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EM 318 - Structural Mechanics I (Mecânica das Estruturas I) Determinate Structural Systems. Static equilibrium in planar systems. Free body diagrams. Beam analysis, determination of internal forces by the method of sections. Axial force, shear force and bending moment diagrams. Truss analysis - method of sections and method of joints. Determinate frame analysis - Shear force and moment diagrams for frames. Stress and Deformation - Normal stress and strain. Shear stress and shear strain. Stress strain relation ship. Principal stress and strain. Mohr´s Circle. Energy of deformation. Tension. Simple indeterminate tensoion problems. Torsion - Torsion of solid circular bar and tubes. Torsion of thin-walled noncircular tubes. Theory of Bredt. Elastoplastic torsion. Bending - Simple beam formulation. Strees strain relationships in planar bending. Properties of cross sections - centroid and moment of inertia. Biaxial bending (My, Mz) and combined bending (N, Mb), (N, Mb, Mt). Shear stresses due to shear forces in cross section. Deflections in Bending - Beam deflection differential equation. Moment-Area method. Conjugate beam method. Use of the principle of superposition in the computation of deflections. Buckling - The Euler column, critical load. Axial loaded columns. Eccentrically loaded columns. Columns with initial imperfection. Effect of boundary conditions on the buckling length. The design of columns according to building codes ( REAPE - Regulamento de Estruturas de Aço para Edificios). Energy Methods - Strain energy in beams, truss and framed structures. Principle of virtual work. Unit load method. The Mohr integral. Force Method - Statically indeterminate systems. Indeterminate beams, trusses and frames. Structural symetry. Matrix formulation of the force method. Analysis of continuos beams, three moment equation. Objectives Introduction to the analysis and design of components and structures, including shear and moment diagrams, stress and strain analysis under simple or combined loading, failure criteria, instability, energy theorems, and force method. |