1. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
cperez.eps@ceu.es
molina.eps@ceu.es
Hipódromo de la Zarzuela. Madrid 1931. Archiches y Domínguaz. Eduardo Torroja.
Assignment 1 year 18/19
STATICALLY DETERMINATE BEAMS AND FRAMES
DISPLACEMENTS
2. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
cperez.eps@ceu.es
molina.eps@ceu.es
3.- TEST 1 18/19
2.- TEST 1 17/18
1.- TEST 1 16/17
4.- ASSIGNMENT 1
Valle de los Caídos. Assignment 1 year 19/20
6. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
cperez.eps@ceu.es
federico.prietomunoz@ceu.es
real bars elongation
Δ𝐿 =
𝑁𝐿
𝐸𝐴
It gives us information
about the contribution of
each member to the
displacement we want to
calculate
vC= 𝑁∗ 𝑥
𝑁𝐿
𝐸𝐴
=
−23,48𝑃𝑎
𝐸𝐴
7. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
cperez.eps@ceu.es
federico.prietomunoz@ceu.es
It gives us information
about the contribution of
each member to the
displacement we want to
calculate
vC = 𝑁∗ 𝑥
𝑁𝐿
𝐸𝐴
=
14,48𝑃𝑎
𝐸𝐴
real bars elongation
Δ𝐿 =
𝑁𝐿
𝐸𝐴
19. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
REMEMBER!
WE ONLY CONSIDER MOVEMENTS PRODUCED BY BENDING
MOMENTS. WE NEGLECT SHEAR FORCE AND AXIAL FORCE
DEFORMATIONS. WE ASSUME BARS ARE INEXTENSIBLE
44. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
cperez.eps@ceu.es
federico.prietomunoz@ceu.es
BEAM 5
BEAM 6
BOTH BEAMS REACTION FORCES ARE EQUAL WHY?
WHAT WOULD HAPPEN IF A WAS FIXED SUPPORTED INSTEAD OF PINNED?
52. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
TO CALCULATE THE VERTICAL DISPLACEMENT AT C…
WHICH EFFECTS DO WE HAVE TO CONSIDER?
BEAM 6
WE MUST CONSIDER SAME AS BEAM (5)
PLUS THE EFFECT OF THE CABLE ELONGATION
54. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
BEAM 6
WE WOULD GET SAME RESULT IF WE APPLY UNIT LOAD METHOD
WATCH OUT!!!!!
WE SHOULD CONSIDER
THE BENDING
MOMENTS OF THE
BEAM AND THE AXIAL
FORCE IN THE CABLE!
69. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2HORIZONTAL DISPLACEMENT AT G
ONLY THE COLUMN BG BENDING MOMENT AFFECTS IT
uG = 4,5qa x (6a + 4 x 4,5a + 3a)/(6x 52857) x 3a
uG varies between 11,49 and 55,37 mm
70. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2HORIZONTAL DISPLACEMENT AT D
ONLY THE COLUMN BG BENDING MOMENT AFFECTS IT
uD = 4,5qa2 x (3a + 4 x 1,5a + 0)/(6x 52857) x 3a
uD varies between 3,83 and 18,46 mm
71. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2VERTICAL DISPLACEMENT AT D
THE COLUMN BG AND THE BEAM CD BENDING MOMENTS AFFECTS IT
vD = 3qa2 + 4 x 3a + 3a)/(6x 52857) x 3a +
(4,5qa2 x 3a + 4 x 1,125qa2 x 1,5a + 0)/(6x11970) x 3a
vD varies between -16,1 and -77,7 mm
72. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2VERTICAL DISPLACEMENT AT J
THE TRUSS AND THE CABLE AXIAL FORCE AFFECT IT
vJ = S (N* x N x L / EA)for each bar + P x (-3) /65951
vJ varies between -12,21 and -25,67 mm
73. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2VERTICAL DISPLACEMENT AT I
THE TRUSS AND THE CABLE AXIAL FORCE AFFECT IT
vJ = S (N* x N x L / EA)for each bar + P x (+2) /65951
vJ varies between 4,81 and 10,11 mm
74. cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
19/20 CLASS 2
REMEMBER!
IN BEAMS A COLUMNS WE ONLY CONSIDER MOVEMENTS
PRODUCED BY BENDING MOMENTS. WE NEGLECT SHEAR
FORCE AND AXIAL FORCE DEFORMATIONS. WE ASSUME BARS
ARE INEXTENSIBLE
UNLESS CABLES OR TRUSSES ARE INVOLVED