5th ed., Rev. - M .: 2002 .-- 336 p.

The manual contains systematically selected typical tasks throughout the course, general guidelines and tips for solving problems. Solving problems is accompanied by detailed explanations. Many problems have been 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

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Format: pdf(1976 , 3rd ed., Rev., 288p.)

The size: 20.5 MB

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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. Difference vectors
§ 3-1. Addition and decomposition of vectors in a graphical-analytical way
§ 4-1. Projection method. The projection of the vector to the axis. Vector projections onto two mutually perpendicular axes. Determination of the vector sum by the projection method
Section one Static
Chapter II. Flat system of converging forces.
§ 5-2. The addition of two forces
§ 7-2. The polygon of forces. Determination of the resultant of converging forces
§ 8-2. Equilibrium of converging forces
§ 9-2. Equilibrium of three non-parallel forces
Chapter III. Arbitrary flat system of forces
§ 10-3. A moment of couple of forces. Addition of pairs of forces. Equilibrium of pairs of forces
§ 11-3. Moment of force relative to a point
§ 12-3. Determination of the resultant of an arbitrary plane system of forces
§ 13-3. Varignon's theorem
§ 14-3. Equilibrium of an Arbitrary Plane System of Forces
§ 15-3. Equilibrium considering friction forces
§ 16-3. Articulated systems
§ 17-3. Statically definable farms. Node Cut and Through Section Methods
Chapter IV. Spatial system of forces
§ 18-4. Parallelepiped rule of forces
§ 19-4. Force projection onto three mutually perpendicular axes. Determination of the resultant system of spatial forces applied to a point
§ 20-4. Equilibrium of the 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. Determination of 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 composed of plates
§ 25-5. Determination of the position of the center of gravity of sections composed of standard steel profiles
§ 26-5. Determination of the position of the center of gravity of a body composed of parts with a simple geometric shape
Section two Kinematics
Chapter VI. Point kinematics
§ 27-6. Uniform rectilinear movement of a point
§ 28-6. Uniform curvilinear motion of a point
§ 29-6. Equivalent point movement
§ 30-6. Irregular movement of a point along any path
§ 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. Equivalent rotary motion
§ 35-7. Uneven rotary motion
Chapter VIII. Complex point and body movement
§ 36-8. Addition of point movements when the figurative and relative movements are directed along one straight line
§ 37-8. Addition of point movements when the figurative and relative movements are directed at an angle to each other
§ 38-8. Plane body movement
Chapter IX. Elements of kinematics of mechanisms
§ 39-9. Determination of gear ratios of different gears
§ 40-9. Determination of gear ratios of the simplest planetary and differential gears
Section Three Dynamics
Chapter X. Movement of a material point
§ 41-10. Basic law of point dynamics
§ 42-10. Application of the d'Alembert principle to solving problems on the 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 forward motion
§ 45-11. Rotational performance and power
Chapter XII. Basic theorems of dynamics
§ 46-12. Problems for translational body motion
§ 47-12. Tasks for the rotational movement of the body

The manual contains the basic concepts and terms of one of the main disciplines of the subject block "Technical Mechanics". This discipline includes such sections as "Theoretical Mechanics", "Strength of Materials", "Theory of Mechanisms and Machines".

The manual is intended to assist students in self-study of the course "Technical Mechanics".

Theoretical Mechanics 4

I. Statics 4

1. Basic concepts and axioms of statics 4

2. System of converging forces 6

3. Plane system of arbitrarily located forces 9

4. The concept of the farm. Farms calculation 11

5. Spatial system of forces 11

II. Point and Rigid Kinematics 13

1. Basic concepts of kinematics 13

2. Translational and rotational motion of a rigid body 15

3. Plane-parallel movement of a rigid body 16

III. Point 21 dynamics

1. Basic concepts and definitions. The laws of dynamics 21

2. General theorems of the dynamics of a point 21

Strength of materials22

1. Basic concepts 22

2. External and internal forces. Section method 22

3. Concept of voltage 24

4. Stretching and compression of a straight bar 25

5. Shifting and crushing 27

6. Torsion 28

7. Transverse bend 29

8. Buckling. The essence of the phenomenon of buckling. Euler's formula. Critical voltage 32

Theory of mechanisms and machines 34

1. Structural analysis of mechanisms 34

2. Classification of flat mechanisms 36

3. Kinematic study of flat mechanisms 37

4. Cam mechanisms 38

5. Gear mechanisms 40

6. Dynamics of mechanisms and machines 43

Bibliography45

THEORETICAL MECHANICS

I... Statics

1. Basic concepts and axioms of statics

The science of the general laws of motion and balance of material bodies and of the interactions arising from this between bodies is called theoretical mechanics.

Staticscalled the section of mechanics, which sets out the general doctrine of forces and studies the conditions of equilibrium of material bodies under the influence of forces.

Absolutely solidsuch a body is called, the distance between any two points of which always remains constant.

A quantity that is a quantitative measure of the mechanical interaction of material bodies is called by force.

Scalar quantities Are those that are fully characterized by their numerical value.

Vector quantities -these are those that, in addition to their numerical value, are also characterized by a direction in space.

Force is a vector quantity (fig. 1).

Strength is characterized by:

- direction;

- numerical value or modulus;

- point of application.

Straight DE, along which the force is directed, is called line of action force.

The set of forces acting on any solid body is called system of forces.

A body that is not attached to other bodies, to which any movement in space can be imparted from a given position, is called free.

If one system of forces acting on a free rigid body can be replaced by another system without changing the state of rest or motion in which the body is located, then such two systems of forces are called equivalent.

The system of forces under the action of which a free rigid body can be at rest is called balancedor equivalent to zero.

The resulting -it is a force that alone replaces the action of a given system of forces on a rigid body.

A force equal to the resultant in absolute value, directly opposite to it in direction and acting along the same straight line, is called balancing force.

Externalthe forces acting on the particles of a given body from other material bodies are called.

Internalthe forces with which the particles of a given body act on each other are called.

The force applied to the body at any one point is called focused.

The forces acting on all points of a given volume or a given part of the body surface are called distributed.

Axiom 1... If two forces act on a free absolutely rigid body, then the body can be in equilibrium if and only if these forces are equal in magnitude and directed along one straight line in opposite directions (Fig. 2).

Axiom 2... The action of one system of forces on an absolutely rigid body will not change if a balanced system of forces is added to it or subtracted from it.

Corollary from the 1st and 2nd axioms... The action of the force on an absolutely rigid body will not change if the point of application of the force is transferred along its line of action to any other point of the body.

Axiom 3 (axiom of the parallelogram of forces)... Two forces applied to the body at one point have a resultant applied at the same point and depicted by the diagonal of a parallelogram built on these forces, as on the sides (Fig. 3).

R = F 1 + F 2

Vector Requal to the diagonal of the parallelogram built on the vectors F 1 and F 2 is called geometric sum of vectors.

Axiom 4... With any action of one material body on another, there is the same in magnitude, but opposite in direction, opposition.

Axiom 5 (curing principle). The balance of a variable (deformable) body, which is under the action of a given system of forces, will not be disturbed if the body is considered solidified (absolutely solid).

A body that is not fastened to other bodies and can make any movement in space from a given position is called free.

A body whose movements in space are impeded by some other, fastened or in contact with it, bodies are called not free.

Everything that limits the movement of a given body in space is called communication.

The force with which this connection acts on the body, preventing one or another of its movements, is called the strength of the bond reaction or communication reaction.

Communication reaction is directedin the direction opposite to the one where the connection prevents the body from moving.

Axiom of connections.Any non-free body can be considered as free if one discards connections and replaces their action with the reactions of these connections.

2. System of converging forces

Convergingforces are called, the lines of action of which intersect at one point (Fig. 4a).

The system of converging forces has resultantequal to the geometric sum (main vector) of these forces and applied at the point of their intersection.

Geometric sum, or main vector several forces is depicted by the closing side of the power polygon built from these forces (Fig. 4b).

2.1. Force projection onto axis and plane

The projection of the force on the axisis called a scalar value equal to the length of the segment, taken with the appropriate sign, between the projections of the beginning and end of the force. The projection has a plus sign if the movement from its beginning to the end occurs in the positive direction of the axis, and a minus sign - if in the negative (Fig. 5).

Axis force projection is equal to the product of the modulus of force by the cosine of the angle between the direction of the force and the positive direction of the axis:

F X = Fcos.

Force projection onto planeis called the vector between the projections of the beginning and end of the force on this plane (Fig. 6).

F xy = F cos Q

F x = F xy cos \u003d F cos Qcos

F y = F xy cos \u003d F cos Qcos

Sum vector projectionon any axis is equal to the algebraic sum of the projections of the terms of the vectors on the same axis (Fig. 7).

R = F 1 + F 2 + F 3 + F 4

R x = ∑F ix R y = ∑F iy

For equilibrium of the system of converging forcesit is necessary and sufficient that the power polygon built of these forces be closed - this is a geometric condition of equilibrium.

Analytical Equilibrium Condition. For the equilibrium of the system of converging forces, it is necessary and sufficient that the sum of the projections of these forces on each of the two coordinate axes be equal to zero.

∑F ix = 0 ∑F iy = 0 R =

2.2. Three Forces Theorem

If a free rigid body is in equilibrium under the action of three non-parallel forces lying in one plane, then the lines of action of these forces intersect at one point (Fig. 8).

2.3. Moment of force relative to the center (point)

The moment of force relative to the center is called a quantity equal to taken with the appropriate sign the product of the modulus of force by the length h (fig. 9).

M = ± F· h

Perpendicular hlowered from the center ABOUT on the line of action Fis called shoulder force F relative to the center ABOUT.

The moment has a plus signif the force tends to rotate the body around the center ABOUT counterclockwise, and minus sign - if clockwise. methodical allowanceBook \u003e\u003e Philosophy

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Technical mechanics. Vereina L.I., Krasnov M.M.

8th ed. - M .: 2014.- 352 p.

The textbook is intended for the study of the subject "Technical Mechanics" and is part of the educational and methodological kit for disciplines of the general professional cycle for technical specialties. The foundations of theoretical mechanics, resistance of materials, parts and mechanisms of machines are stated; examples of calculations are given. Information about the main methods of changing the mechanical properties of materials and the development trends of machine designs and mechanisms are given. The textbook can be used in the study of the general professional discipline OP.02 "Technical Mechanics" in accordance with the Federal State Educational Standard for vocational education in specialties of a technical profile. For students of institutions of secondary vocational education.

Format: pdf (2014, 352s.)

The size: 17.3 MB

Watch, download: drive.google

Format: pdf (2013, 352s.)

The size: 9.6 MB

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CONTENT
Introduction 5
Chapter 1. Theoretical Mechanics 8
1.1. Basic concepts and axioms of statics 8
1.2. Relationships and their reactions 11
1.3. Flat system of forces 15
1.4. Elements of the theory of friction 23
1.5. Spatial Force System 26
1.6. Determination of the center of gravity 32
1.7. Point kinematics 39
1.8. The Simplest Rigid Body Movements 45
1.9. Difficult movement of point 54
1.10. Addition of two rotational movements 58
1.11. The laws of dynamics, equations of motion of a material point. Principle D "Alamber 66
1.12. Forces acting on points of a mechanical system 70
1.13. The theorem on the motion of the center of mass of a mechanical system 72
1.14. Work of power 75
1.15. Power 80
1.16. Efficiency 81
1.17. Moments of inertia of a rigid body 82
1.18. Theorems about the change in the amount of motion of a material point and a mechanical system 84
1.19. Theorem about the change in the angular momentum of a material point 90
1.20. Theorem about the change in the angular momentum of a mechanical system 92
1.21. The theorem on the change in the kinetic energy of a material point 94
1.22. Differential equations of translational motion of a rigid body 96
1.23. The differential equation of the rotational motion of a rigid body around a fixed axis 96
Chapter 2. Fundamentals of Strength of Materials 99
2.1. Basic concepts 99
2.2, Tension and Compression 101
2.3, Basic mechanical properties of materials 108
2.4. Tensile and compressive strength calculations 110
2.5. Shear and Crush 111
2.6. Torsion 114
2.7. Straight transverse bend 120
2.8. Determination of displacements in bending 144
2.9. Theory of limit stress states - 150
2.10. Understanding fatigue resistance 160
2.11. Strength under dynamic loads 168
2.12. Stability under axial loading of a bar 170
2.13. Revealing the static indeterminacy of rod systems 180
Chapter 3, Machine Parts and Mechanisms 191
3.1. Machines and their main elements 191
3.2. The main criteria for the performance and calculation of machine parts 194
3.3. Engineering materials 202
3.4. Rotary Movement Parts 207
3.5. Body parts 208
3.6. Springs and springs 211
3.7. Permanent connections of parts 213
3.8. Detachable connections of parts 233
3.9. Sleeve bearings 247
3.10. Rolling bearings 253
3.11. Couplings 256
3.12. Friction gears - 260
3.13. Belt drives 261
3.14. Gear drives 270
3.15. Worm gears 288
3.16. Chain drives 300
3.17. Sliding screw nut 308
3.18. Rolling nut 312
3.19. Rack and pinion 314
3.20. Crank mechanisms 316
3.21. Rocker mechanisms 317
3.22. Cam mechanisms 319
3.23. General information about 320 gearboxes
Chapter 4. Changing the Mechanical Properties of Materials 325
4.1. Basic methods of changing mechanical properties 325
4.2. Hardening plastic deformation processing 326
4.3. Improving wear resistance of surface layers 328
4.4. Surface Coatings 329
4.5. Strengthening of surface layers by chemical heat treatment 331
4.6. Lead screw hardening 332
Applications 334
References 347

Couldn't find a technical mechanics tutorial!

So I decided to lay out for those in need! Below is a description of the tutorials in more detail

4 textbooks on technical mechanics, free download, no SMS and registration:

1. Technical mechanics. A course of lectures with options for practical and test tasks (Olofinskaya V.P.) (DJVU format)

2. Technical mechanics Portaev L.P. (DJVU format)

3. Collection of problems on technical mechanics Setkov V.I. (PDF format)

4. Collection of problems in technical mechanics.

DJVUCNTL program for opening DJVU files (got up on XP without problems)

File Type WinRAR Archive.

OS: Windows All

Russian language

License: Freeware (Free)

Size: 35.0 MB

Technical mechanics. A course of lectures with options for practical and test tasks

Olofinskaya V.P.

Publisher: Forum

Year of publication: 2012

Number of pages: 348

Russian language

Format: DJVU

Size: 5.2 MB

This book presents a course of lectures on two sections of technical mechanics - "Theoretical Mechanics" and "Strength of Materials". Each section contains options for hands-on activities on major topics. This tutorial can be used for self-study of the discipline "Technical Mechanics", in particular for distance learning, as well as in preparation for exams and tests.

The textbook is written in accordance with the state educational standard, is intended for students of technical schools and colleges, and can also be recommended for university students.

Publisher: Stroyizdat

Genre: Construction, repair, Education, Mechanics

The main axioms of statics when forces act on a perfectly rigid body and the laws of plane displacement of a point and a rigid body are stated. Methods for calculating elastically deformable common systems operating in the criteria of tension, shear, torsion, bending and their general effect are presented. Methods for calculating multi-span statically definable and indeterminate beams and frames, three-hinged arches, flat trusses, retaining walls are given. The theoretical provisions of the explained material will be accompanied by samples from construction practice.

Publisher: Academy

Genre: Education, Mechanics

Tasks for computational-analytical and computational-graphic works are given for all sections of the course of technical mechanics.

A guide to solving problems in theoretical mechanics.

Publisher: Higher School

Genre: Education, Mechanics

The manual has selected standard problems throughout the course of theoretical mechanics, uniform guidelines and recommendations for solving problems. Problem solving will often be accompanied by thorough explanations. However, many tasks have been solved in several ways. The manual is intended for students of correspondence and evening technical schools and has the task of providing them with support in acquiring the initial skills in solving problems in theoretical mechanics. The manual is used, among other things, by students of day technical schools.

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Solving problems

Determination of beam support reactions,

Determination of support reactions and pinching,