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Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

Advanced Mechanics of Materials

ME 47200 / 3 Cr. (3 Class)

Studies of stresses and strains in three-dimensional elastic problems. Failure theories and yield criteria. Bending of curved beams. Torsion of bars with noncircular cross sections. Beams on elastic foundation. Energy methods. Selected topics. Students may not receive credit for both ME 47200 and ME 55000
Textbooks

Mechanics of Materials, Beer, Johnston, DeWolf and Mazurek, McGraw Hill, any edition

Outcomes
  • Understand the features of the stress-strain diagram, and calculate plastic deformation in axial loading
  • Calculate plastic deformation and residual stress in torsion and bending 
  • Solve basic problems in torsion of prismatic bars 
  • Solve problems that involve eccentric axial loads and unsymmetric bending 
  • Conduct the transformation of stress and strain in 2D and 3D, including finding the principal stresses and strain and the maximum shear stress and strain 
  • Work with various failure criteria of materials 
  • Find the strain energy of deformable bodies for different types of loads 
  • Solve mechanics of materials problems using energy methods 
Topics
  • Stress-Strain Diagram and Plastic Deformation
  • Plastic Deformation and Residual Stress in Circular Shafts
  • Torsion of Noncircular Members
  • Plastic Deformation and Residual Stress in Bending
  • Eccentric Axial Loading    
  • Unsymmetric Bending Analysis                          
  • Bending in Curved Members
  • 3D Analysis of Stress
  • Theories of Failure
  • Transformation and Measurement of Strain
  • Combined Loading