psa - structural aspects 2016
TRANSCRIPT
![Page 1: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/1.jpg)
STRUCTURAL ASPECTS FOR FIRE ACTION
Corso di Progettazione Strutturale Antincendio A.A. 2016/17
Franco BontempiProfessore Ordinario di Tecnica delle Costruzioni
Facoltà di Ingegneria Civile e Industriale
Sapienza Università di Roma
PROGETTAZIONE STRUTTURALE ANTINCENDIO 1
![Page 2: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/2.jpg)
Peculiarities
PROGETTAZIONE STRUTTURALE ANTINCENDIO 2
![Page 3: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/3.jpg)
MATERIALS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 3
![Page 4: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/4.jpg)
STEEL
PROGETTAZIONE STRUTTURALE ANTINCENDIO 4
![Page 5: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/5.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 5
![Page 6: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/6.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 6
![Page 7: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/7.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 7
![Page 8: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/8.jpg)
NB
: st
och
asti
c va
riab
ility
PROGETTAZIONE STRUTTURALE ANTINCENDIO 8
![Page 9: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/9.jpg)
NB
: d
iffe
ren
t m
od
elin
g
PROGETTAZIONE STRUTTURALE ANTINCENDIO 9
![Page 10: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/10.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 10
![Page 11: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/11.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 11
![Page 12: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/12.jpg)
NB
PROGETTAZIONE STRUTTURALE ANTINCENDIO 12
![Page 13: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/13.jpg)
NB
PROGETTAZIONE STRUTTURALE ANTINCENDIO 13
![Page 14: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/14.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 14
![Page 15: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/15.jpg)
NB
PROGETTAZIONE STRUTTURALE ANTINCENDIO 15
![Page 16: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/16.jpg)
NB
PROGETTAZIONE STRUTTURALE ANTINCENDIO 16
![Page 17: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/17.jpg)
NB
PROGETTAZIONE STRUTTURALE ANTINCENDIO 17
![Page 18: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/18.jpg)
NB
PROGETTAZIONE STRUTTURALE ANTINCENDIO 18
![Page 19: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/19.jpg)
CONCRETE
Compression
PROGETTAZIONE STRUTTURALE ANTINCENDIO 19
![Page 20: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/20.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 20
![Page 21: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/21.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 21
![Page 22: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/22.jpg)
Traction
PROGETTAZIONE STRUTTURALE ANTINCENDIO 22
![Page 23: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/23.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 23
![Page 24: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/24.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 24
![Page 25: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/25.jpg)
Reinforncing BARS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 25
![Page 26: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/26.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 26
![Page 27: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/27.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 27
![Page 28: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/28.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 28
![Page 29: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/29.jpg)
TEMPERATURE PROFILES
PROGETTAZIONE STRUTTURALE ANTINCENDIO 29
![Page 30: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/30.jpg)
Slab – Plate – Wallsone side heated
PROGETTAZIONE STRUTTURALE ANTINCENDIO 30
![Page 31: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/31.jpg)
Sections
PROGETTAZIONE STRUTTURALE ANTINCENDIO 31
![Page 32: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/32.jpg)
SectionPROGETTAZIONE STRUTTURALE ANTINCENDIO 32
![Page 33: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/33.jpg)
SectionPROGETTAZIONE STRUTTURALE ANTINCENDIO 33
![Page 34: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/34.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 34
![Page 35: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/35.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 35
![Page 36: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/36.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 36
![Page 37: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/37.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 37
![Page 38: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/38.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 38
![Page 39: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/39.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 39
![Page 40: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/40.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 40
![Page 41: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/41.jpg)
Columns
PROGETTAZIONE STRUTTURALE ANTINCENDIO 41
![Page 42: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/42.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 42
![Page 43: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/43.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 43
![Page 44: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/44.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 44
![Page 45: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/45.jpg)
ISOTHERM 500°
PROGETTAZIONE STRUTTURALE ANTINCENDIO 45
![Page 46: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/46.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 46
![Page 47: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/47.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 47
![Page 48: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/48.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 48
![Page 49: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/49.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 49
![Page 50: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/50.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 50
![Page 51: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/51.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 51
![Page 52: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/52.jpg)
STRUCTURAL INTERACTIONS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 52
![Page 53: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/53.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 53
![Page 54: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/54.jpg)
A. Indirect Stresses (EC)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 54
![Page 55: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/55.jpg)
A. Indirect Stresses (EC)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 55
![Page 56: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/56.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 56
CURVE NOMINALI
![Page 57: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/57.jpg)
ANALISI DELLE SINGOLE MEMBRATURE• Ripristino di idonee condizioni al contorno.
• Riduzione opportuna delle sollecitazioni ordinarie a freddo (Ed) mediante
un coefficiente riduttivo ηfi,d
• Azioni indirette sull’elemento (quelle derivanti da deformazioni termiche
impedite) solo derivanti da gradienti termici lungo le sezioni strutturali
trascurando le distorsioni termiche assiali o quelle piane.
• L’analisi di singole membrature deve risultare comunque conservativa.
3 rotazioni
3 traslazioni
(K determinato a t = 0)
57PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 58: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/58.jpg)
Thermal gradients
PROGETTAZIONE STRUTTURALE ANTINCENDIO 58
![Page 59: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/59.jpg)
Thermal gradients
PROGETTAZIONE STRUTTURALE ANTINCENDIO 59
![Page 60: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/60.jpg)
ANALISI DI PARTI DI STRUTTURE
(K determinato a t = 0
indipendente dal tempo)
3 rotazioni
3 traslazioni
• Ripristino di idonee condizioni al contorno.
• Riduzione opportuna delle sollecitazioni ordinarie a freddo (Ed) mediante
un coefficiente riduttivo ηfi,d
• All’interno della sottostruttura devono essere tenute in conto tutte le azioni
indirette, il decadimento delle proprietà meccaniche dei materiali, le
effettive rigidezze e il possibile meccanismo di collasso.
• Non sono utilizzabili metodi tabellari. Metodi semplificati sono applicabili
solo per incendi nominali. Nel caso di incendi reali, invece, sono consentiti
solo i metodi avanzati.60PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 61: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/61.jpg)
• Questo tipo di analisi strutturale è
il più completo.
• Può essere effettuato sia con regole
prescrittive che con un approccio
prestazionale.
• Sono utilizzabili solo metodi di
calcolo avanzati, che considerano
le proprietà dei materiali e la loro
variazione con la temperatura, le
distorsioni termiche, il verificarsi
di meccanismi di collasso parziali,
la rigidezza delle membrature.
• Senza dubbio per la loro
applicabilità necessitano di grandi
potenze di calcolo e di una
notevole specializzazione del
progettista.
ANALISI DELLA STRUTTURA INTERA
61PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 62: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/62.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 62
THERMAL EXPANSION
INDIRECT STRESSES
BOWING EFFECT
CATENARY/MEMBR. ACTION
possible overloading of elements
higher displacements induced
THERMAL EFFECTS
A
LARGE DISPLACEMETS
B
COLLAPSE MODE
C
LOW RESTRAIN
HIGH RESTRAIN
possible loss of supports
generally beneficial for members
sway collapse
early buckling
Structural analysis issues
![Page 63: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/63.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 63
relative thermal elongation (DL/L0 ) = a ∙ DT [ad.]
etherm = a(T) ∙ DT [ad.]
A. Thermal expansion
![Page 64: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/64.jpg)
relative thermal elongation
DLtherm/L = a(T) ∙ DT [ad.]
thermal expansion coefficient [K-1]
Total deformation: etot = etherm(T) + emech(s,T)
not hindered hindered
elongation+
induced deformation
partially hindered
elongation and compression+
induced deformation and stresses
eigenstresses
seigen(T, ET) DLtherm(T)
Dseigen = kET E20 DLfree /L
compression+
induced stresses
RESTRAINT GRADE
A. Thermal expansion
![Page 65: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/65.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
![Page 66: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/66.jpg)
A. Thermal expansion
PROGETTAZIONE STRUTTURALE ANTINCENDIO 66
![Page 67: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/67.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
![Page 68: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/68.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
![Page 69: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/69.jpg)
A. Thermal expansion
PROGETTAZIONE STRUTTURALE ANTINCENDIO 69
![Page 70: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/70.jpg)
Esempio elementare
70PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 71: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/71.jpg)
#4
71PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 72: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/72.jpg)
#1
7272PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 73: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/73.jpg)
Initial deformed shape
Initial deformed shape: Scenario 1
Initial deformed shape: Scenario 2
Initial deformed shape: Scenario 3
Initial deformed shape
Initial deformed shape: Scenario 1
Initial deformed shape: Scenario 2
Initial deformed shape: Scenario 3
73PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 74: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/74.jpg)
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 74
![Page 75: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/75.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 75
![Page 76: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/76.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 76
![Page 77: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/77.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 77
![Page 78: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/78.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 78
![Page 79: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/79.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 79
![Page 80: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/80.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 80
![Page 81: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/81.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 81
Example
![Page 82: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/82.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 82
Hinged column, h=1000 mm; square sections: 150x150 – 120x120 – 90x90 – 60x60 – 50x50 – 40x40 – 32x32 – 28x28 – 16x16 mm
![Page 83: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/83.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 83
![Page 84: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/84.jpg)
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 84
16x16 – λ~1000/8=125
![Page 85: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/85.jpg)
28x28 – λ~1000/14=71
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 85
![Page 86: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/86.jpg)
32x32 – λ~1000/16=62
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 86
![Page 87: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/87.jpg)
40x40 – λ~1000/20=50
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 87
![Page 88: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/88.jpg)
50x50 – λ~1000/25=40
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 88
![Page 89: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/89.jpg)
60x60 – λ~1000/30=33
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 89
![Page 90: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/90.jpg)
90x90 – λ~1000/45=22
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 90
![Page 91: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/91.jpg)
90x90 – λ~1000/45=22
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 91
![Page 92: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/92.jpg)
120x120 – λ~1000/60=17
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 92
![Page 93: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/93.jpg)
120x120 – λ~1000/60=17
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 93
![Page 94: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/94.jpg)
150x150 – λ~1000/75=13
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 94
![Page 95: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/95.jpg)
150x150 – λ~1000/75=13
A. Thermal buckling
PROGETTAZIONE STRUTTURALE ANTINCENDIO 95
![Page 96: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/96.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 96
T=250°
![Page 97: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/97.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 97
T=500°
![Page 98: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/98.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 98
T=750°
![Page 99: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/99.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 99
T=1000°
![Page 100: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/100.jpg)
0,0E+004,0E+058,0E+05
1,2E+061,6E+062,0E+062,4E+062,8E+06
3,2E+063,6E+064,0E+06
0 100 200 300 400 500 600 700 800 900 1000
T (°C)
P c
r, R
x (
N)
Carico critico Elastico Carico di Snervamento Reazione vincolare p.to A
0,1
0,1
0,0E+004,0E+068,0E+061,2E+071,6E+072,0E+072,4E+072,8E+073,2E+073,6E+074,0E+07
0 100 200 300 400 500 600 700 800 900 1000T (°C)
P c
r, R
x (N
)
Carico critico Elastico Carico di Snervamento
Reazione vincolare p.to A Carico critico Elasto-Plastico
0,2
0,2
A
B
2
2
E
E
s
2
st
2
pl
)(E
es
Formula di
Shanley
R2
2
EL
I)T(EP
A*)T(P yy s
σ
ε
σP
E
Et
Thermal buckling
![Page 101: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/101.jpg)
0,0E+00
4,0E+05
8,0E+05
1,2E+06
1,6E+06
2,0E+06
2,4E+06
2,8E+06
3,2E+06
3,6E+06
4,0E+06
0 100 200 300 400 500 600 700 800 900 1000
T (°C)
P c
r,
R x
(N
)
Carico critico Elastico Carico di Snervamento Reazione vincolare p.to A
0,0E+00
5,0E+07
1,0E+08
1,5E+08
2,0E+08
2,5E+08
0 100 200 300 400 500 600 700 800 900 1000
T (°C)
P c
r,
R x
(N
)
Carico critico Elastico Carico di Snervamento
Reazione vincolare p.to A Carico critico Elasto-Plastico
0,0E+00
5,0E+07
1,0E+08
1,5E+08
2,0E+08
2,5E+08
0 100 200 300 400 500 600 700 800 900 1000
T (°C)
P c
r, R
x
(N)
Carico critico Elastico fuori grafico Carico di Snervamento
Reazione vincolare p.to A Carico critico Elasto-Plastico
0,0E+00
4,0E+06
8,0E+06
1,2E+07
1,6E+07
2,0E+07
2,4E+07
2,8E+07
3,2E+07
3,6E+07
4,0E+07
0 100 200 300 400 500 600 700 800 900 1000
T (°C)
P c
r, R
x (N
)
Carico critico Elastico Carico di Snervamento
Reazione vincolare p.to A Carico critico Elasto-Plastico
Punto Sezione T ( °C ) Modalità di collasso
A 0,1x0,1 77 Instabilità di Eulero
B 0,2x0,2 89,5 Instabilità di Shanley
C 0,6x0,6 331 Instabilità di Shanley
D 0,8x0,8 1000 Non collasso
D
C
B
ASezione 0,1x0,1 Sezione 0,2x0,2
Sezione 0,6x0,6 Sezione 0,8x0,8
Thermal buckling
![Page 102: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/102.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 102
THERMAL EXPANSION
INDIRECT STRESSES
BOWING EFFECT
CATENARY/MEMBR. ACTION
possible overloading of elements
higher displacements induced
THERMAL EFFECTS
A
LARGE DISPLACEMETS
B
COLLAPSE MODE
C
LOW RESTRAIN
HIGH RESTRAIN
possible loss of supports
generally beneficial for members
sway collapse
early buckling
Structural analysis issues
![Page 103: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/103.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 103
![Page 104: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/104.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
WHEN DISPLACEMENT ARE LARGE
THESE BEAMS BEHAVE DIFFERENTLY
UNDER VERTICAL LOADS
L
horizontally restrained
L
simply supported
1. A vertically loaded simply supported beam is exposed to fire. The sliding support:
a. will stay stillb. will move to the right (toward the outside)c. will move to the left (toward the other support)
2. What would happen if the beam were horizontally restrained instead?
B. Large displacements
![Page 105: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/105.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
1. A vertically loaded simply supported beam is exposed to fire. The sliding support:
a. will stay stillb. will move to the right (toward the outside)c. will move to the left (toward the other support)
2. What would happen if the beam were horizontally restrained instead?
L
horizontally restrained
L
simply supported
N N
d
first expansionthen contraction
first compressionthen tension
B. Large displacements
![Page 106: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/106.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
![Page 107: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/107.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
![Page 108: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/108.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
simply supported beam horizontally restrained beam
q q
DT DT
tension catenary actionLD prevails bowing effect2
compression II ord. momentthermal effect prevails expansion1
B. Large displacements
![Page 109: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/109.jpg)
Mo
tiva
tio
nP
rob
lem
sA
pp
roa
ch a
nd
met
ho
do
log
y
WTC
, Usm
ani&
al.2
00
3B. Collapse mode: vertical propagation
![Page 110: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/110.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 110
THERMAL EXPANSION
INDIRECT STRESSES
BOWING EFFECT
CATENARY/MEMBR. ACTION
possible overloading of elements
higher displacements induced
THERMAL EFFECTS
A
LARGE DISPLACEMETS
B
COLLAPSE MODE
C
LOW RESTRAIN
HIGH RESTRAIN
possible loss of supports
generally beneficial for members
sway collapse
early buckling
Structural analysis issues
![Page 111: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/111.jpg)
B. Collapse mode: sway / non sway
Denmark 2013 Romania 2010
Alexandru Dondera, MSc thesis, 2013 PROGETTAZIONE STRUTTURALE ANTINCENDIO 111
![Page 112: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/112.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 112
![Page 113: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/113.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 113
![Page 114: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/114.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 114
![Page 115: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/115.jpg)
SWAY: prevede lo svio; è
potenzialmente capace di
coinvolgere strutture vicine,
con la possibilità di
provocare dei collassi a
catena, ovvero una crisi
progressiva.
NO SWAY: il meccanismo
che non prevede svio del
traverso; presenta un
confinamento del collasso
PROGETTAZIONE STRUTTURALE ANTINCENDIO 115
![Page 116: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/116.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 116
![Page 117: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/117.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 117
![Page 118: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/118.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 118
![Page 119: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/119.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 119
![Page 120: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/120.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 120
![Page 121: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/121.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 121
![Page 122: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/122.jpg)
Scenario di incendio
PROGETTAZIONE STRUTTURALE ANTINCENDIO 122
![Page 123: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/123.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 123
![Page 124: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/124.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 124
![Page 125: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/125.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 125
![Page 126: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/126.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 126
![Page 127: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/127.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 127
![Page 128: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/128.jpg)
Tensile force
PROGETTAZIONE STRUTTURALE ANTINCENDIO 128
![Page 129: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/129.jpg)
Lateral stifness
PROGETTAZIONE STRUTTURALE ANTINCENDIO 129
![Page 130: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/130.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 130
![Page 131: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/131.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 131
![Page 132: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/132.jpg)
Configurazioni considerate (1)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 132
![Page 133: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/133.jpg)
Configurazioni considerate (2)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 133
![Page 134: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/134.jpg)
EFFETTO CATENARIA
PROGETTAZIONE STRUTTURALE ANTINCENDIO 134
![Page 135: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/135.jpg)
EFFETTO MEMBRANA
PROGETTAZIONE STRUTTURALE ANTINCENDIO 135
![Page 136: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/136.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 136
![Page 137: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/137.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 137
![Page 138: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/138.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 138
![Page 139: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/139.jpg)
Total deflection of the floor:
L/30+ /30 = (L+ )/30 L/30
/30
L
PROGETTAZIONE STRUTTURALE ANTINCENDIO 139
![Page 140: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/140.jpg)
B. Collapse mode: early beam buckling
-200
-100
0
100
200
300
400
500
600
700
0 100 200 300 400 500 600 700 800 900 1.000A
xial
Fo
rce
(kN
)
Temperature (°C)
THERMAL BUCKLING
PLASTIC HINGE
TENSILE COLLAPSE
IPE 270HE 1000 M
g = 0.9H
IGH
RES
TRA
INT
LOW
RES
TRA
INT
Riccardo Aiuti, MSc thesis, 2013
PROGETTAZIONE STRUTTURALE ANTINCENDIO 140
![Page 141: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/141.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 141
![Page 142: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/142.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 142
![Page 143: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/143.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 143
THERMAL EXPANSION
INDIRECT STRESSES
BOWING EFFECT
CATENARY/MEMBR. ACTION
possible overloading of elements
higher displacements induced
THERMAL EFFECTS
A
LARGE DISPLACEMETS
B
COLLAPSE MODE
C
LOW RESTRAIN
HIGH RESTRAIN
possible loss of supports
generally beneficial for members
sway collapse
early buckling
Structural analysis issues
![Page 144: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/144.jpg)
STRUCTURAL CONNECTIONS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 144
![Page 145: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/145.jpg)
B-/D- Regions
A
B
C
D E
F
G
H
PROGETTAZIONE STRUTTURALE ANTINCENDIO 145
![Page 146: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/146.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 146
![Page 147: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/147.jpg)
1.0 1.6 0.6
ANCHORAGE FORCE
SHEAR (SUPPORT REACTION)
RIGHT END REACTION
PROGETTAZIONE STRUTTURALE ANTINCENDIO 147
![Page 148: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/148.jpg)
12/20/2012 148
Limit
Stat
e
λ Shear
(slice 1.9685
inch)
Anchorage
(slice
1.9685
inch)
Right end
(slice
1.9685
inch)
Slice 0.3937
inch
(model)
Slice 3.1496
inch
(suggested)
kN Kips kN Kips kN Kips kN Kips kN Kips
SLS 1.0 120 26.98 190 42.71 72 16.19 24 5.40 192 43.16
ULS 1.5 180 40.47 285 64.07 108 24.28 36 8.09 288 64.74
SILS 1.9 230 51.71 365 82.06 139 31.25 45 10.12 365 82.06
1.0 1.6 0.6
ANCHORAGE FORCESHEAR
(SUPPORT REACTION)
RIGHT END REACTION
PROGETTAZIONE STRUTTURALE ANTINCENDIO 148
![Page 149: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/149.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 149
![Page 150: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/150.jpg)
STRINGERS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 150
![Page 151: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/151.jpg)
STRINGERS PROPERTIES
PROGETTAZIONE STRUTTURALE ANTINCENDIO 151
![Page 152: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/152.jpg)
CONNECTION PROPERTIES
PROGETTAZIONE STRUTTURALE ANTINCENDIO 152
![Page 153: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/153.jpg)
PANELS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 153
![Page 154: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/154.jpg)
PANELS PROPERTIES
PROGETTAZIONE STRUTTURALE ANTINCENDIO 154
![Page 155: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/155.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 155
![Page 156: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/156.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 156
![Page 157: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/157.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 157
![Page 158: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/158.jpg)
SWL elastic behavior
PROGETTAZIONE STRUTTURALE ANTINCENDIO 158
![Page 159: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/159.jpg)
SWL elastic behavior
PROGETTAZIONE STRUTTURALE ANTINCENDIO 159
![Page 160: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/160.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 160
![Page 161: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/161.jpg)
Structural Response
λ=1.9 – 230 kN – 52 Kips
λ=1.5 – 180 kN – 40 Kips
λ=1.0 – 120 kN – 28 Kips
PROGETTAZIONE STRUTTURALE ANTINCENDIO 161
![Page 162: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/162.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 162
![Page 163: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/163.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 163
![Page 164: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/164.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 164
![Page 165: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/165.jpg)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 165
![Page 166: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/166.jpg)
Steel mechanical properties degradation
T
<=100°C200°C
400°C
600°C
800°C
500°C
2%
e
20%0.2% 15%
s
fyk
PROGETTAZIONE STRUTTURALE ANTINCENDIO 166
![Page 167: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/167.jpg)
Verification of fire resistance (T)
R = structural resistance
T = temperature
t = time
Efi,requ,t
Rfi,d,t
Failure !
Td ≤ Tcr
PROGETTAZIONE STRUTTURALE ANTINCENDIO 167
![Page 168: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/168.jpg)
ISO Fire - Steel Temperature
PROGETTAZIONE STRUTTURALE ANTINCENDIO 168
![Page 169: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/169.jpg)
ANSYS
ABAQUS
PANEL STRESS, t= 0 sec, T= 20 °C, Yield stress 450 N/mm2
PROGETTAZIONE STRUTTURALE ANTINCENDIO 169
![Page 170: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/170.jpg)
ANSYS
ABAQUS
PANEL STRESS, t= 565 sec, T= 576 °C, Yield stress 245 N/mm2
PROGETTAZIONE STRUTTURALE ANTINCENDIO 170
![Page 171: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/171.jpg)
PANEL STRESS, t= 650 sec, T= 618 °C, Yield stress 192 N/mm2
ANSYS
ABAQUS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 171
![Page 172: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/172.jpg)
PANEL STRESS, t= 730 sec, T= 651 °C, Yield stress 156 N/mm2
ANSYS
ABAQUS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 172
![Page 173: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/173.jpg)
PANEL STRESS, t= 770 sec, T= 665 °C, Yield stress 141 N/mm2
ANSYS
ABAQUS
PROGETTAZIONE STRUTTURALE ANTINCENDIO 173
![Page 174: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/174.jpg)
0
2
4
6
8
10
12
14
0 200 400 600 800
dis
pl [
mm
]
TEMP [°C]
Ansys
Abaqus
Structural Response (1)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 174
![Page 175: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/175.jpg)
0
2
4
6
8
10
12
0 5 10 15
dis
pl [
mm
]
Time [min]
Ansys
Abaqus
Structural Response (2)
PROGETTAZIONE STRUTTURALE ANTINCENDIO 175
![Page 176: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/176.jpg)
0
200
400
600
800
1000
1200
0 20 40 60 80 100 120
ISO 834
Acciaio non protetto
pittura intumescente
schiuma PROMAFOAM d=7mm
GessoTime [min]
TE
MP
[°C
]
Protective Measures
PROGETTAZIONE STRUTTURALE ANTINCENDIO 176
![Page 177: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/177.jpg)
Mechanical Analysis
• The mechanical analysis shall be performed for the same duration as used in the temperature analysis.
• Verification of fire resistance should be in:– in the strength domain: Rfi,d,t ≥ Efi,requ,t
(resistance at time t ≥ load effects at time t);
– in the time domain: tfi,d ≥ tfi,requ
(design value of time fire resistance ≥ time required)
– In the temperature domain: Td ≤ Tcr
(design value of the material temperature ≤ critical material temperature);
177PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 178: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/178.jpg)
Verification of fire resistance (3D)R = structural resistance
T = temperature
t = time
T=T(t)
R=R(t,T)=R(t,T(t))=R(t)
178PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 179: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/179.jpg)
Verification of fire resistance (R-safe)R = structural resistance
T = temperature
t = time
Rfi,d,t
Efi,requ,t
179PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 180: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/180.jpg)
Verification of fire resistance (R-fail)R = structural resistance
T = temperature
t = time
Efi,requ,t
Rfi,d,t
Failure !
180PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 181: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/181.jpg)
Verification of fire resistance (t)R = structural resistance
T = temperature
t = time
Efi,requ,t Rfi,d,t
Failure !
tfi,d ≥ tfi,requ
181PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 182: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/182.jpg)
Verification of fire resistance (T)R = structural resistance
T = temperature
t = time
Efi,requ,t
Rfi,d,t
Failure !
Td ≤ Tcr
182PROGETTAZIONE STRUTTURALE ANTINCENDIO
![Page 183: PSA - Structural Aspects 2016](https://reader031.vdocuments.pub/reader031/viewer/2022021421/587c126e1a28ab03768b6c85/html5/thumbnails/183.jpg)
183PROGETTAZIONE STRUTTURALE ANTINCENDIO 183