Galambos - Structural members and frames

Copyright

Copyright 1968, 1996 by Theodore V. Galambos

All rights reserved.

Bibliographical Note

This Dover edition, first published in 2016, is a corrected, unabridged republication of the work originally published in 1968 by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, as part of the Prentice-Hall International Series in Theoretical and Applied Mechanics.

Library of Congress Cataloging-in-Publication Data

Names: Galambos, T. V. (Theodore V.), author.

Title: Structural members and frames / Theodore V. Galambos.

Description: Mineola, New York : Dover Publications, 2016. | Series: Dover books on engineering | This Dover edition, first published in 2016, is a corrected, unabridged republication of the work originally published in 1968 by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, as part of the PrenticeHall International Series in Theoretical and Applied Mechanics. | Includes bibliographical references and index.

Identifiers: LCCN 2015042265| eISBN 13: 9780486811840

Subjects: LCSH: Structural analysis (Engineering) | BISAC: TECHNOLOGY & ENGINEERING / Civil / General. | TECHNOLOGY & ENGINEERING/ Mechanical.

Classification: LCC TA646 .G3 2016 | DDC 624/.177dc23 LC record available at http://lccn.loc.gov/2015042265

Manufactured in the United States by RR Donnelley
80209401 2016

www.doverpublications.com

T O
M Y S TUDENTS AND
T EACHERS

This is a book on the behavior of metal structural members and frames. The study of such behavior involves the analysis of the limits of structural usefulness which, in turn, govern structural design procedures. The particular limits of usefulness covered in this book pertain to various forms of elastic buckling and inelastic instability.

This book provides a detailed treatment of the elastic and inelastic behavior of metal beams, columns, beam-columns, and rigid frames. Each of these four topics is covered in a separate chapter, and each chapter is organized in the same manner. The discussion of specific structural tests provides the background through which the general behavior of the particular structural element is examined. Following this general discussion the theoretical elastic behavior and the termination of usefulness by elastic buckling are treated. Next, the behavior in the inelastic region is discussed, from both the standpoint of deformation in the plane of the loads and the inception of failure by local, lateral-torsional, and overall instability. Various conceptual models used to predict inelastic instability are presented, discussed, and compared with experimental data. In the final section of each of these four chapters design procedures and structural specifications are examined and interpreted in the light of the previously discussed behavioral phenomena.

Two additional chapters precede the four chapters described above: an introductory chapter and a chapter in which the differential equations governing the elastic deformations of prismatic thin-walled open members are derived. The latter also treats the non-uniform torsion of such members.

This book is an expansion and a continuation of topics covered in texts on the design of steel structures. It is therefore directed toward use by graduate students in structural engineering and by practicing structural engineers. The discussion on behavior is supplemented throughout by reference to experiments, by discussion of the literature, by numerous examples illustrating the applications of the theory, and by a discussion of the similarities and differences of the provisions dealing with instability problems in the major American and European structural specifications. A comprehensive list of references is appended to each chapter. Examples for exercise and corresponding answers are also provided.

The basis for this book is a set of lecture notes used in a graduate course with the same title. I have taught this course every year since 1960, when I inherited the privilege of teaching it from my own professor, Dr. Bruno Thrlimann. Originally a course on structural members and frames was developed at Lehigh University in the early 1940s by Dr. Bruce G. Johnston and has been taught there ever since. It has spread from Lehigh to other universities through the graduates of Lehighs Fritz Engineering Laboratory, and its original content has been greatly modified by the research performed by students of the original teachers.

I would like to express my appreciation and gratitude to Dr. Bruno Thrlimann of the Swiss Federal Institute of Technology and to Dr. Robert L. Ketter of the State University of New York at Buffalo for introducing me to the mysteries of inelastic and unstable behavior and for inspiring me to do the research that has enabled me to write this book. I further acknowledge Dr. Thrlimanns course notes, which have served as the embryo for this book.

Acknowledgment is also due my former colleagues at Lehigh University who encouraged me to write this book. I would like to mention especially Dr. Alexis Ostapenko and Dr. Lynn S. Beedle. I am indebted to Dr. Maxwell G. Lay of Melbourne, Australia, who reviewed an early manuscript of this book, giving me invaluable help. I wish to thank all my students who, over the years, checked out the examples and assignment problems. These students, as research assistants, also provided the basic working force in much of the research discussed in this book.

The manuscript was typed by Miss Grace Mann and by Mrs. Ray Tide, and Mrs. Alice Bletch and Mrs. Lois Simons assisted with a variety of clerical tasks during the preparation of this book. Their help is appreciated. To my family for their patience I owe my gratitude.

T HEODORE V. G ALAMBOS

St. Louis

A	Area of cross section
Numerical coefficient
A0	Area enclosed by a sector
AE	Effective area
AF	Area of one flange of a wide-flange shape
AW	Area of web of a wide-flange shape
a	Distance between a point on a cross section and the shear center
Plate dimension
ai, an	Coefficients in a series
B	Numerical coefficient
Bx	Bending stiffness about x axis
By	Bending stiffness about y axis
b	Flange width of a wide-flange shape
Plate dimension
Width of rectangular cross section
C	Centroid of a cross section
Stability function defined by
CLB	Center of rotation
Cm	Equivalent moment ratio defined by
	Approximate equivalent moment ratio defined by either
CT	St. Venant torsional stiffness
CW	Warping stiffness
C1, C2,...	Constants of integration
C 1	Nondimensional coefficient defined by
c	Stability function defined by
DT	Nondimensional coefficient defined by
d	Depth of a wide-flange section
Depth of a rectangular section
E	Modulus of elasticity