Ae2_22_1_compatibility_grids

STRUCTURAL ANALYSIS II
INTRODUCTION
BEYOND 2D AND ELASTIC ANALYSIS

INTRODUCTION
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

INTRODUCTION
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
T1 22nd FEBRUARY
GRID QUESTIONS
18TH FEBRUARY
T2 22nd MARCH
T3 5TH APRIL
FRAMES BATTLE
8TH MARCH
GRIDS COMPETITION
8TH APRIL

INTRODUCTION
GLOBAL I 22nd APRIL
GLOBAL II 6th MAY

INTRODUCTION
T1 22nd FEBRUARY
T2 22nd MARCH
T3 5th APRIL
GRID QUESTIONS + FRAMES BATTLE
18TH FEBRUARY + 8th MARCH
GLOBAL I 22nd APRIL
GLOBAL II 6th MAY
*The one you do best will
be considered 70% of the
global I + II average
ASSIGNMENTS
22nd February, 22nd March, 5th April
GRIDS COMPETITION
8TH APRIL

INTRODUCTION
TO REMEMBER
EXTERNAL LOAD, REACTION FORCES?
BENDING MOMENTS, SHEAR FORCE, AXIAL FORCE DIAGRAMS?
HOW does BENDING STIFFNESS and
AXIAL STIFFNESS affect LOAD DISTRIBUTION?
LOAD SHOULD ALWAYS REACH THE GROUND
DEFORMED SHAPE?
EQUILIBRIUM?
UNSTABLE, STATICALLY DETERMINATE, STATICALLY INDETERMINATE?

ELASTIC ANALYSIS OF GRIDS. COMPATIBILITY

UNIT AIM:
UNDERSTANDING HOW THE LOAD IS
DISTRIBUTED IN A GRID SYSTEM
REMEMBER: LOAD SHOULD ALWAYS
REACH THE GROUND

A grid is a planar structural system composed of continuous members that
intersect each other. The applied loads are perpendicular to the grid plane.

INTERNAL FORCES?

AXIAL FORCE DIAGRAM? SHEAR FORCE DIAGRAM YZ? SHEAR FORCE DIAGRAM XZ?
BENDING MOMENT Y? BENDING MOMENT X? TORQUE DIAGRAM (TORSION)?

AXIAL FORCE DIAGRAM? SHEAR FORCE DIAGRAM YZ? SHEAR FORCE DIAGRAM XZ?
BENDING MOMENT Y? BENDING MOMENT X? TORQUE DIAGRAM (TORSION)?
Torque

TANGENCIAL STRESS DISTRIBUTION (PRODUCED BY TORSION)

WHICH CROSS SECTIONS ARE MORE EFFECTIVE TO RESIST TORSION?

WHAT DO YOU THINK IS HAPPENING IN THESE GRIDS?
WHICH REACTION FORCES ARE BIGGER?

WHAT DO YOU THINK IS HAPPENING IN THESE GRIDS?
WHICH REACTION FORCES ARE HIGHER?

HOW CAN WE CALCULATE THE PART OF THE LOAD THAT TRAVELS THROUGH EACH BEAM?

COMPATIBILITY METHOD

CONCLUSION:
A GRID IS EFFECTIVE WHEN
THE BENDING STIFFNESS OF BOTH BEAMS
IS SIMILAR

CAN YOU GUESS WHICH BEAM IS SUPPORTING THE OTHER?

TO APPLY THE EXPRESSIONS OF THE SIMPLE BEAMS WE CAN REMOVE THE
CANTILEVER AND CONSIDER ITS EFFECT OVER THE BEAM AB

COMPATIBILITY EQUATION

ONCE WE KNOW THE VALUE OF R WE SHOULD CHECK! IF IT IS CORRECT

ONCE WE KNOW THE VALUE OF R WE CAN DRAW THE DIAGRAMS

ASSIGNMENT 1 year 21/22

Ae2_22_1_compatibility_grids

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