5 6 4 2 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D Purchased from American Institute of Aeronautics and Astronautics Structural Loads Analysis for Commercial Transport 5 Aircraft: Theory and Practice 6 4 2 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D Purchased from American Institute of Aeronautics and Astronautics TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk 5 6 4 2 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D Purchased from American Institute of Aeronautics and Astronautics Structural Loads Analysis for Commercial Transport Aircraft: Theory and Practice 5 6 4 2 6 8 4. 4/ 1 5 2 10. Ted L. Lomax OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl &AIAA w o D EDUCATION SERIES J. S. Przemieniecki Series Editor-in-Chief Air Force Institute of Technology Wright-Patterson Air Force Base, Ohio Published by American Institute of Aeronautics and Astronautics, Inc. 1801 Alexander Bell Drive, Reston, VA 22091 Purchased from American Institute of Aeronautics and Astronautics 5 6 4 2 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V American Institute of Aeronautics and Astronautics, Inc., Reston, Virginia NI U T Library of Congress Cataloging-in-Publication Data MI R y Lomax, Ted L. d b Structural loads analysis for commercial transport aircraft: e d theory and practice / Ted L. Lomax. a nlo p. cm. — (AIAA education series) ow Includes bibliographical references and index. D 1. Airframes—Design and construction. 2. Structural dynamics. 3. Transport planes—Design and construction. I. Title. II. Series. TL671.6.L597 1995 629.134/31—dc20 95-22159 ISBN 1-56347-114-0 Second Printing Copyright © 1996 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. Printed in the United States. No part of this publication may be reproduced, distributed, or transmitted, in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. Data and information appearing in this book are for informational purposes only. AIAA is not responsible for any injury or damage resulting from use or reliance, nor does AIAA warrant that use or reliance will be free from privately owned rights. Purchased from American Institute of Aeronautics and Astronautics Texts Published in the AIAA Education Series Structural Loads Analysis for Commercial Transport Aircraft: Theory and Practice TedL. Lomax, 1996 Spacecraft Propulsion Charles D. Brown, 1996 Helicopter Flight Dynamics: The Theory and Application of Rying Qualities and Simulation Modeling Gareth Padfield, 1996 Flying Qualities and Right Testing of the Airplane Darrol Stinton, 1996 5 Flight Performance of Aircraft 6 4 S. K. Ojha, 1995 2 86 Operations Research Analysis in Test and Evaluation 4. 4/ Donald L. Giadrosich, 1995 1 25 Radar and Laser Cross Section Engineering 0. 1 David C.Jenn, 1995 OI: Introduction to the Control of Dynamic Systems D g | Frederick O. Smetana, 1994 or Tailless Aircraft in Theory and Practice a. aia Karl Nickel and Michael Wohlfahrt, 1994 arc. Mathematical Methods in Defense Analyses p:// Second Edition htt J. S. Przemieniecki, 1994 13 | Hypersonic Aerothermodynamics 0 2 John J. Bertin, 1994 4, e Hypersonic Airbreathing Propulsion n n Ju William H. Heiser and David T. Pratt, 1994 o Practical Intake Aerodynamic Design A R E. L. Goldsmith and J. Seddon, Editors, 1993 O O Acquisition of Defense Systems D N J. S. Przemieniecki, Editor, 1993 U B Dynamics of Atmospheric Re-Entry NIV Frank J. Regan and Satya M. Anandakrishnan, 1993 U Introduction to Dynamics and Control of Flexible Structures T MI John L. Junkins and Youdan Kirn, 1993 R Spacecraft Mission Design y d b Charles D. Brown, 1992 de Rotary Wing Structural Dynamics and Aeroelasticity a nlo Richard L. Bielawa, 1992 w o Aircraft Design: A Conceptual Approach D Second Edition Daniel P. Raymer, 1992 Optimization of Observation and Control Processes Veniamin V. Malyshev, Mihkail N. Krasilshikov, and Valeri I. Karlov, 1992 Nonlinear Analysis of Shell Structures Anthony N. Palazotto and Scott T Dennis, 1992 Orbital Mechanics Vladimir A. Chobotov, 1991 Critical Technologies for National Defense Air Force Institute of Technology, 1991 Defense Analyses Software J. S. Przemieniecki, 1991 Inlets for Supersonic Missiles John J. Mahoney, 1991 Purchased from American Institute of Aeronautics and Astronautics Texts Published in the AIAA Education Series (continued) Space Vehicle Design Michael D. Griffin and James R. French, 1991 Introduction to Mathematical Methods in Defense Analyses J. S. Przemieniecki, 1990 Basic Helicopter Aerodynamics J. Seddon, 1990 Aircraft Propulsion Systems Technology and Design Gordon C. Gates, Editor, 1989 Boundary Layers 5 A. D. Young, 1989 6 24 Aircraft Design: A Conceptual Approach 6 4.8 Daniel P. Raymer, 1989 4/ Gust Loads on Aircraft: Concepts and Applications 1 5 2 Frederic M. Hoblit, 1988 0. OI: 1 AircNraofrtm Laann Sdi. nCgu Grreeayr, D19e8s8ign: Principles and Practices D g | Mechanical Reliability: Theory, Models and Applications a.or B. S. Dhillon, 1988 aia Re-Entry Aerodynamics arc. WilburL. Hankey, 1988 p:// Aerothermodynamics of Gas Turbine and Rocket Propulsion, 13 | htt GReovrdisoend Can. dG Eatnelsa,r g1e9d88 0 4, 2 Advanced Classical Thermodynamics e George Emanuel, 1988 n u n J Radar Electronic Warfare A o August Golden Jr., 1988 R An Introduction to the Mathematics and Methods of Astrodynamics O O Richard H. Battin, 1987 D N Aircraft Engine Design U B Jack D. Mattingly, William H. Reiser, and Daniel H. Daley, 1987 V NI Gasdynamics: Theory and Applications T U George Emanuel, 1986 MI Composite Materials for Aircraft Structures y R Brian C. Hoskins and Alan A. Baker, Editors, 1986 d b Intake Aerodynamics e ad J. Seddon and E. L. Goldsmith, 1985 o nl Fundamentals of Aircraft Combat Survivability Analysis and Design w Do Robert E. Ball, 1985 Aerothermodynamics of Aircraft Engine Components Gordon C. Gates, Editor, 1985 Aerothermodynamics of Gas Turbine and Rocket Propulsion Gordon C. Gates, 1984 Re-Entry Vehicle Dynamics Frank J. Regan, 1984 Published by American Institute of Aeronautics and Astronautics, Inc., Reston, Virginia Purchased from American Institute of Aeronautics and Astronautics Foreword As one of its major objectives, the AIAA Education Series is creating a compre- hensive library of the established practices in aerospace design. Structural Loads 5 6 Analysis for Commercial Transport Aircraft: Theory and Practice, by Ted L. 4 2 86 Lomax, provides an authoritative exposition of load analysis theories and practice 4. 4/ as applied to structural design and certification. In writing this text, the author has 1 25 captured years of experience in the field as a structural loads engineer and manager 0. DOI: 1 at thTeh eB o1e6i ncgh aCpotemrsp ainn yt hoins tseexvte raarle dairfrfaenregnetd t yinpteos toofp cicosm dmeaelricnigal wtriathn smpoarnte auivrcerraifntg. g | and steady flight loads (symmetrical flight, rolling, yawing, turbulence), landing or a. and gust loads, aircraft component loads (horizontal and vertical tail, wing, body, a c.ai control surfaces, and high-lift devices), aeroelastic considerations (flutter, diver- p://ar gence, and control reversal), structural design considerations, and design airspeeds. htt Each chapter provides some simplified approaches to verify computer-generated 3 | analyses, thereby providing additional confidence that the work is correct. These 1 20 approaches also add to a better understanding of the various parameters influencing 4, e modern designs. n n Ju The AIAA Education Series embraces a broad spectrum of theory and appli- A o cation of different disciplines in aeronautics and astronautics, including aerospace OR design practice. The series also includes texts on defense science, engineering, and O D technology. It provides both teaching texts for students and reference materials for N U practicing engineers and scientists. Structural Loads Analysis for Commercial B V Transport Aircraft: Theory and Practice will be a valuable resource for aircraft UNI design teams. It complements several other texts on aircraft design previously MIT published in the series. R y J. S. Przemieniecki b d e Editor-in-Chief d a nlo AIAA Education Series w o D Purchased from American Institute of Aeronautics and Astronautics TThhiiss ppaaggee iinntteennttiioonnaallllyy lleefftt bbllaannkk 5 6 4 2 6 8 4. 4/ 1 5 2 0. 1 OI: D g | or a. a ai c. ar p:// htt 3 | 1 0 2 4, e n u n J o A R O O D N U B V NI U T MI R y b d e d a o nl w o D Purchased from American Institute of Aeronautics and Astronautics Table of Contents 5 46 Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. xiii 2 6 8 4. 14/ Nomenclature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. xv 5 2 0. 1 OI: Chapter 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 D g | 1.1 Applicability of the Analysis . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 a.or 1.2 Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 a ai 1.3 Methodogy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 1 c. p://ar 1.4 Static Aeroelastic Phenomena . . . . . . . . . . . . . . . . . . . . . . . . .. 2 htt 1.5 Sign Convention . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 2 3 | 1 0 4, 2 Chapter 2. Symmetrical Maneuvering Flight.................... 5 ne 2.1 Symmetrical Maneuvering Flight Definition . . . . . . . . . . . . . . . .. 5 u n J 2.2 Symmetrical Maneuver Load Factors . . . . . . . . . . . . . . . . . . . .. 5 o A 2.3 Steady-State Symmetrical Maneuvers . . . . . . . . . . . . . . . . . . . .. 7 R O O 2.4 Abrupt Pitching Maneuvers . . . . . . . . . . . . . . . . . . . . . . . . . .. 14 D N 2.5 Abrupt Unchecked Pitch Maneuvers . . . . . . . . . . . . . . . . . . . .. 16 U V B 2.6 Abrupt Checked Maneuvers (Commercial Requirements) . . . . . .. 20 NI 2.7 Abrupt Checked Maneuvers (Military Requirements).......... 22 U T 2.8 Minimum Pitch Acceleration Requirements . . . . . . . . . . . . . . .. 24 MI R y d b Chapter 3. Rolling Maneuvers . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 27 e ad 3.1 Parameters Required for Structural Load Analyses . . . . . . . . . .. 27 o wnl 3.2 Symmetrical Load Factors for Rolling Maneuvers . . . . . . . . . . .. 27 o D 3.3 Control Surface Deflections for Rolling Maneuvers . . . . . . . . . .. 29 3.4 Equations of Motion for Rolling Maneuvers . . . . . . . . . . . . . . .. 29 3.5 Maximum Rolling Acceleration and Velocity Criteria ......... 30 3.6 Roll Termination Condition . . . . . . . . . . . . . . . . . . . . . . . . . .. 33 3.7 Nonlinear Lateral Control Inputs . . . . . . . . . . . . . . . . . . . . . .. 33 3.8 Aeroelastic Effects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 35 Chapter 4. Yawing Maneuvers . . . . . . . . . . . . . . . . . . . . . . . . . . . .. 37 4.1 Parameters Required for Structural Load Analyses . . . . . . . . . .. 37 4.2 Rudder Maneuver Requirements—FAR 25 Criteria . . . . . . . . . .. 37 IX
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