By B. M. Fraeijs de Veubeke (auth.)
This publication relies on lecture notes of the overdue Professor de Veubeke. the topic is gifted at a degree compatible for graduate scholars in engineering, physics, or arithmetic. a few publicity to linear algebra, advanced research, variational calculus, or easy continuum mechanics will be worthy. the 1st 3rd of the booklet comprises the basics of the idea of elasticity. Kinematics of constant media, the notions of pressure and equilibrium, conservation of power, 'and the elastic constitutive legislations are every one handled first in a nonlinear context, then really expert to the linear case. the rest of the publication is given to 3 vintage functions of the speculation, each one supplemented via unique re sults in line with using advanced variables. every one of the 3 themes - Saint-Venant's thought of prismatic beams, aircraft deformations, and the bending of plates - is first pre sented and analyzed quite often, then rounded out with various particular and infrequently novel examples. the subsequent notational conventions are typically in strength, other than the place famous on the contrary: reduce case boldface letters denote vectors or triples of Cartesian co ordinates, top case boldface letters denote three x three matrices, repeated reduce case Latin subscripts are summed over (1,2,3), and non-repeated reduce case Latin subscripts are assumed to diversity over (1,2,3).
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Extra resources for A Course in Elasticity
Washington, Baltimore and Annapolis Railway is a new electric line extending from the suburbs of Washington to Baltimore, a distance of about 31 miles, with a branch from Annapolis Junction to Annapolis, a distance of about 15 The overhead trolley will be used, and schedule speeds miles. of over 40 miles per hour are to be attained. This road is to be the scene of the first commercial operation of an entirely new THE high-speed system of electric traction. The special feature of this system is the use of single-phase alterin generators, transmission lines, trolley car equipnating current ment and motors It constitutes a wide departure from present types of railway apparatus.
The polyphase control system is even more complicated than the D. c as there must be a rheostat for each motor, and two or three circuits in each rheostat It is thus apparent that use the of single-phase alternating current with an A. c by motor having the characteristics of the D c. series motor, the best features of the D c. system can* be obtained, and at the same time many of its disadvantages can be avoided. , This portion of the problem therefore resolves itself into the construction of a single-phase motor having the characteristics of the D c.
One type is similar in general construction to a D. c. motor, but with its magnetic circuit laminated throughout, and with such proportions that it can successfully commutate alternating current Such a motor is a plain series motor, and can be operated on either alternating or direct current and will have the same torque characteristics in either case. Another type of motor is similar in general construction to the above, but the circuits are ar- ranged in a different manner. The field is connected directly across the supply circuit, with proper control appliances in series with it.