The document discusses the fundamentals of mathematics in architecture and geometry. It covers topics like the Maxwell-Cremona method for determining internal forces in bars, reciprocal diagrams of external forces, and step-by-step processes for constructing reciprocal diagrams. Examples are provided throughout to illustrate these concepts. The document also references architectural works like the Villa La Mediterranee designed by Stefano Boeri and the Thomson Optronics Factory built by Renzo Piano.
3. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
PREVIOUSLY ON MATHS 1...
4. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
MAXWELL-CREMONA
EXAMPLE 11. INTERNAL FORCES IN BARS. MAXWELL-CREMONA METHOD
EXAMPLE 12. INTERNAL FORCES IN BARS. MAXWELL-CREMONA METHOD
Based on the studies of James Clerk Maxwell and Luigi Cremona.
Second part of XIX century
EXAMPLE 13. INTERNAL FORCES IN BARS. MAXWELL-CREMONA METHOD
5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
FIRST MINUTE QUESTION
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6. FIRST MINUTE QUESTION
Which of these sentences is true?
Bars BC and CD should be negative
A
B
C
D All the signs are correct
Bar CG is not zero
The signs of all the bars on the right part of the truss,
should be opposite (CF negative, GF positive...)
12. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Villa La Mediterranee - Marsella - 2013 - [Stefano Boeri]
13. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM OF EXTERNAL FORCES
14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM OF EXTERNAL FORCES
15. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
16. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
21. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
RECIPROCAL DIAGRAM STEP BY STEP
25. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Today’s words?
26. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Thomson Optronics Factory, designed and built in Paris by Renzo Piano
between 1988 and 1990