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MECH206 STRENGTH OF MATERIALS

Course Objectives

At the end of this course, the student will:

• identify the concepts of stress, and factor of safety and their applications to the analysis and design of members.
• identify the concepts of strain, stress-strain diagrams, Poisson’s ratio and Generalized Hooke’s law for isotropic materials in order to solve problems involving temperature changes, in the form of statically determinate and indeterminate problems.
• analyze the stresses in statically determinate and indeterminate members subjected to torsional loadings, bending, asymmetric bending, and eccentric axial loading.
• analyze shear stress distribution in beams and in thin-walled members subjected to transverse loadings, and stresses under combined loading conditions.
• derive the stress transformation equations, and determine maximum shear stress, principal stresses and their planes, and the orientation of elements on which these stresses act, by using Mohr’s circle.
• use various methods to determine the equation of the elastic curve or the deflection and slope at specific points on beams and shafts, and employ deflection relations to determine the reactions of statically indeterminate beams.
• identify work and strain energy, apply energy methods and Castigliano’s theorem to determine deflection and slope of structural and mechanical components, and analyze buckling of columns subjected to centric load.
• analyze stress concentrations, stresses in thick-walled cylinders, shrink fits, curved members, contact stresses for spherical and cylindrical contacts
• identify static design criteria for ductile and brittle materials, and fatigue failure criteria for fluctuating stresses.

Course Content

Concept of stress: normal, bearing and shear stresses. Stress and strain in simple loadings: axial loading, pure torsion and bending. Thermal stresses. Deflection of beams: Integration, moment area and superposition methods. Statically indeterminate members. Combined loadings: Combined stresses, Mohris circle. Pressurized thin walled cylinders. Stability of columns.

Course Learning Outcomes

Having successfully completed this course, the student will be able to:

• identify the concepts of normal and shear stress, ultimate stress, factor of safety and their applications to the analysis and design of members subjected to an axial load or direct shear
• identify the concepts of normal strain and shear strain, stress-strain diagrams for ductile and brittle materials, Poisson’s ratio and Generalized Hooke’s law for isotropic materials, determine the deformations in axially loaded members and problems involving temperature changes, distinguish and solve the related statically determinate and indeterminate problems.
• analyze the stress and angle of twist in statically determinate and indeterminate circular members subjected to torsional loadings.
• determine stresses in members caused by bending, asymmetric bending, and eccentric axial loading.
• analyze shear stress distribution in beams and in thin-walled members subjected to transverse loadings.
• analyze stresses under combined loading conditions where axial force, shear force, bending moment and torsion occur simultaneously at a member’s cross-section.
• derive the stress transformation equations, obtain maximum shear stress, principal stresses and their planes, and determine the orientation of elements on which these stresses act, use Mohr’s circle for transformation of plane stress and strain, determine stresses in thin-walled cylindrical and spherical pressure vessels.
• use various methods such as integration method with singularity functions, moment-area method and superposition method, to determine the equation of the elastic curve or the deflection and slope at specific points on beams and shafts, use deflection relations to determine the reactions of statically indeterminate beams.
• identify work and strain energy, apply energy methods and Castigliano’s theorem to determine deflection and slope of structural and mechanical components, and analyze buckling of columns subjected to centric load.
• analyze stress concentrations, stresses in thick-walled cylinders, shrink fits, curved members, contact stresses for spherical and cylindrical contacts.
• identify static design criteria for ductile (maximum shear stress theory, maximum distortion energy theory, Coulomb-Mohr Theory) and brittle materials (Brittle Coulomb-Mohr Theory, Modified Mohr Theory).
• identify fatigue in metals, stress life method, endurance limit, endurance limit modifying factors, stress concentration and notch sensitivity, fatigue failure criteria for fluctuating stresses (Soderberg, Langer, Modified Goodman and ASME Elliptic Criteria), combination of loading modes, cumulative fatigue damage.

Program Outcomes Matrix

0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution