Undergraduate Course: Structural Analysis 3 (CIVE09036)
Course Outline
School  School of Engineering 
College  College of Science and Engineering 
Credit level (Normal year taken)  SCQF Level 9 (Year 3 Undergraduate) 
Availability  Available to all students 
SCQF Credits  20 
ECTS Credits  10 
Summary  This course introduces the classical methods of analysis for statically indeterminate structures, especially structures comprising line elements, namely beam, truss and frame structures. It firstly extends from earlier structural mechanics knowledge on deflection of beams to the general analysis of deflections in statically determinate structures, with an emphasis on the method of virtual work. This is followed by the analysis of indeterminate structures using the force method (flexibility method); analysis of indeterminate structures using the displacement method, including the slopedeflection method and moment distribution method. It then proceeds to the matrix stiffness method for structural analysis using the direct stiffness approach, and the general aspects of structural modelling and computer analysis. The course provides a comprehensive cover of the fundamental principles, analysis techniques and practical skills that are required in modern structural analysis applications. Students will also develop a deep appreciation of the interlinks between different methods of structural analysis. 
Course description 
Topic 1 Course Introduction: From members and sections to structures; Fundamental structural analysis principles and indeterminacy; Analysis of deflections in determinate structures using Energy Methods  Principle of work and energy, method of virtual work and applications; Beam deflections by discontinuity functions (Macaulay brackets).
Topic 2 Analysis of statically indeterminate structures by the force method: Concept of force method; Maxwell's theorem of reciprocal displacements; Application of virtual work method (or a suitable alternative method) to calculate displacements and flexibility coefficients in the primary structure; Matrix flexibility equations and solution. Basic matrix algebra and matrix operations.
Topic 3 Displacement method of analysis (I): Displacement method of analysis  general procedures; SlopeDeflection equations and application on beams and frames (No Sidesway and with Sidesway).
Topic 4 Displacement method of analysis (II): Moment distribution; General principles and definitions; Moment distribution for beams; Stiffnessfactor modifications; Moment distribution for frames  No Sidesway; Moment Distribution for Frames  Sidesway.
Topic 5 Direct stiffness method (I)  Beams: Fundamentals of the stiffness method; Beammember stiffness matrix; Assembling of stiffness matrix; Member loads; Matrix solutions.
Topic 6 Direct stiffness method (II) Trusses: Local and Global axis systems; Truss member stiffness matrix; Displacement and force transformation matrices; Member global stiffness matrix; Assembling of truss stiffness matrix; Matrix solutions.
Topic 7 Direct stiffness method (III) Frames: Framemember stiffness matrix; displacement and force transformation matrices; Framemember global stiffness matrix; Assembling of frame stiffness matrix; Matrix solutions. Unit displacement approach to formulation of stiffness matrices and example applications. Further discussion of DOFs.
Topic 8 Structural modelling and computer analysis:General structural modelling; Modelling a structure and its members; Loads and load combinations; General Application of a structural analysis computer program; Verification and interpretation of results; Limitation of linear elastic analysis and what's next. Briefing of computer labs.
Summary and revision .
Computer labs: Software practice and computer analysis project.

Entry Requirements (not applicable to Visiting Students)
Prerequisites 
Students MUST have passed:
Structural Mechanics 2 (CIVE08026)

Corequisites  
Prohibited Combinations  
Other requirements  None 
Information for Visiting Students
Prerequisites  Students need a prior understanding of structural mechanics and/or mechanics of materials at a level equivalent to Structural Mechanics 2. 
High Demand Course? 
Yes 
Course Delivery Information

Academic year 2022/23, Available to all students (SV1)

Quota: None 
Course Start 
Semester 1 
Timetable 
Timetable 
Learning and Teaching activities (Further Info) 
Total Hours:
200
(
Lecture Hours 34,
Seminar/Tutorial Hours 9,
Supervised Practical/Workshop/Studio Hours 16,
Formative Assessment Hours 2,
Summative Assessment Hours 3,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
130 )

Assessment (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Additional Information (Assessment) 
Written Exam %: 80
Practical Exam %:
Coursework %: 20 
Feedback 
1.Start, Stop, Continue during semester
2.Seminar discussion /crosschecking session at midterm
3.Computer project coursework at end of semester 
Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)   3:00   Resit Exam Diet (August)   3:00  
Learning Outcomes
On completion of this course, the student will be able to:
 Describe the concepts of static and kinematic indeterminacies of structures, and their roles in structural analysis;
 Analyse deflections (of determinate structures) using the principle of virtual work & other suitable techniques, and in conjunction with the flexibility method calculate the redundant support reactions in statically indeterminate beams and simple truss and frame structures by hand;
 Calculate the bending moments and shear forces for statically indeterminate beams and frames by hand, using the SlopeDeflection method / Moment Distribution method, and construct the internal force diagrams.
 Apply the matrix stiffness methods to analyse the deformations and forces in a variety of 2D structures, including beams, plane trusses and plane frames, and carry out checks and interpret results in connection with basic mechanics of structures;
 Carry out linear elastic modelling and analysis of 2D framed structures using structural analysis software.

Reading List
 Russell C. Hibbeler, Structural Analysis, 9th edition,
2014.
 McGuire W., Gallagher R.J. and Ziemian R.D.,
Matrix Structural Analysis, 2nd edition. John
Wiley & Sons, 2000/2015 (new print).
 Coates, R.C., Coutie, M.G. & Kong, F.K., Structrural
analysis, 3rd edition, Van Nostrand Reinhold (UK),
Wokingham, (1988). 
Additional Information
Graduate Attributes and Skills 
Not entered 
Keywords  Not entered 
Contacts
Course organiser  Prof Yong Lu
Tel:
Email: Yong.Lu@ed.ac.uk 
Course secretary  Miss Paulina Wisniowska
Tel:
Email: pwisniow@ed.ac.uk 

