RULES AND TABLES

RELATING TO

MENSURATION, ENGINEERING, STRUCTURES,
AND MACHINES.

BY

WILLIAM JOHN MACQUORN RANKINE,

D飲

CIVIL ENGINEER; LL.D. TRIN. COLL. DUB.; F.R.SS. LOND. AND EDIN.; F.R.S.S.A;
REGIUS PROFESSOR OF CIVIL ENGINEERING AND MECHANICS IN THE UNIVERSITY OF GLASGOW;
ASSOCIATE MEMBER OF COUNCIL OF THE INSTITUTION OF NAVAL ARCHITECTS,

AND OF THE PHILOSOPHIC SOCIETY OF SCOTLAND;

PAST-PRESIDENT OF THE INSTITUTION OF ENGINEERS AND SHIPBUILDERS IN SCOTLAND;
CONSULTING ENGINEER OF THE HIGHLAND AND AGRICULTURAL SOCIETY OF SCOTLAND;
MEMBER OF THE INSTITUTION OF MECHANICAL ENGINEERS;

HONORARY MEMBER OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES.
OF THE ROYAL ACADEMY OF SCIENCES OF SWEDEN,

OF THE LITERARY AND PHILOSOPHICAL SOCIETY OF MANCHESTER,
OF THE ROYAL SOCIETY OF TASMANIA,

RULES AND TABLES

RELATING TO

MENSURATION, ENGINEERING, STRUCTURES,
AND MACHINES.

BY

WILLIAM JOHN MACQUORN RANKINE,

CIVIL ENGINEER; LL.D. TRIN. COLL. DUB.; F.R.SS. LOND. AND EDIN.; F.R.S.S.A REGIUS PROFESSOR OF CIVIL ENGINEERING AND MECHANICS IN THE UNIVERSITY OF GLASGOW; ASSOCIATE MEMBER OF COUNCIL OF THE INSTITUTION OF NAVAL ARCHITECTS,

AND OF THE PHILOSOPHIC SOCIETY OF SCOTLAND;

PAST-PRESIDENT OF THE INSTITUTION OF ENGINEERS AND SHIPBUILDERS IN SCOTLAND;
CONSULTING ENGINEER OF THE HIGHLAND AND AGRICULTURAL SOCIETY OF SCOTLAND;
MEMBER OF THE INSTITUTION OF MECHANICAL ENGINEERS;

HONORARY MEMBER OF THE AMERICAN ACADEMY OF ARTS AND SCIENCES.
OF THE ROYAL ACADEMY OF SCIENCES OF SWEDEN,

OF THE LITERARY AND PHILOSOPHICAL SOCIETY OF MANCHESTER,
OF THE ROYAL SOCIETY OF TASMANIA,

OF THE LITERARY AND PHILOSOPHIC SOCIETY OF LIVERPOOL,
OF THE HISTORIC SOCIETY OF LANCASHIRE AND CHESHIRE,
OF THE SOCIETY OF NATURAL SCIENCES OF CHERBOURG,
ETC. ETC.

FOURTH EDITION,

LONDON:

CHARLES GRIFFIN AND COMPANY,

STATIONERS' HALL COURT.

1873.

[The Author reserves the right of Translation.]