TABLE OF CONTENTS MECHANICS AND STRENGTH OF MATERIALS Machinery's Handbook, 31st Edition
MECHANICS 156 Terms and Definitions 157 Unit Abbreviations 157 Acceleration of Gravity g Used in Mechanics Formulas 158 Use of Metric SI System in Mechanics Calculations 160 Force Systems 160 Graphical Representation of Forces 162 Couples 163 Composition and Resolution 164 Solution of Forces in the Same Plane 168 Solution of Forces Not in Same Plane 172 Friction 172 Laws of Friction 173 Coefficients of Friction 174 Simple Mechanisms 174 Levers 176 Inclined Plane—Wedge 177 Wheels and Pulleys 178 Screw 178 Geneva Wheel 179 Toggle Joint 180 Pendulums 180 Formulas 181 Harmonic VELOCITY, ACCELERATION, WORK, AND ENERGY 182 Velocity and Acceleration 182 Newton’s Laws of Motion 182 Constant Velocity and Acceleration 183 Angular Velocity of a Rotating Body 184 Linear Velocity of Points on a Rotating Body 184 Rotary Motion with Constant Acceleration 186 Force, Work, Energy, and Momentum 186 Accelerations Resulting from Unbalanced Forces 188 Energy 189 Work by Forces and Couples 189 Relation Between Work and Energy 190 Force of a Blow
VELOCITY, ACCELERATION, WORK, AND ENERGY
(Continued) 191
Impulse and Momentum Formulas for Work and Power
193
194 Centrifugal Force 195 Calculating 195 Centrifugal Casting 198 Balancing Rotating Parts 198 Static Balancing 198
Running, Dynamic Balance Counterbalancing Masses in a Single Plane Counterbalancing Masses in Two or More Planes Calculations
198 199 201 202
Balancing Lathe Fixtures 204 Critical Speeds STRENGTH OF MATERIALS 206 Mechanical Properties of Materials 208 Compressive and Shear Properties 208 Creep 208 Stress and StrainAnalysis
209 Fatigue Properties 211 Factors of Safety 212 Stress and Strain 212 Working Stress 212
Stress Concentration Factors Simple Stresses Deflections Combined Stresses Three-Dimensional Stress Sample Calculations Stresses and Deflections in a Loaded Ring
216 218 218 222 224 226 227
Strength of Taper Pins RIGID BODY PARAMETERS
228 Center of Gravity 235 Radius of Gyration 238 239 Moment of Inertia 240 238
Center and Radius of Oscillation Center of Percussion
Calculating for Built-Up Sections 241 Formulas for Moments of Inertia, Section Moduli, etc. 251 Polar Area Moment of Inertia and Section Modulus 251 Polar Mass Moment of Inertia 252 Formulas for Calculating
154
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