Presses universitaires de Louvain
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20220118
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COM.ONIXSUITE.9782875588050
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Presses universitaires de Louvain
01
SKU
98961
02
2875588052
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9782875588050
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9782875588050
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BC
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<TitleType>01</TitleType>
<TitleText>Thèses de l'Université catholique de Louvain (UCL)</TitleText>
Thèses de la Faculté d'architecture, d'ingénierie architecturale, d'urbanisme
<TitleType>01</TitleType>
<TitleText textcase="01">Graphical limit state analysis</TitleText>
<Subtitle textcase="01">Application to statically indeterminate trusses, beams and masonry arches</Subtitle>
01
GCOI
29303100801240
1
A01
Jean-François Rondeaux
Rondeaux, Jean-François
Jean-François
Rondeaux
<p>Jean-François Rondeaux graduated in 2006 from the School of Engineering of theUCLouvain (EPL) with a Master in Architectural Engineering. As practitioner in structuralengineering, he has also been teaching at the Faculty of Architecture, ArchitecturalEngineering, Urban planning (LOCI), where he conducted his research on graphical limitstate analysis under the supervision of Prof. Denis Zastavni.</p>
1
01
eng
166
00
166
03
TEC021000
TG
29
2012
3071
Génie civil
24
INTERNET
Science des matériaux et procédés
01
06
01
<p>The art of structural design requires specific methods and tools. One of those consists<br />
in modelling the structural behaviour through a network of straight bars, whether<br />
in compression (struts) or in tension (ties), and in expressing its static equilibrium<br />
through classic graphic statics reciprocal diagrams: a form diagram describing the<br />
geometry of a strut-and-tie network and a force diagram representing the vector<br />
equilibrium of its nodes.<br />
When it comes to statically indeterminate structures, the lower-bound theorem of<br />
Plasticity avoids any overestimation of the load bearing capacity, which allows the<br />
designer to select one of the possible equilibrium states.<br />
Considering that a limit state analysis of these indeterminate equilibriums can better<br />
support the design process when it shares the same graphical environment, the thesis<br />
consists in proposing a graphical methodology for constructing a parametric force<br />
diagram resulting from the combination of independent force diagrams. The stress<br />
distribution is then modified by manipulating the relative position of some vertices<br />
of the force diagram until it reaches limit states; hence, the possibility of identifying<br />
the collapse state and the corresponding load bearing capacity of various types of<br />
structures such as pin-jointed trusses, beams or masonry arches.<br />
The analysis of the admissible geometrical domains for these specific vertices allows<br />
a better understanding of the behaviour of statically indeterminate structures at<br />
limit state and may be helpful when designing them.</p>
03
<p>The art of structural design requires specific methods and tools. One of those consists<br />
in modelling the structural behaviour through a network of straight bars, whether<br />
in compression (struts) or in tension (ties), and in expressing its static equilibrium<br />
through classic graphic statics reciprocal diagrams: a form diagram describing the<br />
geometry of a strut-and-tie network and a force diagram representing the vector<br />
equilibrium of its nodes.<br />
When it comes to statically indeterminate structures, the lower-bound theorem of<br />
Plasticity avoids any overestimation of the load bearing capacity, which allows the<br />
designer to select one of the possible equilibrium states.<br />
Considering that a limit state analysis of these indeterminate equilibriums can better<br />
support the design process when it shares the same graphical environment, the thesis<br />
consists in proposing a graphical methodology for constructing a parametric force<br />
diagram resulting from the combination of independent force diagrams. The stress<br />
distribution is then modified by manipulating the relative position of some vertices<br />
of the force diagram until it reaches limit states; hence, the possibility of identifying<br />
the collapse state and the corresponding load bearing capacity of various types of<br />
structures such as pin-jointed trusses, beams or masonry arches.<br />
The analysis of the admissible geometrical domains for these specific vertices allows<br />
a better understanding of the behaviour of statically indeterminate structures at<br />
limit state and may be helpful when designing them.</p>
02
The art of structural design requires specific methods and tools. One of those consists in modelling the structural behaviour through a network of straight bars, whether in compression (struts) or in tension (ties), and in expressing its static equilibrium through classic graphic statics reciprocal diagrams...
01
<p>The art of structural design requires specific methods and tools. One of those consists in modelling the structural behaviour through a network of straight bars, whether in compression (struts) or in tension (ties), and in expressing its static equilibrium through classic graphic statics reciprocal diagrams: a form diagram describing the geometry of a strut-and-tie network and a force diagram representing the vector equilibrium of its nodes.<br />
When it comes to statically indeterminate structures, the lower-bound theorem of Plasticity avoids any overestimation of the load bearing capacity, which allows the designer to select one of the possible equilibrium states.<br />
Considering that a limit state analysis of these indeterminate equilibriums can better support the design process when it shares the same graphical environment, the thesis consists in proposing a graphical methodology for constructing a parametric force diagram resulting from the combination of independent force diagrams. The stress distribution is then modified by manipulating the relative position of some vertices of the force diagram until it reaches limit states; hence, the possibility of identifying the collapse state and the corresponding load bearing capacity of various types of<br />
structures such as pin-jointed trusses, beams or masonry arches.<br />
The analysis of the admissible geometrical domains for these specific vertices allows a better understanding of the behaviour of statically indeterminate structures at limit state and may be helpful when designing them.</p>
03
<p>The art of structural design requires specific methods and tools. One of those consists in modelling the structural behaviour through a network of straight bars, whether in compression (struts) or in tension (ties), and in expressing its static equilibrium through classic graphic statics reciprocal diagrams: a form diagram describing the geometry of a strut-and-tie network and a force diagram representing the vector equilibrium of its nodes.<br />
When it comes to statically indeterminate structures, the lower-bound theorem of Plasticity avoids any overestimation of the load bearing capacity, which allows the designer to select one of the possible equilibrium states.<br />
Considering that a limit state analysis of these indeterminate equilibriums can better support the design process when it shares the same graphical environment, the thesis consists in proposing a graphical methodology for constructing a parametric force diagram resulting from the combination of independent force diagrams. The stress distribution is then modified by manipulating the relative position of some vertices of the force diagram until it reaches limit states; hence, the possibility of identifying the collapse state and the corresponding load bearing capacity of various types of<br />
structures such as pin-jointed trusses, beams or masonry arches.<br />
The analysis of the admissible geometrical domains for these specific vertices allows a better understanding of the behaviour of statically indeterminate structures at limit state and may be helpful when designing them.</p>
02
The art of structural design requires specific methods and tools. One of those consists in modelling the structural behaviour through a network of straight bars, whether in compression (struts) or in tension (ties), and in expressing its static equilibrium through classic graphic statics reciprocal diagrams...
04
<p>Introduction 21<br />
1 Plastic design and limit state analysis 27<br />
1.1 Structural design and analysis . . . . . . . . . . . . . . . . 27<br />
1.2 Theory of Plasticity . . . . . . . . . . . . . . . . . . . . . 29<br />
1.3 Fundamental theorems of Plasticity . . . . . . . . . . . . . 32<br />
1.4 Limit state analysis . . . . . . . . . . . . . . . . . . . . . . 35<br />
1.4.1 Kinematic versus geometric views of statics . . . . 35<br />
1.4.2 Kinematic approaches and upper-bound theorem . 38<br />
1.4.3 Static approaches and lower-bound theorem . . . . 42<br />
1.4.4 Complete limit state analysis . . . . . . . . . . . . 43<br />
1.5 Plastic design . . . . . . . . . . . . . . . . . . . . . . . . . 45<br />
2 Strut-and-tie modelling using graphic statics 51<br />
2.1 Strut-and-tie networks for structural analysis and design . 51<br />
2.2 Classical graphic statics . . . . . . . . . . . . . . . . . . . 54<br />
2.2.1 From parallelogram of forces to form and force diagrams<br />
. . . . . . . . . . . . . . . . . . . . . . . . . 54<br />
2.2.2 Graphical analysis through reciprocal diagrams . . 56<br />
2.2.3 Elasticity and static indeterminacy . . . . . . . . . 59<br />
2.3 Graphical tools for interactive structural design . . . . . . 64<br />
3 Reciprocal diagrams and static indeterminacy 69<br />
3.1 Static indeterminacy in structural design . . . . . . . . . . 69<br />
3.2 Static indeterminacy as a combination of independent stress<br />
states . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73<br />
3.3 Geometrical freedom of force diagrams . . . . . . . . . . . 77<br />
3.4 Limit state analysis using reciprocal diagrams . . . . . . . 82<br />
3.5 Designing with indeterminate force diagrams . . . . . . . 89<br />
4 Pin-jointed trusses 95<br />
4.1 Working hypotheses . . . . . . . . . . . . . . . . . . . . . 95<br />
4.2 Complete graphical limit state analysis . . . . . . . . . . . 96<br />
4.3 Optimization procedure on the force diagram . . . . . . . 105<br />
4.4 Case studies: internally and externally statically indeterminate<br />
trusses . . . . . . . . . . . . . . . . . . . . . . . . . . 109<br />
4.5 Perspectives . . . . . . . . . . . . . . . . . . . . . . . . . . 117<br />
17<br />
5 Beams 123<br />
5.1 Bending and funicular polygons . . . . . . . . . . . . . . . 123<br />
5.2 Statically admissible limit states of funiculars polygons . . 129<br />
5.3 Admissible geometrical domains . . . . . . . . . . . . . . . 137<br />
5.4 Case studies: statically indeterminate beams . . . . . . . 156<br />
6 Masonry arches 167<br />
6.1 Kinematic and static methods for structural assessment of<br />
masonry arches: a short overview . . . . . . . . . . . . . . 167<br />
6.2 Conciliating lower bound theorem and thrust line theory:<br />
the equilibrium approach . . . . . . . . . . . . . . . . . . 176<br />
6.3 Admissible geometrical domains . . . . . . . . . . . . . . . 178<br />
6.4 Graphical safety of masonry arches . . . . . . . . . . . . . 187<br />
6.4.1 Stability under self-weight . . . . . . . . . . . . . . 189<br />
6.4.2 Stability related to the abutments . . . . . . . . . 195<br />
6.5 Current work and perspectives . . . . . . . . . . . . . . . 196<br />
Conclusion 201<br />
List of Figures 205<br />
References 225</p>
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https://pul.uclouvain.be/resources/titles/29303100801240/images/df7ee89b6f8ec5827a19ecbaff5d4cd2/HIGHQ/9782875588050.jpg
20190522
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https://pul.uclouvain.be/book/?GCOI=29303100801240
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Presses universitaires de Louvain
01
06
3052405007518
Presses universitaires de Louvain
Louvain-la-Neuve
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