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Applied Mechanics and Strength of Materials International Library of Technology 374B Applied Mechanics and Strength of Materials 197 ILLUSTRATIONS Prepared Under Supervision of A. B. CLEMENS DIRECTOR, MECHANICAL SCHOOLS, INTER- NATIONAL CORRESPONDENCE SCHOOLS LINK MECHANISMS GEARING GEAR TRAINS AND CAMS PULLEYS AND BELTING MATERIALS OF CONSTRUCTION STRENGTH OF MATERIALS THE TESTING OF MATERIALS Published by INTERNATIONAL TEXTBOOK COMPANY SCRANTON, PA. Link Mechanisms: Copyright. 1906, by INTERNATIONAL TEXTBOOK COMPANY. Gearing: Copyright, 1906, by INTERNATIONAL TEXTBOOK COMPANY. Gear Trains and Cams: Copyright, 1906, by INTERNATIONAL TEXTBOOK COMPANY. (Pulleys and Belting: Copyright, 1906, by INTERNATIONAL TEXTBOOK COMPANY. 1927 Materials of Construction: Copyright, AJJQ6, by INTERNATIONAL TEXTBOOK COMPANY. -**"-.*,. Strength of Materials, Parts 1 and 2: Copyright, 1906, by INTERNATIONAL TEXT- BOOK COMPANY. The Testing of Materials: Copyright, 1906, by INTERNATIONAL TEXTBOOK COM- PANY. Entered at Stationers' Hall, London. All rights reserved Printed in U. S, A. 6095 sty' PRUSS OF INTERNATIONAL TEXTBOOK COMPANY 94217 SCRANTON, PA. 374B PREFACE The volumes of the International Library of Technology are made up of Instruction or Papers, Sections, comprising the various courses of instruction for students of the International Correspondence Schools. The original manuscripts are pre- pared by persons thoroughly qualified both and ^ technically by experience to write with authority, and in many cases they are regularly elsewhere in employed practical work as experts. The manuscripts are then carefully edited to make them suit- able for correspondence instruction. The Instruction Papers are written and in the clearly simplest language possible, so as to make them understood all readily by students. Necessary technical expressions are clearly explained when introduced. The of great majority our students wish to prepare them- selves for advancement in their vocations or to qualify for more congenial occupations. Usually they are employed and able to devote a only few hours a day to study. Therefore effort must be every made to give them practical and accurate in information clear and concise form and to make this infor- mation include all of the essentials but none of the non- essentials. To make the text clear, illustrations are used These freely. illustrations are especially made by our own in Illustrating Department order to adapt them fully to the requirements of the text. In the table of contents that immediately follows are given the titles of the Sections included in this volume, and under eacli title are listed the main topics discussed. INTERNATIONAL TEXTBOOK COMPANY B CONTENTS NOTE. This volume is made up of a number of separate parts, or sections, as indicated by their titles, and the page numbers of each usually begin with 1. In this list of contents the titles of the parts are given in the order in which they appear in the book, and tinder each title is a full synopsis of the subjects treated. LINK MECHANISMS Pages Relative Motions of Links 1-35 Introduction 1-2 General Kinematic Principles 3-8 Kinds of constrained motion; Plane motion of a rigid body; Relative motion. Levers 9-35 Steam-engine mechanism; Quick-return motions; Straight-line motion; Universal joint. GEARING Toothed Gearing 1-46 Rolling Curves on Surfaces 1-4 Spur Gearing 5-32 Involute or General principles ; systems ; Cycloidal, rolled-curve, system; Proportions of gear-teeth; Con- struction of tooth profiles. Bevel Gearing 33-40 41-46 Spiral and Worm-Gearing GEAR TRAINS AND CAMS Gear Trains !~29 6-14 Engine-Lathe Gear Trains Back-gear train; Screw-cutting train. 15-23 Epicyclic Trains vi CONTENTS GEAR TRAINS AND CAMS (Continued) Pages Revolving Gear Trains 24-25 Reversing Mechanisms 26-29 Cams and Cam Trains 30-45 Rotary Cams 31-39 40-41 Sliding and Cylindrical Cams Ratchet Mechanisms 42-45 PULLEYS AND BELTING 1-33 Belt Gearing , Kinematics of Flexible Gearing 1-5 Length of Open and Crossed Belts 6-17 Power Transmission by Belt 18-22 Care and Use of Belting 23-26 Belt Connections for Non-Parallel Shafts 27-33 MATERIALS OF CONSTRUCTION Metals 1-54 Iron 1-20 Manufacture and Properties of Iron 1-7 Forms of iron; Ores of iron; Separation of iron from its ores; Blast furnace; Pig iron. Cast Iron 3-16 Cupola; Characteristics of cast iron; Carbon in cast iron; cast iron Silicon, sulphur, phosphorus, and manganese m ; cast iron Chilled ; Malle- Change of volume of ; castings able castings;' Case-hardening malleable castings. Wrought Iron 16-20 iron furnace Siemens Purity of wrought ; Puddling ; regen- erative furnace; Puddling and rolling; Properties of wrought iron; Defects of wrought iron. Steel 21-42 Classification 21-22 Open-Hearth Steel and Bessemer Steel 23-26 Blister Steel and Shear Steel 27 Crucible Steel 28-30 steel Tool steel. Superiority of crucible ; Electric Furnace Steel 30-31 CONTENTS vii MATERIALS OF .CONSTRUCTION (Continued) Pages 32-34 Ingots and Steel Castings ......................... Ingots; Shaping of ingots; Defects in ingots; Steel castings. 35-42 Alloy Steels .................................... Tungsten steel; Air-hardening, or self -hardening, steel; Nickel- Manganese steel; Nickel steel; Chrome steel; chrome steel; Chrome-vanadium steel; Stainless steel; Titanium steel. Non-Ferrous Alloys ............................. 43-54 Brasses and Bronzes ............................. 43-47 Value of non-ferrous alloys; Brass; Bronze. Bronze and Brass Castings ................... 48 48-51 Miscellaneous Alloys ............................ Copper-nickel alloys; German silver; Silicon bronze; Copper-manganese alloy; Babbitt metal; Solder. 52 Aluminum Alloys ............................... Magnalium; Duralumin; Aluminum-zinc alloys; Alumi- num-copper alloy. ' 53~54 Special Alloys ..... ............................. Die-casting alloys; Stellite. Non-Metals ..................................... 55-71 Mortars and Concrete ............................ 55-59 Portland cement; Portland-cement concrete; Portland- cement mortar; Difference between mortar and con- of concrete ; Cement ; crete Cement ; paste Proportioning ; Methods of mixing concrete. Timber ..................................... ; Characteristics of timber; Evergreen timber; Tropical Wood Hardwood timber ; preservatives. timber ; Transmission Rope ............................... 67-68 Manufacture of rope; Mounting of hemp rope. 69~71 Selection of Materials ........................... STRENGTH OF MATERIALS, PART 1 ................ 1-18 Stress, Deformation, and Elasticity 1- 2 Stress and Deformation .......................... ~ ...................................... 3 5 Elasticity 6-7 Tension ........................................ Compression .................................... viii CONTENTS STRENGTH OF MATERIALS, PART I (Continued') Pages Shear 9-10 Factors of Safety 11-13 Pipes and Cylinders 14-18 Elementary Graphic Statics 19-26 Force diagram and equilibrium polygon; Composition of moments; Graphic expressions for moments. Beams 27-52 Definitions 27 Simple Beams 28-43 Reactions of supports; Vertical shear; Bending moment; Simple beam with uniform load; Simple beams with mixed loads. Overhung Beams and Cantilevers 44-52 STRENGTH OF MATERIALS, PART 2 Beams 1_15 Strength of Beams 1-10 Deflection of Beams 11-13 Comparison of Strength and Stiffness of Beams 14-15 Columns 16-22 Torsion and Shafts 23-28 Ropes and Chains . 29-34 THE TESTING OF MATERIALS Methods and Appliances 1_39 Test Pieces 2-4 Apparatus for Testing Materials 5_14 Tension Test 15-17 Records of the Test 18-24 Compression Test 25-27 Method of making the test; Records of the test. Transverse Test 28-31 Shearing and Torsion Tests 32 Miscellaneous Tests 32-39 LINK MECHANISMS Serial 990 Edition 1 RELATIVE MOTIONS OF LINKS INTRODUCTION 1. Mechanics. The science that treats of the motions of bodies and of the forces that produce or tend to produce such motions is called mechanics. Applied mechanics comprises the principles of pure mechanics as applied to the design and construction of machinery or to works of engineering The part of applied mechanics that relates to machinery is called the mechanics of machinery. The mechanics of machinery may be divided into two. chief branches: kinematics of machinery, treating of the motions of machine parts without regard to the forces acting- dynamics of machinery, treating of the forces acting on machine parts and of the transmission of force from one part to another. 2. Free and Constrained Motion. A is said be body to free when it move in may any direction in obedience to the forces acting on it. A body is constrained when the nature or direction of its motion is determined by its con- nection with other bodies. Examples of free bodies are the moon, the sun, and other heavenly bodies. Examples of constrained bodies are seen m every machine. Thus, the crosshead of an engine is con- SUldeS ' Md the Shaft ^ the b in w If -ings COPV R1S H TKD BV , NTBRNAT10NAL TBXTB LINK MECHANISMS In constrained motion, every point of the constrained body is forced to move in a definite path, no matter what may IDC the direction of the force that causes the motion. Any lorce that tends to give the body some other motion is at once neutralized by an equal and opposite force developed in the constraining members. For example, the block a, Fig. 1, is enclosed by stationary guides b and c and its only possible motion therefore is a sliding motion along the line EF. Suppose that the acting force P has the direction of the line MN. Then, if a were free, the force
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