APPLIED MATHEMATICS
 
Lectured in 4th year BuildingSection land building
Theory [A] 25.0
Exercises [B] 0.0
Training and projects [C] 0.0
Studytime [D] 80
Studypoints [E] 3
Level  
Language of instruction Dutch
Lecturer Frank VANDEDRINCK
Reference IIBOUW04A03837
 
Key words


Objectives
Translation of constructional stability problems into mathematical models,
to be programmed easily and allowing the design of complex structures.


Topics
1. Introduction
Summary of calculation methods available to study the distribution of force
and the deformation of hyperstatic structures; Castigliano and Menabrea;
adjustment techniques; Gehler; deformation work; analogies of Mohr and Green
2. Transference method
Single and continuous girders;
Vector of state; matrices for zones, nodes, fields and girder ; influence
lines ; hinge points ; spring supports and spring beds ; curvilinear girders
3. Displacement method
Frameworks, plane frames and space frames, grid structures;
Degrees of freedom;
Displacement vector and bar force vector;
Matrices for transformation, rigidity and equilibrium;
Principal equation; arithmetical processes; nodal numbering; load
application outside the node(s).
4. Finite Element Analysis
Basic principles ; elements.


Prerequisites


Final Objectives


Materials used
Teacher's course


Study costs


Study guidance


Teaching Methods
Lectures (theory + illustrative exercises)


Assessment
Theory (oral examination) : 100÷


Lecturer(s)
Frank VANDEDRINCK