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8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
An Introduction to Instabilities
By
PhD, PE, IWwww.L
email: W.Laufs@L
Civil Engineering DColumbia University Ne
http://www.laufsed.com/http://www.laufsed.com/
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview CIEN E4213 – 6:50pm Tuesdays – 644 MUDD
TA: Christos Vlachos [email protected]
Lecture 01) Sept 02 2014 ‘Introduction of Buckling’
Lecture 02) Sept 09 2014 ‘Euler Cases – part 1 (Columns)’ Lecture 03) Sept 16 2014 ‘Euler Cases – part 2 (Frames)’ Lecture 04) Sept 23 2014 ‘Euler Cases – part 3 (Wired Systems)Lecture 05) Sept 30 2014 ‘Stability Theory for Structures’
Lecture 06) Oct 07 2014 ‘Arches and Snap-through’ Lecture 07) Oct 14 2014 ‘Second Order Theory Buckling’ Lecture 08) Oct 21 2014 ‘Lateral Torsional Buckling’
• Mid- term Oct 28 2014 no classLecture 09) Nov 04 2014 ‘Plate Buckling’ Lecture 10) Nov 11 2014 ‘Cylinder Buckling’ Lecture 11) Nov 18 2014 ‘Stability of Dome & Shell Structures’
Lecture 12) Nov 25 2014 ‘Inelastic Buckling of Structures’
Lecture 13) Dec 02 2014 ‘Review Session’, test exam example Lecture 14) Dec 09 2014 ‘Final Exam’, open- book
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
grade perc
su
Course Overview CIEN E4213 – 6:50pm Tuesdays – 644 MUDD
homework and overall grades:
Sept 02 2014 homework 01 engineering history
Sept 09 2014 homework 02 timber column buckling
Sept 23 2014 homework 03 masonry column buckling/steel frame buckling
Oct 28 2014 mid- term closed book exam
Nov 04 2014 homework 04 plate buckling/flexural torsional buckling/lateral torsional buckling/snap-through
Dec 02 2014 review session test exam example
Dec 09 2014 final exam open- book
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
02) Euler Cases – part 1 (Columns)
8/15/2019 2014 Lecture 01 Introduction of Buckling
5/29CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
02) Euler Cases – part 2 (Frames)
L c o l u m n
E I
c o l u m n
E I
c o l u m n
Lbeam
EIbeam
PP
hinged
hinged
First Buckling Mode:‘anti-
metrical’
8/15/2019 2014 Lecture 01 Introduction of Buckling
6/29CIEN E4213 – Buckling of Structures, Lecture 01
Full Frames, relocatable (2D problem)
(= not supported in plane of frame x-x):
1st buckling mode is anti-metrical !
l = 3.0
(anti-metric)
l = 24.6
(symmetric)
l = 30.8(anti-metric)
l = 86.4
(symmetric)
lP lP
EI beam
EI column
no support in x-x
8/15/2019 2014 Lecture 01 Introduction of Buckling
7/29CIEN E4213 – Buckling of Structures, Lecture 01
l = 24.6
(symmetric)
l = 29.4
(anti-metric)
lP lP
EI beam
EI column
l = 86.4(symmetric)
l = 93.2
(anti-metric)
support in x-x
Full Frames, non- relocatable (2D problem)
(= supported in plane of frame x-x):
1st buckling mode is symmetrical !
8/15/2019 2014 Lecture 01 Introduction of Buckling
8/29CIEN E4213 – Buckling of Structures, Lecture 01
Practical Example: Arcapita Bank BuildingBahrain Bay, Middle East
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
04) Euler Cases – part 3 (Wired Systems)
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Practical Example: DS8 Cable FacadeCanary Wharf, London
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
05) Stability Theory for Structures
4 elements
100 elemen
400 eleme
Finite element me
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Practical Example: Wintergarden Slava MoscowMoscow, Russia
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8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
06) Arches and Snap-through
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Physics sense:
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
07) Second Order Theory Buckling
Torsional Mode
Sway Mode
Combined Mode
Second ordercorrection term
Second order First order
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
08) Lateral Torsional Buckling
Simply supported beamunder flexion
Lateral and torsionaldeflation of the section
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CIEN E4213 – Buckling of Structures, Lecture 01
Practical Example: Glass Mullions for AirportCharles de Gaulle, Paris France
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
09) Plate Buckling
8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
von Kármán solution:
Presentation of the software RSTAB
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8/15/2019 2014 Lecture 01 Introduction of Buckling
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
11) Stability of Dome & Shell Structures
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CIEN E4213 – Buckling of Structures, Lecture 01
Practical Example: Dome & Barrel VaultHurlingham Club London
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
12) Inelastic Buckling of Structures
Ideal elasto-plastic behavior Impact on buckling critical loa
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CIEN E4213 – Buckling of Structures, Lecture 01
Course Overview
13) Review Session
14) Final Exam
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CIEN E4213 – Buckling of Structures, Lecture 01
Reference Literature:
1. Timoshenko, S.P & Gere, J.M., ‘Theory of Elastic Stability’, McGraw-Hill, 2nd Edition, New-York, 1961
2. Allen, H.G. & Bulson, P.S., ‘Background to Buckling’, McGraw-Gill, London, 1980
3. Thompson, J.M.T. & Hunt, G.W., ‘ A General Theory of Elastic Stability ’, John Wiley & Sons, London, 1973
4. Petersen, ‘Statik und Stabilitaet der Baukonstruktionen’, Vieweg, Wiesbaden, 1982
5. C. Massonnet, ‘Résistance des matériaux’, Dunod, Paris, 1963
6. Theory of Elastic Stability, S. Timoshenko, McGraw Hill.
7. Buckling Strength of Metal Structures, F. and H. Bleich, McGraw Hill.
8. Structural Stability, W.F. Chen and E.M. Lui, Prentice-Hall.
9. Stability Design of Steel Frames, W.F. Chen and E.M. Lui, CRC Press.
10. Buckling of Bars, Plates and Shells, D. Brush and B.O. Almorth, McGraw Hill.
11. Principles of Structural Stability Theory, A. Chajes, Prentice Hall.
12. Principles of Structural Stability, H. Ziegler, Blaisdell.
13. An Introduction to the Elastic Stability of Structures, G. Simitses, Prentice Hall
14. Dynamic Stability of Suddenly Loaded Structures, G. Simitses, Springer Verlag 1990.
15. Thin Wall Sections, A. Gjelsvik, John Wiley.
16. Flexural-Torsional Buckling of Structures, N.S. Trahair, CRC Press 1993.
17. The Stability of Frames, M.R. Horne and W. Merchant, Pregamon.
18. Buckling of Shells for Engineers, L. Kollar, E. Dulacska, John Wiley, 1984.
19. Elastic Instability Phenomena, J.M.T. Thompson, G.W. Hunt, John Wiley.
20. Structural Stability of Columns and Plates, N.G.R. Iyengar, Ellis Horwood/John Wiley.
21. Theory of Stability of Continuous Elastic Structures, M. Como, A. Grimaldi, CRC Press 1995.
22. Stability of Structures, Z. Bazant, L. Cedolin, Oxford.
H k 01
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CIEN E4213 – Buckling of Structures, Lecture 01
Homework 01
given: excitement for “Architectural Engineering”
required: choose a relevant structural engineer of present or past;choose one of his/her building structures that you admire
deliverables: prepare a short presentation of the person and building structure,subjectively briefly explain technical, cultural & esthetic relevance
format: one single pdf (saved to dropbox) with all group member namespresentation (powerpoint or similar) to class
note: give special attention to the quality of graphic presentation (clarity,originality, layout etc. – good graphics do support content!up to 6 pages max
due: evening Mon Sept 6th
team: groups allowed up to 3 students