» Guide to solving problems in theoretical mechanics. Arkusha A.I. Here you can download textbooks and problem books on theoretical mechanics V and Goncharik technical mechanics

Guide to solving problems in theoretical mechanics. Arkusha A.I. Here you can download textbooks and problem books on theoretical mechanics V and Goncharik technical mechanics

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4 textbooks on technical mechanics, download for free, without SMS and registration:

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

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

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

4. Collection of problems in technical mechanics.

DJVUCNTL program for opening DJVU files (on XP got up 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

The proposed book presents a course of lectures on two sections of technical mechanics - "Theoretical Mechanics" and "Strength of Materials". Each section contains options practical exercises on the main topics. This textbook can be used for independent study of the discipline "Technical Mechanics", in particular when distance learning as well as in preparation for exams and tests.

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

Publisher: Stroyizdat

Genre: Construction, renovation, Education, Mechanics

The main axioms of statics in the action of forces on a perfectly rigid body and the laws of plane displacement of a point and a rigid body are stated. Methods for calculating the most elastically deformable ordinary systems operating under the criteria of tension, shear, torsion, bending and their general impact are given. Methods for calculating multi-span statically defined and indefinite 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 settlement-analytical and settlement-graphic works on all sections of the course of technical mechanics are given.

Guide to solving problems in theoretical mechanics.

Publisher: Vysshaya Shkola

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 problems are solved in several ways. The manual is intended for students of correspondence and evening technical schools and has the task of giving them support in obtaining initial skills in solving problems in theoretical mechanics. The allowance is used, among other things, by students of daytime technical schools.

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Problem solving

Determination of beam support reactions,

Determination of reactions of supports and restraints,

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. Flat system of arbitrarily distributed forces 9

4. The concept of a farm. Truss calculation 11

5. Spatial system of forces 11

II. Kinematics of point and rigid body 13

1. Basic concepts of kinematics 13

2. Translational and rotational motion of a rigid body 15

3. Plane-parallel motion of a rigid body 16

III. Dynamics of point 21

1. Basic concepts and definitions. Laws of Dynamics 21

2. General theorems of point dynamics 21

Strength of materials22

1. Basic concepts 22

2. External and internal forces. Section method 22

3. The concept of stress 24

4. Tension and compression of a straight beam 25

5. Shift and Collapse 27

6. Torsion 28

7. Cross bend 29

8. Longitudinal bend. The essence of the phenomenon of longitudinal bending. Euler 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 equilibrium of material bodies and of the interactions between bodies arising from this is called theoretical mechanics.

static called the branch of mechanics, which sets out the general doctrine of forces and studies the conditions for the equilibrium of material bodies under the action of forces.

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

The quantity, which is a quantitative measure of the mechanical interaction of material bodies, is called force.

Scalars are those that are fully characterized by their numerical value.

Vector quantities - these are those that, in addition to a 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 module;

- point of application.

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

The totality of forces acting on a rigid body is called system of forces.

A body that is not fastened to other bodies, to which any movement in space can be communicated 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 which a free rigid body can be at rest is called balanced or equivalent to zero.

The resultant - 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.

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

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

A force applied to a body at any one point is called concentrated.

Forces acting on all points of a given volume or a given part of the surface of a body 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 absolute value 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 or subtracted from it.

Consequence from the 1st and 2nd axioms. The action of a force on an absolutely rigid body will not change if the point of application of the force is moved along its line of action to any other point on 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 R, equal to the diagonal of the parallelogram built on the vectors F 1 and F 2 is called geometric sum of vectors.

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

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

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

A body whose movement in space is prevented by some other bodies fastened or in contact with it is 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 bond reaction force or bond reaction.

Communication reaction directed in the direction opposite to that where the connection does not allow the body to move.

Axiom of connections. Any non-free body can be considered as free, if we discard the bonds and replace their action with the reactions of these bonds.

2. System of converging forces

converging are called forces whose lines of action intersect at one point (Fig. 4a).

The system of converging forces has resultant, equal 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 represented by the closing side of the force polygon constructed from these forces (Fig. 4b).

2.1. Projection of force on the axis and on the plane

The projection of the force on the axis is called a scalar quantity equal to the length of the segment, taken with the corresponding sign, enclosed 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 direction (Fig. 5).

Projection of Force on the Axis is equal to the product of the modulus of force and the cosine of the angle between the direction of the force and the positive direction of the axis:

F X = F cos.

The projection of force on a plane called the vector enclosed 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= F cos Q cos

F y = F xy cos= F cos Q cos

Sum Vector Projection on 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

To balance the system of converging forces it is necessary and sufficient that the force polygon constructed from these forces be closed - this is the 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 the same plane, then the lines of action of these forces intersect at one point (Fig. 8).

2.3. Moment of force about the center (point)

Moment of force about the center is called a value equal to taken with the corresponding sign to the product of the modulus of force and the length h(Fig. 9).

M = ± F· h

Perpendicular h, lowered from the center O to the line of force F, is called shoulder of force F relative to the center O.

Moment has a plus sign, if the force tends to rotate the body around the center O counterclockwise, and minus sign- if clockwise. Educational - methodical allowanceBook >> Philosophy

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  • Arkusha A.I. Guide to solving problems in theoretical mechanics, 1971
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    Arkusha A.I., Frolov M.I. Technical mechanics, 1983
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    Bat M.I., Dzhanelidze G.Yu., Kelzon A.S. Theoretical mechanics in examples and problems,
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    The textbook was created for professions related to metalworking.
    The foundations of theoretical mechanics, strength of materials, parts and mechanisms of machines are outlined; examples of calculations are given. Information about the main ways to improve the mechanical properties of materials and the development trends of machine and mechanism designs are given.

    Connections and their reactions.
    A body that can make any movement in space is called free; an example of a free body is an airplane or projectile flying in the air. In various structures and structures, we usually encounter bodies whose movements are subject to restrictions. Such bodies are called non-free. A body that limits the freedom of movement of a rigid body is a bond in relation to it. If the forces applied to the body tend to move it in one direction or another, and the connection prevents such a movement, then the body will act on the connection with the force of pressure on the connection.

    TABLE OF CONTENTS
    Main symbols used
    Introduction
    Section 1. Theoretical mechanics
    1.1. Basic concepts and axioms of statics
    1.2. Connections and their reactions
    1.3. Flat system of forces
    1.4. Elements of friction theory
    1.5. Spatial system of forces
    1.6. Determination of the center of gravity
    1.7. Point kinematics
    1.8. The simplest movements of a rigid body
    1.9. Laws of dynamics, equations of motion material point, the principle of D "Alembert
    1.10. Forces acting on the points of a mechanical system
    1.11. Theorem on the motion of the center of mass of a mechanical system
    1.12. Force work
    1.13. Power
    1.14. Efficiency
    Section 2. Fundamentals of Strength of Materials
    2.1. Basic concepts
    2.2. Tension and compression
    2.3. Basic mechanical characteristics of materials
    2.4. Tensile and Compressive Strength Calculations
    2.5. Cut and wrinkle
    2.6. Torsion
    2.7. straight bend
    2.8. Determination of displacements during bending by the Vereshchagin method
    2.9. Calculation of a bar for the combined action of torsion and bending
    2.10. Strength under dynamic loads
    2.11. Stability under axial loading of the rod
    2.12. Disclosure of the static indeterminacy of rod systems
    Section 3. Parts and mechanisms of machines
    3.1. Machines and their main elements
    3.2. The main criteria for performance and calculation of machine parts
    3.3 Engineering materials
    3.4. Details of rotational movements
    3.5 Body parts
    3.6 Springs and springs
    3.7 Permanent connections of parts
    3.8 Detachable connections of parts
    3.9. Plain bearings
    3.10. Rolling bearings
    3.11. Couplings
    3.12. Friction gears
    3.13. Belt drives
    3.14. gears
    3.15. Worm gears
    3.16. chain drives
    3.17. Transmission screw-nut sliding
    3.18. Rolling screw-nut transmission
    3.19. Rack and pinion
    3.20. Crank mechanisms
    3.21. rocker mechanisms
    3.22. Cam mechanisms
    3.23. General information about gearboxes
    Section 4. Improving the mechanical properties of materials and structures
    4.1. The main ways to improve mechanical properties
    4.2. Hardening processing by plastic deformation
    4.3. Increased wear resistance of surface layers
    4.4. Surface Coatings
    4.5. Hardening of surface layers by chemical-thermal treatment
    4.6. Lead screw hardening
    Conclusion. Trends in the development of machine and mechanism designs
    Applications
    1. Hot-rolled equal-shelf steel corners (according to GOST 8509-93)
    2. Hot-rolled steel corners, unequal (according to GOST 8510-86)
    3. Hot-rolled steel channels (according to GOST 8240-89)
    4. Hot-rolled steel I-beams (according to GOST 8239-89)
    5. Conditional graphic designations in diagrams. Elements of kinematics (according to GOST 2.770-68*)
    Bibliography.


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