Mechanics of Materials

Course Description:

This course explores the concept of stress and strain, state of stress and strain at a point, and stress-strain relations and material properties. Investigates moment of inertia of areas, stress and deformation of simple members under axial and torsional loads, and stresses in symmetrical beam bending. Two-dimensional stress transformation will be shown. Involves lab. sessions to support the lectures.

Laboratory Component:

Three laboratory experiments on tension, torsion and bending of materials are part of this course.

Textbook:

Mechanics of Materials, Beer, F.P., and Johnston Jr., E.R., McGraw-Hill Inc., New York
and lecture notes.

Topics Covered
STRESS AND STRAIN
  • Introduction, Equilibrium (1.1-1.2)
  • Normal and Shear Stress (1.3-1.5)
  • Allowable Stress and Design of Connectors (1.6-1.7)
  • Concept of Strain (2.1-2.2)
  • Stress vs. Strain (3.1-3.5)
  • Elastic Stress-Strain Relations, Creep and Fatigue (3.6-3.8, 10.6)
TRANSFORMATION OF STRESS AND STRAIN
  • Transformation of Plane Stress (9.1-9.3)
  • Mohr's Circle for Plane Stress (9.4-9.6)
AXIAL LOADING
  • Axially Loaded Members (4.1-4.2)
  • Statically Indeterminate Bars (4.3-4.5)
  • Thermal Stress (4.6)
  • Stress Concentration, Inelastic Deformation, Residual Stress (4.7-4.9)
TORSION
  • Stresses in a Circular Shaft in Torsion, Power Transmission (5.1-5.3)
  • Angle of Twist (5.4)
  • Statically Indeterminate Members (5.5)
BEAMS
  • Second Moments of Areas (A.2)
  • Review of Shear and Bending Moment Diagrams (6.1-6.2)
  • Stresses in Pure Bending (6.3-6.4)
  • Composite Beams (6.6-6.7)
  • Transverse Loading, Shear Stresses (7.1-7.3)
  • Shear Flow in Built-Up and Thin-Walled Members (7.4-7.5)
GENERAL TOPICS
  • General State of Stress, Maximum Shearing Stress (9.7)
  • Thin-Walled Pressure Vessels (8.1)
  • Strain Transformation (time permitting), (10.1-10.5)
General References:
  • Beer, F.P., and Johnston Jr., E.R., Mechanics of Materials, Second Edition, McGraw-Hill Inc., New York, 1992.
  • Bickford, W.B., Mechanics of Solids: Concepts and Applications, Richard D. Irwin, Inc., Boston, 1993.
  • Craig Jr., R.R., Mechanics of Materials, Second Edition, John Wiley & Sons, Inc., New York, 2000.
  • Davis, H.E., Troxell, G.E., and Hauck, G.F.W., The Testing of Engineering Materials, Fourth Edition, McGraw-Hill Inc., New York, 1982.
  • Gere, J.M., and Timoshenko, S.P., Mechanics of Materials, Third Edition, PWS-Kent Publishing Company, Boston, Massachusetts, 1990.
  • Riley, W.F., Sturges, L.D., and Morris, D.H., Mechanics of Materials, Fifth Edition, John Wiley & Sons, New York, 1999.
  • Popov, E.P., Engineering Mechanics of Solids, Second Edition, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1999.
  • Shames, I.H., Introduction to Solid Mechanics, Second Edition, Prentice-Hall, Inc., Englewoods Cliff, New Jersey, 1989.