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## Über dieses Buch

This textbook introduces and explains the basic concepts on which statics is based utilizing real engineering examples. The authors emphasize the learning process by showing a real problem, analyzing it, simplifying it, and developing a way to solve it. This feature teaches students intuitive thinking in solving real engineering problems using the fundamentals of Newton’s laws.

This book also:

· Stresses representation of physical reality in ways that allow students to solve problems and obtain meaningful results

· Emphasizes identification of important features of the structure that should be included in a model and which features may be omitted

· Facilitates students' understanding and mastery of the "flow of thinking" practiced by professional engineers

## Inhaltsverzeichnis

### 1. Introduction

Nearly, each “Statics” book starts with the statement similar to this one: “the main objective of the book is to provide a student with a clear understanding of mechanics and develop the ability to analyze the problem in a simple and logical manner.” It is indeed hard to argue with such a statement. And if any of the “Statics” books would “provide a clear understanding and ability to analyze the problem,” this book would be unnecessary.

### 2. Laws of Nature and Fundamental Concepts

Basic concepts and definitions

### 3. From Reality to a Free Body Diagram

How to single out the structure element of interest from its surrounding

### 4. Resultant and Equilibrium of Forces Acting at a Point

This chapter deals with forces acting at a point. This, however, does not imply that the rigid body has to be small. Sometimes lines of action of all forces applied to a body intersect at the same point. Thus, the effect of these forces may be studied as if they would act at a point. Such forces are called concurrent. Any two nonparallel in-plane forces acting on a rigid body will always intersect in a point. When two forces are parallel and are opposite in direction, they are called a couple of forces (Sect. 2.​2.​2) and they form a moment that tends to rotate the body. The effect of moments on rigid bodies will be discussed in Chap. 5. When a moment is small, in engineering practice we often neglect its effect and consider forces as if they are acting at a point.

### 5. Equilibrium of Rigid Bodies

In Chap. 4, we discussed equilibrium of objects loaded by concurrent forces. Such objects were modeled as a particle (point). In these cases, the principle of parallelogram of forces may be applied to find the resultant force. Setting the resultant force equal to zero, according to the First Newton’s law, leads to equilibrium equations. In reality, however, there are many situations when a body cannot be modeled as a particle, i.e., forces acting upon it are not concurrent, Fig. 5.1a.

### 6. Distributed Forces: Center of Gravity and Centroids

In previous chapters, we have learned about the equilibrium of rigid bodies loaded by concentrated forces and moments. In this chapter, we will discuss the difference between the concentrated forces, i.e., force acting on a body at a given point, and the distributed forces. It is obvious that the notion of a concentrated force is a simplification of the load acting on a small area. This may be a valid representation when the area of the contact between the load and the body is small. However, when the contact area is not small, relative to the rigid body size, we have to account for the actual force distribution.

### 7. Classification of Structural Elements

In previous chapters, we were dealing with equilibrium of objects modeled either as particles (points) or rigid bodies depending on their size and loading conditions. As we already know the actual geometry of a rigid body has no effect on its equilibrium. The latter depends only on the moments and the relative location of the forces acting upon the body.

### 8. Analysis of Truss Structures

As we described in Chap. 7, there are several main types of structural elements. In this chapter, we will discuss ways to find the internal forces acting in structures. Structures may be spatial or planar. For example, if all of the structure members and loads belong to the same plane, we will call such a structure planar.

### 9. Beams

In Chap. 7, we have introduced three classes of structural elements: truss members, beams, and cables. For each class, we have discussed the requirements that structural element has to meet in order to belong to a particular class. In Chap. 8, we have discussed trusses, and frames. Frames and mechanisms (Chap. 11) are built from truss members and beams.

### 10. Cables

How to calculate the internal forces in cables loaded by concentrated forces?

### 11. Compound Structures

How to identify a compound structure

### Backmatter

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