Mechanics of Solid

3647 Words15 Pages
1.1 INTRODUCTION Mechanics
of
Solids
 Engineers use the concepts and methods of mechanics of solids in designing and evaluating tools, machines, and structures. The required educational background for these includes courses in statics, dynamics, mechanics of materials, structural integrity and durability, vibrations, etc. Solid mechanics is the division of mechanics that concerns the behaviour of solid matter under external actions (external forces, temperature changes, applied displacements, etc.). It is part of a broader study known as continuum mechanics. The application of the principles of mechanics to bulk matter is conventionally separated into the mechanics of fluids and the mechanics of solids. Solid mechanics is concerned with the stressing, deformation and failure of solid materials and structures. In this essay I am going to describe the branches of Solid Mechanics such as Statics, dynamics, vibrations, mechanics of material and structural integrity and durability. 1.2 STATICS Vectors. Equilibrium of Particles. Free-body diagrams A vector is a quantity that has both magnitude and direction. Vectors can be added using the parallelogram law or the triangle law. Vectors contain components in orthogonal bases. Unit vectors i, j, and k are by convention along the x, y, and z directions. Parallelogram law, like triangle law, is applicable to two vectors. FIGURE 1 (Sandor, B.I.; Roloff, R; et. al. “Mechanics of Solids”Mechanical Engineering Handbook Ed. Frank Kreith Boca Raton: CRC Press LLC, 1999) DEFINITION: Parallelogram law (figure 1) If two adjacent sides of a parallelogram represent two vectors, then the diagonal of parallelogram through the common point represents the sum of the two vectors in both magnitude and direction. In most of the situations, we are involved with the addition of two vector quantities. Triangle law of vector addition is

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