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Technical Inside the SQL Server Query Optimizer
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Technical Statics and Mechanics of Materials SI
Posted on 2010-03-16
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Fundamental concepts; Units of measurement Chap. 2 Force Vectors Vector operations Vector addition of forces Addition of a system of coplanar forces Cartesian vectors Addition and subtraction of 3D forces Position vectors Dot product Chap. 3 Force System Resultants Moment of a force: scalar formulation Cross product Moment of a force: vector formulation Principle of moments Moment about an axis Moment of a couple Equivalent system Resultant of a force-couple system Further reduction to a single force Chap. 4 Equilibrium of a Rigid Body Conditions for rigid-body equilibrium Free body diagrams Equations of equilibrium Two and three force members Chap. 5 Structural Analysis Simple trusses The method of joints Zero-force members The method of sections Frames and Machines Chap. 6 Geometric Properties and Distributed Loadings Centre of gravity for a system of particles left of gravity and centroid for a body Composite bodies Resultant of a distributed Force system Moments of inertia for areas Parallel-axis theorem Moments of Inertia for composite areas Review I Chapters 1-6 Chap. 7 Internal Loadings Internal loadings developed in structural members Shear and moment equations and diagram Relation between distributed load, shear and moment Chap. 8 Stress and Strain Stress Average normal stress in an axially loaded bar Average shear stress Allowable stress Design of simple connections Deformation Strain Chap. 9 Mechanical Properties of Material The tension and compression Test The stress-strain diagram Stress-strain behaviour of ductile and brittle materials Hooke’s law Poisson’s ratio The shear stress-strain diagram Chap. 10 Axial Load Saint-Venant’s principle Elastic deformation of an axially loaded member Principle of superposition Thermal stress Chap. 11 Torsion Torsional deformation of circular shaft The torsion formula Angle of twist Chap. 12 Bending Bending deformation of a straight member The flexure formula Unsymmetric bending Composite Beams Review II Chapters 7-12 Chap. 13 Transverse Shear Shear in straight members The shear formula Shear stress in beams Rectangular cross section Wide-Flange beam Shear flow in built-up members Chap. 14 Combined loadings Thin-walled pressure vessels Cylindrical vessels Spherical vessels State of stresses caused by combined loadings Chap. 15 Stress and strain transformation Plane-stress Plane-stress transformation Principal stresses Maximum in-plane shear stress Mohr’s circle for plane stress state Plane strain Plane strain transformation Strain rosettes Generalized Hooke’s law Chap. 16 Design of beams Stress variations over a prismatic beam Beam design Precedure of analysis Chap. 17 Buckling of columns Column buckling Critical load Column with pin supports Columns with different boundary conditions Effective length Effective-slenderness ratio Review III Chapters 13-17
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