Solving Problems of Simple Structural Mechanics

Mapping Intimacies ◽

10.1017/9781108920131 ◽

2022 ◽

Author(s):

Keith Alexander Seffen

Keyword(s):

Analytical Methods ◽

Structural Mechanics ◽

Efficient Solutions ◽

Indeterminate Structures ◽

Working Out

Solve problems in elementary structural mechanics thoughtfully and efficiently with this self-contained volume. Covers the basics of structural mechanics and focuses on simple structures, truss frameworks, beams and frames, design choices, and deformity. Carefully interrogates underlying assumptions for efficiencies in working out whilst expounding fundamental principles for a consistent understanding. Heavily connects the practical world of indeterminate structures to their analysis, to underline benefits they impart to the latter: that certain analytical methods provide a wealth of efficient solutions for problems of indeterminate structures compared to determinate ones. Celebrates the beauty of analytical indeterminacy and its relationship to practical structures. Perfect for students invested in structural mechanics, and aims to complement their learning and understanding.

Download Full-text

The Graphic method of constructing a Life Table illustrated by the Brighton Life Table, 1891—1900

Journal of Hygiene ◽

10.1017/s002217240003285x ◽

1903 ◽

Vol 3 (3) ◽

pp. 297-324 ◽

Cited By ~ 1

Author(s):

Arthur Newsholme ◽

T. H. C. Stevenson

Keyword(s):

Life Table ◽

Analytical Method ◽

Analytical Methods ◽

Mathematical Knowledge ◽

Graphic Method ◽

Smooth Curves ◽

Analytical Process ◽

Spare Time ◽

Working Out ◽

Selection Of

(1) The graphic method is more easy of application and requires less mathematical knowledge than the extended analytical method.(2) In our experience it produces smooth curves of px and Ex.(3) The analytical in the selection of the best process of interpolation appeals to the graphic method.(4) While either the analytical or graphic process may in unskilful or careless hands give erroneous results, owing to errors in working out, the analytical process, unlike the graphic, presents a wide choice of methods, which although accurately worked out, give incomparable results.(5) The facts given in the table on page 321 and in Fig. 1 A and B and table on page 317 show that almost identical results are obtained by the graphic method and by the improved extended analytical method. We regard this as important testimony to the accuracy of each of these methods, and at the same time as indicating the inaccuracy of the analytical methods giving different results.(6) As the results obtained by the modified short analytical method and by the combined analytical and graphic method approximate so closely to those obtained by the detailed graphic method, either of them may safely be adopted by those who cannot spare time for working out a detailed Life Table by the graphic method.(7) Every published Life Table should give exact details of the method of its construction, in order that the comparability of data and results may be tested. Much confusion has arisen, and important errors in comparison between different Life Tables have been produced, by the use of different methods of construction and the non-publication of details of methods.

Download Full-text

Stereo modeling of HVEM specimens by serial tilting and computer graphics

Proceedings, annual meeting, Electron Microscopy Society of America ◽

10.1017/s0424820100141913 ◽

1986 ◽

Vol 44 ◽

pp. 34-35

Author(s):

J.R. McIntosh ◽

D.L. Stemple ◽

William Bishop ◽

G.W. Hannaway

Keyword(s):

Computer Graphics ◽

Analytical Methods ◽

Photographic Film ◽

Complex Structures ◽

Multiple Objects ◽

Multiple Images ◽

3 Dimensional

EM specimens often contain 3-dimensional information that is lost during micrography on a single photographic film. Two images of one specimen at appropriate orientations give a stereo view, but complex structures composed of multiple objects of graded density that superimpose in each projection are often difficult to decipher in stereo. Several analytical methods for 3-D reconstruction from multiple images of a serially tilted specimen are available, but they are all time-consuming and computationally intense.

Download Full-text