Structural Mechanics 2 (CIVE08026)
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This course engages students with the fundamental principles of Structural Mechanics relevant to civil and mechanical engineers. Specific topics including: equilibrium, stress, strain, axial load, torsion, bending, shear, and deflections in structural elements including beams, columns, struts, ties, and trusses.
Lecture Topics:- T1 Introduction and Overview: Course structure and organisation. What is structural mechanics? - T2 Structural forms: Structural elements and examples. Strength and stiffness. Loads and factors.- T3 Global Equilibrium: Forces and moments, point and distributed loads. Support conditions. Global equilibrium of structures. Concept of structural determinacy and indeterminacy.- T4 Free Body Diagrams and Stress Resultants Truss equilibrium. Stress resultants in struts (axial load), shafts (torsion), beams (shear and bending) and pressure vessels (membrane forces).- T5 Members carrying Axial Load Simple mechanical behaviour. Deformation (due to load and thermal strain).- T6 Members carrying Torsion Torsion of circular shafts and other closed sections. Torsional stiffness and deformation.- T7 Stress Resultants in Determinate Beams (1) Sign conventions. Shear force and bending moment diagrams.- T8 Stress Resultants in Determinate Beams (2) Relationships between w, V, and M- T9 Bending of Beams (1) Euler Beam Theory. Curvature. Plane sections. Bending strains- T10 Bending of Beams (2) Euler Beam Theory. Elastic bending stresses. The neutral axis. Moment - curvature - stress - strain relationships.- T11 Deflection of Beams Double integration of curvature to find deflection. Support boundary conditions. Beam stiffness- T12 Superposition of Deflection Deflection coefficients. Superposition of deflections.- T13 Geometric Section Properties Area, 2nd moments of area, Parallel axis theorem. Rectangular, circular, T and I sections- T14 Composite Beam Sections Modular ratio and equivalent section. Stress and strain diagrams.- T15 Shear Stresses in Beams (1) Complimentary shear. Derivation of shear stress formulae.- T16 Shear Stresses in Beams (2) Shear flow. Rectangular, box and flanged sections.- T17 Combined Loading Combining axial, torsion, shear and biaxial bending stresses.- T18 Stress and Strain Transformation Plane stress, plane strain. Mohr's circle.Tutorials:- 9 'Tutorials' (Format to be decided)Laboratory experiments:- 4-6 'Physical Experiments/Demonstrations' (Format to be decided)
Written Exam 80%, Coursework 20%, Practical Exam 0%
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