Concrete-Filled Stainless Steel Tubular Columns Concrete-Filled Stainless Steel Tubular Columns Vipulkumar Ishvarbhai Patel Qing Quan Liang Muhammad N. S. Hadi CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2019 by Vipulkumar Ishvarbhai Patel, Qing Quan Liang, and Muhammad N. S. Hadi CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed on acid-free paper International Standard Book Number-13: 978-1-138-54366-9 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all mate- rial reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, repro- duced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www. copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organi- zation that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging‑in‑Publication Data Names: Patel, Vipulkumar, author. | Liang, Qing Quan, 1965- author. | Hadi, Muhammad N. S., author. Title: Concrete-filled stainless steel tubular columns / Vipulkumar Patel, Qing Quan Liang and Muhammad Hadi. Description: Boca Raton: Taylor & Francis, CRC Press, [2019] | Includes bibliographical references and index. | Identifiers: LCCN 2018042188 (print) | LCCN 2018042497 (ebook) | ISBN 9781351005685 (ePub) | ISBN 9781351005692 (Adobe PDF) | ISBN 9781351005678 (Mobipocket) | ISBN 9781138543669 (hardback) | ISBN 9781351005708 (ebook) Subjects: LCSH: Columns, Concrete. | Concrete-filled tubes. | Structural analysis (Engineering) | Tubes, Steel. Classification: LCC TA683.5.C7 (ebook) | LCC TA683.5.C7 P38 2019 (print) | DDC 624.1/7725—dc23 LC record available at https://lccn.loc.gov/2018042188 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface ix Acknowledgments xi Authors xiii 1 Introduction 1 1.1 Background 1 1.2 Stainless steel grades 4 1.2.1 Austenitic stainless steels 4 1.2.2 Ferritic stainless steels 4 1.2.3 Martensitic stainless steels 5 1.2.4 Duplex stainless steels 5 1.2.5 Precipitation hardening stainless steels 6 1.3 Basic stress–strain behavior of stainless steels 6 1.4 Characteristics of CFSST columns 6 1.4.1 Concrete confinement in circular CFSST columns 6 1.4.2 Local buckling of rectangular CFSST columns 9 1.5 Conclusions 10 References 10 2 Nonlinear analysis of CFSST short columns 13 2.1 Introduction 13 2.2 Stress–strain relationships of carbon steels 15 2.3 Stress–strain relationships of stainless steels 16 2.3.1 Two-stage stress–strain model by Rasmussen 16 2.3.2 Two-stage stress–strain model by Gardner and Nethercot 18 v vi Contents 2.3.3 Three-stage stress–strain models by Quach et al. and Abdella et al. 19 2.3.4 Stress–strain model by Tao and Rasmussen 23 2.4 Stress–strain relationships of concrete 24 2.4.1 Compressive concrete in circular CFSST columns 24 2.4.2 Compressive concrete in rectangular CFSST columns 27 2.4.3 Concrete in tension 29 2.5 Fiber element modeling 29 2.5.1 Discretization of cross-sections 29 2.5.2 Fiber strains 29 2.5.3 Axial force and bending moments 31 2.5.4 Initial local buckling of stainless steel tubes 32 2.5.5 Post-local buckling of stainless steel tubes 33 2.5.6 Modeling of progressive post-local buckling 35 2.6 Numerical analysis procedures 36 2.6.1 Axial load–strain analysis 36 2.6.2 Moment–curvature analysis 37 2.6.3 Axial load–moment interaction strength analysis 38 2.6.4 Solution algorithms implementing the secant method 38 2.7 Comparative studies 39 2.7.1 Validation of effective width models 39 2.7.2 Verification of the fiber element model 41 2.7.3 Comparisons of stress–strain models for stainless steel 41 2.7.4 Comparison of CFST and CFSST columns 44 2.8 Behavior of CFSST short columns 45 2.8.1 Influences of depth-to-thickness ratio 45 2.8.2 Influences of concrete strength 47 2.8.3 Influences of stainless steel strength 47 2.8.4 Influences of local buckling 49 2.8.5 Influences of section shapes 50 2.9 Design of CFSST short columns 52 2.9.1 AISC 316-16 52 2.9.2 Eurocode 4 52 2.9.3 Design model by Patel et al. 53 2.10 Conclusions 54 References 56 Contents vii 3 Nonlinear analysis of circular CFSST slender columns 61 3.1 Introduction 61 3.2 Modeling of cross-sections 62 3.3 Modeling of load–deflection responses 63 3.3.1 Mathematical formulation 63 3.3.2 Computational procedure 66 3.4 Generating axial load–moment strength envelopes 67 3.4.1 Mathematical modeling 67 3.4.2 Modeling procedure for strength envelopes 68 3.5 Solution algorithms implementing Müller’s method 69 3.6 Accuracy of mathematical models 71 3.6.1 Concentrically loaded columns 71 3.6.2 Eccentrically loaded columns 72 3.7 Behavior of circular slender CFSST beam-columns 74 3.7.1 Effects of column slenderness ratio 74 3.7.2 Effects of load eccentricity ratio 76 3.7.3 Effects of diameter-to-thickness ratio 78 3.7.4 Effects of stainless steel proof stress 78 3.7.5 Effects of concrete compressive strength 80 3.7.6 Effects of concrete confinement 81 3.7.7 Load distribution in concrete and stainless steel tubes 82 3.8 Design of circular slender CFSST columns 88 3.9 Conclusions 90 References 91 4 Nonlinear analysis of rectangular CFSST slender columns 95 4.1 Introduction 95 4.2 Formulation of cross-sections under biaxial bending 96 4.3 Simulating load–deflection responses for biaxial bending 97 4.3.1 General theory 97 4.3.2 Computer simulation procedure 99 4.4 Modeling strength envelopes for biaxial bending 100 4.4.1 Theoretical formulation 100 4.4.2 Numerical modeling procedure 101 4.5 Solution algorithms for columns under biaxial bending 103 4.6 Verification of theoretical models 103 4.6.1 Columns under axial loading 103 4.6.2 Beam-columns under axial load and biaxial bending 104 viii Contents 4.7 Behavior of rectangular slender CFSST beam-columns 106 4.7.1 Ultimate axial strengths 107 4.7.2 Concrete contribution ratio 108 4.7.3 Pure moment capacities 109 4.7.4 Axial load–deflection responses 111 4.7.5 Local buckling 114 4.7.6 Applied load angles 115 4.7.7 Cross-sectional shapes 116 4.7.8 Column strength curves 118 4.8 Design of rectangular and square CFSST slender columns 119 4.8.1 Ultimate pure moments of square columns 119 4.8.2 Slender columns under axial compression 120 4.9 Conclusions 122 References 123 Notations 125 Index 131 Preface Concrete-filled stainless steel tubular (CFSST) columns are increasingly used in modern composite construction due to their distinguished features, such as high strength, high ductility, aesthetic appearance, high corrosion resistance, high durability, and ease of maintenance. Thin-walled CFSST columns are characterized by the different strain-hardening behaviors of stainless steel in tension and in compression, local buckling of stainless steel tubes, and concrete confinement. The current design codes and existing numerical models that do not account for these characteristics may either overestimate or underestimate the ultimate strengths of CFSST columns. This book is the first monograph on the nonlinear analysis, behavior, and design of CFSST columns. It presents accurate and efficient computa- tional models based on the fiber element method for predicting the behav- ior of circular and rectangular CFSST short and slender columns under axial load and biaxial bending. The effects of different strain-hardening characteristics of stainless steel in tension and in compression, progressive local buckling of rectangular stainless steel tubes, concrete confinement, and geometric and material nonlinearities are taken into consideration in the computational models. The mathematical models accurately simulate the axial load–strain behavior, moment–curvature curves, axial load– deflection responses, and axial load–moment strength interaction diagrams of CFSST columns. This book describes the formulations of mathemati- cal models, computational procedures, model verifications, behavior, and design of circular and rectangular CFSST short and slender columns. This book is written for practicing structural and civil engineers, aca- demic researchers, and undergraduate and postgraduate students in civil engineering who are interested in the latest computational technologies and design methods for CFSST columns. Chapter 1 introduces the composite construction of stainless steel and concrete and the material properties of stainless steel grades. The nonlin- ear analysis, behavior, and design of circular and rectangular CFSST short columns under axial compression, combined axial load and bending. or biaxial loads are presented in Chapter 2. Chapter 3 describes mathematical models and modeling procedures for predicting the axial load–deflection ix