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### Industrial Technical Math Practically Applied

Engineering and Manufacturing Mathematics

**Manufacturing Technology and Resources**

Industrial Technical Math Practically Applied

Stephen P. Radzevich

304 Pages

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Industrial Technical Math Practically Applied

Introduction

This book is the result of 12 years experience as supervisor of apprentices, designing, shop foreman and instructor in evening classes in technical schools.

The author has made every effort to simplify and analyze, step by step, the various phases of industrial mathematics. The problems, examples and illustrations have been carefully selected and chosen to make them as practical and interesting as possible so that they will stimulate and encourage the student to think clearly, reason and analyze for himself.

The first few pages are intended to be used for review or reference work at the discretion of the student, or for those who have only an elementary knowledge of mathematics.

Standard formulas and data, such as are usually found in mechanics' hand books, trade journals and technical literature, are frequently used and sufficient material in the way of explanations, illustrations and examples are given along with each subject so that the student will become familiar with them. It is hoped that such information will make this book of permanent value for reference and as a hand book.

Paul V. Faknsworth.

Detroit, Mich.

TOC

Part I

Page

Signs, symbols, abbreviations, etc I

Notation and numeration 2

Addition, subtraction, multiplication and division 4

Cancellation and least common multiples 9

Common fractions 10

Addition, subtraction, multiplication and division of

fractions ' 11

Decimal fractions 15

Addition, subtraction, multiplication and division of

decimals 16

Percentage 19

Weights and measures 20

Ratio and proportion 24

Taper calculation 26

Interest 28

Pulley and gear diameters 30

Square root, involution and evolution 34

Cube root 37

The circle ; 39

Mensuration and geometry 43

Review exercises 51

Part II

Formulas and algebraical expressions 52

Progression 60

Trigonometry 64

Trigonometrical functions 67

Feeds and speeds 74

Cost calculation 77

Levers 88

Pulleys 91

Screws 94

Inclined planes 95

Wedges 97

Gearing definitions, etc 98

Spur gearing 101

Bevel gearing 105

Worm gearing 108

Spiral gearing 111

Review exercises 114

Part III

Dovetail slides 116

Screw threads 117

Lathe change gears 121

Indexing (simple, compound, differential and angular) 124

Spiral milling 129

Friction 130

Electricity 133

Work, power and the steam engine 135

Strength and proportions of gear teeth 138

Resolution of forces 140

Falling bodies 142

Centrifugal force 145

Horse power of belting 146

Length of belting 147

Rope drives 149

Cable or wire rope drives 150

Chain transmission 152

Shaft design 154

Bearing design 1 56

Ball Bearing Design 159

Center of gravity, radius of gyration and moment of inertia 161

Part IV

Graphical charts 166

Strength of materials 175

Springs 187

Pipes and cylinders 191

Riveted joints 194

Logarithms 196

Heat 200

Metal cutting 205

Force, work, energy and momentum 210

Force, shear and bending moment diagrams 216

Pendulum 226

Cam design 231

Review exerc'ses 236

Appendix

Decimal equivalents, squares and roots of fractions. (Table I) 238

Natural trigonometrical functions (Table II) 239

Common logarithms (Table III) 242

Specific gravity of materials (Table IV) 243

Weight and specific gravity of liquids (Table V) 244

Melting point of materials (Table VI) 244

Strength of miscellaneous metals (Table VII) 245

Tapers and angles (Table VIII) 245

Cutting speeds (Table IX) 246

Weights and areas of round, square and hexagon steel. (Table X) 248

Circumference and area and circles (Table XI) 251

Standard dimensions of wrought iron welded tubes. (Table XII) 251

Tap drill sizes (Table XIII) 252

Twist drill and steel wire gages (Table XIV) 253

Standard key seats (Table XV) 254

Multiplication tables (Table XVI) 255

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