XVi Introduction Gratitude is expressed to the following examination boards,universities and colleges who have kindly given permission for questions to be reproduced: City University C.U East Midland Educational Union E.M.E.U. Engineering Institutions Examination E.I.E.and C.E.I. Institution of Mechanical Engineers I.Mech.E. Institution of Structural Engineers I.Struct.E. Union of Educational Institutions U.E.I. Union of Lancashire and Cheshire Institues U.L.C.I. University of Birmingham U.Birm. University of London U.L. Both volumes of the text together contain 150 worked examples and more than 500 problems for solution,and whilst it is hoped that no errors are present it is perhaps inevitable that some errors will be detected.In this event any comment,criticism or correction will be gratefully acknowledged. The symbols and abbreviations throughout the text are in accordance with the latest recommendations of BS 1991 and PD 5686t. As mentioned above,graphical methods of solution have been introduced where appro- priate since it is the author's experience that these are more readily accepted and understood by students than some of the more involved analytical procedures;substantial time saving can also result.Extensive use has also been made of diagrams throughout the text since in the words of the old adage"a single diagram is worth 1000 words". Finally,the author is indebted to all those who have assisted in the production of this volume;to Professor H.G.Hopkins,Mr R.Brettell,Mr R.J.Phelps for their work asso- ciated with the first edition and to Dr A.S.Tooth',Dr N.Walker,Mr R.Winters2 for their contributions to the second edition and to Dr M.Daniels for the extended treatment of the Finite Element Method which is the major change in this third edition.Thanks also go to the publishers for their advice and assistance,especially in the preparation of the diagrams and editing,to Dr.C.C.Perry (USA)for his most valuable critique of the first edition,and to Mrs J.Beard and Miss S.Benzing for typing the manuscript. E.J.HEARN Relevant Standards for use in Great Britain:BS 1991;PD 5686:Other useful SI Guides:The Infernational System of Units,N.P.L.Ministry of Technology,H.M.S.O.(Britain).Mechty,The International System of Units (Physical Constants and Conversion Factors),NASA,No SP-7012,3rd edn.1973 (U.S.A.)Metric Practice Guide,A.S.T.M.Standard E380-72 (U.S.A.). 1.§23.27. Dr.A.S.Tooth,University of Strathclyde,Glasgow. 2.s26. D.N.Walker and Mr.R.Winters,City of Birmingham Polytechnic. 3.524.4 Dr M.M.Daniels,University of Central England.xvi Introduction Gratitude is expressed to the following examination boards, universities and colleges who have kindly given permission for questions to be reproduced: City University East Midland Educational Union Engineering Institutions Examination Institution of Mechanical Engineers Institution of Structural Engineers Union of Educational Institutions Union of Lancashire and Cheshire Institues University of Birmingham University of London C.U. E.M.E.U. E.I.E. and C.E.I. 1.Mech.E. 1.Struct.E. U.E.I. U.L.C.I. U.Birm. U.L. Both volumes of the text together contain 150 worked examples and more than 500 problems for solution, and whilst it is hoped that no errors are present it is perhaps inevitable that some errors will be detected. In this event any comment, criticism or correction will be gratefully acknowledged. The symbols and abbreviations throughout the text are in accordance with the latest recommendations of BS 1991 and PD 5686t. As mentioned above, graphical methods of solution have been introduced where appro￾priate since it is the author’s experience that these are more readily accepted and understood by students than some of the more involved analytical procedures; substantial time saving can also result. Extensive use has also been made of diagrams throughout the text since in the words of the old adage “a single diagram is worth 1000 words”. Finally, the author is indebted to all those who have assisted in the production of this volume; to Professor H. G. Hopkins, Mr R. Brettell, Mr R. J. Phelps for their work asso￾ciated with the first edition and to Dr A. S. Tooth’, Dr N. Walke?, Mr R. Winters2 for their contributions to the second edition and to Dr M. Daniels for the extended treatment of the Finite Element Method which is the major change in this third edition. Thanks also go to the publishers for their advice and assistance, especially in the preparation of the diagrams and editing, to Dr. C. C. Perry (USA) for his most valuable critique of the first edition, and to Mrs J. Beard and Miss S. Benzing for typing the manuscript. E. J. HEARN t Relevant Standards for use in Great Britain: BS 1991; PD 5686 Other useful SI Guides: The Infernational System of Units, N.P.L. Ministry of Technology, H.M.S.O. (Britain). Mechty, The International System of Units (Physical Constants and Conversion Factors), NASA, No SP-7012, 3rd edn. 1973 (U.S.A.) Metric Practice Guide, A.S.T.M. Standard E380-72 (U.S.A.). 1. $23.27. 2. $26. 3. $24.4 Dr. A. S. Tooth, University of Strathclyde, Glasgow. D. N. Walker and Mr. R. Winters, City of Birmingham Polytechnic. Dr M. M. Daniels, University of Central England