CIEG 667-013 : Advanced Mechanics of Materials


CIEG 667-013
CONTENT OF LECTURES

Spring Semester 2000

Instructors :

H. Shenton
voice : 302.831.2247 ; e-mail
and
V. N. Kaliakin
voice : 302.831.2409 ; e-mail

Department of Civil & Environmental Engineering
University of Delaware

FAX : 302.831.3640

Lecture #1 (02-08-00) :
  • Discussion of Class Syllabus.
  • Review of stress.
Lecture #2 (02-10-00) :
  • Review of strain.
  • Review of constitutive relations.
Lecture #3 (02-15-00) :
  • Energy methods (Castigliano's Theorem).
  • Strain energy (axial, bending, shear, torsion).
  • Sample problems : beam, truss.
  • Homework Assignment #1 distributed, due 02-22-00.

Lecture #4 (02-17-00) :
  • Dummy load method.
  • Sample problems.
  • Introduction to statically indeterminate structures.
Lecture #5 (02-22-00) :
Lecture #6 (02-24-00) :
  • Review of Bernoulli-Euler beam theory.
  • Unsymmetric (skew) bending of beams.
    • Doubly symmetric cross-sections : bending about both principal axes.

Lecture #7 (02-29-00) :
  • Doubly symmetric cross-sections : bending about both principal axes (continued) : example problem of an inclined purlin.
  • Review of : 1) transformation equations for moments & products of inertia ; and, 2) principal axes of inertia.
  • Overview of shear center.
  • Homework Assignment #3 distributed, due 03-07-00.

Lecture #8 (03-02-00) :
  • Bending stresses in prismatic beams of arbitrary cross-section subjected to non-symmetrical bending.
  • Begin an example : bending of an "L" section.

Lecture #9 (03-07-00) :
  • Finish example : bending of an "L" section.
  • Displacements in prismatic beams of arbitrary cross-section subjected to non-symmetrical bending.
  • Example : transverse displacements of an inclined purlin.
  • Homework Assignment #4 distributed, due 03-14-00.

Lecture #10 (03-09-00) :
  • Shear Center for Thin-Wall Beam Cross-Sections.
    • General comments / assumptions.
    • Example : unsymmetrical I-beam.

Lecture #11 (03-14-00) :
  • Shear Center for Thin-Wall Beam Cross-Sections.
    • Example : Exercise 8.7 in text.
    • Example : Exercise 8.10 in text.
  • Homework Assignment #5 distributed, due 03-21-00.
  • NOTE: midterm examination will be given on March 23, 2000.

Lecture #12 (03-16-00) :
  • Finish Exercise 8.10 in text.
  • Thermal stresses/strains : special case of axial loading.
    • Example involving a linear variation in temperature.
    • Example involving bolt & sleeve of different materials.
  • NOTE: 75-minute examination (March 23, 2000) will emphasize energy methods & non-symmetric bending; only simple shear center problems will be included.

Lecture #13 (03-21-00) :
  • Qualitative discussion of Exercise 8.8 in text.
  • Thermal stresses & displacements in beams.

Lecture #14 (03-23-00) :
  • 75-minute examination.

Lecture #15 (04-04-00) :
  • Lecture cancelled.

Lecture #16 (04-06-00) :
  • Torsion
    • Overview of Saint Venant's semi-inverse method.
    • Prandtl's membrane analogy.
    • Torsion of thin rectangular section.


Lecture #17 (04-11-00) :
  • Torsion of sections comprised of thin rectangles (with examples).
  • Torsion of hollow, thin-walled sections (with examples).

Lecture #18 (04-17-00) :
  • Torsion of multi-compartment thin-walled sections.
  • Torsion of thin-walled sections with end restraints.

Lecture #19 (04-18-00) :
  • Derivation of governing differential equation for lateral torsional stability.

Lecture #20 (04-20-00) :
  • Lateral torsional buckling using energy methods (with examples).

Lecture #21 (04-25-00) :
  • Curved beams.
    • Derivation of governing equation for normal stress (with example problem).
    • Derivation of governing equation for radial stress.


Lecture #22 (04-27-00) :
  • Stresses in curved beams with thin flanges (with examples).
  • Bleich's analysis technique & correction factors

Lecture #23 (05-02-00) :
  • Deflection of curved beams using energy methods (with example).

Lecture #24 (05-04-00) :
  • Deflection of statically indeterminate curved beams.
  • Introduction to plates.

Lecture #25 (05-09-00) :
  • Plates.
    • General definitions.
    • Definition of force and moment intensities.
    • Equations associated with force equilibrium.


Lecture #26 (05-11-00) :
  • Plates.
    • Equations associated with moment equilibrium.
    • Kinematics (the Kirchhoff assumption).

  • Teaching evaluations

Lecture #27 (05-16-00) :
  • Plates.
    • Review of kinematics (the Kirchhoff assumption).
    • Constitutive relations for isotropic elastic plates.
    • Constitutive relations involving force and moment rintensities.
    • General expressions for stress associated with pure bending.

  • Take-home exam distributed (due Tuesday 23 May 2000).
  • Teaching evaluations




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Revision Date : 05-16-00