Jun 14, 2024  
2021-2022 Undergraduate Academic Catalog 
2021-2022 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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ME 2004 - Mechanics of Materials I

4 lecture hours 0 lab hours 4 credits
Course Description
This is the first course in the mechanics of deformable bodies. Topics include stresses and strains produced by axial loading, torsion, and bending; elastic deflections of beams; effects of combined loading; and buckling of slender columns. (prereq: MA 137 , ME 2001 ) (coreq: ME 2002 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Determine stresses resulting from axial, bending, torsion, and transverse loading
  • Apply Hooke’s law for materials with linear stress-strain behavior to relate stress to strain
  • Determine the stress state in a member resulting from combinations of loads
  • Evaluate how planar stresses transform with 2D rotation
  • Determine principal stresses for a state of plane stress
  • Determine beam deflections
  • Identify and solve statically indeterminate beam problems
  • Utilize Euler’s equation to predict buckling limit loads for columns with various end conditions
  • Evaluate how planar stresses transform with 2D rotation

Prerequisites by Topic
  • Statics
  • Integral calculus
  • Differential calculus

Course Topics
  • Review of statics, reactions, and internal loads, basic axial stress and 1-D Hooke’s law
  • Axial stress concentrations, axial deformation, and mechanical properties of materials
  • Poisson’s ratio, shear stress and strain, 3-D Hooke’s law, and plane stress and strain
  • Stress on an inclined surface and stress transformation
  • Mohr’s circle for plane stress principle stresses, maximum shearing stresses, principle planes, and planes of maximum shear
  • Statically indeterminate axial members, torsion, angle of twist, and power transmission
  • Simple bending (flexural formula), transverse shear
  • Combined loading
  • Beam deflection
  • Euler buckling

Dr. Michael Sevier

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