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Minnealioks

A MANUAL

OF

MACHINERY AND MILLWORK.

BY

W. J. MACQUORN RANKINE, C.E., LL.D., F.R.S.,

LATE REGIUS PROFESSOR OF CIVIL ENGINEERING IN
THE UNIVERSITY OF GLASGOW.

In Crown 8vo, Cloth.

I.

A MANUAL OF APPLIED MECHANICS.

IJ.

Tenth Edition. 12s. 6d.

A MANUAL OF CIVIL ENGINEERING, Fourteenth Edition. 16s.

III.

A MANUAL OF MACHINERY AND MILLWORK. Fifth Edition.

128. 6d.

IV.

A MANUAL OF THE STEAM-ENGINE AND OTHER PRIME MOVERS. Tenth Edition. 12s. 6d.

V.

USEFUL RULES AND TABLES

FOR ENGINEERS AND

Others. With Appendix for the use of Electrical Engineers. By PRINCIPAL JAMIESON, C.E., F.R.S.E. Sixth Edition. 10s. 6d.

VI.

A MECHANICAL TEXT-BOOK; or, Introduction to the Study of Mechanics. By Professor RANKINE and E. F. BAMBER, C.E. Second Edition. 9s.

VII.

Royal 8vo, Cloth, Price 31s. 6d.

MISCELLANEOUS SCIENTIFIC PAPERS.

PART I-Papers relating to Temperature, Elasticity, and the Expansion of Vapours, Liquids, and Solids.

PART II-Papers on Energy and its Transformations.

PART III.-Papers on Wave-Forms, Propulsion of Vessels, &c.

With MEMOIR by P. G. TAIT, M.A, Professor of Natural Philosophy in the
University of Edinburgh. Edited by W. J. MILLAR, C.E.
With fine Portrait on Steel, Plates, and Diagrams.

"From the nature of his discoveries and the beauty and completeness of his analysis, this The volume exceeds in collection of Professor Rankine's Fapers is most valuable.

importance any work in the same department published in our time."-Architect.

"To all who concern themselves with the History of the Sciences, this volume will be of great and permanent value so various and so profound are the dissertations here. collected, so many questions, as interesting as they are difficult, do they open up."-Engineer.

LONDON: CHARLES GRIFFIN AND COMPANY.

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OF

MACHINERY AND MILLWORK.

BY

WILLIAM JOHN MACQUORN RANKINE,

CIVIL ENGINEER; LL.D. TRIN. COLL. DUB.; F.R.S.S. LOND. AND EDIN.; F.R.S.S.A.;
LATE REGIUS PROFESSOR OF CIVIL ENGINEERING AND MECHANICS IN THE UNIVERSITY OF GLASGOW.

With numerous Diagrams.

FIFTH EDITION: THOROUGHLY REVISED,

BY

WILLIAM J. MILLAR, C. E.,

SECRETARY, INST. ENGINEERS AND SHIPBUILDERS IN SCOTLAND.

LONDON:

CHARLES GRIFFIN AND COMPANY,

EXETER STREET, STRAND.

1883.

[The Right of Translation Reserved.]

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PREFACE.

THIS book is divided into three parts: the first treats of the Geometry of Machinery; the second of the Dynamics of Machinery; and the third of the Materials, Strength, and Construction of Machinery.

Under the head of the Geometry of Machinery, machines are considered with reference to the comparative motions only of their moving parts; and rules are given for designing and arranging those parts so as to produce any given comparative motion.

Considering that the object of such rules is to adjust the dimensions of the parts of machines by processes of practical geometry, I have thought it advisable to solve every question by drawing, rather than by calculation, except in a few special cases where calculation is indispensable.

Many of the graphic rules thus obtained are made more easy and accurate, and some, indeed, are made possible which were not so before, by the aid of new methods of measuring and laying off the lengths of curved lines.

Two chapters of the first part are devoted to the detailed consideration of the movements of single pieces in machines. The remainder of the part relates to Pure Mechanism, as defined and reduced to a system by Professor WILLIS. The order in which the various combinations in mechanism are treated of is different from that adopted by him; but the principles are the same.

Several problems in mechanism are solved by methods which, so far as I know, have not hitherto been published; and which possess advantages in point of ease or of accuracy. I may specify, in particular, the drawing of rolling curves, and of some kinds of cams; the construction of the figures of teeth of skew-bevel wheels, and of threads of gearing screws, by the help of the normal section; and some improvements in the details of processes for designing intermittent gear, link-motions, and parallel motions.

Under the head of the Dynamics of Machinery are considered

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