Graphical Techniques for Engineering Computations

CONTENTS -

1. SCALES -

Nature and Properties of Scales -

Methods for Constructing Scales -

Altering Moduli of Scales -

Standard Scales -

Mechanical Aspects of Scale Construction -

Exercises -

2. CALCULATING WITH SCALES -

Adjacent Scales -

Parallel Scales With Index Line -

Standard Slide Rules -

Slide Rule Routines -

Special Slide Rules -

Methods of Reproduction -

Other Forms of Special Slide Rules -

Differential Gear Rules -

Exercises -

3. GRAPH PAPERS -

Common Types of Graph Papers -

Construction of Graph Papers -

Exercises -

4. CALCULATING WITH GRAPH PAPERS -

Hyperbolic Paper -

Linear Paper -

Semilogarithmic Paper -

Logarithmic Paper -

Exercises -

5. GRAPHS -

Relationship of Graph to Table and Function -

Graphs of Regular Functions -

Interpolation and Extrapolation -

Graphs of Empirical Data -

Complex Graphs -

Condensed Graphs -

Exercises -

6. CALCULATING WITH GRAPHS -

Position Relationships -

Vertical and Horizontal Displacements -

General Distance Relationships -

Isometric Translation -

Slopes; Graphical Differentiation -

Areas; Graphical Integration -

Exercises -

7. NOMOGRAPHY -

Nomographic Methods -

Some Characteristics of Nomographs -

8. NOMOGRAPHS BY SYNTHETIC METHODS -

Synthetic Methods -

Figures With One Straight Index Line -

Figures With Two Parallel Index Lines -

Figures With Perpendicular Index Lines -

Review of Synthetic Methods -

Exercises -

9. NOMOGRAPHS WITH CARTESIAN

COORDINATES, -

Relationship of Defining Equation to Type -

Matrix Transformations -

Exercises -

10. NOMOGRAPHS WITH HYPERBOLIC

COORDINATES -

The Semihyperbolic Coordinate System -

Application to Construction of Nomographs -

11. PRACTICAL ASPECTS OF CONSTRUCTING

NOMOGRAPHS -

Nomographs With Parallel Scales -

Nomographs With Oblique Scales -

Nomographs With Curved Scales -

Exercises -

12. USE OF GENERAL HYPERBOLIC

COORDINATES -

Hyperbolic Plane Coordinates -

The V-Type Nomograph -

Fitting Nomograph to a Rectangle -

13. THREE-DIMENSIONED NOMOGRAPHS -

Three-Dimensional Hyperbolic Coordinates -

Defining Equation for Nomographs -

Applications -

14. PROPERTIES OF HYPERBOLIC

COORDINATE SYSTEMS -

Hyperbolic Plane Coordinates -

Semihyperbolic Coordinates -

Hyperbolic Solid Coordinates -

Semihyperbolic Solid Coordinates -

15. NOMOGRAPHS FROM GRAPHS AND TABLES -

Relationship of Graph to Nomograph -

Constructing Nomographs From Tables:

Symmetrical -

Constructing Nomographs From Tables:

General -

APPENDIX -

Values of x = -p/p-r- and 1 - x

INDEX -