# Engineering Mechanics 1 - Mechanics and Structures

### Module Aims

• The aims are to introduce the fundamental principles of statics as applied in an engineering context and to develop skills in system description and modelling. In general, engineers work to design and analyse systems.
• Understanding and employing physical laws and formulating them mathematically is an inevitable step towards any analysis in engineering. By applying the mechanical science principles such as forces and moments, Newton’s laws and mechanics of materials, an engineer can simulate an engineering problem that underpin many branches of engineering science towards designing new products and/or optimising existing products that are safe, efficient, reliable and cost effective.
• This module provides an overview of fundamental mechanical principles of solids and structures which will be required not only for technical mechanical design, but also for the systematic evaluation and analysis of various engineering problems.

### By the end of the module the student should be able to:

• Understand, model, analyse and simulate a mechanical system by using the laws of physics and appropriate mathematical formulation strategies.
• Simplify, analytically solve and simulate mechanical systems using a step-by-step approach and justify simplifications and assumptions.
• Apply force vectors and couples in free body diagrams and construct the static equilibrium equations in order to determine boundary reactions.
• Understand degrees of freedom and apply the concept to mechanical systems.
• Understand the concepts of isotropic vs. anisotropic materials.
• Comprehend the material properties such as Young’s modulus, Poisson’s ratio and shear modulus and the relationship between them in order to employ the best material and structural options, considering the appropriate safety factors.
• Calculate the internal stress resultants acting at positions within a component to calculate normal and shear stresses.
• Set up a beam/structural model and analyse internal shear forces and bending moments.
• Understand and apply the general bending formula for beam and calculate the bending stress.