This unique compendium covers the fundamental principles of mechanics of materials, focusing on the mechanical behaviour of structural members under various types of loads, including axial loading, bending, shearing, and torsion. The members can have various shape and constrained in different ways. Concepts of energy and failure criteria are also included.

The useful text/reference book is written in Jupyter notebook format, so that description of theory, formulation, and coding can all be done in a unified document. This provides an environment for easy reading, exercise, practicing, and further exploration.

Contents:

• Introduction


• Preliminaries: Number, Vector, Tensor, and Functions


• Forces and Stresses


• Displacements and Strains


• Elasticity Tensor and Constitutive Equations


• Equilibrium Equations


• Solution to Axially Loaded Bars


• Solution to Bended Beams


• Torsion of Bars


• Property of Areas


• Normal Stress by Moments


• Shear Stress by Shear Force


• Energy Methods


• Failure Criteria and Failure Analysis

Readership: Researchers, professionals, academics and graduate students in engineering mechanics, mechanical engineering and aerospace engineering.