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Table of Contents
Intro
Abstract
Acknowledgements
Introduction
Contents
Notation Conventions
Theoretical Mechanics
Theory of Mechanisms and Machines
Resistance of Materials
Machine Parts and Design Basics
Introduction to CAD Based on AutoCad AutoLisp
Part I Theoretical Mechanics
1 Statics
1.1 Introduction
1.2 The Subject and Tasks of Theoretical Mechanics
1.3 Strength. Force syste
1.4 Axioms of Theoretical Mechanics
1.5 Connections and Their Reactions
1.5.1 Classification of Constraints
1.6 Conditions for the Equilibrium of Converging Forces
1.7 A System of Parallel Forces: Power Pairs
1.8 Moment of Force Relative to the Point and Axis
1.9 Basic Theorem of Statics
1.10 Equilibrium of an Arbitrary System of Forces
1.11 Solving Problems on the Balance of Systems of Forces
1.11.1 General Comment
1.11.2 Example 1
1.11.3 Example 2
1.11.4 Example 3
1.12 Truss Calculation
1.12.1 Calculation of a Triangular Cantilever Truss
1.12.2 Calculation of a Symmetrical Bridge Girder
1.13 Computer Calculation of Truss
1.14 Center of Parallel Forces
1.15 The Center of Gravity of a Rigid Body
Self-Test Questions
Self-Test Questions
Control Tasks for the Section ``Statics''
Example of Completing a Task
References
2 Kinematics
2.1 Ways to Set the Movement
2.2 Speed and Acceleration of the Point
2.3 The Simplest Movements of a Solid Body
2.3.1 Forward Motion of a Solid Body
2.3.2 Rotation of a Solid Body Around a Fixed Axis
2.4 Complicated Motion of a Point
2.5 Flat Solid Motion
2.5.1 Equations of Plane Motion of a Solid Body
2.5.2 Angular Velocity and Angular Acceleration in Plane Motion
2.5.3 Speed Points in Planar Movement of the Body
2.5.4 Instant Center of Velocity
2.5.5 Speed Plan
2.5.6 Determination of Accelerations of Points of a Body in Flat Motion
2.6 Complex Motion of Points in the General Case
2.6.1 Absolute and Relative Derivatives of a Vector Function of a Scalar Argument
2.6.2 Addition of Velocities
2.6.3 Acceleration of a Point in the General Case of Portable Motion
Self-Test Questions
Self-Test Questions
Control Tasks for the Section ``Kinematics''
Example of Completing a Task
References
3 Dynamics
3.1 Point Dynamics
3.2 Dynamic Coriolis Theorem
3.3 General Theorems of Dynamics of a Point
3.3.1 Basic Concepts and Definitions
3.3.2 Theorem on Changing the Amount of Motion Material Point
3.3.3 Theorem on Changing the Kinetic Energy of a Point
3.3.4 Theorem on Changing the Moment of the Amount of Motion of a Point
3.4 System Dynamics
3.4.1 The Geometry of the Masses
3.4.2 Theorem on the Motion of the Center of Mass of the System
3.4.3 Theorem on Changing the Amount of Motion of a System
3.4.4 Theorem on Changing the Moment of Quantity of Motion of the System
Abstract
Acknowledgements
Introduction
Contents
Notation Conventions
Theoretical Mechanics
Theory of Mechanisms and Machines
Resistance of Materials
Machine Parts and Design Basics
Introduction to CAD Based on AutoCad AutoLisp
Part I Theoretical Mechanics
1 Statics
1.1 Introduction
1.2 The Subject and Tasks of Theoretical Mechanics
1.3 Strength. Force syste
1.4 Axioms of Theoretical Mechanics
1.5 Connections and Their Reactions
1.5.1 Classification of Constraints
1.6 Conditions for the Equilibrium of Converging Forces
1.7 A System of Parallel Forces: Power Pairs
1.8 Moment of Force Relative to the Point and Axis
1.9 Basic Theorem of Statics
1.10 Equilibrium of an Arbitrary System of Forces
1.11 Solving Problems on the Balance of Systems of Forces
1.11.1 General Comment
1.11.2 Example 1
1.11.3 Example 2
1.11.4 Example 3
1.12 Truss Calculation
1.12.1 Calculation of a Triangular Cantilever Truss
1.12.2 Calculation of a Symmetrical Bridge Girder
1.13 Computer Calculation of Truss
1.14 Center of Parallel Forces
1.15 The Center of Gravity of a Rigid Body
Self-Test Questions
Self-Test Questions
Control Tasks for the Section ``Statics''
Example of Completing a Task
References
2 Kinematics
2.1 Ways to Set the Movement
2.2 Speed and Acceleration of the Point
2.3 The Simplest Movements of a Solid Body
2.3.1 Forward Motion of a Solid Body
2.3.2 Rotation of a Solid Body Around a Fixed Axis
2.4 Complicated Motion of a Point
2.5 Flat Solid Motion
2.5.1 Equations of Plane Motion of a Solid Body
2.5.2 Angular Velocity and Angular Acceleration in Plane Motion
2.5.3 Speed Points in Planar Movement of the Body
2.5.4 Instant Center of Velocity
2.5.5 Speed Plan
2.5.6 Determination of Accelerations of Points of a Body in Flat Motion
2.6 Complex Motion of Points in the General Case
2.6.1 Absolute and Relative Derivatives of a Vector Function of a Scalar Argument
2.6.2 Addition of Velocities
2.6.3 Acceleration of a Point in the General Case of Portable Motion
Self-Test Questions
Self-Test Questions
Control Tasks for the Section ``Kinematics''
Example of Completing a Task
References
3 Dynamics
3.1 Point Dynamics
3.2 Dynamic Coriolis Theorem
3.3 General Theorems of Dynamics of a Point
3.3.1 Basic Concepts and Definitions
3.3.2 Theorem on Changing the Amount of Motion Material Point
3.3.3 Theorem on Changing the Kinetic Energy of a Point
3.3.4 Theorem on Changing the Moment of the Amount of Motion of a Point
3.4 System Dynamics
3.4.1 The Geometry of the Masses
3.4.2 Theorem on the Motion of the Center of Mass of the System
3.4.3 Theorem on Changing the Amount of Motion of a System
3.4.4 Theorem on Changing the Moment of Quantity of Motion of the System