Book: A. Arkusha “Technical mechanics. Book: Arkusha A.I. «Technical mechanics. Theoretical mechanics and strength of materials
Guide to solving problems in theoretical mechanics. Arkusha A.I.
5th ed., rev. - M.: 2002. - 336 p.
The manual contains systematically selected typical tasks throughout the course, general guidelines and tips for solving problems. Problem solving is accompanied by detailed explanations. Many problems are solved in several ways.
For students of mechanical engineering specialties of secondary specialized educational institutions. May be useful for students of technical universities.
Format: djvu (2002 , 5th ed., Rev., 336s.)
The size: 6.2 MB
Download: yandex.disk
Format: pdf(1976 , 3rd ed., Rev., 288s.)
The size: 20.5 MB
Download: yandex.disk
Content
Foreword
Chapter I. Actions on vectors
§ 1-1. Addition of vectors. Parallelogram, triangle and polygon rules
§ 2-1. Decomposition of a vector into two components. Vector difference
§ 3-1. Addition and expansion of vectors in a graph-analytical way
§ 4-1. projection method. Projection of a vector onto an axis. Vector projections on two mutually perpendicular axes. Determination of the vector sum by the projection method
Section One Statics
Chapter II. Flat system of converging forces.
§ 5-2. Addition of two forces
§ 7-2. Force polygon. Definition of the resultant of converging forces
§ 8-2. The balance of converging forces
§ 9-2. Balance of three non-parallel forces
Chapter III. Arbitrary plane system of forces
§ 10-3. Moment of a pair of forces. Addition of pairs of forces. The balance of pairs of forces
§ 11-3. Moment of force about a point
§ 12-3. Definition of the resultant arbitrary plane system of forces
§ 13-3. Varignon's theorem
§ 14-3. Equilibrium of an arbitrary planar system of forces
§ 15-3. Equilibrium with Friction Forces
§ 16-3. Articulated systems
§ 17-3. Statistically determined farms. Knot and through section cutting methods
Chapter IV. Spatial system of forces
§ 18-4. Force box rule
§ 19-4. Projection of force on three mutually perpendicular axes. Definition of the resultant system of spatial forces applied to a point
§ 20-4. Equilibrium of a spatial system of converging forces
§ 21-4. Moment of force about the axis
§ 22-4. Equilibrium of an arbitrary spatial system of forces
Chapter V. Center of Gravity ..........................
§ 23-5. Determining the position of the center of gravity of a body composed of thin homogeneous rods
§ 24-5. Determining the position of the center of gravity of figures made up of plates
§ 25-5. Determining the position of the center of gravity of sections made up of standard rolled profiles
§ 26-5. Determining the position of the center of gravity of a body composed of parts having a simple geometric shape
Section Two Kinematics
Chapter VI. Point kinematics
§ 27-6. Uniform rectilinear motion points
§ 28-6. Uniform curvilinear motion of a point
§ 29-6. Equal-variable motion points
§ 30-6. Uneven movement of a point along any trajectory
§ 31-6. Determination of the trajectory, speed and acceleration of a point, if the law of its motion is given in coordinate form
§ 32-6. Kinematic method for determining the radius of curvature of the trajectory
Chapter VII. Rotational motion of a rigid body
§ 33-7. Uniform rotary motion
§ 34-7. Uniform rotational motion
§ 35-7. Uneven rotational movement
Chapter VIII. Complex movement of point and body
§ 36-8. Addition of point motions when translational and relative motions are directed along one straight line
§ 37-8. Addition of movements of a point when the figurative and relative movements are directed at an angle to each other
§ 38-8. Plane-parallel movement of the body
Chapter IX. Elements of the kinematics of mechanisms
§ 39-9. Determination of gear ratios of various gears
§ 40-9. Determination of gear ratios of the simplest planetary and differential gears
Section Three Dynamics
Chapter X. Movement material point
§ 41-10. Basic law of point dynamics
§ 42-10. Application of the d'Alembert principle to solving problems on rectilinear motion of a point
§ 43-10. Application of the d'Alembert principle to solving problems on the curvilinear motion of a point
Chapter XI. work and power. Efficiency
§ 44-11. Work and power in translational motion
§ 45-11. Work and power at rotary motion
Chapter XII. Basic theorems of dynamics
§ 46-12. Tasks for the translational movement of the body
§ 47-12. Tasks for the rotational movement of the body
Arkusha A.I. Guide to solving problems in theoretical mechanics , 1971
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Bat M.I., Dzhanelidze G.Yu., Kelzon A.S. Theoretical mechanics in examples and problems,
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Theoretical mechanics: Guidelines and control tasks for part-time students of energy, mining, metallurgical, electrical instrumentation and automation, technological specialties, as well as geological, electrical, electronic engineering and automation, chemical technology and engineering and economic specialties of universities. Ed. Targa S.M. , ed.4, 1988
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Manufacturer: "Librocom" The textbook contains `Theoretical Mechanics` and `Strength of Materials` - the first two sections of the course `Technical Mechanics` - in accordance with the program for engineering specialties of technical schools. The application of basic laws, theorems, equations, calculation formulas is illustrated by solving practical examples. The textbook can be recommended to students of engineering specialties studying in technical schools and colleges, including on-the-job. The textbook can also be used in groups of students of non-engineering specialties related to the operation of industrial equipment. ISBN:978-5-397-04192-8 Publisher: "Librokom" (2014)
ISBN: 978-5-397-04192-8 |
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Foreword
Introduction
Section one. Theoretical mechanics
Chapter I Fundamentals of Statics
§ 1.1. General information
§ 1.2. Axioms of statics
§ 1.3. Connections and their reactions
Chapter 2
§ 1.4. Addition of two forces applied at a point of a body
§ 1.5. Addition of a flat system of converging forces. Geometric equilibrium condition
§ 1.6. Determination of the resultant system of converging forces by the projection method. Analytical
equilibrium condition
Chapter 3
§ 1.7. Power couple
§ 1.8. Equivalence of pairs of forces
§ 1.9. Addition of people forces. Pair equilibrium condition
§ 1.10. Moment of force about a point
Chapter 4
§ 1.11. Bringing force to a point
§ 1.12. Reduction to a point of a flat system of arbitrarily located forces
§ 1.13. Varignon's theorem
§ 1.14. Special cases of reduction of a plane system of forces
to a point. Equilibrium condition
§ 1.15. Equilibrium equations and their various forms
§ 1.16. Beam systems. Types of supports and types
loads
§ 1.17. Real connections. Sliding friction and its laws
Chapter 5
§ 1.18. The addition of a spatial system of converging
forces. Equilibrium condition
§ 1.19. Moment of force about the axis
§ 1.20. Arbitrary spatial system of forces
Equilibrium condition
Chapter 6
§ 1.21. Center of Parallel Forces
§ 1.22. Center of gravity of the body
§ 1.23. Determining the coordinates of the center of gravity of flat
and spatial figures
§ 1.24. Balance stability
Kinematics
Chapter 7 Point Kinematics
§ 1.25. Basic concepts of kinematics
§ 1.26. Methods for specifying the movement of a point
§ 1.27 Determining the speed of a point with natural
way to set all movements
§ 1.28. Determining the acceleration of a point under natural
way to set its movement
§ 1.29 Particular cases of point motion. Kinematic
§ 1.30. Determination of the speed and acceleration of a point at co
ordinate method of setting its movement
Chapter 8
§ 1.31. translational movement
§ 1.32. Rotational movement. Angular velocity, angular acceleration
§ 1.33. Particular cases of rotational motion
§ 1.34. Velocities and accelerations of various points of a rotating body
§ 1.35. Methods for transmitting rotational motion
Chapter 9
1.36. Complex point movement
§ 1.37. Plane-parallel movement of the body
§ 1.38. Determining the speed of any point of the body
§ 1.39. Instantaneous center of speed
§ 1.40. Addition of two rotational movements
§ 1.41. The concept of planetary gears. Willys formula
Dynamics
Chapter 10
§ 1.42. Basic concepts and axioms
§ 1.43. Free and non-free points
§ 1.44. inertia force
§ 1.45. d'Alembert principle
Chapter 11
§ 1.46. The work of a constant force in rectilinear movement
§ 1.47. The work of the resultant force
§ 1.48. Work of a variable force on a curved path
§ 1.49. Power
§ 1.50. Mechanical efficiency
§ 1.51. The work of forces on an inclined plane
§ 1.52. Work and power during the rotational motion of bodies
§ 1.53. Rolling friction. Rolling work
Chapter 12
§ 1.54. Force impulse. Amount of motion. Kinetic energy
§ 1.55. Theorem on the change in momentum of a point
§ 1.56. Theorem on the change in the kinetic energy of a point
§ 1.57. The concept of a mechanical system
§ 1.58. The basic equation of the dynamics of a rotating body
§ 1.59. Moments of inertia of some bodies
§ 1.60. Kinetic energy of the body. momentum
Section two. Strength of materials
Chapter 1. Basic Provisions
§ 2.1 Problems of strength of materials
§ 2.2. Load classification
§ 2.3. Key Assumptions
§ 2.4. Section method. Load types
Chapter 2
§ 2.6. Normal forces and stresses in the cross section of the beam
§ 2.7. displacements and deformations. Hooke's Law
§ 2.9. Static testing of materials. Main mechanical characteristics
§ 2.10. Strength calculations
§ 2.11. Statically indeterminate systems
Chapter 3 Practical calculations for cutting and crushing
§ 2.12. Basic calculation assumptions and formulas
§ 2.13. Calculation examples
Chapter 4
§ 2.14. Pure shift. Hooke's law in shear
§ 2.15. Torque. Plotting
§ 2.16. Torsion of a round straight bar. Main
prerequisites and formulas
§ 2.17. Strength and stiffness calculations
§ 2.18. Cylindrical extension and compression springs
Chapter 5
§ 2.19. Moments of inertia of sections
§ 2.20. The concept of the main central moments of inertia
§ 2.21. Axial moments of inertia of the simplest sections
Chapter 6
§ 2.22. Straight bend clean and transverse
§ 2.23. Construction of diagrams of transverse forces and bending
moments
§ 2.24. Basic calculation assumptions and formulas
when bending
§ 2.25. Strength calculations
§ 2.26. Shear stresses in transverse bending
§ 2.27 The concept of linear and angular movements
when bending
§ 2.28. Mohr integral
§ 2.29. Vereshchagin's rule
§ 2.30. Stiffness calculations
Chapter 7 Oblique bend. Bending of a beam with tension (compression)
§ 2.31. oblique bend
§ 2.32. Calculations of a beam of high rigidity in bending with
stretching (compression)
Chapter 8
§ 2.33. The concept of the stress state at a point of an elastic body
§ 2.34. Strength hypotheses and their purpose
§ 2.35. Calculations of a beam of round cross-section at
bending with torsion
Chapter 9
§ 2.36. Stability of elastic equilibrium. Critical Power
§ 2.37. Euler formula
§ 2.38. Critical voltage. Limits of applicability of the Euler formula
Bibliography
Subject index