STRUCTURAL ANALYSIS. SLOPE DEFLECTION METHOD. SETTLEMENTS.

1. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
cperez.eps@ceu.es
molina.eps@ceu.es

2. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
cperez.eps@ceu.es
molina.eps@ceu.es
LET’S COMPARE THE BEHAVIOUR OF THESE TWO FRAMES
CONSIDERING A 3 cm SETTLEMENT AT B
3 cm settlement 3 cm settlement

3. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
HOW DOES EACH JOINT OF THESE FRAMES MOVE?
3 cm settlement 3 cm settlement
DEGREES OF FREEDOM?

4. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
EFFECT OF THE LOADS APPLIED ALONG THE BARS
M=0

5. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
WE MAKE JOINT D ROTATE AND WE MEASURE THE EFFECT OF THIS ROTATION
M=0

6. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
EFFECT OF THE SETTLEMENT
M=0

7. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
HOW MANY EQUILIBRIUM EQUATIONS?

8. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
HOW MANY EQUILIBRIUM EQUATIONS?

9. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
END MOMENTS

10. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
END MOMENTS

11. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
BENDING MOMENTS DIAGRAM

12. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
SLOPE DEFLECTION METHOD
Inclined support + beam with roller
BENDING MOMENTS DIAGRAM