Undergraduate Course: Structural Analysis 3 (CIVE09036)
|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
|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 covers the principle of virtual work for deflection analysis; analysis of indeterminate structures using the force method (flexibility method); analysis of indeterminate structures using the displacement method, including the slope-deflection method and moment distribution method. It then proceeds to the matrix stiffness method for structural analysis through the direct stiffness formulation, and the general aspects of structural modelling and computer analysis. The course emphasises on the connections among different approaches and specific situations where a particular method may be applied more effectively.
Week 1 Course Introduction: 1: From members and sections to structures; Fundamental structural analysis principles and indeterminacy;Analysis of deflections using Energy Methods-Principle of work and energy; Method of virtual work and applications; Basic matrix algebra and matrix operations.
Week 2 Analysis of statically indeterminate structures by the force method: Force method of analysis for statically indeterminate structures; Maxwell's theorem of reciprocal displacements; Application of virtual work method for displacements and flexibility coefficients; Matrix flexibility analysis.
Week 3 Displacement method of analysis(I): Displacement method of analysis: general procedures; Slope-Deflection equations and application on beams and frames (No Sidesway and with Sidesway).
Week 4 Displacement method of analysis (II): Moment distribution; General principles and definitions; Moment distribution for beams; Stiffness-factor modifications; Moment distribution for frames: No Sidesway; Moment
Distribution for Frames: Sidesway.
Week 5 Direct stiffness method (I)-Beams: Fundamentals of the stiffness method; Beam-member stiffness matrix; Assembling of stiffness matrix; Member loads; Matrix solutions.
Week 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.
Week 7 Direct stiffness method (III) -Frames & Unit displacement approach:Frame-member stiffness matrix; displacement and force transformation matrices; Frame-member global stiffness matrix; Assembling of frame stiffness matrix; Matrix solutions; Unit displacement approach to formulation of stiffness matrices; Application of unit displacement method on beams& simple truss and frames.
Week 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.
Week 9 Summary and revision .
Week 8-11 Computer labs, Software practice and computer project.
Information for Visiting Students
|Pre-requisites||Students need a prior understanding of structural mechanics and/or mechanics of materials at a level equivalent to Structural Mechanics 2A & Structural Mechanics 2B.
|High Demand Course?
Course Delivery Information
|Academic year 2018/19, Available to all students (SV1)
|Learning and Teaching activities (Further Info)
Lecture Hours 34,
Seminar/Tutorial Hours 9,
Supervised Practical/Workshop/Studio Hours 12,
Formative Assessment Hours 20,
Summative Assessment Hours 3,
Revision Session Hours 2,
Programme Level Learning and Teaching Hours 4,
Directed Learning and Independent Learning Hours
|Assessment (Further Info)
|Additional Information (Assessment)
||Written Exam %: 80
Practical Exam %:
Coursework %: 20
||1.Start, Stop, Continue during semester
2.Seminar discussion /cross-checking session at mid-term
3.Computer lab coursework at end of semester
||Hours & Minutes
|Main Exam Diet S1 (December)||3:00|
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;
- Apply the principle of virtual work for the analysis of deflections, and in conjunction with the flexibility method calculate the redundant support reactions in beams and simple truss and frame structures by hand;
- Calculate the joint displacements and internal force diagrams of non-sway and sway frames by hand;
- Apply the matrix stiffness methods to analyse the deformations and forces in a variety of 2D structures, including beam, plane truss and plane frame, 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.
|- Russell C. Hibbeler, Structural Analysis, 9th edition, |
- 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),
|Graduate Attributes and Skills
|Course organiser||Prof Yong Lu
|Course secretary||Mr Craig Hovell
Tel: (0131 6)51 7080