solid mechanics

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Solid Mechanics

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solid mechanics
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topic	content	support notes	assigments

deflection of beams	moment-curvature relationships; governing differential equation for a beam; deflection by successive integrations; singularity functions (SF); non-prismatic members; method of superposition; statically indeterminate beams. see also Gere 5.1-5.7, 9.1-9.5, 9.11-9.12, 10.1-10.4	cantilever.swf boundary_conditions.swf example_beam_deflections.pdf example_MDSolids.pdf example_singularity.ptt summary singularity functions.pdf summary beam deflection.pdf example superposition.pdf example_codes_handbook.pdf	photo_contest1.pdf and the winners are: pc#1_1.pdf pc#1_2.pdf pc#1_3.pdf pc#1_4.pdf pc#1_5.pdf
buckling (stability)	stable, neutral and unstable equilibrium; Euler bucking load; other support conditions; column strength curves (theoretical and experimental). see also Gere 11.1-11.9	column buckling history.pdf more about Euler ... and his seven bridges.pdf column resistance CSA.pdf buckling with MDSolids.pdf CSA_column_formulae.pdf CSA_column_example.pdf example truss.pdf summary columns.pdf column design.pdf	photo_contest2.pdf and the winners are: pc#2_1.pdf pc#2_2.pdf pc#2_3.pdf pc#2_4.pdf pc#2_5.pdf (acually not a winner)
combined axial load and bending moment	normal stress due to axial load; normal stress due to bending; geometrical non-linearity; Secant Formula for beam-columns; application to prestressed concrete. see also Gere 2.1-2.3, 5.5, 11.5-11.6, 6.2	eccentrically_loaded_columns.pps eccentrically loaded columns.pdf US column codes.pdf Canadian column codes.pdf CSA_beam_columns.pdf CSA_example.pdf multistrand cable systems.pdf post-tensioning systems.pdf failure modes.pdf
principal axes and principal moments of inertia	first moment of area; second moment of area, polar moment; product of inertia; rotation of axes; Mohr's Circle for the calculation of principal axes and principal moments of inertia, computations of stresses and shear due to bending. see also Gere 12.1-12.9, 7.1-7.7, 8.1-8.5, 5.5-5.10	playing with centroids master playing cantilever with T-section flexure of T-shape U-shaped beam beam with hole in section example composite beam composite alu_steel steel_concrete retrofitting a timber beam example axes rotation Mohr's Circle of Inertia shear due to bending shear in nailed section example 2 picture
biaxial stress and strain	introduction to Mohr's Circle; calculating stress on an arbitrary plane using Mohr's circle; stress transformation equations; maximum normal (principal) stresses; maximum shear stress; principal stresses in beams; biaxial strains; strain gauges. see also Gere 7.1-7.7	example 1 example 2 riley_2_13 gere_7_4 riley_2_14 / 1 diagramme riley_2_14 / 2 mdsolids riley_2_14 / 3 summary strain gauge theory transformation & rosettes strain gauge problems link to strain gauge (industrial) calculators
inelastic bending	review elastic and plastic section modulus; shape factor; plastic analysis of structures; example analyses with computer programme see also Gere 6.10	plastic design with computers fixed ended beam with UDL plastic methods summary plastic methods.pdf	photo_contest3.pdf deadline: 2.4.09 and the winners are: pc#3_1.pdf pc#3_2.pdf pc#3_3.pdf pc#3_4.pdf collapses? buildings with messages
review and practical applications	beams, stability, stresses, strain, inelastic behaviour of structures, earthquakes see Gere sections as indicated above	bridges in BC world longest viaduct safety concepts
special topics	compression and tension members, structural (bridge) systems, safety concepts	tensegrity structures
general tips		free body diagrammes moment of inertia CSA_bending member design LRFD_bending member design
exam:	all aids permitted including lap top, books, notes, etc.; however, these aids may not be used for communication with other persons or exchange of solutions during the exam	nothing for nothing
note:	red boldfaced topics may be subject of the quizzes not all red boldface topics are covered by the recommended textbook - please refer to classnotes for background and examples
	why correct dimensioning (such as height of a frame, length of a bridge, and so on) is important:
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Lec. Tue, Thu 11:00-12:30 CHBE 101 Prob. Fri 11:00-13:00 FRDM 153

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