Mechanics of materials

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Aims and scope: 

This course aims to introduce students to the analysis of stresses, strains, and deformations that occur inside a material or structure. It analyses the mechanics of deformable bodies, including energy methods. Vector algebra and calculus are used as part of this course. Upon successful completion of this course, students should be able to understand the fundamental concepts of stress and strain and the relationship between both through the strain-stress equations for simple 3-D elastic solids. They should also be able to calculate forces, deflections, moments, stresses, and strains in a wide variety of structural members subjected to tension, compression, torsion and bending; compute the critical buckling load of a column and understand energy methods; solve problems and identify the fundamental elements involved in the mechanical design of engineering structures; analyse structures experiencing combined loads and characterize multiaxial stress states; develop engineering skills such as problem-solving, critical thinking, self-learning and teamwork.

Topics: 

1. Introduction-Concept of Stress. 2. Stress and Strain-Axial Loading. 3. Torsion. 4. Pure Bending. 5. Analysis and Design of Beams for Bending. 6. Shearing Stresses in Beams and Thin-Walled Members. 7. Transformations of Stress and Strain. 8. Principal Stresses Under a Given Loading. 9. Deflection of Beams. 10. Columns. 11. Energy Methods.

Indicative reading: 

Beer, F. P., Johnston, R., Dewolf, J., & Mazurek, D. (2014). Mechanics of Materials, 7th ed., McGraw-Hill.

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