Statics by Algebraic and Graphic Methods: Intended Primarily for Students of Engineering and Architecture (Classic Reprint) - Softcover

Inhaltsangabe

Excerpt from Statics by Algebraic and Graphic Methods: Intended Primarily for Students of Engineering and Architecture

Problems involving much finding and summing of products or involving trigonometric or complicated geometric relations are found to be an advantageous field for the use of graphic methods, and in this field, graphic methods assume a place of relative importance.

Problems in equilibrium are of precisely this sort, and graphic methods of dealing with them have been developed very extensively, and even named, as a body, Graphical Statics, in distinction from the body of algebraic methods in statical prob lems - called Analytical or Algebraic Statics. All these terms, as pointed out in the preface, seem objectionable to the writer and will not be used further in this work. The terms algebraic method and graphic method will be used in their stead.

The underlying principles and the procedure in both meth ods are, of course, scientifically correct, but they differ in the degree of precision attainable. The precision of results in algebraic computation depends upon the extent to which deci mals or significant figures are carried out, and in graphical work upon care and skill in draughting. In the former case absolute precision may be approached as closely as the com puter may care to go, but in the latter early bounds are set by the limitations of draughting appliances and human eyesight. Sometimes it is worth while to use a combination of the two by sketching more or less roughly the desired diagrams and calculating trigonometrically instead of scaling the lengths of resulting lines. This of course is the algebraic method itself so far as precision goes.

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