Wendelin H. Mueller III, P.E., Ph.D.

Portland State University

Civil Engineering

 

CE421/521 Analysis of Framed Structures

 

 

Catalog Data:                         CE 421/521 Analysis of Framed Structures (4)

Generalized analysis of multi-story and irregular structural framework with classical methods; analysis of arches, curved beams and frames with nonprismatic members. Energy methods, with introduction to matrix methods, will be presented.

 

Textbook:                               None

 

References:                            McCormac, J. and Elling, R.E., Structural Analysis - A Classical and Matrix Approach, Harper & Row, New York.

                                                Hsieh, Y.Y., Elementary Theory of Structures, 3rd ed., Prentice‑Hall, 1988.

                                                Hibbeler, R.C., Structural Analysis, 3rd. ed., Prentice Hall, 1995.

 

 

Goals:                                     This course forms a solid foundation of knowledge in the classical structural analysis techniques. It prepares a senior or graduate student pursuing structural engineering as a specialty for more advanced computer related, non-linear analysis and design courses.

 

Prerequisites by Topic:

 

1.     Conjugate beam

2.     Virtual Work

3.     Castigliano Theorems I and II

4.     Slope Deflection

5.     Moment Distribution

 

Topics (2 hour classes):

 

1.      Review energy techniques (Castigliano and Virtual Work) and Conjugate Beam (2 classes)

2.      Energy analysis (deflection and reactions) of beams and frames studying the affect of  shear and axial force on performance (3 classes)

3.      Energy analysis (deflection and reactions) curved beams and frames with torsion (3 classes)

4.      Energy analysis of the above structures including translation and rotation springs (1 class)

5.      Slope deflection:  review, stability of single columns and frames (P*Delta) (3 classes)

6.      Formation of stiffness matrix (1 classes)

7.      Moment distribution:  review, spread sheet (1 classes)

8.      Non-prismatic members (3 classes)

9.      Introduction of Finite Difference solution of beams including P*Delta affect (1 class)

10.  Examinations (3 classes)

 

Computer Usage:

 

1.      General use of microprocessors to assist in doing and checking homework problems.

2.      Introduction to general purpose structural analysis programs.