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cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Hipódromo de la Zarzuela. Madrid 1931. Archiches y Domínguaz. Eduardo Torroja
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
2.- STABILITY AND STATICALLY DETERMINACY: REACTION FORCES
1.- STRUCTURAL MODELS:
types of supports and connections
types of loads
bars geometry
5.- ASSIGNMENT 1
3.- INTERNAL FORCES:
AXIAL FORCE
SHEAR FORCE
BENDING MOMENT
TORSION
4.- TEST 0_year 21/2
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL MODELS
TYPES OF SUPPORTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL MODELS
WE DO NOTCALCULATE REAL STRUCTURES
BUT MODELS OF THOSE REAL STRUCTURES
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Shigeru Ban. Artek Milan Pavilion 2007
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
IT IS USELESS TO CALCULATE A MODEL IF IT DOES
NOT BEHAVE AS THE REAL STRUCTURE
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Norman Foster. Renault Distribution Center 1982
WE MUST BE AWARE OF THE
RELATIONSHIP BETWEEN THE
MODEL AND THE REAL STRUCTURE:
partial model? Ignored effects to
simplify the calculations?...
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
IT IS VERY IMPORTANT TO UNDERSTAND HOW
THE LOAD “TRAVELS” ALONG THE BUILDING
STRUCTURAL SYSTEM and its effects
EVERY LOAD SHOULD REACH THE GROUND
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
OMA. Shenzhen Stock Exchange 2013
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
DEPENDING ON THE MOVEMENTS OR ROTATION RESTRICTIONS WE CLASSIFY THE SUPPORTS:
Types of supports and connections
TYPES OF SUPPORTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
DEPENDING ON THE MOVEMENTS OR ROTATION RESTRICTIONS WE CLASSIFY THE SUPPORTS:
Types of supports and connections
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
ROLLER
TYPES OF SUPPORTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
PINNED SUPPORT
TYPES OF SUPPORTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
FIXED SUPPORT
TYPES OF SUPPORTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
DEPENDING ON THE RELATIVE MOVEMENTS OR ROTATION RESTRICTIONS BETWEEN BARS,
WE CLASSIFY THE JOINTS:
TYPES OF INTERNAL CONNECTIONS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
HINGES (PINNED JOINTS)
cperez.eps@ceu.es
federico.prietomunoz@ceu.es TYPES OF INTERNAL CONNECTIONS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
RIGID (or FIXED JOINTS)
STRUCTURAL ANALYSIS I
2017/2018 CLASS 1
TYPES OF INTERNAL CONNECTIONS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STABILITY AND
DETERMINACY
TYPES OF SUPPORTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
A SYSTEM CAN BE CONSIDERED A STRUCTURE
ONLY IF IT IS IN STABLE EQUILIBRIUM
STABILITY AND DETERMINACY
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STABILITY AND DETERMINACY
STABILITY AND DETERMINACY
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
1.- STABILITY AND DETERMINACY
nº unknowns
nº equilibrium
equations
<
nº unknowns
nº equilibrium
equations
=
nº unknowns
nº equilibrium
equations
>
Unstable Statically determinate Statically indeterminate
STABILITY AND DETERMINACY
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es STABILITY AND DETERMINACY
STATICALLY
INDETERMINATE
STATICALLY
DETERMINATE
UNSTABLE
STATICALLY
DETERMINATE
UNSTABLE
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
INTERNAL FORCES
INTERNAL FORCES
ONCE WE KNOW THE EXTERNAL
EQUILIBRIUM (REACTION FORCES)
WE CAN CALCULATE WHAT
HAPPENS “INSIDE” THE BARS OF
THE SYSTEM.
WE CAN CUT THE SYSTEM, ISOLATE
ONE PART OF IT AND APPLY AGAIN
THE EQUILIBRIUM EQUATIONS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
HOW MANY EQUILIBRIUM POSIBILITIES CAN YOU FIND?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
INTERNAL FORCES
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
THE FORCE IN THE DIRECTON OF THE BAR DIRECTRIX IS CALLED
AXIAL FORCE
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
THE ROPE IS IN TENSION AND WHEN THE CHILDREN PULL
IT GETS…. ¿LONGER OR SHORTER?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
THE PARTHENON INTERNAL COLUMNS ARE IN COMPRESSION
THEY GET…. ¿LONGER OR SHORTER?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
BE CAREFUL WITH ELEMENTS UNDER COMPRESSION AND
BUCKLING
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
IS THIS WAY OF BREAKING BREAD EASY? WHY?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
THE EFFECT OF THE SHEAR FORCE IS…
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
WHAT HAPPENS WHEN WE APPLY A VERTICAL FORCE IN THE
MIDDLE OF A BEAM?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
HOW COULD YOU REDUCE DE VERTICAL DISPLACEMENT IN THE
MIDDLE OF THE SPAN?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
WHAT WOULD HAPPEN IF ALL THE PEOPLE DECIDE TO MOVE
TOWARS ONE SIDE OF THE BRIDGE?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
HOW COULD YOU REDUCE THE EFFECT OF TORSION?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es INTERNAL FORCES
FOR WHICH INTERNAL FORCE IS EACH OF THIS PROFILE
EFFECTIVE?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STABILITY AND DETERMINACY?
CAN YOU FIND THE REACTION FORCES?
WHAT’S THE EFFECT OF THE CABLE?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
THE VERTICAL REACTION FORCES ARE EQUAL
WHAT HAPPENS IF WE REMOVE THE HORIZONTAL LOAD?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
DISPLACEMENTS. UNIT LOAD METHOD
REAL SYSTEM
AUXILIARY SYSTEM
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
DISPLACEMENTS. UNIT LOAD METHOD
REAL SYSTEM
AUXILIARY SYSTEM
P* x d real = ∑(N* x ∆Lreal)
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
DISPLACEMENTS. UNIT LOAD METHOD
REAL SYSTEM
AUXILIARY SYSTEM
EA = 2100000 kN
P* x d real = ∑(N* x ∆Lreal)
1ud x u = 1 x (3 x 4 m x 37,5 / 2100000 )
u = 0,214 mm
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
SIMPLE TRUSSES
THE CALCULATION OF DISPLACEMENTS IF WE DO NOT APPLY THE UNIT LOAD METHOD IS
REALLY TIRING…
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
TO CALCULATE THE REACTION FORCES WE CAN APPLY THE 3 EQUILIBRIUM EQUATIONS
∑Fx = 0 ∑Fy = 0 ∑M = 0
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
∑Fx = 0 ∑Fy = 0 ∑M = 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
ONCE WE KNOW THE VALUE OF THE REACTION FORCES
WE CAN CALCULATE THE INTERNAL FORCES IN EVERY BAR.
METHOD OF JOINTS
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
federico.prietomunoz@ceu.es
METHOD OF JOINTS
ANALYSING EVERY JOINT EQUILIBRIUM
we get to know every bar internal force
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
federico.prietomunoz@ceu.es
METHOD OF JOINTS
DOES THESE RESULTS MAKE SENSE?
WHAT WOULD HAPPEN IF THE HORIZONTAL LOAD WAS ZERO?
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
ONCE WE KNOW THE VALUE OF THE REACTION FORCES
WE CAN ALSO CALCULATE THE INTERNAL FORCES IN SOMEBARS.
METHOD OF SECTIONS
USEFUL FOR CHECKING
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
ONCE WE KNOW THE VALUE OF THE REACTION FORCES
WE CAN ALSO CALCULATE THE INTERNAL FORCES IN SOMEBARS.
METHOD OF SECTIONS
USEFUL FOR CHECKING
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
ONCE WE KNOW THE VALUE OF THE REACTION FORCES
WE CAN ALSO CALCULATE THE INTERNAL FORCES IN SOMEBARS.
METHOD OF SECTIONS
USEFUL FOR CHECKING
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
Only 3 unknown bars can be cut because we have 3 EQUILIBRIUM
EQUATIONS to apply to each part of the system
∑Fx = 0 ∑Fy = 0 ∑M = 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
Only 3 unknown bars can be cut because we have 3 EQUILIBRIUM
EQUATIONS to apply to each part of the system
∑Fx = 0 ∑Fy = 0 ∑M = 0
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
DISPLACEMENTS
ONCE WE KNOW THE VALUE OF THE INTERNAL FORCES
WE CAN CALCULATE THE DISPLACEMENTS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Type of connection?
Which one restrains relative rotation?
Which one restrains relative movement?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Type of connection?
Does any of them allow movement or rotation?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Type of connection?
What happens with the bending moments and the end bar moments?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
San Francisco Suspension Bridge. Built in 1937
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
2017/2018 CLASS 1
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
CAN YOU TELL THE DIFFERENCE
BETWEEN
A SUSPENSION BRIDGE AND
A CABLE-STAYED BRIDGE?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Puente de Rande cable-stayed Bridge. Vigo 1973
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Vigo cable-stayed Bridge
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Chicago John Hancock Tower 1970 TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Chicago Lake Shore Drive Apartments.
Mies van der Rohe TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
John Hancock Center (1970):
Architectural height 1128’ (344 m), 100 stories.
Plan dimensions at the ground floor: 262x164’ (78,6x49,2 m).
Plan dimensions at the top floor: 160x100’ (48x30 m).
Chicago John Hancock Tower 1970
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Chicago John Hancock Tower 1970
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Miralles-Tagliabue. Santa Caterina Market. Barcelona 1997 / 2005
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
REMEMBER
IT IS VERY IMPORTANT TO UNDERSTAND HOW
THE LOAD TRAVELS ALONG THE BUILDING
STRUCTURAL SYSTEM.
EVERY LOAD SHOULD REACH THE GROUND
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
Santa Caterina Market (1997/2005):
Central frame span: 42 m.
Roof weight: 92 kp/m2.
7 concrete supports with cross section 90 cm x 90 cm.
2 post tensioned beams with spans of 12-22 m and cantilever from 4-10 m,
cross section beam depth 1,2 m.
Archs of 6 m height.
V shaped beams average 50 m span.
Wooden Arches and Ribs coming from the original market structure in a 50%.
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
For the Gerber beam in the figure and the given bending moment diagram, determine:
1. Value of the punctual load P (kN)
2. Value of the distributed load q (kN/m)
3. Sign and value of the vertical reaction at D, Dy (kN)
4. Sign and value of the shear force at A, VA (kN)
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
For the Gerber beam in the figure and the given shear force diagram, determine:
1. Value of the distributed load q (kN/m)
2. Value of the length L (m)
3. Sign and value of the bending moment at the middle of CD member, MCD (mkN)
4. Sign and value of the bending moment at B, MB (mkN)
5. Sign and value of the rotation at B, θB (mrad)
6. Equivalent model for the beam ABC (types of supports and external forces).
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
GERBER BEAM BRIDGE. Kuma Village. Japan
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
GERBER BEAM. MODEL AND DETAIL.
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
THREE-HINGED ARCH TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
THREE-HINGED ARCH
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
Would the diagram be very different if the hinge at C was not there?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
Does this reaction force values distribution make sense?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
For the Gerber beam in the figure and the given shear force diagram, determine:
1. Value of the distributed load q (kN/m)
2. Value of the length L (m)
3. Sign and value of the bending moment at the middle of CD member, MCD (mkN)
4. Sign and value of the bending moment at B, MB (mkN)
5. Sign and value of the rotation at B, θB (mrad)
6. Equivalent model for the beam ABC (types of supports and external forces).
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
Would the diagram be very different if the hinge at C was not there?
TEST 0
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
ASSIGNMENT 1
cperez.eps@ceu.es
molina.eps@ceu.es
STRUCTURAL ANALYSIS I
DEGREE IN ARCHITECTURE
Year 3 Term 1
STRUCTURAL MODELS
TEST 0

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