plastic design with hss beams - the steel construction
TRANSCRIPT
![Page 1: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/1.jpg)
1Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic design with HSS beams
Design requirements for the application of plastic design of beams made of high strength steel
![Page 2: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/2.jpg)
2Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic global analysis
https://havitsteelstructure.com/steel-structure-detail/
![Page 3: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/3.jpg)
3Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic Design in EC 3-1-1Cross-section requirements for plastic global analysis
• Class 1 cross-section
EC 3-1-1 – Section 5.6
![Page 4: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/4.jpg)
4Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic Design in EC 3-1-1Cross-section requirements for plastic global analysis
• Class 1 cross-section
EC 3-1-1 – Section 5.6
EC 3-1-1 / EC3-1-12:
Plastic global analysis can beapplied for conventionalstrength steel, not for high strength steel.
→ STROBE-Project
→ Effects of material non-linearity
![Page 5: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/5.jpg)
5Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic global analysis• Allows for effects of material non-linearity when calculating action effects
Example: Formation of plastic collapse mechanism
EC 3-1-1 – Section 5.4.3
![Page 6: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/6.jpg)
6Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic global analysis• Allows for effects of material non-linearity when calculating action effects
Example: Formation of plastic collapse mechanism
EC 3-1-1 – Section 5.4.3
• Realistic determination of load bearing capacity → More economic design
![Page 7: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/7.jpg)
7Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic global analysis• Allows for effects of material non-linearity when calculating action effects
Example: Formation of plastic collapse mechanism
EC 3-1-1 – Section 5.4.3
• Realistic determination of load bearing capacity → More economic design
• Stability of members has to be guaranteed EC 3-1-1 – Section 6.3.5
![Page 8: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/8.jpg)
8Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic global analysis• Allows for effects of material non-linearity when calculating action effects
Example: Formation of plastic collapse mechanism
EC 3-1-1 – Section 5.4.3
• Realistic determination of load bearing capacity → More economic design
• Stability of members has to be guaranteed
• A sufficient rotation capacity of the members has to be ensured
EC 3-1-1 – Section 6.3.5
EC 3-1-1 – Section 5.6
![Page 9: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/9.jpg)
9Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic Design in EC 3-1-1Cross-section requirements for plastic global analysis
• The member has Class 1 cross-sections:
EC 3-1-1 – Section 5.6
Web
• Additional regulations referring to application of stiffeners, fastener holes, etc. 𝜀 =
235
𝑓𝑦, 𝑓𝑦 in
𝑁
𝑚𝑚2
![Page 10: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/10.jpg)
10Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Plastic Design in EC 3-1-1Cross-section requirements for plastic global analysis
• The member has Class 1 cross-sections:
EC 3-1-1 – Section 5.6
FlangeWeb
• Additional regulations referring to application of stiffeners, fastener holes, etc. 𝜀 =
235
𝑓𝑦, 𝑓𝑦 in
𝑁
𝑚𝑚2
![Page 11: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/11.jpg)
11Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Definition of Rotation CapacityRotation Capacity
• Class 1 members of CSS show a sufficient Rotation Capacity → How is that defined?
• Experiments / Simulations / Approximation formula
![Page 12: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/12.jpg)
12Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Definition of Rotation CapacityRotation Capacity
• Class 1 members of CSS show a sufficient Rotation Capacity → How is that defined?
• Experiments / Simulations / Approximation formula
• The background of EC 3-1-1 used R = 3 as requirement for Class 1
• Different systems require different rotation capacities R
![Page 13: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/13.jpg)
13Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Definition of Rotation CapacityRotation Capacity
• Class 1 members of CSS show a sufficient Rotation Capacity → How is that defined?
• Experiments / Simulations / Approximation formula
• The background of EC 3-1-1 used R = 3 as requirement for Class 1
• Different systems require different rotation capacities R
High Strength Steels and Plastic Design
• Plastic global analysis is until now not allowed for steel grades over S460 to S700
→ HSS are assumed to have too poor rotation capacities
EC 3-1-12 – Section 2.1 about 5.4.3
![Page 14: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/14.jpg)
14Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Experimental InvestigationsExperimental rotation tests on beams: HSS beams can own sufficient rotation capacity
• 20 tests on I-shaped beams: 2 S355, 8 S690, 10 hybrid S690/S355
• Different slenderness properties (𝑐
𝑡) and lengths
![Page 15: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/15.jpg)
15Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
0
100
200
300
400
500
600
0.0 0.1 0.2 0.3 0.4
Mo
men
t [k
Nm
]
Rotation [rad]
Mpl
ϕpl ϕrot
Experimental InvestigationsExperimental rotation tests on beams: HSS beams can own sufficient rotation capacity
• 20 tests on I-shaped beams: 2 S355, 8 S690, 10 hybrid S690/S355
• Different slenderness properties (𝑐
𝑡) and lengths
[mm]
![Page 16: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/16.jpg)
16Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
0
100
200
300
400
500
600
0.0 0.1 0.2 0.3 0.4
Mo
men
t [k
Nm
]
Rotation [rad]
Mpl
ϕpl ϕrot
Experimental InvestigationsExperimental rotation tests on beams: HSS beams can own sufficient rotation capacity
• 20 tests on I-shaped beams: 2 S355, 8 S690, 10 hybrid S690/S355
• Different slenderness properties (𝑐
𝑡) and lengths
[mm]
![Page 17: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/17.jpg)
17Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
0
100
200
300
400
500
600
0.0 0.1 0.2 0.3 0.4
Mo
men
t [k
Nm
]
Rotation [rad]
Mpl
ϕpl ϕrot
Experimental InvestigationsExperimental rotation tests on beams: HSS beams can own sufficient rotation capacity
• 20 tests on I-shaped beams: 2 S355, 8 S690, 10 hybrid S690/S355
• Different slenderness properties (𝑐
𝑡) and lengths
[mm]
![Page 18: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/18.jpg)
18Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
0
100
200
300
400
500
600
0.0 0.1 0.2 0.3 0.4
Mo
men
t [k
Nm
]
Rotation [rad]
Mpl
ϕpl ϕrot
Experimental InvestigationsExperimental rotation tests on beams: HSS beams can own sufficient rotation capacity
• 20 tests on I-shaped beams: 2 S355, 8 S690, 10 hybrid S690/S355
• Different slenderness properties (𝑐
𝑡) and lengths
[mm]
![Page 19: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/19.jpg)
19Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0 1 2 3 4 5 6
M/M
pl[-
]
ϕ/ϕpl [-]
Mpl
ϕplϕrot
Experimental InvestigationsExperimental rotation tests on beams: HSS beams can own sufficient rotation capacity
• 20 tests on I-shaped beams: 2 S355, 8 S690, 10 hybrid S690/S355
• Different slenderness properties (𝑐
𝑡) and lengths
Ract = 4.3 > 3
[mm]
![Page 20: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/20.jpg)
20Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Numerical SimulationsNumerical simulations of beams: HSS beams can own sufficient rotation capacity
• Simulations of tests with FE-models including plastic material and damage criterion
0
100
200
300
400
500
600
700
800
900
0.00 0.05 0.10 0.15 0.20 0.25
Mo
men
t [k
Nm
]
Rotation [rad]
S109_Test
S109_FE
Mpl
ϕpl ϕrot
M-φ behaviour ✓
![Page 21: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/21.jpg)
21Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Numerical SimulationsNumerical simulations of beams: HSS beams can own sufficient rotation capacity
• Simulations of tests with FE-models including plastic material and damage criterion
0
100
200
300
400
500
600
700
800
900
0.00 0.05 0.10 0.15 0.20 0.25
Mo
men
t [k
Nm
]
Rotation [rad]
S109_Test
S109_FE
Mpl
ϕpl ϕrot
M-φ behaviour ✓
Deformation and local buckling ✓
![Page 22: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/22.jpg)
22Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Numerical SimulationsNumerical simulations of beams: HSS beams can own sufficient rotation capacity
• Simulations of tests with FE-models including plastic material and damage criterion
0
100
200
300
400
500
600
700
800
900
0.00 0.05 0.10 0.15 0.20 0.25
Mo
men
t [k
Nm
]
Rotation [rad]
S109_Test
S109_FE
Mpl
ϕpl ϕrot
M-φ behaviour ✓
Deformation and local buckling ✓
Crack initiation and growth ✓
![Page 23: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/23.jpg)
23Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Numerical SimulationsNumerical simulations of beams: HSS beams can own sufficient rotation capacity
• Simulations of tests with FE-models including plastic material and damage criterion
• Parametric study: 780 Simulations
0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0 2 4 6 8 10
M/
Mp
l[-
]
ϕ/ϕpl [-]
S690_MW_MW_25_050_025S690_MW_MW_25_050_050S690_MW_MW_25_050_075S690_MW_MW_25_050_100S690_MW_MW_25_075_025S690_MW_MW_25_075_050S690_MW_MW_25_075_075S690_MW_MW_25_075_100S690_MW_MW_25_100_025S690_MW_MW_25_100_050S690_MW_MW_25_100_075S690_MW_MW_25_100_100
![Page 24: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/24.jpg)
24Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Numerical SimulationsNumerical simulations of beams: HSS beams can own sufficient rotation capacity
• Simulations of tests with FE-models including plastic material and damage criterion
• Parametric study: 780 Simulations
• Material: S500, S690
• 9 true stress strain curves per material
• 4 slenderness properties (𝑐
𝑡) web
• 3 slenderness properties (𝑐
𝑡)
• Homogeneous and hybrid 0.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0 2 4 6 8 10
M/
Mp
l[-
]
ϕ/ϕpl [-]
S690_MW_MW_25_050_025S690_MW_MW_25_050_050S690_MW_MW_25_050_075S690_MW_MW_25_050_100S690_MW_MW_25_075_025S690_MW_MW_25_075_050S690_MW_MW_25_075_075S690_MW_MW_25_075_100S690_MW_MW_25_100_025S690_MW_MW_25_100_050S690_MW_MW_25_100_075S690_MW_MW_25_100_100
![Page 25: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/25.jpg)
25Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Outcome of Parametric Study
0
2
4
6
8
10
12
14
16
0 2.5 5 7.5 10
Ro
tati
on
ca
pa
city
R [
-]
Flange slenderness c/(tε) [-]
Damage
No damage
R=3
Influence of slenderness properties on Rotation Capacity:
![Page 26: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/26.jpg)
26Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Outcome of Parametric Study
0
2
4
6
8
10
12
14
16
0 2.5 5 7.5 10
Ro
tati
on
ca
pa
city
R [
-]
Flange slenderness c/(tε) [-]
Damage
No damage
R=3
0
2
4
6
8
10
12
14
16
0 20 40 60 80
Ro
tati
on
ca
pa
city
R [
-]
Web slenderness c/(tε) [-]
Damage
No damage
R=3
Influence of slenderness properties on Rotation Capacity:
![Page 27: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/27.jpg)
27Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Outcome of Parametric Study
0
2
4
6
8
10
12
14
16
0 2.5 5 7.5 10
Ro
tati
on
ca
pa
city
R [
-]
Flange slenderness c/(tε) [-]
Damage
No damage
R=3
0
2
4
6
8
10
12
14
16
0 20 40 60 80
Ro
tati
on
ca
pa
city
R [
-]
Web slenderness c/(tε) [-]
Damage
No damage
R=3
Influence of slenderness properties on Rotation Capacity:
• Distinct influence of web slenderness
![Page 28: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/28.jpg)
28Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Outcome of Parametric Study
0
2
4
6
8
10
12
14
16
0 2.5 5 7.5 10
Ro
tati
on
ca
pa
city
R [
-]
Flange slenderness c/(tε) [-]
Damage
No damage
R=3
0
2
4
6
8
10
12
14
16
0 20 40 60 80
Ro
tati
on
ca
pa
city
R [
-]
Web slenderness c/(tε) [-]
Damage
No damage
R=3
Influence of slenderness properties on Rotation Capacity:
• Distinct influence of web slenderness
Rotation
Rotation capacity is sufficient for most cases
Stricter requirements for HSS are necessary
![Page 29: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/29.jpg)
29Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
0
2
4
6
8
10
12
14
16
0 20 40 60 80
Ro
tati
on
ca
pa
city
R [
-]
Web slenderness c/(tε) [-]
Damage
No damage
R=3
0
2
4
6
8
10
12
14
16
0 2.5 5 7.5 10
Ro
tati
on
ca
pa
city
R [
-]
Flange slenderness c/(tε) [-]
Damage
No damage
R=3
Design RequirementsExemplary Approach: Stricter Class 1 limits for HSS
60e
8e
![Page 30: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/30.jpg)
30Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleDesigning a two-span beam with HSS using plastic design
S690bf = 120 mm tf = 12 mmhw = 225 mm tw = 10 mmaw = 3 mm
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 31: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/31.jpg)
31Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleDesigning a two-span beam with HSS using plastic design
S690bf = 120 mm tf = 12 mmhw = 225 mm tw = 10 mmaw = 3 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1*
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1*
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 32: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/32.jpg)
32Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleDesigning a two-span beam with HSS using plastic design
S690bf = 120 mm tf = 12 mmhw = 225 mm tw = 10 mmaw = 3 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1*
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1*
𝑀𝑝𝑙 = 276.9 𝑘𝑁𝑚 < 𝑀𝐸𝑑 = 332.9 𝑘𝑁𝑚 (from elastic analysis)
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 33: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/33.jpg)
33Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleDesigning a two-span beam with HSS using plastic design
S690bf = 120 mm tf = 12 mmhw = 225 mm tw = 10 mmaw = 3 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1*
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1*
𝑀𝑝𝑙 = 276.9 𝑘𝑁𝑚 < 𝑀𝐸𝑑 = 332.9 𝑘𝑁𝑚 (from elastic analysis)
→ Plastic Design necessary
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 34: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/34.jpg)
34Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleDesigning a two-span beam with HSS using plastic design
S690bf = 120 mm tf = 12 mmhw = 225 mm tw = 10 mmaw = 3 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1*
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1*
𝑀𝑝𝑙 = 276.9 𝑘𝑁𝑚 < 𝑀𝐸𝑑 = 332.9 𝑘𝑁𝑚
→ Plastic Design necessary
𝑃𝑝𝑙𝑒𝑙 = 341 𝑘𝑁 (First order elastic analysis)
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 35: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/35.jpg)
35Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleDesigning a two-span beam with HSS using plastic design
S690bf = 120 mm tf = 12 mmhw = 225 mm tw = 10 mmaw = 3 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1*
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1*
𝑀𝑝𝑙 = 276.9 𝑘𝑁𝑚 < 𝑀𝐸𝑑 = 332.9 𝑘𝑁𝑚
→ Plastic Design necessary
𝑃𝑝𝑙𝑒𝑙 = 341 𝑘𝑁 (First order elastic analysis)
𝑃𝑝𝑙𝑝𝑙= 341 𝑘𝑁 + 74 𝑘𝑁 = 415 𝑘𝑁 > 410 𝑘𝑁
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 36: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/36.jpg)
36Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleUsing S355:
S690 → S355bf = 120 mm → 135 mm tf = 12 mm → 15 mmhw = 225 mm → 300 mmtw = 10 mm → 12 mmaw = 3 mm → 4 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1 → 3.7 < 9→ Class 1
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1 → 24.1 < 72→ Class 1
𝑀𝑝𝑙 = 276.9 𝑘𝑁𝑚 → 274.4 𝑘𝑁𝑚 < 𝑀𝐸𝑑 = 332.9 𝑘𝑁𝑚
→ Plastic Design necessary
𝑃𝑝𝑙𝑒𝑙 = 341 𝑘𝑁 → 338 𝑘𝑁𝑚
𝑃𝑝𝑙𝑝𝑙= 341 𝑘𝑁 + 74 𝑘𝑁 = 415 𝑘𝑁→ 338 𝑘𝑁 + 74 𝑘𝑁 = 412 𝑘𝑁 > 410 𝑘𝑁
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
![Page 37: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/37.jpg)
37Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Design ExampleUsing S355:
S690 → S355bf = 120 mm → 135 mm tf = 12 mm → 15 mmhw = 225 mm → 300 mmtw = 10 mm → 12 mmaw = 3 mm → 4 mm
Flange 𝑐
𝑡∙𝜀= 4.2 < 8→ Class 1 → 3.7 < 9→ Class 1
Web 𝑐
𝑡∙𝜀= 21.7 < 60→ Class 1 → 24.1 < 72→ Class 1
𝑀𝑝𝑙 = 276.9 𝑘𝑁𝑚 → 274.4 𝑘𝑁𝑚 < 𝑀𝐸𝑑 = 332.9 𝑘𝑁𝑚
→ Plastic Design necessary
𝑃𝑝𝑙𝑒𝑙 = 341 𝑘𝑁 → 338 𝑘𝑁𝑚
𝑃𝑝𝑙𝑝𝑙= 341 𝑘𝑁 + 74 𝑘𝑁 = 415 𝑘𝑁→ 338 𝑘𝑁 + 74 𝑘𝑁 = 412 𝑘𝑁 > 410 𝑘𝑁
𝑷𝑬𝒅 = 𝟒𝟏𝟎 𝒌𝑵
Rotation
S690
S355
Use of S355 instead of S690→ 50% more weight
Additional checks needede.g. Deformation limits
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38Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Conclusions
• Plastic Design - Realistic determination of load bearing capacity
→ Economic design
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39Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Conclusions
• Plastic Design - Realistic determination of load bearing capacity
→ Economic design
• Rotation capacity depends on various influencing factors
• High strength steel can own sufficient rotation capacity
![Page 40: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/40.jpg)
40Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Conclusions
• Plastic Design - Realistic determination of load bearing capacity
→ Economic design
• Rotation capacity depends on various influencing factors
• High strength steel can own sufficient rotation capacity
• Limitations for plastic design with HSS are necessary
![Page 41: Plastic design with HSS beams - The Steel Construction](https://reader034.vdocuments.us/reader034/viewer/2022042204/6258a328459f692fa33b5daa/html5/thumbnails/41.jpg)
41Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
Conclusions
• Plastic Design - Realistic determination of load bearing capacity
→ Economic design
• Rotation capacity depends on various influencing factors
• High strength steel can own sufficient rotation capacity
• Limitations for plastic design with HSS are necessary
• Combination of plastic design and HSS → Even more economic design
• Using HSS in stead of CSS can lead to weight, carbon and cost savings
https://www.sweepstandard.org/
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42Webinar Series: Structural Design of High Strength SteelsSTROBE: Stronger Steels in the Built Environment EU RFCS Research Project 743504
www.stb.rwth-aachen.de
Thank you for your attention.
Felix EybenM.Sc.
Mies-van-der-Rohe-Str. 152074 Aachen | GERMANY
+49 241 80-25182
www.stb.rwth-aachen.de
https://www.archdaily.com/
Helen BartschM.Sc.
Mies-van-der-Rohe-Str. 152074 Aachen | GERMANY
+49 241 80-23595
www.stb.rwth-aachen.de