Cold-Formed Steel Design Cold-Formed Steel Design Fifth Edition Wei-Wen Yu Missouri University of Science and Technology Rolla, Missouri Roger A. LaBoube Missouri University of Science and Technology Rolla, Missouri Helen Chen American Iron and Steel Institute Washington, DC This edition first published 2020 ©2020 John Wiley & Sons, Inc. Edition History John Wiley & Sons (2e, 1991), John Wiley & Sons (3e, 2000), John Wiley & Sons (4e, 2010) All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at https:// www.wiley.com/go/permissions. The right of Wei-Wen Yu, Helen Chen, and Roger A. LaBoube to be identified as the authors of this work has been asserted in accordance with law. 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Library of Congress Cataloging-in-Publication Data Names: Yu, Wei-Wen, author. | LaBoube, Roger A., author. | Chen, Helen, author. Title: Cold-formed steel design / Wei-Wen Yu and Roger A. LaBoube, Missour University of Science and Tech; Helen Chen, American Iron and Steel Institute. Description: Fifth edition. | Hoboken : Wiley, 2020. | Includes bibliographical references and index. Identifiers: LCCN 2019023220 (print) | LCCN 2019023221 (ebook) | ISBN 9781119487395 (cloth) | ISBN 9781119487388 (adobe pdf) | ISBN 9781119487418 (epub) Subjects: LCSH: Building, Iron and steel. | Sheet-steel. | Thin-walled structures. | Steel—Cold working. Classification: LCC TA684 .Y787 2020 (print) | LCC TA684 (ebook) | DDC 624.1/821—dc23 LC record available at https://lccn.loc.gov/2019023220 LC ebook record available at https://lccn.loc.gov/2019023221 Cover Design: Wiley Cover Image: Courtesy of Steel Framing Alliance Set in 10/12pt TimesLTStd by SPi Global, Chennai, India 10 9 8 7 6 5 4 3 2 1 CONTENTS CHAPTER 1 Preface ix INTRODUCTION 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 CHAPTER 2 General Remarks Types of Cold-Formed Steel Sections and Their Applications Metal Buildings and Industrialized Housing Methods of Forming Research and Design Specifications General Design Considerations of Cold-Formed Steel Construction Economic Design and Optimum Properties Design Basis Serviceability 1 2 7 13 15 21 26 27 35 MATERIALS USED IN COLD-FORMED STEEL CONSTRUCTION 37 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 2.10 2.11 2.12 37 44 45 45 47 48 48 51 53 54 55 57 General Remarks Yield Stress, Tensile Strength, and Stress–Strain Curve Modulus of Elasticity, Tangent Modulus, and Shear Modulus Ductility Weldability Fatigue Strength and Toughness Influence of Cold Work on Mechanical Properties of Steel Utilization of Cold Work of Forming Effect of Temperature on Mechanical Properties of Steel Testing of Full Sections and Flat Elements Residual Stresses Due to Cold Forming Effect of Strain Rate on Mechanical Properties v vi CONTENTS CHAPTER 3 STRENGTH OF THIN ELEMENTS AND DESIGN CRITERIA 59 3.1 3.2 3.3 59 59 3.4 3.5 3.6 3.7 CHAPTER 4 CHAPTER 5 CHAPTER 6 CHAPTER 7 General Remarks Definitions of Terms Structural Behavior of Compression Elements and Effective Width Design Criteria Perforated Elements and Members Direct Strength Method and Consideration of Local and Distortional Buckling Plate Buckling of Structural Shapes Additional Information 61 97 100 117 117 FLEXURAL MEMBERS 119 4.1 4.2 4.3 4.4 4.5 4.6 119 119 183 209 216 216 General Remarks Bending Strength and Deflection Design of Beam Webs Bracing Requirements of Beams Torsional Analysis of Beams and Combined Bending and Torsional Loading Additional Information on Beams COMPRESSION MEMBERS 217 5.1 5.2 5.3 5.4 5.5 5.6 217 218 226 228 228 General Remarks Column Buckling Local Buckling Interacting with Yielding and Global Buckling Distortional Buckling Strength of Compression Members Effect of Cold Work on Column Buckling North American Design Formulas for Concentrically Loaded Compression Members 5.7 Effective Length Factor K 5.8 Built-Up Compression Members 5.9 Bracing of Axially Loaded Compression Members 5.10 Design Examples 5.11 Compression Members in Metal Roof and Wall Systems 5.12 Additional Information on Compression Members 230 234 236 237 238 247 250 COMBINED AXIAL LOAD AND BENDING 251 6.1 6.2 6.3 6.4 6.5 6.6 6.7 251 251 253 261 265 266 283 General Remarks Combined Tensile Axial Load and Bending Combined Compressive Axial Load and Bending (Beam–Columns) Member Forces Considering Structural Stability North American Design Criteria for Beam–Column Check Design Examples Additional Information on Beam–Columns CLOSED CYLINDRICAL TUBULAR MEMBERS 285 7.1 7.2 7.3 285 285 285 General Remarks Types of Closed Cylindrical Tubes Flexural Column Buckling