Mechanics of Materials

Α. ELEMENTS OF STATICS

(Non-Deformable Bodies)

1. Introduction. Forces. Forces synthesis and equilibrium. Torque. Solid body balance and equilibrium equations.

2. Trusses. Elements of vector analysis. Working with vectors. Trusses. Statically Indeterminate truss

3. Diagrams Ν, Q, Μ. Type of vectors and methods of joint. Beam Stress state. Uniaxial - Shear.

Β. STRENGTH OF MATERIALS (Deformable Bodies)

4. Introduction in strength of materials. Axial, plane, general stresses. Hooke’s Law. Generalized Hooke’s law. Superposition principle. Shear. Thermal stresses. Static problems.Mechanical behaviour of metals, ceramics and polymers.

5. Fracture, Plastic Yielding and Fatigue of Materials

Failure in tension and compression. General principles of fracture mechanics. Plastic yielding. Models of yielding. Fatigue of materials. Models describing fatigue behaviour.

6. Thermal stresses and strains

Thermal effects. Volumetric change under axial loading. Thermal expansion and calculation of stresses in various temperatures.

7. Bending and Torsion

8. Axial loading and Bending. Geometric centres, moment of inertia. Bending. Maximum hoop stress. Beam dimensioning during bending. Shear-bending. Axial loading and Torsion.Torsion of thin-walled vessels. Torsion of round sectional bar. Static problems of torsion.

9. Thin-walled pressure vessels

Stresses and deformations. Failure. Volumetric behaviour. Design problems.

Κeywords: trusses, forces, diagrams Ν, Q, Μ, shear, thermal stresses, Hooke Law, thin-walled tubes, torque, torsion, bending