The main objective of the course is to provide the students with the necessary tools for the design and assessment of machine components, both under static and fatigue loading. The basics of mechanical design are upgraded in order to include advanced theory of elasticity, finite element analysis, design methods for static and fatigue loads (multiaxial and variable amplitude loading) and tools for assessing the influence of defects on static and fatigue strength. Theory of elasticity is extended in order to make it possible to evaluate stresses in typical mechanical components like pressure vessels, welded junctions, power transmission shafts, and validate finite element analyses.

The students will possess the knowledge of the main tools used for the design and assessment of machine components subjected to static and fatigue loading. Thanks to the practices that are focused on case studies, the students will improve the skills necessary for practical design application. The case studies include activities of laboratory tests and of Finite Element Method application, thus providing the capability to approach the solution of a problem with different tools (analytical, numerical and experimental), to understand their assumptions and limitations, and to analyse and critically discuss the results. The final reports that the students are asked to write will improve the capability on writing a technical design report.

Structural Analysis.

• Statically undetermined systems: Force Method
• Theory of Plates and Shells: Circular Plates
• Axisymmetric problems: Thin and Thick Cylinders loaded by internal and external pressure and centrifugal loads.
• Finite element modelling: basic formulation, definition of stiffness matrix, main shape functions. 

Strength of materials and assessment criteria

• 3D state of stress, multiaxial failure theories
• Cyclic response of materials: High Cycle Fatigue. Endurance limit, Fatigue strength, Modifying factors, Stress Concentration and Notch Sensitivity, Multiaxial Fatigue, Variable Amplitude loading, Cumulative Fatigue damage
• Linear Elastic Fracture Mechanics: energy approach (Griffith), Stress Intensity Factor, K_IC, Fatigue Crack Propagation

Design of Machine Elements

• Shaft and Shaft Components. Materials, layout, design for stress, deflections, critical speeds, components, fits.
• Welding and the Design of Permanent Joints. Stresses in Welded Joints, Strength of Welded Joints.

Case Studies

The first case study will be based either on Railway Axle application or on a Power Transmission Gearbox application depending on the class. In both cases it will include General Analysis, Design of Shafts, Shrink Fits and Fatigue Assessment

The second case study will be a Pressure Vessel, with the Validation of Analytical Methods by Means of FEM analysis and Lab Tests.

The courses assumes that the students already possess the basic knowledge of Mechanics of Structures and Basic Machine Design, including kinematic analysis and solutions of beams, De Saint-Venant cases, 2D stress and strains analysis, stress concentration, failure theories and assessment under static loading.