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Projecto Avançado de Estruturas Navais. Mestrado em Engenharia Naval. Contents (1). Structural Stability – basic principles Linear approach Non-linear response Non-linear behavior of beam-columns and plates subjected to compressive and combined loading. Influence of initial imperfections

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projecto avan ado de estruturas navais

Projecto Avançado de Estruturas Navais

Mestrado em Engenharia Naval

contents 1
Contents (1)
  • Structural Stability – basic principles
    • Linear approach
    • Non-linear response
  • Non-linear behavior of beam-columns and plates subjected to compressive and combined loading.
    • Influence of initial imperfections
  • Buckling of plates and stiffened plates
    • Initial imperfections
    • Residual stresses
contents 2
Contents (2)
  • Ultimate strength of plates and stiffened plates
    • Concept of effective width
    • Reduction of strength due to imperfections and welding
  • Residual strength and post buckling behavior of components
  • Hull girder strength
    • Linear and Non-linear behavior
    • Ultimate bending moment
    • Residual strength
structural stability basic principles
Structural StabilityBasic principles
  • Equilibrium stability concept
    • A) Stable
    • B) Unstable
    • C) Neutral
  • Structural limit states
    • Ultimate limit
      • Global Failure
      • Local Failure
    • Serviceable limit
structural stability
Structural Stability
  • Stability and Instability
    • Ex: Euler column
      • EI – Structural modulus
equilibrium state
Equilibrium state
  • A) Stable
  • B) Unstable
  • C) Stable

Transition between differentstates of equilibrium

types of instability
Types of instability
  • Bifurcation
  • Snap-through

Euler column

P/PE=1+(pq/l)2/8

non linearity
Non linearity

Physical non-linearity

Geometrical non-linearity

material plasticity
Material (Plasticity)
  • Plasticity
  • Residual stresses
stability criteria
Stability Criteria
  • Static criteria
    • Adjacent equilibrium criteria (bifurcation)
    • Energy criteria (Minimum Potential Energy)
linear analysis
Linear Analysis
  • Discrete systems
  • Continuous systems
  • Aproximate methods
    • Finite differences method
    • Engesser-Newmark method
    • Galerkin method (diferential equations)
    • Rayleigh-Ritz method (potential energy)
    • Finite element method
basic concepts
Basic concepts
  • Effective length
    • Boundary conditions
  • Effective width
    • Boundary conditions
    • Loading
    • Manufacturing
  • Initial geometric imperfections
    • Residual stresses and welding procedure
    • Mounting process and restraining
  • Residual stresses
    • Welding procedure
    • Restraining
    • Physical properties
  • Loading of the component
    • Combined loading
    • Boundary conditions
ad