Solid mechanics is the branch of mechanics, physics, and mathematics that concerns the behavior of solid matter under external actions (e.g., external forces, temperature changes, applied displacements, etc.). It is part of a broader study known as continuum mechanics. One of the most common practical applications of Solid Mechanics is the EulerBernoulli beam equation. Solid mechanics extensively uses tensors to describe stresses, strains, and the relationship between them.
There are three models that describe how a solid responds to an applied stress:
A material has a rest shape and its shape departs away from the rest shape due to stress. The amount of departure from rest shape is called deformation, the proportion of deformation to original size is called strain. If the applied stress is sufficiently low (or the imposed strain is small enough), almost all solid materials behave in such a way that the strain is directly proportional to the stress; the coefficient of the proportion is called the modulus of elasticity or Young's modulus. This region of deformation is known as the linearly elastic region.
It is most common for analysts in solid mechanics to use linear material models, due to ease of computation. However, real materials often exhibit nonlinear behavior. As new materials are used and old ones are pushed to their limits, nonlinear material models are becoming more common.

Strength of Materials
Strength of Materials in Engineering Mechanics
Introduction  Introductory concepts  Loading of Beams  Torsion  General State of Stress
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This book is a first course in the analysis of structures. Although most of the material should be accessible to all students who have had a mechanics course, a previous exposure to Engineering Mechanics would be useful. There are no mathematical prerequisites, though some elementary calculus would be useful in certain sections which can be skipped without affecting the flow of the book.
Solid mechanics is the branch of mechanics, physics, and mathematics that concerns itself with how solid matter under external actions works (such as external forces, temperature changes, applied displacements, etc.). It is part of a larger study known as continuum mechanics. One of the most common practical applications of solid mechanics is the EulerBernoulli beam equation.
