LEARNING OUTCOMES

The course aims to provide students of the knowledge and understanding of the criteria of structural design

for static strength

AIMS AND LEARNING OUTCOMES

The course aims to provide students with methodologies and analytical tools for the study of the state of tension / deformation in solids and structures for the purpose of evaluating resistance in the static field, with particular reference to the mechanical elements attributable to the "beam ".

Attendance to lectures and guided exercises and individual study will allow the student to:

• learn the general aspects of Structural Mechanics, in the meaning of an analytical study of the rigid and deformable body
• learn computation methods with the aim of studying solid mechanics models of increasing complexity,
• achieve an excellent ability to analyze both the static equilibrium of rigid and deformable bodies and the relative state of tension / deformation, with particular reference to models of traviform solids, when subjected to static load conditions variously combined
• acquire the ability to extend the principles learned to structures composed of various beams
• master the use of the mechanical characteristics of the materials most used in the mechanical and structural fields with static loads

TEACHING METHODS

The lectures, together with the development of numerous exercises, also in the form of guided exercises, provide the student with a logical and orderly method to follow in the applications of the theory. All the examples / exercises solved use this methodology in order to favor a good assimilation of the theoretical principles, proceeding step by step from the simple example to the more complex and articulated one. The student also achieves a good experience in solving various problems. Starting from the fundamental concepts of stress and strain, the student are encouraged to analyze the experimental behavior of materials, with special reference to materials typically used in engineering, by using photos, experimental samples, videos.

SYLLABUS/CONTENT

Mechanics of solids and structures: forces and moments; equilibrium of deformable body; articulated assemblages of rigid members

Stresses and strains in solids . Principal stresses . Mohr's Mohr's circle plane stress

Special problems of structural mechanics: Beam theory

Materials: Steels and Cast irons; Classification. 

Mechanical properties of materials: tension and compression test; stress-strain diagram; stress-strain behavior of ductile and brittle materials; Hooke's law; Poisson's ratio; shear stress-strain diagram.

Axial load: Saint-venant's Principle; Principle of superposition

Torsion: torsional deformation of a circular shat, angle of twist; solid noncircular beams; thin-walled bams

Bending: shear and moment diagrams and graphical method for constructing ; bending deformation of a straight member; flexure formula; unsymmetric bending 

Transverse shear: shear in straight members; shear formula

Static strength of materials. Ideal or equivalent stress. Strength criteria for ductile materials. Safety condition: Limit stress, Safety factor, Admissible stress.

RECOMMENDED READING/BIBLIOGRAPHY

Russell C. Hibbeler "Mechanics of Materials"  ,9th edition , Pearson Education - 2013