Class 9_ae2_slabs

STRUCTURAL ANALYSIS II
PLASTIC ANALYSIS OF SLABS
SLAB: Structural element contained in a plane (the third
dimension is much smaller than the other two).
The load direction is perpendicular to the structure plane

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

YIELD LINES: líneas de rotura (plástica)
YIELD LINES = ROTATION LINE
YIELD LINES METHOD

ASSUMPTION: YIELD LINES = BISECTRICES

YIELD LINES: BISECTRICES
YIELD LINES CAN BE POSSITIVE OR NEGATIVE

VERY IMPORTANT: DRAW THE CROSS SECTION!!!!
Based in the VIRTUAL WORK PRINCIPLE: Wext = Wint

YIELD LINES: BISECTRICES
YIELD LINES CAN BE POSSITIVE OR NEGATIVE
1.- Yield lines divide the slab into rigid regions which remain plane through the
collapse;
2.- Yield lines are straight;
3.- Axes of rotation generally lie along line of supports and pass over columns;
4.- Yield lines between adjacent rigid regions must pass through the intersection point
of the axes of rotation of those regions;
5.- Yield lines must end at a slab boundary;
6.- Continuous supports repel and a simple support attract yield lines.

VIRTUAL WORK PRINCIPLE: EXTERNAL WORK = INTERNAL WORK

BISECTRICES = YIELD LINE IS AN ASSUMPTION ACCURATE ENOUGH

THE SLAB BREAKS FALLING OUTSIDE

THE SLAB BREAKS FALLING INSIDE

THE SLAB INSIDE THE WALLS BREAK

THE WHOLE CANTILEVER BREAKS

PART OF THE SLAB IN CANTILEVER BREAKS

SLAB OF ASSIGNMENT 6

Class 9_ae2_slabs

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Class 9_ae2_slabs