Author: Folke SandfordPublisher:
ISBN:
Category :
Languages : en
Pages : 28
Book Description
The object and scope of the investigation reported in this paper are accounted for in the Synopsis. The results obtained for infinite plate strips can be used also as particular integrals in the complete solution for a finite rectangular plate. In Chapter 1, a class of real functions here called S-functions, is defined by infinite series of functions of two real variables. Properties of the S-functions that are of interest in the plate analysis are studied. Further functions called U- and V-functions are introduced. They consist of algebraic sums of S-functions. The S-functions are tabulated in Chapter 14. The classical Levy solution is in Chapter 2 applied to a simply supported infinite plate strip subjected to a transverse line load, a moment line load, a transverse strip load, and a moment strip load. The solutions obtained contain the Fourier sine series coefficients of the load intensity as free parameters. In Chapters 3 to 11, Levy solutions are given for the eight types of loads (upon the simply supported infinite plate strip) shown in Fig.2.7 on p.39. The produced deflection w, the slopes w'x, w'y, and the section moments Mx, My, Mxy, at points(x,y) =(xia,eta a) are written as finite linear combinations of U-,: and V-functions. Parameters are the span width alpha, the plate stiffness D, Poisson's ratio v, the load centre coordinates (lambda alpha, mu alpha). and the load extensions 2delta alpha and 2epsilon alpha. The advantage of using S-functions in the plate analysis is elucidated in a discussion at the end of Chapter 3, see p. 46. Chapter 12 is concerned with practical calculations by use of the tables of S-functions. A computer program is described, and the manual calculations of a numerical application are presented in detail. An approximate solution is given in Chapter 13 for loaded infinite plate strips whose edges are either rigidly built in or elastically built in. Levy-s solution for the simply supported strip serve as a starting point. Two numerical examples are included.
Author: Claës I. Helgesson
Author: Building Research Station (Great Britain)
Author: 
Author: 
Author: Chalmers tekniska högskola
Author: 
Author: 
Author: 
Author: