The new fourth edition retains the original purpose which has made this book such a large success through every one of its previous editions: to effectively help its readers solve a wide array of mathematical problems specifically related to mechanical work. Aside from its unique compilation of mathematical problems, this book is renowned for its ability to duplicate, as far as possible, personal instruction. Its usefulness as a self-learning guide for the mathematics of mechanical problems is therefore unexcelled.
The entire text has been carefully reviewed and edited where necessary for greater clarity and accuracy. Includes new problem materials. At the request of many users, it now includes trigonometric and common logarithm tables.
Introduction
Some Preliminary Information About This Manual
Part I : Basic Mathematical Principles
Chapter 1 : Arithmetic - Some Useful Elements You May have Forgotten Chapter 2 : Algebra - The Shorthand of Mathematics Chapter 3 : Geometry - Definitions and Principles Commonly Applied Chapter 4 : Trigonometry - Fundamentals Utilized in Solving Practical Problems Chapter 5 : Basic Facts About Common and Hyperbolic Logarithms
Part II : Right - and Oblique-angled Triangle Problems
Chapter 6 : Right-angled Triangles - Finding Unknown Sides and Angles Chapter 7 : Oblique-angled Triangles - Finding Unknown Sides and Angles
Part III : Problems Relating to Tapers and Angles
Chapter 8 : Tapers - Figuring Angles, Diameters and Lengths Chapter 9 : Compound-angled Problems - How They are Analyzed Chapter 10 : Compound-angle Problems - Some Typical Examples
Part IV : Problems Involving Arcs, Circles and Vees
Chapter 11 : Arcs and Circles - Basic Concepts - Length and Location of Tangential Lines Chapter 12 : Arcs and Circles - Tangent to Circles and Lines Chapter 13 : Arcs and Circles - Fixed by Lines and Points Chapter 14 : Vees and Arcs - Checking with Cylinders and Spheres Chapter 15 : Circular Segments - Finding Unknown Elements
Part V : Use of Approximate Formulas
Chapter 16 : Approximate Formulas - Why and How They are Used
Part VI : Problems in Mechanics and Strength of Materials
Chapter 17 : Problems in Mechanics - Where Forces are in Equilibrium Chapter 18 : Problems in Mechanics - Where Forces are Not in Equilibrium Chapter 19 : Factors in Design - Efficiency, Load, Torque, Strength and Power
Part VII : Gear Ratio Problems
Chapter 20 : Gear Ratios - Obtaining by Exact or Approximate Gear Combinations Chapter 21 : Finding Out What Happens in Planetary Gearing
Part VIII : Methods and Formulas for Special Conditions
Chapter 22 : Trial and Error Solutions - When and How They are Used Chapter 23 : Errors - Their Appearance and Systematic Handling Chapter 24 : Working Formulas Based Upon Tests and Experience
Part IX : Miscellaneous Problems and Refresher Questions
Chapter 25 : Miscellaneous Mechanical Problems Chapter 26 : Refresher Questions About Mathematics and Mechanics
Part X : Mathematical Tables
Chapter 27 : Mathematical Tables - Aids for Solving Mechanical Problems