Embed Size (px)
DESCRIPTION
Modelling of Structures and Numerical Simulation
Citation preview
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
1
Fra
nk S
ch
eib
er, M
.Sc.
Modeling of Structures and
Numerical Simulation
Frank Scheiber, M.Sc.
Department of Steel Structures
Research Training Group 1462 – Model Quality Assessment
Berkaer Straße 9
Tel.: 03643 – 584112
E-Mail: [email protected]
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
2
Fra
nk S
ch
eib
er, M
.Sc.
Course times: Wednesday: 11:00 – 12:30
Wednesday: 13:30 – 15:00
Lectures: room 205
Seminars: pool luna blue
Examination requirement: weekly tasks
Examination: 3 hours written exam
Lectures: Prof. Dr.-Ing. habil. Frank Werner
Department of Steel Structures
Marienstraße 7a (Room 308)
Tel.: 03643 – 584444
E-Mail: [email protected]
Seminars: Frank Scheiber, M.Sc.
Research Training Group 1462 – Model Quality
Berkaer Straße 9
Tel.: 03643 – 584112
E-Mail: [email protected]
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
3
Fra
nk S
ch
eib
er, M
.Sc.
Content of the course:
Lectures: Theoretical background
Different models and there application
Geometric nonlinearities
Modeling of imperfections
Modeling and calculation of frames
Lateral torsional buckling
Warping torsion
Buckling of plates
Seminars: Practical application with software tools
Introduction to different software tools
Calculation of eigenmodes and eigenvalues
Modeling of frame structures
Lateral torsional buckling with software tools
Introduction to Finite-Elements
Buckling problems with Finite-Elements
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
4
Fra
nk S
ch
eib
er, M
.Sc.
Reality – Model – Code
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
5
Fra
nk S
ch
eib
er, M
.Sc.
Reality Engineering model
a) b) c) d)
Critical load – Engineering model: Steel S235, IPE 300, l = 2,90 m
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
6
Fra
nk S
ch
eib
er, M
.Sc.
Basement: Eurocode – DIN EN 1993
• current code for design of steel structures in the European Union
• mostly based on the old German code – DIN 18800
• general document for whole Europe + National annex for each
country
• English version available in library
DIN EN 1993 - 743864077
DIN EN 1993/NA - 743864654
Most of the hand calculations in the seminars and
examination are related to the code.
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
7
Fra
nk S
ch
eib
er, M
.Sc.
Stability failures of beams
Easiest way = Equivalent beam method
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
8
Fra
nk S
ch
eib
er, M
.Sc.
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
9
Fra
nk S
ch
eib
er, M
.Sc.
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
10
Fra
nk S
ch
eib
er, M
.Sc.
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
11
Fra
nk S
ch
eib
er, M
.Sc.
Experimental data as background of the buckling curves
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
12
Fra
nk S
ch
eib
er, M
.Sc.
Limits of equivalent beam theory:
Possible theories for this systems:
- Tapered beams
- Cross sections with different flange areas
- Complex structures
- Second Order Analysis – elastic
predeformation of the structural model
iterative system analysis
limitation of allowable stresses
- Second Order Analysis – elastic-plastic
plastic hinges after exceeding the stress limit state
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
13
Fra
nk S
ch
eib
er, M
.Sc.
Limit states of a structure
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
14
Fra
nk S
ch
eib
er, M
.Sc.
mit:
m = Number of loaded columns
Predeformation for 2nd Order Analysis - DIN EN 1993
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
15
Fra
nk S
ch
eib
er, M
.Sc.
Predeformation for 2nd Order Analysis - DIN EN 1993
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
16
Fra
nk S
ch
eib
er, M
.Sc.
Knicklinie
DIN 18800-2 DIN 1993-1-1 DIN 1993-1-1/NA
w0 e0,d / L e0 / L
a0 l / 350 1 / 350 1 / 900
a l / 300 1 / 300 1 / 550
b l / 250 1 / 250 1 / 350
c l / 200 1 / 200 1 / 250
d l / 150 1 / 150 1 / 150
Predeformation for elastic calculation – according to different codes
DIN 18800 vs. DIN EN 1993-1-1 vs. DIN EN 1993-1-1/NA
Civil & Structural Engineering
Bauhaus-Universität Weimar Modeling of Structures and Numerical Simulation - 2014
De
pa
rtm
en
t o
f S
tee
l S
tru
ctu
res
17
Fra
nk S
ch
eib
er, M
.Sc.
Centered loaded buckling beam:
