ΠΕΡΙΓΡΑΜΜΑ ΜΑΘΗΜΑΤΟΣ

This course aims to provide students with a basic understanding of the fundamental principles of mechanics of engineering materials, enable them to determine stresses and strains produced in structural members by external loads and acquire the ability to apply the basic concepts of mechanics of deformable bodies in engineering applications and design problems. Upon successful completion of the course the student will be able to:
– Use of stress-strain graphs to extract material properties.
– Understand the fundamental concepts of stress and strain transformation.
– Determine principal stresses and maximum shear stress in a general two dimensionally stressed system by analytical and graphical methods.
– Compute stress and deflections due to axial, transverse, torsional and combined loading conditions of a beam.
– Calculate shear stresses and their distribution in thin-walled section beams.
– Calculate thermal stress and strain.
– Analyse of statically indeterminate beams.
– Apply Euler’s formula to predict buckling load of columns with typical end conditions.
– Understand different failure criteria for designing of safe structural members.

This course aims to provide students with a basic understanding of the fundamental principles of mechanics of engineering materials, enable them to determine stresses and strains produced in structural members by external loads and acquire the ability to apply the basic concepts of mechanics of deformable bodies in engineering applications and design problems. Upon successful completion of the course the student will be able to:
– Use of stress-strain graphs to extract material properties.
– Understand the fundamental concepts of stress and strain transformation.
– Determine principal stresses and maximum shear stress in a general two dimensionally stressed system by analytical and graphical methods.
– Compute stress and deflections due to axial, transverse, torsional and combined loading conditions of a beam.
– Calculate shear stresses and their distribution in thin-walled section beams.
– Calculate thermal stress and strain.
– Analyse of statically indeterminate beams.
– Apply Euler’s formula to predict buckling load of columns with typical end conditions.
– Understand different failure criteria for designing of safe structural members.

Search, Analysis and synthesis of data and information, independent work, Using corresponding technologies.

– Introduction to Stress and Strain Analysis: Equilibrium of deformation body, Normal stress, Shear stress, Allowable stress design and factor of safety, Design of simple connections, Deformation, Strain, Components of strain.
– Mechanical Properties of Materials: Tensile and compression test, Normal stress-strain diagrams, Young’s modulus, Yielding, Plastic deformation, Breaking strength, Hook’s Law, Poisson’s ratio, Shear stress-strain diagram, Shear modulus.
– Geometrical Properties of Sections: Centre of gravity, Moment of inertia, Polar moment of inertia, Radius of gyration, Product of inertia, Principal moment and principal axes of inertia, Mohr’s circle for moment of inertia.
– Axial Load: Saint-Venant’s principle, Elastic deformation of an axially loaded member, Thermal effects on axial deformation, Stresses in inclined Planes, Stress concentrations.
– Bending of Beams: Symmetric members in pure bending, Unsymmetrical bending analysis, Stress concentration, Bending deflection, Elastic curve, Double integration method.
– Shear Stress in Beams: Shear flow, Shear center, Shear Stress distribution, Shear stress in thin-walled cross-sections.
– Torsion: Torsion of circular shafts, Angle of twist, Torsion of thin-walled cross-sections.
– Transformation of Stress and Strain: Plane stress, Stress transformation for plane stress, Principal stresses and principal planes, Maximum shear stress and corresponding plane, Mohr’s circle for plane stress, Plane strain, Transformation of strains in a plane. Mohr’s circle for plane strain.
– Statically Indeterminate Structures: Displacement method, Energy Methods, Catigliano’s theorem, Superposition method.
– Combined Loadings: Failure theories, Equivalent stress.
– Buckling: Buckling of columns, Critical load, Euler’s formula.

Συγγράμματα

Ferdinand P. Beer, E. Russell Johnston, John T. DeWolf, David Mazurek, “Mechanics for Materials”, 7th Edition, McGraw-Hill, 2014.
R. C. Hibbeler, “Mechanics of Materials”, 9th Edition, Pearson Education, 2013.
Barry J. Goodno, James M. Gere, “Mechanics for Materials”, 9th Edition, Cengage Learning, 2018.