Download Concrete Buildings Examples PDF

TitleConcrete Buildings Examples
TagsBending Beam (Structure) Structural Load Structural Engineering
File Size9.1 MB
Total Pages186
Document Text Contents
Page 1

Report EUR xxxxx EN

2 0 1 4

Authors:
F.Biasioli, G.Mancini, M.Just, M.Curbach, J.Walraven,
S.Gmainer, J.Arrieta, R.Frank, C.Morin, F.Robert

Editors:
F.Biasioli, M.Poljanšek, B.Nikolova, S.Dimova, A.Pinto

EUROCODE 2: BACKGROUND & APPLICATIONS
DESIGN OF CONCRETE BUILDINGS

Worked examples

Report EUR 26566 EN

www.nitropdf.comPage 1 of 186

Page 2

European Commission
Joint Research Centre
Institute for the Protection and Security of the Citizen

Contact information
Address: Joint Research Centre, Via Enrico Fermi 2749, TP 480, 21027 Ispra (VA), Italy
E-mail: [email protected]
Tel.: +39 0332 78 9989
Fax: +39 0332 78 9049

http://ipsc.jrc.ec.europa.eu/
http://www.jrc.ec.europa.eu/



Legal Notice
Neither the European Commission nor any person acting on behalf of the Commission
is responsible for the use which might be made of this publication.

Europe Direct is a service to help you find answers to your questions about the European Union
Freephone number (*): 00 800 6 7 8 9 10 11
(*) Certain mobile telephone operators do not allow access to 00 800 numbers or these calls may be billed.


A great deal of additional information on the European Union is available on the Internet.
It can be accessed through the Europa server http://europa.eu/.

JRC89037

EUR 26566 EN

ISBN 978-92-79-36548-5

ISSN 1831-9424

doi:10.2788/35386

Luxembourg: Publications Office of the European Union, 2014

© European Union, 2014

Reproduction is authorised provided the source is acknowledged.

Printed in Italy

www.nitropdf.comPage 2 of 186

Page 93

Limit state design (ULS-SLS)
J. Walraven and S. Gmainer



81

where

1 (0,35 ) 1,0 and 1,0.
200 150

ck ud Ed
φ ef r

ud bal

f n nλ
K φ K

n n


      




and

0
,

0

( ) .
Eqp

ef t
Ed

M
φ φ

M


where

 , 2 or 3tφ final creep ratio

0

0

Eqp

Ed

M

M
is the ratio between permanent load to design load.

Bending moment including second order effects

0

42
0,010m 10mm

4384
Ed

Ed

M
e

N
   

At least the maximum of {l0 / 20, b / 20 or 20 mm} should be taken for e0. So the maximum e0 value is:

0

500
25mm.

20 20

b
e   

0 0

1 2 1 1
; 1; 0,5 (1 ) 1 1 1 0,005

200 1 2004
h mθ α α θ           

4000
0,005 10mm

2
ie   

0,3 2
2 0,4

1,5 2
efφ


  




30 22,1
1 (0,35 ) 0,4 1,14

200 150
φK      

0,03 435
1 1 1,65

20
yd

ud
cd

ρf
n

f


    

The reinforcing ratio estimated value is ρ = 0,03.

2

4384000
0,88

500 20
Ed

Ed
c cd

N
n

A f
  




nbal = 0,4 for concrete classes up to C50/60

1,65 0,88
0,62

1,65 0,4
rK


 




www.nitropdf.comPage 93 of 186

Page 94

Limit state design (ULS-SLS)
J. Walraven and S. Gmainer



82

3

500
1,15

2,17 10
200000

yd
yd

s

f
ε

E
   

2 3

2 2

3200 2,17 10
1,14 0,62 14mm

0,25 454
e

π


    




34384 (25 10 14) 10 214,82kNmtotM
     

Column reinforcement

For the reinforcement of the column, the interaction diagram for a symmetric reinforced rectangular
cross section is used. The diagram is valid for reinforcing steel with fck = 500 N/mm².

2
Ed

Ed
cd

M
μ

bh f
 (3.39)

Ed
Ed

cd

N
ν

bhf
 (3.40)

, 1 2;Ed Ed tot s tot s s tot
yd

cd

bh
μ ν ω A A A ω

f

f

     (3.41)

6 3

3 2

214,82 10 4384 10
0,086; 0,877

30 30
500 500

1,5 1,5

Ed Edμ ν
  

    
 



The "-" is conventionally used for the compression force NEd.

1 46 0,092 0,10 0,20
500

tot

d
ω

h
    

So the diagram (Figure 3.2.35) with the ratio d1 / h = 0,10 can be used.

2

, 1 2

500
0,20 2299 mm²

435
20

s tot s sA A A     → e.g. 8ϕ20 = 2513 mm²

The maximum and minimum areas are:

,min

0,10 0,10 4384000
1008 mm²

500
1,15

Ed
s

yd

N
A

f


   2,max 0,04 0,04 500 10000mm²s cA A   

The calculation of the column reinforcement has been carried out for the most unfavourable direction.
The bending moment in the other direction is only slightly smaller (Figure 3.2.32). Therefore, without
further calculation, in the other direction 8ϕ20 are also used, leading to the reinforcement configuration
in Figure 3.2.36.

www.nitropdf.comPage 94 of 186

Page 185

European Commission
EUR 26566 EN – Joint Research Centre – Institute for the Protection and Security of the Citizen

Title: Eurocode 2: DESIGN OF CONCRETE BUILDINGS

Author(s): Francesco Biasioli, Giuseppe Mancini, Martin Just, Manfred Curbach, Just Walraven, Sausanne Gmainer,

Jose Arrieta, Roger Frank, Caroline Morin, Fabienne Robert
Editors: Francesco Biasioli, Martin Poljanšek, Borislava Nikolova, Silvia Dimova, Artur V. Pinto


Luxembourg: Publications Office of the European Union

2014 – 182 pp. – 21.0 x 29.7 cm

EUR – Scientific and Technical Research series – ISSN 1831-9424

ISBN 978-92-79-36548-5

doi:10.2788/35386



Abstract

This document is a report with worked examples presenting step-by-step the design of a reinforced concrete cast on
site building following Eurocode 2. The design process has been divided between different authors, some of whom
were involved in the preparation and/or assessment of Eurocode 2. Each chapter of the report focuses on a different
step in the design process: conceptual design, structural analyses, limit states design and verification, detailing of the
reinforcement as well as some geotechnical aspects of building design. Last chapter gives general overview of the fire
design according to the Eurocodes.

The materials were prepared and presented at the workshop “Eurocode 2: Design of Concrete Buildings” held on
20-21 October 2011 in Brussels, Belgium. The workshop was organized by JRC with the support of DG ENTR and CEN,
and in collaboration with CEN/TC250/Sub-Committee 2.

The document is part of the Report Series ‘Support to the implementation, harmonization and further development of
the Eurocodes’ prepared by JRC in collaboration with DG ENTR and CEN/TC250 “Structural Eurocodes”.

www.nitropdf.comPage 185 of 186

Page 186

z

























































































































doi:10.2788/35386

ISBN 978-92-79-36548-5



As the Commission's in-house science service, the Joint Research Centre's mission is to provide
EU policies with independent, evidence-based scientific and technical support throughout the
whole policy cycle. Working in close cooperation with policy Directorates-General, the JRC
addresses key societal challenges while stimulating innovation through developing new
methods, tools and standards, and sharing its know-how with the Member States, the scientific
community and international partners.


LB-N
A

-26566-EN
-N



www.nitropdf.comPage 186 of 186

Similer Documents