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ADVANCED DESIGN OF GLASS STRUCTURES
Application 4
Design of insulated glass units Viorel Ungureanu
European Erasmus Mundus Master Course Sustainable Constructions
under Natural Hazards and Catastrophic Events 520121-1-2011-1-CZ-ERA MUNDUS-EMMC
2 2
Objectives
• Check of the insulating glass unit according to the prEN 13474
• Ultimate limit state
• Serviceability limit state
Application Vertical insulating glass unit 4mm toughened float glass / 12mm cavity / 6mm float glass, c1 1300mm wide x c2 900mm high, supported on all four edges, subjected to a wind load of c3 1.5kN/m2, glazed at an altitude of less than 400m.
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
3
h1 = 4 mm – toughened glass s = 12 mm h2 = 6 mm – float glass
a =
900m
m
b = 1300mm
1 2
Worked example Worked example Vertical insulating glass unit 4mm toughened float glass / 12mm cavity / 6mm float glass, 1300mm wide x 900mm high, supported on all four edges, subjected to a wind load of 1.5kN/m2, glazed at an altitude of less than 400m.
• aspect ration
• “a” shall be taken as the shorter dimensions
ba
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
4 4
Worked example
• “four edge supported glass pane” (prEN 13474) • small deflection p* = 0 • linear interpolation between two values • from table B.2 coefficient k2 for calculation of the effective stress
p*
0 5 10 20 30 50 100 200 300 500 1,0 0,251 0,250 0,246 0,235 0,221 0,193 0,164 0,146 0,137 0,126 0,9 0,288 0,285 0,279 0,259 0,237 0,201 0,174 0,156 0,147 0,135 0,8 0,338 0,334 0,323 0,292 0,261 0,216 0,186 0,168 0,159 0,147 0,7 0,398 0,392 0,375 0,330 0,291 0,237 0,202 0,183 0,173 0,161 0,6 0,463 0,454 0,432 0,377 0,330 0,267 0,220 0,201 0,191 0,179 0,5 0,527 0,518 0,495 0,436 0,383 0,312 0,241 0,222 0,212 0,199 0,4 0,588 0,581 0,564 0,512 0,461 0,383 0,281 0,247 0,236 0,223 0,3 0,639 0,637 0,629 0,602 0,568 0,500 0,384 0,278 0,265 0,251 0,2 0,678 0,677 0,676 0,672 0,665 0,644 0,577 0,463 0,390 0,308 0,1 0,699 0,699 0,699 0,699 0,699 0,698 0,697 0,692 0,683 0,660 0,0 0,699 0,699 0,699 0,699 0,699 0,698 0,698 0,698 0,698 0,698
Table B2: Coefficient k2 for calculation of the effective stress
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
5 5
Worked example
• from table B.3 coefficient k4 for calculation of maximum deflection p*
0 5 10 20 30 50 100 200 300 500 1,0 0,046 0,046 0,045 0,041 0,038 0,032 0,024 0,017 0,014 0,011 0,9 0,056 0,056 0,054 0,049 0,044 0,036 0,027 0,019 0,015 0,012 0,8 0,068 0,067 0,065 0,057 0,051 0,041 0,030 0,021 0,018 0,014 0,7 0,083 0,081 0,077 0,068 0,059 0,048 0,035 0,025 0,020 0,016 0,6 0,099 0,097 0,092 0,081 0,071 0,057 0,041 0,029 0,024 0,019 0,5 0,115 0,113 0,109 0,097 0,086 0,070 0,051 0,036 0,030 0,023 0,4 0,131 0,129 0,126 0,116 0,105 0,088 0,065 0,046 0,038 0,030 0,3 0,147 0,142 0,140 0,135 0,128 0,114 0,088 0,064 0,053 0,041 0,2 0,147 0,147 0,147 0,146 0,145 0,140 0,126 0,101 0,085 0,067 0,1 0,148 0,148 0,148 0,148 0,148 0,148 0,147 0,146 0,143 0,136 0,0 0,148 0,148 0,148 0,148 0,148 0,148 0,148 0,148 0,148 0,148
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
6 6
Worked example
• from table B.4 coefficient k5 for calculation of the volume change p*
0 5 10 20 30 50 100 200 300 500 1,0 0,019 0,019 0,019 0,018 0,017 0,015 0,011 0,008 0,007 0,005 0,9 0,024 0,024 0,023 0,022 0,020 0,017 0,013 0,009 0,007 0,006 0,8 0,029 0,029 0,028 0,026 0,023 0,020 0,015 0,010 0,008 0,007 0,7 0,035 0,035 0,034 0,031 0,028 0,023 0,017 0,012 0,010 0,008 0,6 0,042 0,042 0,040 0,037 0,033 0,027 0,020 0,014 0,012 0,009 0,5 0,050 0,050 0,048 0,044 0,040 0,033 0,025 0,018 0,014 0,011 0,4 0,059 0,058 0,057 0,053 0,049 0,042 0,031 0,022 0,018 0,014 0,3 0,068 0,067 0,066 0,064 0,061 0,054 0,042 0,031 0,025 0,020 0,2 0,077 0,077 0,076 0,076 0,074 0,071 0,062 0,048 0,040 0,031 0,1 0,086 0,086 0,086 0,086 0,086 0,085 0,084 0,081 0,077 0,068 0,0 0,095 0,095 0,095 0,095 0,095 0,095 0,095 0,095 0,095 0,095
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
7 7
Worked example • characteristic length of the unit a*
• partition of external and internal loads and effect of internal loads is determined by the insulating units factor
• partition of external load is determined by relative stiffness of the panes
250
532
31
32
31928
,
khhhhs,*a
4
1
1
*aa
32
31
31
1 hhh
32
31
32
2 hhh
stiffness of the pane 1 (outer pane) stiffness of the pane 2 (inner pane)
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
8 8
Worked example
Glass product Uniformly distributed load duration
Glass type Processing
Short duration loads Wind loads
Medium duration loads Snow, climate loads
Permanent loads Self-weight, altitude
loads ULS SLS ULS SLS ULS SLS
Float glass and sheet
glass
annealed 17.0 30.7 8.5 15.3 6.4 11.5
heat strengthened
27.9 47.3 19.4 32.0 17.3 28.2
thermally toughened
49.6 80.7 41.1 65.3 39.0 61.5
chemically strengthened
62.7 100.7 54.2 85.3 52.0 81.5
Allowable stresses for panes up to 4.0m2 fg,d
For pane 1- toughened glass • wind load ULS fg,d = 49.6MPa = 49.6N/mm2
• wind load SLS fg,d = 80.7MPa
• climate load SLS fg,d = 65.3MPa • altitude load SLS fg,d = 61.5MPa
For pane 2- float glass • wind load ULS fg,d = 17.0MPa
• wind load SLS fg,d = 30.7MPa
• climate load SLS fg,d = 15.3MPa • altitude load SLS fg,d = 11.5MPa
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
9 9
Worked example
Isochore pressure [kN/m2] Climatic action
pC,0 [kN/m2] Altitude action pH,0 [kN/m2]
For use up to 400 m altitude
For use up to 700 m altitude
summer +12,0 +3,6 +8,4 winter -15,0 -3,6 -8,4
Limiting conditions of internal loads, if the exact values for the internal loads can not be determined
Isochore pressure internal load Wind external load pH,0 = +3,6kN/m2 or -3,6kN/m2 w = 1,5 kN/m² Climatic action internal load pc,0 = +12,0kN/m2 or -15,0kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
10
Worked example
Internal actions • Serviceability limit state design loads shall be determined
External actions • Ultimate limit state design loads for one variable action on the outer
pane shall be determined
0022111211 9090190 ,C,Hkkj,j
Gjj
kkj,Gj,d p,pQ,GQ,GF
0022211122 9090901 ,C,Hkkj,j
Gjj
kkj,Gj,d p,pQ,GQ,GF
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 151
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 511
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
11 11
Worked example
Design load on pane 1 (4mm toughened glass) SLS 1. Internal action (isochore pressure)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
11 12
Worked example
Design load on pane 1 (4mm toughened glass) SLS 1. Internal action (isochore pressure)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
pH,0 = ± 3,6 kN/m2
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
11 13
Worked example
Design load on pane 1 (4mm toughened glass) SLS 1. Internal action (isochore pressure)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
pH,0 = ± 3,6 kN/m2
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
fg,d = 61,5 MPa for toughened glass, altitude loads
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
12
Design load on pane 2 (6mm annealed glass) SLS 1. Internal action (isochore pressure)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
14
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
12
Design load on pane 2 (6mm annealed glass) SLS 1. Internal action (isochore pressure)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
15
Worked example
pH,0 = ± 3,6 kN/m2
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
12
Design load on pane 2 (6mm annealed glass) SLS 1. Internal action (isochore pressure)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
16
Worked example
pH,0 = ± 3,6 kN/m2
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
fg,d = 11,5 MPa for annealed glass, altitude loads
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
13 17
Worked example
Design load on pane 1 (4mm toughened glass) SLS 2. Internal action (isochore pressure + climatic action)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
13 18
Worked example
Design load on pane 1 (4mm toughened glass) SLS 2. Internal action (isochore pressure + climatic action)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
pH,0 = - 3,6 kN/m2
pc,0 = -15,0 kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
13 19
Worked example
Design load on pane 1 (4mm toughened glass) SLS 2. Internal action (isochore pressure + climatic action)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
fg,d = 65,3MPa for toughened glass, altitude load + climatic action
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
14
Design load on pane 2 (6mm annealed glass) SLS 2. Internal action (isochore pressure + climatic action)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
20
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
14
Design load on pane 2 (6mm annealed glass) SLS 2. Internal action (isochore pressure + climatic action)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
21
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
pH,0 = - 3,6 kN/m2
pc,0 = -15,0 kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
14
Design load on pane 2 (6mm annealed glass) SLS 2. Internal action (isochore pressure + climatic action)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
22
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
fg,d = 15,3 MPa for toughened glass, altitude load + climatic load
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
15
Design load on pane 1 (4mm toughened glass) SLS 3. External action (wind load)
• Deformation
23
Worked example Design load on pane 1 (4mm toughened glass) ULS 3. External action (wind load)
• Effective stress
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 151
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 101
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
15
Design load on pane 1 (4mm toughened glass) SLS 3. External action (wind load)
• Deformation
24
Worked example Design load on pane 1 (4mm toughened glass) ULS 3. External action (wind load)
• Effective stress
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 151
w = 1,5 kN/m2
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 101
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
15
Design load on pane 1 (4mm toughened glass) SLS 3. External action (wind load)
• Deformation
25
Worked example Design load on pane 1 (4mm toughened glass) ULS 3. External action (wind load)
• Effective stress
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
fg,d = 49,6 MPa for toughened glass, wind loads
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 151
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 101
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
15
Design load on pane 1 (4mm toughened glass) SLS 3. External action (wind load)
• Deformation
26
Worked example Design load on pane 1 (4mm toughened glass) ULS 3. External action (wind load)
• Effective stress
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
fg,d = 49,6 MPa for toughened glass, wind loads
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 151
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 101
w = 1,5 kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
15
Design load on pane 1 (4mm toughened glass) SLS 3. External action (wind load)
• Deformation
27
Worked example Design load on pane 1 (4mm toughened glass) ULS 3. External action (wind load)
• Effective stress
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
fg,d = 49,6 MPa for toughened glass, wind loads
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 151
kj,j
Gjj
kkj,Gj,d GQ,GF 2111211 101
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
16
Design load on pane 2 (6mm annealed glass) ULS 3. External action (wind load)
• Effective stress
Design load on pane 2 (6mm annealed glass) SLS 3. External action (wind load)
• Deformation
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 511
28
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 011
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
16
Design load on pane 2 (6mm annealed glass) ULS 3. External action (wind load)
• Effective stress
Design load on pane 2 (6mm annealed glass) SLS 3. External action (wind load)
• Deformation
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 511
29
Worked example
w = 1,5 kN/m2
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 011
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
16
Design load on pane 2 (6mm annealed glass) ULS 3. External action (wind load)
• Effective stress
Design load on pane 2 (6mm annealed glass) SLS 3. External action (wind load)
• Deformation
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 511
30
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
fg,d = 17,0 MPa for annealed glass, wind load
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 011
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
16
Design load on pane 2 (6mm annealed glass) ULS 3. External action (wind load)
• Effective stress
Design load on pane 2 (6mm annealed glass) SLS 3. External action (wind load)
• Deformation
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 511
31
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
fg,d = 17,0 MPa for annealed glass, wind load
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 011
w = 1,5 kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
16
Design load on pane 2 (6mm annealed glass) ULS 3. External action (wind load)
• Effective stress
Design load on pane 2 (6mm annealed glass) SLS 3. External action (wind load)
• Deformation
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 511
32
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
fg,d = 17,0 MPa for annealed glass, wind load
kj,j
Gjj
kkj,Gj,d GQ,GF 2211122 011
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
17 33
Worked example
Design load on pane 1 (4mm toughened glass) SLS 4. Combination (isochore pressure + climatic action + wind load)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
17 34
Worked example
Design load on pane 1 (4mm toughened glass) SLS 4. Combination (isochore pressure + climatic action + wind load)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
pH,0 = - 3,6 kN/m2
pc,0 = -15,0 kN/m2 w = 1,5 kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
17 35
Worked example
Design load on pane 1 (4mm toughened glass) SLS 4. Combination (isochore pressure + climatic action + wind load)
• Effective stress
• Deformation
00
22111211
90
90190
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
d,gdef fFhak 2
1
2
2
EF
hakw d
max 31
4
4
fg,d = 80,7 MPa for toughened glass, altitude load + climatic action + wind action
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
18
Design load on pane 2 (6mm annealed glass) SLS 2. Internal action (isochore pressure + climatic action+ wind load)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
36
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
18
Design load on pane 2 (6mm annealed glass) SLS 2. Internal action (isochore pressure + climatic action+ wind load)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
37
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
pH,0 = + 3,6 kN/m2
pc,0 = +12,0 kN/m2 w = 1,5 kN/m2
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
18
Design load on pane 2 (6mm annealed glass) SLS 2. Internal action (isochore pressure + climatic action+ wind load)
• Effective stress
• Deformation
00
22211122
90
90901
,C,H
kkj,j
Gjj
kkj,Gj,d
p,p
Q,GQ,GF
38
Worked example
d,gdef fFhak 2
2
2
2
EF
hakw d
max 32
4
4
fg,d = 30,7 MPa for toughened glass, altitude load + climatic load + wind load
Objectives
Aspect ratio
Coefficients and factors
Allowable stresses
Internal loads
Ultimate limit state
Serviceability limit state
19
Thank you for your kind attention
39
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