Applied mechanics. Static systems. Examples and tasks

6 PREFACE Applied mechanics consists mainly of three interrelated departments: theoretical mechanics, strength of materials and machine parts. The main purpose of this course is to provide engineering students with knowledge and skills that will enable them to solve engineering problems concerning individual parts of structures and machines in practice, taking into account their reliability and efficiency. The computational examples presented in the handbook make it possible to optimize the design of both the entire machine and its specific parts, enabling to minimize the occasional contradictions between reliability and efficiency that may arise during designing process. The script sequentially presents the basic theoretical issues for each section and then shows several examples of solutions to typical problems in mechanics, strength of materials and machine design. After each topic, the student is given the opportunity to choose and solve practical tasks. Tasks are constructed in a manner to present multiple choices, which promotes understanding and consolidating knowledge of previously learned topics. The tasks, due to the formulated solution schemes, can be used for individual practical computational work of the student both in and out of class. The handbook deals with static systems, which are based mainly on the laws of solid mechanics.

Contents PREFACE ...................................................................................................................................... 6 CHAPTER І ................................................................................................................................... 7 THEORETICAL MECHANICS ................................................................................................ 7 1.1. Flat covering force system ...................................................................................... 7 1.2. Force pairs and moment of a force about a point ...................................... 19 1.3. Flat arbitrary force system. Determination of reactions at the supports 24 1.4. Determination of the centre of gravity of flat shapes ............................... 35 CHAPTER ІІ .............................................................................................................................. 45 STRENGTH of MATERIALS ................................................................................................ 45 2.1. Tension and compression .................................................................................... 45 2.2. Statically non-determinable structures ......................................................... 65 2.3. Geometric characteristics of cross-sections ................................................. 73 2.4. Torsion ......................................................................................................................... 95 2.5. Bending ...................................................................................................................... 106 2.6. Bending with torsion of round rods .............................................................. 127 2.7. The strength of compressed rods ................................................................... 137 CHAPTER ІІІ .......................................................................................................................... 153 MACHINE PARTS ................................................................................................................ 153 3.1. Calculation of welded joints .............................................................................. 153 3.2. Calculation of threaded connections ............................................................. 172 3.3. Calculation of keyed and splined connections .......................................... 196 3.4. Calculation of kinematic and force parameters of gearboxes ............. 211 3.5. Calculation of gears ............................................................................................... 224 3.6. Selection of reducers ............................................................................................ 243 3.7. Graphical schemes of gearbox elements. Creation of kinematic diagrams of drives.......................................................................................................... 248 3.8. Calculations of shafts and axles ....................................................................... 258 3.9. Calculation of plain bearings ............................................................................. 272 3.10. Selection of rolling bearings ........................................................................... 283 5 3.11. Selection of connectors ..................................................................................... 300 APPENDIX .............................................................................................................................. 307 Appendix А (recommended) ......................................................................................... 307 Appendix B (recommended) ......................................................................................... 308 Appendix C (informative) ............................................................................................... 311 Appendix D (informative) ............................................................................................... 314 THE LIST of RECOMMENDED LITERATURE .......................................................... 357