Strength of Mechanical Constructions

Course description

The subject is based on knowledge from first-cycle study in strength of materials, mechanical engineering, mathematics and material science. It aims at presenting the application of basic knowledge and at broaden the knowledge on new advanced fields of machine elements design. The relations between different engineering areas which appear during the design process of machine elements are emphasized.

The scope of the subject covers the following topics:

Introduction

• mechanics of materials in design process – shaping of structural elements; reliability as a function of strength and stiffness conditions; behavior of material under load; modes of failures
• introduction of basic concepts: displacement, deformation, strain, stress, Hooke’s law

Application of energy methods in mechanics

• definition of energy of elastic deformation; simple load cases
• Castigliano’s theorem
• impact load – impact factor
• stability of structures – principles of stationary total potential energy

Curved bars – stress distribution, deformation analysis
Thick cylinders – Lame’s equations
Introduction to plate and shell theory

Project

References

1. Boresi AP., Schmidt RJ. Advanced Mechanics of Materials, Joh Willey & Sons, Inc., New York, 2003.
2. Hartog D. Advanced Strength of Materials, Dover Publications, Inc., New York, 1987.
3. Nash WA. Schaum’s Outline of Theory and Problems of Strength of Materials, McGraw-Hill, New York, 1998.
4. Timoshenko S. Strength of Materials, part II: Advanced Theory and Problems, D. Van Nostrand Company, Inc., New York, 1947.
5. Hibbeler RC. Statics and Mechanics of Materials (5th ed.), Pearson, Boston, 2016.
6. Gere JM., Goodno BJ. Mechanics of Materials, Cengage Learning, Australia, 2009.

Download

Introduction of basic concepts (lecture)
Energy methods in mechanics – Castigliano theorem (lecture) (additional materials) (examples)
Curved bars (lecture) (additional materials) (examples)
Energy methods – Impact load (lecture)
Energy methods – stability of structures (lecture) (examples)
Thick-walled cylinders (lecture) (additional materials) 
Rotating disks (lecture) (additional materials)
Analysis of shell structures (lecture)