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STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
BEYOND 2D SYSTEMS AND ELASTIC ANALYSIS
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
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATIBILITY METHOD: EASY TO USE WHEN WE CAN APPLY FORMULAS DIRECTLY
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATITILITY METHOD IMPLIES A COMPATIBILITY EQUATION IN WHICH
DISPLACEMENTS ARE INVOLVED
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
WHAT HAPPENS WHEN THE INTERSECTION POINT IS NOT IN THE MIDDLE AND
KNOWN FORMULAS CANNOT BE USED?
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
+
+
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
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
PONTS OF M = 0?
WHICH REACTION FORCES ARE BIGGER “A” and “C” or “B” and “D”?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
WE DO NOT CONSIDER THE WHOLE BEAM
WE CONSIDER EACH BAR BETWEEN TWO POINTS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE LOAD
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE ROTATION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE DISPLACEMENTS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
DO THESE RESULTS MAKE SENSE?
NOTICE THE RELATIONSHIP BETWEEN THE VALUES OF THE MOMENTS AT THE FIXED
SUPPORTS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
JOINT EQUILIBRIUM: THE KEY OF THE SUCCESS
WHY EVERY MOMENT IS 29,63?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
2,71 mm
2,71 mm
1,61 mm
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
HOW IS THIS GRID GOING TO BEHAVE?
TRY TO DRAW THE DIAGRAMS WITHOUT NUMBERS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
DEGREES OF FREEDOM?
POINTS WHERE THE MOMENT IS 0?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE LOAD
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
EFFECT OF THE ROTATION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
ELASTIC ANALYSIS OF GRIDS
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
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?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
ANALYSE THE BEHAVIOR OF THIS GRID
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?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
HOW WOULD THIS GRID CHANGE IF C AND E
WERE PINNED INSTEAD OF FIXED SUPPORTED?
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?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATIBILITY METHOD
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
COMPATIBILITY EQUATION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
SLOPE DEFLECTION METHOD
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
We do not
need to
know the
value of the
rotation at O
along CO
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
SHEAR FORCE DIAGRAM
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
BENDING MOMENTS DIAGRAM
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
CHECK!!
15 + 40 = 27,5+27,5
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
WHAT’S THE MAIN DIFFERENT BETWEEN THESE TWO FRAMES?
WHICH ONE IS EASIER TO ANALYZE? WHY?
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?
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
ASSIGNMENT 1 year 20/21
STRUCTURAL ANALYSIS II
GRIDS. SLOPE-DEFLECTION
ASSIGNMENT 1 year 21/22

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