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 -