Module a Structural Analysis Suscos 2013 2014 l1 Wa

8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa

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L1 Structural modelling - Examples of application to steel structures.

European Erasmus Mundus

Master Course

Sustainable Constructions

under Natural Hazards

and Catastrophic Events

Conceptual Designof Buildings

2

Module A Structural Analysis

List of contents

Introduction and

learning

outcomes

Program course

modules

Bibliography

Standards

Calculations tools

Planned learningactivities and

assessment

methods

Structural

modelling

Examples of

application to steel

structures

Conceptual design of buildings mandatory course unit with 6 credits

allocated.

At the end of the unit, the students should be able to conceptually design

a steel or a composite steel-concrete building, by hand calculations and

using structural analysis software, in accordance with the relevant

Eurocodes.

Mode of delivery Frontal lessons, design projects and home work.

Local for work out of lessons Classroom R.125

Website of ArGEnCo Dpt Access to all information relating to the

discipline.

Other support services Administrative services, ArGEnCo MSF

secretariat, cafeteria, canteen, among others.


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Master Course

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under Natural Hazards



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Module A Structural analysisTo review concepts and application of linear and nonlinear analysis in the context of

building frame systems. To familiarise the students with structural analysis including

second-order effects and plasticity.Contact Hours: 9 h

Module B General concepts for the design of steel structuresTo introduce the design philosophy and procedures of Eurocode 3.

Contact Hours: 8 h

Module C Design of steel members and jointsTo provide the theoretical background and the detailed design procedures for thedesign of steel members, joints and components.

Contact Hours: 15 h

Module D Design of composite members and jointsTo provide the theoretical background and the detailed design procedures for the

design of composite members and joints in accordance with Eurocode 4.Contact Hours: 15 h

Module E Integrated design of buildingsDuring this module the students have to achieve one design work.

Contact Hours: 20.5 h

Time Schedule

List of contents

Introduction and

learning outcomes

Program course

modules

Bibliography

Standards

Calculations tools

Planned learning

activities andassessment

methods

Structural

modelling

Examples of


structures


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Recommended books or required reading

Simes da Silva L., Simes R., Gervsio, H.: Design of steel structures.

ECCS Eurocode Design Manuals, ECCS and Ernst & Sohn, 2010, 438 p.

Jaspart, J. P. and Weynand, K.: Design of joints for steel and steel-concrete

structures, ECCS, Ernst & Sohn and Wiley, 2012.

Johnson R. P.: Composite structures of steel and concrete, 3rd edition,

Blackwell Publishing, 2004.

Trahair N. S., Bradford M. A., Nerthercot D. A., Gardner L.: The behaviour

and design of steel structures to EC3. Taylor & Francis, 2008, 490 p.

Balio G., Mazzolani F. M.: Design of steel structures, FNSpon, London,

1999. Hirt, M. A. and Bez, R. Construction Mtallique, Notions Fondamentales et

Mthodes de Dimensionnement, Trate de Gnie Civil, vol. 10, Press

Polytechniques et Universitaires Romandes, Lausanne, 2006.

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures


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Standards

Design of Steel and Composite Structures

EN 1993-1-1 Design of steel structures Part 1.1: General rules and rulesfor buildings.

EN 1993-1-8 Design of steel structures Part 1.8: Design of joints.

EN 1994-1-1 Design of composite steel and concrete structures - Part 1-1:

General rules and rules for buildings.

Complementary Eurocodes

EN 1990 Basis of structural design.

EN 1991-1-1, 3, 4, 5, 6, 7 Actions on structures - General actions -

Densities, Self-weight, Imposed loads for

buildings, Snow loads, Wind loads, Thermalactions, Actions during execution, Accidental

actions.

EN 1090-2 Execution of Steel and Aluminium Structures.

Part 2: Execution of Steel Structures.

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures


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Calculation tools

OSSA2D structural analysis software (freely available for students); ECCS

EC3 Steel Member Calculator; LTBeam; SemiComp Member Design; COP,among others.

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations

tools

Planned learningactivities and

assessment

methods

Structural

modelling

Examples of


structures


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures

Module A Structural analysis

Frontal lectures.

Students (groups of 2 students) have to resolve a small problem (1st

project)that includes modelling and analysis of 2D framed structures by various

methods of analysis (first-order elastic, buckling analysis, second-order elastic

and first-order plastic).

Module B General concepts for the design of steel structures

Frontal lectures.

Module C Design of steel members and joints

Frontal lectures.

Module D Design of composite members and joints

Frontal lectures.Module E Integrated structural design of buildings

Frontal lectures.

Students have to achieve (groups of 2 students) the design of a particular

building on the basis of assumed realistic design requirements 2nd project.


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures

Assessment methods and criteria

The assessment includes the following evaluations:

- 1st project rated to 2/20 values.

- 2nd project, including a oral presentation/justification rated to 8/20 values;

- written final exam at the end of the course rated to 10/20 values

(minimum 50%).


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures

Current design process of a bui lding:

Conception and pre-design

the structure (geometry and

material):

Structural model (analytical,

computational, numerical,

experimental,)

Analysis of structure

Check members and

joints

Final project (design

reports, drawings,

etc


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures

The model of a structure should reproduce, as better as possible, the real

structural conditions. To achieve these purposes, the designer has to deal in

a correct way, with some of the following aspects:

type of members: linear, two-dimensional or

three-dimensional;

uniform or non-uniform elements;

curved members;

influence of member axis;

eccentricities;

support conditions;

joints (rigid, flexible,.);

loading (point loading, distributed loading,

indirect loading, );

among others.


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structuresBi-dimensional elements

Alternative ways of modellingslabs (stiffness in its own plan).

i) Modelling with linear, two-dimensional

or three-dimensional elements

Linear elements


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


structures

ii) Influence of member axisIn general the structures are modelled based on centroid axis of members,

because normative expressions are derived with respect to the centroid of

the section.

- If loads are not applied in the centroid of the sections (figure below) it is

necessary to take into account additional forces (in this case a bending

moment) due to the eccentricity.

PN

ePM

C

C

'

'

P

CA

CA

e

P


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of

application to steelstructures

- Eccentricity in relation to shear centre.

y

z

Cg

e

p

L

Mz Vz

My Vy

Mt

pL2/8

pL/2

pLe/2

0

0

pL/2

pLe/2

CgCc

Torsional moment diagram


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


LC

LR

LC

LR

A A B B

h h

MA->MAM = 9,75% for h/LC = 0.05; M = 19% for h/LC = 0.1.

Disp. at span v = 19% for h/LC = 0.05; v = 34.4% for h/LC = 0.1.

- Eccentricities in connections.


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


- Influence of the dimension of supports.

Rounding of bending moment takinginto account the distribut ion of shearforce in the bearing length.


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


iv) Elements with non-uniform sections or curved axis

ho

c

p

L

Real structure

Mesh with 3 elements

Mesh with 10 elements

L = 10 m; p =10 kN/m; E = 210 GPa; b = 0.20 m; h0 = 0.50 m

(m)


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List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


jCd

Mj,Rd

Mj

Sj

i) Stiffness (Sj)

ii) Bending resistance (Mj,Rd)

iii ) Rotation capacity (cd)

The stif fness of a connection may besimulated by a spring with rotationalstiffness Sj

M j,EdEd

90

Mz

My

Vz

Vy

N

Mt

v) Influence of joints

Sj


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EXAMPLE 1

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of

application tosteel structures

Consider the steel frame (E = 210 GPa and S 275) subjected to the indicated loading,

already factored. Assume that the column base jo ints are r ig id. Determine the des ign

internal forces and displacements considering the following approaches.

025.0CLhFrame with

10 m

5 m

5 mHEA260

HEA260 HEA260

HEA260

IPE400

IPE400

14.8 kN

204 kN

33.6 kN/m

45 kN/m

253.5 kN

204 kN

253.5 kN

18.2 kN

a) Modelling the structure with

linear elements:

a.1) r igid beam-column joints,

without considering the effectof eccentricities;

a.2) r igid beam-column joints,

considering the effect of

eccentricities;

a.3) flexible beam-columnjoints wi th rotational st iffness

50000 kNm/rad, without the

effect of eccentricities.


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EXAMPLE 1

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


a.1) a.2)

Short member with a solid cross

section with 200x400 mm2

4006.4

I PE

Node detail

Exc.


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EXAMPLE 1

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


Cross sections defined to show the results

10 m

5 m

5 m

1 2 3 3

4 4 5 6 6

1

2

5

4

1

6

3


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Mz(kNm) Vy(kN) Nx(kN) (mm)

1 - - - -1 235.85 208.80 35.24 11.96

2 247.31 10.58 35.24 41.87

3 338.99 229.95 35.24 12.15

3 - - - -

4 - - - -

4 158.04 158.51 88.47 22.97

5 215.45 5.29 88.47 40.776 209.59 169.09 88.47 22.48

6 - - - -



EXAMPLE 1

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


a.1) without eccentricities:

Mz(kNm) Vy(kN) Nx(kN) (mm)

1 256.45 208.93 34.54 12.231 230.33 208.93 34.54 12.23

2 253.46 10.45 34.54 43.40

3 332.20 229.82 34.54 12.42

3 360.93 229.82 34.54 12.43

4 174.12 158.48 87.03 23.70

4 154.31 158.48 87.03 23.70

5 219.02 5.32 87.03 41.66

6 206.18 169.12 87.03 23.22

6 227.32 169.12 87.03 23.21

a.2) with eccentric ities:

My Vz

My Vz

decrease of 2.4% and1.6% at the midspanmoments of bothbeams.

decrease of 3.6% and2.1% in the vertical

displacements .

025.0CLh

Low differences


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EXAMPLE 1

List of contents

Introduction and

learning outcomes

Program course

modulesBibliography

Standards

Calculations tools

Planned learning


methods

Structural

modelling

Examples of


a.3) beam-column joints with a rotational sti ffness equal to 50 000 kNm/rad:

My(kNm) Vz(kNm) Nx(kNm) (mm)

1 218.8 215.5 29.7 14.3

2 295.7 10.3 29.7 54.4

3 314.4 234.6 29.7 14.4

4 148.4 162.5 77.1 29.2

5 244.0 6.1 77.1 48.2

6 203.5 173.5 77.1 28.7

Internal forces and displacements

increase of 16.7% and 11.4% at the midspanmoments of both beams (first and second level,

respectively).

increase of 25% and 15.7% in the verticaldisplacements.


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This lecture was prepared for the Edition 1 of SUSCOS(2012/14) by RUI SIMES (UC) and FLOREA DINU (UPT).

Adaptations brought by J.P. Jaspart (Ulg)for Edition 2 of SUSCOS

The SUSCOS powerpoints are covered by copyright and are for the exclusive useby the SUSCOS teachers in the framework of this Erasmus Mundus Master. They

may be improved by the various teachers throughout the different editions.


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Thank you

for your attention

http://steel.fsv.cvut.cz/suscos

Module a Structural Analysis Suscos 2013 2014 l1 Wa

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