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IDEA StatiCa for Steel
Belgium Road Show
2
AGENDA for STEEL
First block (90 min)
1) Introduction (15 min)
2) Connection app (40 min)
3) Member app (35 min)
COFFEE BREAK (30 min)
Second Block (60 min)
4) BIM-links (45 min)
5) News in 21 and 22 (15 min)
3
1)
INTRODUCTION
3
Product Engineer
4
Jan Kubicek
Ján Kubíček
Structural Engineering in Brno
Several Engineering offices
Various project types
• Residential buildings
• Steel halls
• Industrial structures
• Bridges
• Nuclear plant
With IDEA StatiCa from 2018 / 2020
IDEA StatiCa Offices
5
What IDEA StatiCa does?
6
7
Not INSTEAD OF, but WITH…
Code-checks
Connections,
details,
complex
members
Specialized
tasks
Geotechnical
etc.
CAD/BIM
Drawings,
collaboration
FEA
Global model,
overall analysis,
member checks
Small tools,
Spreadsheets
SCIA Engineer, RFEM,
SAP2000, ETABS,
STAAD.Pro, Robot
Struct.analysis…
Tekla structures,
Advance steel,
Revit…
8
9 9
COEXISTENCES
CONNECTION MEMBER
CHECKBOT
BIM links
IOM = API
CONNECTION LITE
CLOUD VIEWER
Connection
Checkbot
Member
Conn.
Lite
Viewer
1010
Cloud viewer https://viewer.ideastatica.com/
1111
Connection Lite https://connection.ideastatica.com
12
AGENDA for STEEL
First block (90 min)
1) Introduction (15 min)
2) Connection app (40 min)
3) Member app (35 min)
COFFEE BREAK (30 min)
Second Block (60 min)
4) BIM-links (45 min)
5) News in 21 and 22 (15 min)
13
2)
CONNECTION
13
14
POLL
Have you ever used
IDEA Statica Connection app?
14
15
30 %
Complex
connections
70 %
Standard
connections
30 %
Standard
connections
70 %
Complex
connections
NUMBER OF CONNECTIONS TIME SPENT
15
16
Design books Advanced scientific model
Excel spreadsheet
Estimation (simplification)
Avoid using the joint
16
STANDARD
connections
COMPLEX
connections
1717
How it works:
• Members + components
• Shell model with NL springs
• Welds + bolts (restraints)
• Nodal loads - extrapolation
• Freedom of topology
• The speed of calculation
1818
HAND CALCULATION REAL BEHAVIOUR
19
Stress/strain analysis
What you can and should ASSESS?
Buckling analysis Stiffness analysis
Capacity design Design joint resistance
Overall check
19
CONNECTION STIFFNESS
21
POLL
How would you evaluated the
connection rotational stiffness of
these following examples?
21
• Pinned
• Rigid
• Semi-rigid
CONNECTION STIFFNESS
A B C
A B C
SEMI-RIGID PINNED SEMI-RIGID
CONNECTION STIFFNESS
CONNECTION STIFFNESS
CONNECTION STIFFNESS
CONNECTION STIFFNESS
CONNECTION STIFFNESS
BUCKLING ANALYSIS
THEORY
BUCKLING ANALYSIS
• IDEA StatiCa Connection is able to perform linear buckling analysis and provide the user
with the factor of the critical load and buckling shapes.
• Buckling analysis = geometrically linear analysis
It doesn´t take into account nonlinear analysis with imperfections
Important for thin-walled members: geometrically linear analysis is not sufficient
THEORY
BUCKLING ANALYSIS
According to EN 1993-1-1:2005 Cl. 5.2.1 the limit value is 15
𝛼CR =
𝐹CR
𝐹𝐸𝐷
≥ 15
THEORY
Global buckling
• buckling of whole members
(plate is elongation of member)
• Buckling factor: 𝜶cr ≥ 15
• buckling of individual plates
• Buckling factor: 𝜶cr ≥ 3
• Aplication depends on your
engineering judgement (not in
code)
Local buckling
IS THIS RESULT SUFFICIENT OR NOT?
PRE-DESIGN Feature
PRE-DESIGN Feature
Bolt distances
DEMO for PRE-DESIGN
✓ % tension / shear
resistence of
connected plate
✓ reasonable start
of the design according to
the preferences
36
AGENDA for STEEL
First block (90 min)
1) Introduction (15 min)
2) Connection app (40 min)
3) Member app (35 min)
COFFEE BREAK (30 min)
Second Block (60 min)
4) BIM-links (45 min)
5) News in 21 and 22 (15 min)
37
3)
MEMBER
37
INTRO
GLOBAL ANALYSIS (EN 1993-1-1, 5.2)
Deisgn and code-check of the structure (ULS, SLS,…)
First order analysis with the initial geometry
of the structure (standard constructions)
Second order analysis considering the
deformed geometry of the structure
(standard constructions)
𝛼𝑐𝑟 =
𝐹𝑐𝑟
𝐹𝐸𝑑
> 10
SECOND ORDER ANALYSIS
Verification of stability by introducing imperfections
and second-order effects
3 options:
1) Geometrically nonlinear solution of completely
imperfect construction (GNIA)
2) Horizontal forces multiplied by a factor
3) Using buckling lengths
INTRO
IMPERFECTIONS
Residual stresses and geometrical deviations from verticality, straightness, flatness, misalignment,
and various small eccentricities in joints
Global structure imperfections
• initial deformation / tilt
• application of tilt ∅ to the model of the whole constr.
Local imperfections of bars
• production deviations
• bending application e0 for a specific member / frame
INTRO
SECOND ORDER ANALYSIS
Analytical solution (option 3 – buckling
lenghts)
EN 1993-1-1
qb,Rd
Numerical solution (option 1 – GNIA)
IDEA StatiCa Member
qb,Rd,MemberFEM
VARIANT 1 – SIMPLE EXAMPLE
• Beam with pinned supports
• Cross section IPE 180
• S235 steel
• Line load 20 kN / m
• Span between supports 3.5m
VARIANT 1 – SIMPLE EXAMPLE
ANALYTICAL SOLUTION
SECOND ORDER ANALYSIS
43
Determine Mb,Rd – design buckling resistance moment
Analytical solution
44
Analytical solution
Determine Mcr - elastic critical moment
45
Steel beam
• IPE 180
• S 235
• Pinned supports
Analytical solution
46
Steel beam
• IPE 180
• S 235
• Pinned supports
Iy = 1,32.107 mm4
Wpl,y = 1,66.105 mm3
Iz = 1,01.106 mm4
Iw = 7,43.109 mm6
It = 4,78.104 mm4
Analytical solution
47
Steel beam
• IPE 180
• S 235
• Pinned supports
Iy = 1,32.107 mm4
Iz = 1,01.106 mm4
Iw = 7,43.109 mm6
It = 4,78.104 mm4
E = 210 GPa
G = 81 GPa
Analytical solution
48
Steel beam
• IPE 180
• S 235
• Pinned supports
Analytical solution
49
Steel beam
• IPE 180
• S 235
• Pinned supports
ky = 1
kz = 1
kw = 1
Analytical solution
50
Steel beam
• IPE 180
• S 235
• Pinned supports
Analytical solution
51
Steel beam
• IPE 180
• S 235
• Pinned supports
ky = 1
kz = 1
kw = 1
C1 = 1,13
Analytical solution
52
Steel beam
• IPE 180
• S 235
• Pinned supports
Analytical solution
53
Steel beam
• IPE 180
• S 235
• Pinned supports
ky = 1
kz = 1
kw = 1
C1 = 1,13
C2 = 0,459
C3 = 0,525
Analytical solution
54
Analytical solution
Steel beam
• IPE 180
za = 180/2 = 90 mm
zg = 0
zs = 0
zj = 0
55
Analytical solution
Determining factors – dimensionless parameter
kroucení
= 0,57
56
Analytical solution
Determining factors – dimensionless parameter
= 0,57
= 0,597
57
Analytical solution
Determining factors – dimensionless parameter
= 0,57
= 0,597
= 0
58
Analytical solution
Determining factors – dimensionless crictical factor μcr
= 1,027
59
Analytical solution
Determining factors – elastic critical moment Mcr
= 1,027
= 26,42 kNm
60
Analytical solution
Determining factors – slenderness parameter for lateral torsional buckling
= 1,027
= 26,42 kNm
= 1,215
where Wy = Wpl,y for given class 1
61
Analytical solution
Determining factors – imperfection factor for lateral torsional buckling curves
αLT = 0,21
62
Analytical solution
Determining factors – calculation parameter
αLT = 0,21
= 1,34
63
Analytical solution
Determining factors – reduction factor for lateral-torsional buckling
αLT = 0,21
= 1,41
= 0,52
but
64
Analytical solution
Design buckling resistance moment Mb,Rd
= 20,29 kNm
Design buckling resistence qb,Rd
Mb,Rd = 20,29 kNm
qb,Rd = 13,25 kN/m < q = 20 kN/m
1/8 ql2
The beam will fail due to buckling.
VARIANT 1 – SIMPLE EXAMPLE
ANALYTICAL SOLUTION
SECOND ORDER ANALYSIS
• Beam with pinned supports
• Cross section IPE 180
• S235 steel
• Line load 20 kN / m
• Span between supports 3.5m
• Columns HEA 400
• Length of the Member 3.89 m
VARIANT 1 – SIMPLE EXAMPLE
IDEA STATICA MEMBER
l = 3890 mm
IPE 180
HEA 400 HEA 400
SECOND ORDER ANALYSIS
VARIANT 1 – SIMPLE EXAMPLE
IDEA STATICA MEMBER
SECOND ORDER ANALYSIS
DEMO 1
VARIANT 1 – SIMPLE EXAMPLE
IDEA STATICA MEMBER
SECOND ORDER ANALYSIS
e0/L = 1/250
e0 = L/250
e0 = 3500/250
e0 = 14 mm
VARIANT 1 – SIMPLE EXAMPLE
IDEA STATICA MEMBER
SECOND ORDER ANALYSIS
Design buckling resistence qb,Rd,MemberFEM
q = 20 kN/m
qb,Rd,MemberFEM = 13,28 kN/m < q = 20 kN/m
The beam will fail due to buckling.
qb,Rd,MemberFEM = 20 . 0,664 = 13,28 kN/m
VARIANT 1 – SIMPLE EXAMPLE
IDEA STATICA MEMBER
SECOND ORDER ANALYSIS
Analytical solution (option 3 – buckling
lenghts)
EN 1993-1-1
qb,Rd = 13,25 kN/m
Numerical solution (option 1 – GNIA)
IDEA StatiCa Member
qb,Rd,MemberFEM = 13,28 kN/m
VARIANT 1 – SIMPLE EXAMPLE
COMPARISON
SECOND ORDER ANALYSIS
VARIANT 2 – COMPLEX EXAMPLE
Analytical solution (option 3 – buckling lenghts)
EN 1993-1-1
Numerical solution (option 1 – GNIA)
IDEA StatiCa Member
SECOND ORDER ANALYSIS
• Cross section IPE 180
• S235 steel
• Line load 20 kN/m
• Span between supports 3.5m
• Semi-rigid supports
• Haunch 200/600 mm
• 2 openings diameter 120 mm
• Local load 500 kN/m
VARIANT 2 – COMPLEX EXAMPLE
ANALYTICAL SOLUTION
SECOND ORDER ANALYSIS
VARIANT 2 – COMPLEX EXAMPLE
ANALYTICAL SOLUTION
EN 1993-1-1
• cl. 5.2.2 - 1 pages
• cl. 5.3 - 7 pages
• cl. 6.3 - 12 pages
• cl. 6.4 - 7 pages
• NB.3 - 4 pages
(EN 1999-1-1+A1) - 15 pages
EN 1993-1-5- 56 pages
87 pages
SECOND ORDER ANALYSIS
Stronger axis
ky
Weaker axis
kz
Warping
kw
Load resistance
qb,Rd [kN/m]
1 1 1 13.6
1 1 0.5 16.5
1 0.5 1 19.6
1 0.5 0.5 21.8
0.5 1 1 24.1
0.5 0.5 1 25.9
0.5 0.5 0.5 32.7
VARIANT 2 – COMPLEX EXAMPLE
ANALYTICAL SOLUTION
SECOND ORDER ANALYSIS
• Cross section IPE 180
• S235 steel
• Line load 20 kN / m
• Span between supports 3.5m
• Semi-rigid supports
• Haunch 200/600 mm
• 2 openings diameter 120 mm
• Local load 500 kN/m
VARIANT 2 – COMPLEX EXAMPLE
IDEA STATICA MEMBER
l = 3890 mm
IPE 180
HEA 400 HEA 400
SECOND ORDER ANALYSIS
DEMO 2
VARIANT 2 – COMPLEX EXAMPLE
IDEA STATICA MEMBER
SECOND ORDER ANALYSIS
VARIANT 2 – COMPLEX EXAMPLE
COMPARISON
Analytical solution (option 3 – buckling lenghts)
EN 1993-1-1
Extremely difficult to solve, risk of error
Numerical solution (option 1 – GNIA)
IDEA StatiCa Member
Analysis and code-check OK
SECOND ORDER ANALYSIS
CONCLUSION
ANALYTICAL SOLUTION
• Effective for simple cases
• For complex cases it is necessary to
estimate (stiffness of bearings, rises, holes,
loads, course of torque)
• Determine just the local imperfection
e0 from 1 table
• Complete assessment of the beam with
imperfections and the influence of
buckling
• Visual check!
IDEA STATICA MEMBER
IDEA STATICA MEMBER
1) Stand alone solution - model a selected member / frame, without the influence of global
imperfections, apply local imperfections
2) Via BIM link (SAP2000, Robot, RFEM,…) - import selected member / frame, import geometry
and loads including the influence of global imperfections, apply local imperfection
HOW TO USE IT?
IDEA STATICA MEMBER
82
AGENDA for STEEL
First block (90 min)
1) Introduction (15 min)
2) Connection app (40 min)
3) Member app (35 min)
COFFEE BREAK (30 min)
Second Block (60 min)
4) BIM-links (45 min)
5) News in 21 and 22 (15 min)

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1st block_BIM+NEWS in IDEA StatiCa Steel v22.0

  • 1. IDEA StatiCa for Steel Belgium Road Show
  • 2. 2 AGENDA for STEEL First block (90 min) 1) Introduction (15 min) 2) Connection app (40 min) 3) Member app (35 min) COFFEE BREAK (30 min) Second Block (60 min) 4) BIM-links (45 min) 5) News in 21 and 22 (15 min)
  • 4. Product Engineer 4 Jan Kubicek Ján Kubíček Structural Engineering in Brno Several Engineering offices Various project types • Residential buildings • Steel halls • Industrial structures • Bridges • Nuclear plant With IDEA StatiCa from 2018 / 2020
  • 7. 7 Not INSTEAD OF, but WITH… Code-checks Connections, details, complex members Specialized tasks Geotechnical etc. CAD/BIM Drawings, collaboration FEA Global model, overall analysis, member checks Small tools, Spreadsheets SCIA Engineer, RFEM, SAP2000, ETABS, STAAD.Pro, Robot Struct.analysis… Tekla structures, Advance steel, Revit…
  • 8. 8
  • 9. 9 9 COEXISTENCES CONNECTION MEMBER CHECKBOT BIM links IOM = API CONNECTION LITE CLOUD VIEWER Connection Checkbot Member Conn. Lite Viewer
  • 12. 12 AGENDA for STEEL First block (90 min) 1) Introduction (15 min) 2) Connection app (40 min) 3) Member app (35 min) COFFEE BREAK (30 min) Second Block (60 min) 4) BIM-links (45 min) 5) News in 21 and 22 (15 min)
  • 14. 14 POLL Have you ever used IDEA Statica Connection app? 14
  • 15. 15 30 % Complex connections 70 % Standard connections 30 % Standard connections 70 % Complex connections NUMBER OF CONNECTIONS TIME SPENT 15
  • 16. 16 Design books Advanced scientific model Excel spreadsheet Estimation (simplification) Avoid using the joint 16 STANDARD connections COMPLEX connections
  • 17. 1717 How it works: • Members + components • Shell model with NL springs • Welds + bolts (restraints) • Nodal loads - extrapolation • Freedom of topology • The speed of calculation
  • 19. 19 Stress/strain analysis What you can and should ASSESS? Buckling analysis Stiffness analysis Capacity design Design joint resistance Overall check 19
  • 21. 21 POLL How would you evaluated the connection rotational stiffness of these following examples? 21 • Pinned • Rigid • Semi-rigid
  • 23. A B C SEMI-RIGID PINNED SEMI-RIGID CONNECTION STIFFNESS
  • 29. THEORY BUCKLING ANALYSIS • IDEA StatiCa Connection is able to perform linear buckling analysis and provide the user with the factor of the critical load and buckling shapes. • Buckling analysis = geometrically linear analysis It doesn´t take into account nonlinear analysis with imperfections Important for thin-walled members: geometrically linear analysis is not sufficient
  • 30. THEORY BUCKLING ANALYSIS According to EN 1993-1-1:2005 Cl. 5.2.1 the limit value is 15 𝛼CR = 𝐹CR 𝐹𝐸𝐷 ≥ 15
  • 31. THEORY Global buckling • buckling of whole members (plate is elongation of member) • Buckling factor: 𝜶cr ≥ 15 • buckling of individual plates • Buckling factor: 𝜶cr ≥ 3 • Aplication depends on your engineering judgement (not in code) Local buckling
  • 32. IS THIS RESULT SUFFICIENT OR NOT?
  • 35. DEMO for PRE-DESIGN ✓ % tension / shear resistence of connected plate ✓ reasonable start of the design according to the preferences
  • 36. 36 AGENDA for STEEL First block (90 min) 1) Introduction (15 min) 2) Connection app (40 min) 3) Member app (35 min) COFFEE BREAK (30 min) Second Block (60 min) 4) BIM-links (45 min) 5) News in 21 and 22 (15 min)
  • 38. INTRO GLOBAL ANALYSIS (EN 1993-1-1, 5.2) Deisgn and code-check of the structure (ULS, SLS,…) First order analysis with the initial geometry of the structure (standard constructions) Second order analysis considering the deformed geometry of the structure (standard constructions) 𝛼𝑐𝑟 = 𝐹𝑐𝑟 𝐹𝐸𝑑 > 10
  • 39. SECOND ORDER ANALYSIS Verification of stability by introducing imperfections and second-order effects 3 options: 1) Geometrically nonlinear solution of completely imperfect construction (GNIA) 2) Horizontal forces multiplied by a factor 3) Using buckling lengths INTRO
  • 40. IMPERFECTIONS Residual stresses and geometrical deviations from verticality, straightness, flatness, misalignment, and various small eccentricities in joints Global structure imperfections • initial deformation / tilt • application of tilt ∅ to the model of the whole constr. Local imperfections of bars • production deviations • bending application e0 for a specific member / frame INTRO
  • 41. SECOND ORDER ANALYSIS Analytical solution (option 3 – buckling lenghts) EN 1993-1-1 qb,Rd Numerical solution (option 1 – GNIA) IDEA StatiCa Member qb,Rd,MemberFEM VARIANT 1 – SIMPLE EXAMPLE
  • 42. • Beam with pinned supports • Cross section IPE 180 • S235 steel • Line load 20 kN / m • Span between supports 3.5m VARIANT 1 – SIMPLE EXAMPLE ANALYTICAL SOLUTION SECOND ORDER ANALYSIS
  • 43. 43 Determine Mb,Rd – design buckling resistance moment Analytical solution
  • 44. 44 Analytical solution Determine Mcr - elastic critical moment
  • 45. 45 Steel beam • IPE 180 • S 235 • Pinned supports Analytical solution
  • 46. 46 Steel beam • IPE 180 • S 235 • Pinned supports Iy = 1,32.107 mm4 Wpl,y = 1,66.105 mm3 Iz = 1,01.106 mm4 Iw = 7,43.109 mm6 It = 4,78.104 mm4 Analytical solution
  • 47. 47 Steel beam • IPE 180 • S 235 • Pinned supports Iy = 1,32.107 mm4 Iz = 1,01.106 mm4 Iw = 7,43.109 mm6 It = 4,78.104 mm4 E = 210 GPa G = 81 GPa Analytical solution
  • 48. 48 Steel beam • IPE 180 • S 235 • Pinned supports Analytical solution
  • 49. 49 Steel beam • IPE 180 • S 235 • Pinned supports ky = 1 kz = 1 kw = 1 Analytical solution
  • 50. 50 Steel beam • IPE 180 • S 235 • Pinned supports Analytical solution
  • 51. 51 Steel beam • IPE 180 • S 235 • Pinned supports ky = 1 kz = 1 kw = 1 C1 = 1,13 Analytical solution
  • 52. 52 Steel beam • IPE 180 • S 235 • Pinned supports Analytical solution
  • 53. 53 Steel beam • IPE 180 • S 235 • Pinned supports ky = 1 kz = 1 kw = 1 C1 = 1,13 C2 = 0,459 C3 = 0,525 Analytical solution
  • 54. 54 Analytical solution Steel beam • IPE 180 za = 180/2 = 90 mm zg = 0 zs = 0 zj = 0
  • 55. 55 Analytical solution Determining factors – dimensionless parameter kroucení = 0,57
  • 56. 56 Analytical solution Determining factors – dimensionless parameter = 0,57 = 0,597
  • 57. 57 Analytical solution Determining factors – dimensionless parameter = 0,57 = 0,597 = 0
  • 58. 58 Analytical solution Determining factors – dimensionless crictical factor μcr = 1,027
  • 59. 59 Analytical solution Determining factors – elastic critical moment Mcr = 1,027 = 26,42 kNm
  • 60. 60 Analytical solution Determining factors – slenderness parameter for lateral torsional buckling = 1,027 = 26,42 kNm = 1,215 where Wy = Wpl,y for given class 1
  • 61. 61 Analytical solution Determining factors – imperfection factor for lateral torsional buckling curves αLT = 0,21
  • 62. 62 Analytical solution Determining factors – calculation parameter αLT = 0,21 = 1,34
  • 63. 63 Analytical solution Determining factors – reduction factor for lateral-torsional buckling αLT = 0,21 = 1,41 = 0,52 but
  • 64. 64 Analytical solution Design buckling resistance moment Mb,Rd = 20,29 kNm
  • 65. Design buckling resistence qb,Rd Mb,Rd = 20,29 kNm qb,Rd = 13,25 kN/m < q = 20 kN/m 1/8 ql2 The beam will fail due to buckling. VARIANT 1 – SIMPLE EXAMPLE ANALYTICAL SOLUTION SECOND ORDER ANALYSIS
  • 66. • Beam with pinned supports • Cross section IPE 180 • S235 steel • Line load 20 kN / m • Span between supports 3.5m • Columns HEA 400 • Length of the Member 3.89 m VARIANT 1 – SIMPLE EXAMPLE IDEA STATICA MEMBER l = 3890 mm IPE 180 HEA 400 HEA 400 SECOND ORDER ANALYSIS
  • 67. VARIANT 1 – SIMPLE EXAMPLE IDEA STATICA MEMBER SECOND ORDER ANALYSIS
  • 68. DEMO 1 VARIANT 1 – SIMPLE EXAMPLE IDEA STATICA MEMBER SECOND ORDER ANALYSIS
  • 69. e0/L = 1/250 e0 = L/250 e0 = 3500/250 e0 = 14 mm VARIANT 1 – SIMPLE EXAMPLE IDEA STATICA MEMBER SECOND ORDER ANALYSIS
  • 70. Design buckling resistence qb,Rd,MemberFEM q = 20 kN/m qb,Rd,MemberFEM = 13,28 kN/m < q = 20 kN/m The beam will fail due to buckling. qb,Rd,MemberFEM = 20 . 0,664 = 13,28 kN/m VARIANT 1 – SIMPLE EXAMPLE IDEA STATICA MEMBER SECOND ORDER ANALYSIS
  • 71. Analytical solution (option 3 – buckling lenghts) EN 1993-1-1 qb,Rd = 13,25 kN/m Numerical solution (option 1 – GNIA) IDEA StatiCa Member qb,Rd,MemberFEM = 13,28 kN/m VARIANT 1 – SIMPLE EXAMPLE COMPARISON SECOND ORDER ANALYSIS
  • 72. VARIANT 2 – COMPLEX EXAMPLE Analytical solution (option 3 – buckling lenghts) EN 1993-1-1 Numerical solution (option 1 – GNIA) IDEA StatiCa Member SECOND ORDER ANALYSIS
  • 73. • Cross section IPE 180 • S235 steel • Line load 20 kN/m • Span between supports 3.5m • Semi-rigid supports • Haunch 200/600 mm • 2 openings diameter 120 mm • Local load 500 kN/m VARIANT 2 – COMPLEX EXAMPLE ANALYTICAL SOLUTION SECOND ORDER ANALYSIS
  • 74. VARIANT 2 – COMPLEX EXAMPLE ANALYTICAL SOLUTION EN 1993-1-1 • cl. 5.2.2 - 1 pages • cl. 5.3 - 7 pages • cl. 6.3 - 12 pages • cl. 6.4 - 7 pages • NB.3 - 4 pages (EN 1999-1-1+A1) - 15 pages EN 1993-1-5- 56 pages 87 pages SECOND ORDER ANALYSIS
  • 75. Stronger axis ky Weaker axis kz Warping kw Load resistance qb,Rd [kN/m] 1 1 1 13.6 1 1 0.5 16.5 1 0.5 1 19.6 1 0.5 0.5 21.8 0.5 1 1 24.1 0.5 0.5 1 25.9 0.5 0.5 0.5 32.7 VARIANT 2 – COMPLEX EXAMPLE ANALYTICAL SOLUTION SECOND ORDER ANALYSIS
  • 76. • Cross section IPE 180 • S235 steel • Line load 20 kN / m • Span between supports 3.5m • Semi-rigid supports • Haunch 200/600 mm • 2 openings diameter 120 mm • Local load 500 kN/m VARIANT 2 – COMPLEX EXAMPLE IDEA STATICA MEMBER l = 3890 mm IPE 180 HEA 400 HEA 400 SECOND ORDER ANALYSIS
  • 77. DEMO 2 VARIANT 2 – COMPLEX EXAMPLE IDEA STATICA MEMBER SECOND ORDER ANALYSIS
  • 78. VARIANT 2 – COMPLEX EXAMPLE COMPARISON Analytical solution (option 3 – buckling lenghts) EN 1993-1-1 Extremely difficult to solve, risk of error Numerical solution (option 1 – GNIA) IDEA StatiCa Member Analysis and code-check OK SECOND ORDER ANALYSIS
  • 79. CONCLUSION ANALYTICAL SOLUTION • Effective for simple cases • For complex cases it is necessary to estimate (stiffness of bearings, rises, holes, loads, course of torque) • Determine just the local imperfection e0 from 1 table • Complete assessment of the beam with imperfections and the influence of buckling • Visual check! IDEA STATICA MEMBER
  • 80. IDEA STATICA MEMBER 1) Stand alone solution - model a selected member / frame, without the influence of global imperfections, apply local imperfections 2) Via BIM link (SAP2000, Robot, RFEM,…) - import selected member / frame, import geometry and loads including the influence of global imperfections, apply local imperfection HOW TO USE IT?
  • 82. 82 AGENDA for STEEL First block (90 min) 1) Introduction (15 min) 2) Connection app (40 min) 3) Member app (35 min) COFFEE BREAK (30 min) Second Block (60 min) 4) BIM-links (45 min) 5) News in 21 and 22 (15 min)