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FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
FUNDAMENTALS OF MATHEMATICS I
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
PREVIOUSLY ON MATHS 1...
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
GEOMETRY: VECTORS
EXAMPLE 2. INTERNAL FORCES IN BARS. JOINTS METHOD
EXAMPLE 3. INTERNAL FORCES IN BARS. JOINTS METHOD
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
FIRST MINUTE QUESTION
Username: First part of your CEU email
For example:
if your email is a.garcia245@uspceu.es
Your username will be a.garcia245
Password: SAME AS USERNAME
FIRST MINUTE QUESTION
If CB and ED are parallel lines...
FD dimension is 6 m
A
B
C
D
ED dimension is 6 m
The triangles are similar
All the sentences are false
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Bligh Lobb Sports Architecture
Millennium Stadium - Cardiff, UK – 1999 - [Bligh Lobb Sports Architecture
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Millennium Stadium - Cardiff, UK – 1999 - [Bligh Lobb Sports Architecture
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
The figure below is a simplified model of part of the structural system of the Cardiff
Millennium Stadium. Determine the sign and value of the forces at every bar.
*Assume all the forces have the direction of the bars.
*Assume every joint is in equilibibrium (addition of forces at each joint equals zero)
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT B
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT E
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT F
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT A
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT C
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT D
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
BE ORGANIZED!!!!
WATCH OUT THE SIGNS!!!!
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
WE KNOW IF THE RESULTS ARE CORRECT
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Bridge in Rodó Park. Tacuarembó. Uruguay
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
The figure below is a simplified model of the Bridge in Rodó Park,
Tacuarembó, Uruguay. Determine the sign and value of the forces at
every bar.
*Assume all the forces have the direction of the bars.
*Assume every joint is in equilibibrium (addition of forces at each joint
equals zero)
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
CAN WE SIMPLIFY THE SYSTEM? HOW?
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT A
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT A
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT B
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT B
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT D
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT D
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT E
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
JOINT E
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
NEGATIVE BARS: COMPRESSION (they get smaller)
POSITIVE BARS: TENSION (they get bigger)
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
Today’s words?
https://www.menti.com/8cwme7e7ux
https://www.mentimeter.com/app
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
SAYNATSALY TOWN HALL (Alvar Aalto 1946)
FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I
FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY

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FM1_geo_1_22_10_03_1.pptx

  • 1. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY FUNDAMENTALS OF MATHEMATICS I
  • 2. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
  • 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 GEOMETRY: VECTORS EXAMPLE 2. INTERNAL FORCES IN BARS. JOINTS METHOD EXAMPLE 3. INTERNAL FORCES IN BARS. JOINTS METHOD
  • 5. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY FIRST MINUTE QUESTION Username: First part of your CEU email For example: if your email is a.garcia245@uspceu.es Your username will be a.garcia245 Password: SAME AS USERNAME
  • 6. FIRST MINUTE QUESTION If CB and ED are parallel lines... FD dimension is 6 m A B C D ED dimension is 6 m The triangles are similar All the sentences are false
  • 7. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY Bligh Lobb Sports Architecture Millennium Stadium - Cardiff, UK – 1999 - [Bligh Lobb Sports Architecture
  • 8. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY Millennium Stadium - Cardiff, UK – 1999 - [Bligh Lobb Sports Architecture
  • 9. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY The figure below is a simplified model of part of the structural system of the Cardiff Millennium Stadium. Determine the sign and value of the forces at every bar. *Assume all the forces have the direction of the bars. *Assume every joint is in equilibibrium (addition of forces at each joint equals zero)
  • 10. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT B
  • 11. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT E
  • 12. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT F
  • 13. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT A
  • 14. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT C
  • 15. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT D
  • 16. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
  • 17. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY BE ORGANIZED!!!! WATCH OUT THE SIGNS!!!!
  • 18. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY WE KNOW IF THE RESULTS ARE CORRECT
  • 19. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY Bridge in Rodó Park. Tacuarembó. Uruguay
  • 20. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY The figure below is a simplified model of the Bridge in Rodó Park, Tacuarembó, Uruguay. Determine the sign and value of the forces at every bar. *Assume all the forces have the direction of the bars. *Assume every joint is in equilibibrium (addition of forces at each joint equals zero)
  • 21. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY CAN WE SIMPLIFY THE SYSTEM? HOW?
  • 22. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT A
  • 23. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT A
  • 24. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT B
  • 25. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT B
  • 26. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT D
  • 27. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT D
  • 28. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY
  • 29. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT E
  • 30. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY JOINT E
  • 31. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY NEGATIVE BARS: COMPRESSION (they get smaller) POSITIVE BARS: TENSION (they get bigger)
  • 32. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY Today’s words? https://www.menti.com/8cwme7e7ux https://www.mentimeter.com/app
  • 33. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY SAYNATSALY TOWN HALL (Alvar Aalto 1946)
  • 34. FUNDAMENTOS MATEMÁTICOS DE LA ARQUITECTURA I FUNDAMENTALS OF MATHEMATIC IN ARCHITECTURE I GEOMETRY