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1.573

Structural Mechanics

4-0-8 units · Graduate

See description under subject 2.080[J] .

Fall 2013

Topics

  • Overview of the Subject, Applications, Reconstruction of Famous Structural Accidents
  • Vector and Tensor Analysis; Review of Static Equilibrium
  • Concept of Strain
  • Concept of Stress
  • Stress / Strain Transformation, Mohr’s Circle
  • Multidimensional Elastic Stress-Strain Relations for Beams, Plates, and Shells; Elastic Strain Energy
  • Principle of Minimum Total Potential Energy, Principle of Virtual Work
  • Exact Solutions of the Differential Equation for Beam Deflections
  • Energy Method of Solving Beam Problems
  • Shear Stress in Beams and Shafts
  • Material Characterization
  • Moderately Large Deflection of Beams
  • Methods of Experimental Mechanics and Discussion of Lab Test
  • Concept of Stability of Elastic Structures, Rayleigh-Ritz Quotient
  • Solutions of Typical Column Buckling Problems
  • Distinction Between Buckling and Equilibrium Solutions, Imperfect Columns, and Columns with Eccentric Load
  • Elastic Plate Buckling, Buckling Loads, and Buckling Modes
  • Buckling of Sections, Stiffened Plates
  • Examples of Plate Buckling
  • Yield Condition and Limit Analysis
  • Application of Plasticity to Beams, Plates and Shell Problems
  • Mechanics in Cyclindrical Coordinate System (Thin and Thick Cylinders)
  • Solutions to Plasticity Problems
  • Formulation and Solution of Dynamically Loaded Beams and Plates
  • Fracture of Materials and Structures
  • Implosion of Cylinders and Submarine Safety
  • Case Studies: Columbia Space Shuttle and BP Deepwater Horizon
  • Estimation of Damage of Collision and Grounding of Ships
  • Energy Absorption and Crashworthiness of Vehicles

Readings

Prerequisites & course information

Same subject as 2.080[J] Prereq: 2.002 G (Fall) 4-0-8 units

Sources