY HINGE METHOD
3.- INTRODUCTION TO SECOND ORDER ANALYSIS OF STRUCTURES
2.3- PLASTIC ANALYSIS OF SLABS.
FEBRUARY
MARCH
APRIL

3. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATIBILITY METHOD: EASY TO USE WHEN WE CAN APPLY FORMULAS DIRECTLY

4. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATITILITY METHOD IMPLIES A COMPATIBILITY EQUATION IN WHICH
DISPLACEMENTS ARE INVOLVED

5. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

6. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
WHAT HAPPENS WHEN THE INTERSECTION POINT IS NOT IN THE MIDDLE AND
KNOWN FORMULAS CANNOT BE USED?

7. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
1.- FIXED END MOMENTS: we consider the
effect of the load applied along the bars
SLOPE DEFLECTION METHOD
2.- FREE ENDS ROTATION: we consider the
effect of the joints rotation
3.- JOINTS DISPLACEMENTS: we consider
the effect of the joints displacements
+
+

8. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
UNIT AIM:
UNDERSTANDING WHAT HAPPENS AT THE
JOINT WHERE THE BEAMS INTERSECT
Movements? = Degrees of Freedom
Internal forces? = EQUILIBRIUM

9. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

10. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
PONTS OF M = 0?
WHICH REACTION FORCES ARE BIGGER “A” and “C” or “B” and “D”?

11. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
WE DO NOT CONSIDER THE WHOLE BEAM
WE CONSIDER EACH BAR BETWEEN TWO POINTS

12. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE LOAD

13. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE ROTATION

14. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

15. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE DISPLACEMENTS

16. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

17. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

18. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

19. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
DO THESE RESULTS MAKE SENSE?
NOTICE THE RELATIONSHIP BETWEEN THE VALUES OF THE MOMENTS AT THE FIXED
SUPPORTS

20. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

21. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
JOINT EQUILIBRIUM: THE KEY OF THE SUCCESS
WHY EVERY MOMENT IS 29,63?

22. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

23. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

24. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
2,71 mm
2,71 mm
1,61 mm

25. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
HOW IS THIS GRID GOING TO BEHAVE?
TRY TO DRAW THE DIAGRAMS WITHOUT NUMBERS

26. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
DEGREES OF FREEDOM?
POINTS WHERE THE MOMENT IS 0?

27. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE LOAD

28. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

29. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE ROTATION

30. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

31. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

32. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

33. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

34. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

35. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

36. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

37. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

38. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

39. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

40. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

41. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
JOINT EQUILIBRIUM: THE KEY OF THE SUCCESS
IS IT CORRECT THAT WE THERE ARE TWO DIFFERENT VALUES FOR THE
BENDING MOMENTS?

42. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
ANALYSE THE BEHAVIOR OF THIS GRID

43. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
DEGREES OF FREEDOM? POINTS WHERE THE MOMENT IS ZERO?
IS THERE ANY VALUE OF THE BENDING MOMENTS THAT YOU CAN ALREADY KNOW?

44. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
HOW WOULD THIS GRID CHANGE IF C AND E
WERE PINNED INSTEAD OF FIXED SUPPORTED?

45. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
DEGREES OF FREEDOM? POINTS WHERE THE MOMENT IS ZERO?
IS THERE ANY VALUE OF THE BENDING MOMENTS THAT YOU CAN ALREADY KNOW?

46. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

47. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

48. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

49. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

50. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

51. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

52. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

53. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

54. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

55. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATIBILITY METHOD

56. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATIBILITY EQUATION

57. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
SLOPE DEFLECTION METHOD

58. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
We do not
need to
know the
value of the
rotation at O
along CO

59. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

60. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

61. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

62. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

63. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

64. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
SHEAR FORCE DIAGRAM

65. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
BENDING MOMENTS DIAGRAM

66. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
CHECK!!
15 + 40 = 27,5+27,5

67. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
2EI
2EI 2EI
A
B
P
criterio de
signos
D
q
EI
EI
C
O
DEGREES OF FREEDOM? POINTS WHERE THE MOMENT IS ZERO?
IS THERE ANY VALUE OF THE BENDING MOMENTS THAT YOU CAN ALREADY KNOW?

68. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION

69. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
ASSIGNMENT 1 year 20/21

70. STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
WHAT’S THE MAIN DIFFERENT BETWEEN THESE TWO FRAMES?
WHICH ONE IS EASIER TO ANALYZE? WHY?