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CE 461 - Structural Analysis II

Required for a BSCE degree  

Course Description

Statically Indeterminate structures. Force Method: beams, frames, trusses and composite structures. Slope –Deflection Method: beams and frames including sway and support settlement effects and frames with inclined members. Moment Distribution Method: beams and frames. Introduction to stiffness Method for trusses, beams and frames. Computer applications.   3 (3,1,0)



GE 201 (Statics), CE 302 (Mechanics of Materials), CE 361 (Structural Analysis I)

Prerequisite by Topics:

  • Understanding of equilibrium equations to analyze engineering problems.
  • Determining the internal forces in statically determinate beams, frames & trusses.
  • Determining the area properties of various cross sections.
  • Determining deformation for statically determinate structures using virtual work method.

Course Learning Objectives

Students completing this course successfully will be able to

  1. Understanding the advantages and disadvantages of indeterminate structures
  2. Understand different methods used for analysis of indeterminate structures.
  3. Formulate the necessary equations to analyze statically indeterminate structures
  4. Apply the different method on different indeterminate structures.
  5. Understand the concept used in the structural analysis software.
  6. Use updated structural analysis software in solving indeterminate structures.
  7. Submit accurate analysis in an efficient and professional way.

Topics Covered

  1.         Introduction: Definition of indeterminate structures, degree of indeterminacy and degree of freedom, review of virtual work method. (3 hours) 
  2.         Force Method, Principle of superposition, compatibility equations. (6hours)
  3.         Application of force method to indeterminate beams under gravity loads and support settlement; indeterminate trusses under gravity and wind loads, support settlement, temperature, and lack of fit; indeterminate frames and composite structures. (6hours)
  4.         Slope Deflection Method (SDM), fixed end moments, continuity and rigidity conditions, equilibrium equations, modified stiffness. (6 hours)
  5.         Application of SDM to indeterminate beams, frames with and without side sway, beams and frames with support settlement. Frames with inclined members. (9 hours)
  6.         Moment distribution Method (MDM), distribution coefficients and carry over factors. (2 hours)
  7.         Application of MDM to indeterminate beams and frames. (4 hours)
  8.         Introduction to stiffness Method, stiffness matrix, load vector, displacement vector, structure modeling, local and global coordinates, displacement and force transformation matrix, joint and member loads. Applications to trusses, beams and rigid frames. (6 hours)
  9.        Computer application on structural analysis of indeterminate structures. (3 hours)

Class/ Tutorial  Schedule

Class is held three times per week in 50-minute lecture sessions. There is also a 50-minute weekly tutorial associated with this course.


Computer Applications

Commercial and educational structural software and MS Excel are greatly encouraged to be used during the course.


Contribution of Course to Meeting the Professional Component

  1.        Students learn and practice the analysis process to be involved in designing various structural components used in professional structural engineering.
  2.        Students recognize the role of professional societies in developing new structural software and updating current knowledge.

Relationship of Course to Program Outcomes

  1. .    Students apply algebra, elementary calculus, and principles of mechanics.
  2.      Students are able to identify and formulate an engineering problem and to develop a solution.
  3.       Students recognize the importance of analysis in designing structural components.
  4.       Students are encouraged to submit accurate analysis in an efficient and professional way.
  5.       Students recognize their role with an engineering team carrying other aspects for analyzing structures, in terms of choosing the structural systems and the interaction of decisions made by various architectural and engineering teams.
  6.       Students are encouraged to recognize the different structural systems and their range of applications.
  7.       Students recognize the ethical and professional responsibility in achieving accurate structural analysis for safe and economical design, and its impact on the well-being of the society.
  8.       Students recognize the need for technical updating on a continuing basis, since the course emphasizes on the changing nature of software.
  9.      Students recognize the importance of reading and understanding technical contents in English in order to achieve life–long learning and be able to carryout their responsibilities.
  10.      Students recognize the important role of computers in facilitating analysis and design of structural members and systems.

 Textbook(s) and/or Other Required Material

Structural Analysis, by R.C. Hibbeler, Prentice-Hall (Latest Edition)


Outcome Assessment

  • Two Midterm Exams                                       35%
  • Class Quizzes and Attendance                         5%
  • Tutorial Quizzes                                             10%
  • Final Exam                                                     50%
 CE 461 Documents
 27-28-II-Final.pdf                           26-27-II-Final.pdf
 27-28-II-EX2.pdf                     26-27-II-EX2.pdf
 27-28-II-EX1.pdf                     26-27-II-EX1.pdf
 27-28-I-Final.pdf                     25-26-I-Final.pdf
 27-28-I-EX2.pdf                      25-26-I-EX2.pdf
 27-28-1-EX1.pdf                      24-25-II-Final.pdf
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