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Structural Analysis I
Topics:
Overview
Member:
Determinacy:
- Determinate structures: statically, dynamically
- Indeterminate structures: statically, dynamically
Columns - strength, stiffness, stability, integrity, fatigue, fracture
Beams -
- Conditions: support, boundary, restraint
- Actions: elastic, inelastic, transition, catenary (tension), failure modes
- Geometry: detailing, properties, constitutive, buckling
- Section: thin, medium, thick (danger of shear locking: shear contribution cover up flexural contribution)
- Material: stress-strain curves, annealing, molecular physio-chemical energetic interactions
Interactions between:
- Macro-level: loading, structural restraint, weathering
- Micro-level: molecular bonding, Van der Wals, sliding planes, cracks & fractures
Slabs:
- Actions: elastic, inelastic, transition, catenary (membrane), failure modes
- Corollary:
- Plates: stiffened plates of sections - thin, medium & thick (danger of shear locking)
- Shells: geometrical difference - additional curvatures
- Membranes: tension membrane effects
Theorems relating to elastic systems - Energy methods
Slope deflection method
Moment distribution method
Analysis methodology:
Global structure:
- Conception: specifications, constraints, layout, geometry, material
- Design:
- Stages: construction, erection, service, maintenance, overhaul
- Loads: top-down for dead loads, distributed for imposed loads
- Assembly: conception, detailing, construction
- Member level: structural design & analysis
- Restraint condition: internal-external, mechanical-chemical, artificial-natural
- Interaction: joints (bolted, welded, contiguous, hybrid), connections
- Repair: addresses causes of problems & problems themselves, selection & repair materials & methodology
- Retrofitting: stabilising (against instability & failure modes), strengthening (confinement, restraint - tie, strut, prop, anchor), protection
Trusses
Arches
Cable structures