This document covers the topics of elastic and plastic structural analysis of grids, including: 1) Elastic analysis methods like the compatibility method and slope deflection method. 2) Plastic analysis of beams, frames using kinematic and incremental methods. 3) Introduction to second order analysis of structures. 4) Examples are shown for elastic analysis of grids using the slope deflection method to determine member forces.

1. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

2. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
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
MARCHADNAPRIL
MAY

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

4. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

5. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

6. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

7. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

8. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
2 EI θO, AB + 0 θO, CD + 3 EI v/8 = 10
0 θO, AB + EI θO, CD + 3 EI v/8 = -100
3 EI θO, AB/8 + 3 EI θO, CD / 8 + 3 EI v/8 = 80
θO, AB = -127,14 / EI = -2,54 mrad
θO, AB = -364 / EI = - 7,29 mrad
vO = 704,76 / EI = 14,09 mm
(it goes down, we get a positive sign because we have considered the intersection
point moves down)

9. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

10. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

11. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
A
O
P B
(-)104,46
(-) 64,465
(-) 10
(+) 10
(+) 648,465
A
O P
B
(-) 214,05
(+) 123,79
(+) 128,79
(+)104,46
(+) 123,79
(-) 214,05

12. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
OC D
(+) 4,465
(-) 50
OC D
(-) 100
(-) 82,14
(+) 4,465

13. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

14. STRUCTURAL ANALYSIS II
CLASS ELASTIC ANALYSIS OF GRIDS
COMPATIBILITY METHOD

15. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
COMPATIBILITY EQUATION

16. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
SLOPE DEFLECTION METHOD

17. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
We do not
need to
know the
value of the
rotation at O
along CO

18. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

19. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

20. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

21. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

22. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

23. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
SHEAR FORCE DIAGRAM

24. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
BENDING MOMENTS DIAGRAM

25. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
CHECK!!
15 + 40 = 27,5+27,5

26. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
2EI2EI 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?

27. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

28. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS

29. STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS