Worked Examples

1 EUROCODESS P R E A D S H E E T SS t r u c t u r a l D e s i g nC a r l o S i g m u n dWorked ExamplesI N A C C O R D A N C E W I T HE u r o p e a n S t a n d a r d s C E N / T C 2 5 0S t r u c t u r a l E u r o c o d e s ( E N 1 9 9 0 / E N 1 9 9 1 )EsE b o o kFirst EditionEvaluation CopyCopyright 2014 rights reserved. No part of this work may be reproduced, stored in a retrieval system, or transmitted by any means, electronic,mechanical, photocopying, recording, or otherwise, without prior written permission from the publisher. ---------------------------------------- --------First Edition: April 2014 Author/Publisher: Sigmund, Carlo <1971->ISBN n.

2 : 978-1-291-84215-9ID contenuto: 14612241 Ebook: Worked Examples in accordance with European Standards CEN/TC 250: structural Eurocodes (EN 1990/EN 1991)--------------------------------The sponsoring editor for this document and the production supervisor was Carlo Sigmund. Electronic mail: care has been taken to ensure, to the best of our knowledge, that all data and information contained herein are accurate to the extent that they relate to either matters of fact or accepted practice or matters of opinion at the time of publication, The EUROCODES Spreadsheets structural Design, the author and the reviewers assume no responsibility for any errors in or misinterpretations of such data and/or information or any loss or damage arising from or related to their Art from: image was selected as picture of the day on Wikimedia Commons for 3 August 2013.

3 Date: 13 July 2011 - Author: Peter23 This file is licensed under the Creative Commons Attribution Generic licenseThe reproduction of this artistic, architectural, or applied artwork, is covered under the Copyright Law of the People's Republic of ChinaBeijing national stadium; Architect: Herzog & de Meuron, ArupSport, China Architectural Design & Research Group_____Evaluation CopyContentsEurocode 0 - EN1990 .. Foreword .. National Standards implementing Eurocodes .. National annex for EN 1990 .. Verification References [Section 1].. 32 eurocode 1 - Foreword .. National annex for EN Distinction between Principles and Application Classification of Representation of actions.

4 Rapresentative Ultimate limit Verification References [Section 2].. 44 eurocode 1 EN General .. Terms relating to thermal 45 Evaluation CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked Examples CONTENTS - page structural Fire design procedure .. Design fire scenario, design fire .. Temperature Thermal actions for temperature analysis (Section 3) .. Nominal temperature-time curves .. Verification tests .. References [Section 3] ..58 eurocode 1 EN 1991-1-2 Annex Thermal actions for external members - Simplified calculation method .. Verification tests .. References [Section 4] ..73 eurocode 1 EN 1991-1-2 Annex C, Annex E .. ANNEX C: Localised ANNEX E: fire load densities.

5 Verification tests .. References [Section 5] ..87 eurocode 1 EN 1991-1-2 Annex F, Annex G, Sec. Annex ANNEX F: Equivalent time of fire ANNEX G: configuration factor .. ANNEX B, Section : Overall configuration CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked ExamplesCONTENTS - page Verification tests .. Reference [Section 6] ..100 eurocode 1 EN 1991-1-3 .. General .. Classification of actions .. Design situations .. Characteristic values .. Other representative values .. Treatment of exceptional snow loads on the ground .. Snow load on roofs .. Roof shape coefficients .. Local effects .. Verification tests .. References [Section 7] ..122 eurocode 1 EN 1991-1-3: Annex A, Annex B.

6 Design situations and load arrangements to be used for different locations .. Annex B: Snow load shape coefficients for exceptional snow drifts .. Verification tests .. References [Section 8] ..132 eurocode 1 EN 1991-1-3: Annex C, Annex D .. Annex C: European Ground Snow Load Maps .. Annex D: Adjustment of the ground snow load according to return CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked Examples CONTENTS - page Verification tests .. References [Section 9] ..138 eurocode 1 EN 1991-1-4 [Section 4].. General .. Definitions .. Design situations .. Modelling of wind actions .. Wind velocity and velocity pressure .. Verification tests .. References [Section 10] ..152 eurocode 1 EN 1991-1-4 Section 7 (Page 32 to 37).

7 Pressure and force coefficients - General .. Asymmetric and counteracting pressures and Pressure coefficients for buildings .. Vertical walls of rectangular plan Verification tests .. References [Section 11] ..160 eurocode 1 EN 1991-1-4 Section 7 (Page 37 to 39) .. Pressure and force coefficients - Flat roofs .. Verification tests .. References [Section 12] ..164 Evaluation CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked ExamplesCONTENTS - page viiEurocode 1 EN 1991-1-4 Section 7 (Page 40 to 42) .. Pressure and force coefficients - Monopitch Verification tests .. References [Section 13] ..170 eurocode 1 EN 1991-1-4 Section 7 (Page 43 to 46) .. Duopitch roofs .. Verification tests .. References [Section 14].

8 177 eurocode 1 EN 1991-1-4 Section 7 (Page 47 to 48) .. Hipped roofs .. Verification tests .. References [Section 15] ..186 eurocode 1 EN 1991-1-4 Section 7 (Page 48 to 49) .. Multispan roofs .. Verification tests .. References [Section 16] ..193 Evaluation CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked Examples CONTENTS - page viiiEurocode 1 EN 1991-1-4 Section 7 (Page 50 to 51) .. Vaulted roofs and Verification tests .. References [Section 17] ..198 eurocode 1 EN 1991-1-4 Section 7 (Page 51 to 53) .. Internal Verification tests .. References [Section 18] ..205 eurocode 1 EN 1991-1-4 Section 7 (Page 53 to 60) .. Pressure on walls or roofs with more than one skin .. Canopy roofs .. Verification tests.

9 References [Section 19] ..214 eurocode 1 EN 1991-1-4 Section 7 (Page 61 to 65) .. Free-standing walls, parapets, fences and signboards .. Shelter factors for walls and Signboards .. Friction coefficients ..218 Evaluation CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked ExamplesCONTENTS - page Verification tests .. References [Section 20] ..224 eurocode 1 EN 1991-1-4 Section 7 (Page 65 to 69) .. structural elements with rectangular sections .. structural elements with sharp edged section .. structural elements with regular polygonal section .. Verification tests .. References [Section 21] ..232 eurocode 1 EN 1991-1-4 Section 7 (Page 69 to 73) .. Circular cylinders: external pressure coefficients .. Circular cylinders: force coefficients.

10 Verification tests .. References [Section 22] ..239 eurocode 1 EN 1991-1-4 Section 7 (Page 74 to 75) .. Circular cylinders: force coefficients for vertical cylinders in a row arrangement .. Spheres .. Verification tests .. References [Section 23] ..246 eurocode 1 EN 1991-1-4 Evaluation CopyEN 1990, EN 1991 - Eurocodes 0-1 - Worked Examples CONTENTS - page xSection 7 (Page 76 to 78) .. Lattice structures and scaffoldings .. Verification tests .. References [Section 24] ..254 eurocode 1 EN 1991-1-4 Section 7 (Page 78 to 81) .. Flags .. Effective slenderness and end-effect factor l .. Verification tests .. References [Section 25] ..260 eurocode 1 EN 1991-1-4 Section 8 (Page 82 to 90) .. Wind actions on bridges.